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1 INTRODUCTION

The following is a short post on predicting small-strain stiffness properties from CPTU measurements by ensembling several machine learning (ML) models. More specifically, we are going to predict the value of the shear modulus at small strain, Gmax. The basic workflow can be summarized in these steps:

Here I will use open-source data from the HKN offshore wind farm in the Netherlands, which are provided from the RVO WEBSITE 👏👏👏

It is important to emphasize that this is mainly a demonstrative blog post, meaning that I am not doing very technically-strict analyses here. Although I am going to work on various aspects on geotechnical site assessment, those topics won’t be treated in detail, and often, simplified approaches or existing analyses will be used. I will try to be careful to emphasize the points where these “shortcuts” are adopted.

2 SETUP

The analysis is done using the R programming language. All the code is incorporated in the writing, so it’s clear which code chunk produces each piece of the output. Code parts are put in dark squares, to make it easy to separate them from the general text and the graphics. If you are not familiar with R, chances are that you can still follow along with the code, since the used syntax is relatively easy. For any questions/remarks you can also of course contact me on LinkedIn.

2.1 Libraries

The first step is to load few packages that will make life easier for us, since they facilitate a lot of stuff. We don’t strictly need all these packages but few of them are used just for aesthetic purposes. I have also loaded some fonts from Google Fonts, mainly to make our plots and text look prettier.

# libraries
library(tidyverse)
library(tidymodels)
library(stacks)
library(vroom)
library(readxl)
library(showtext)
library(slider)
library(bslib)
library(ggforce)
library(ggtext)
library(thematic)
library(kableExtra)
library(patchwork)
library(paletteer)

# fonts
font_add_google("Fira Code", "Fira Code")
showtext_auto()

Besides the code shown here, I’ll also make use of few source files and functions which include some relatively long code to read and format AGS 4.0 files, to create plotting themes, etc. I excluded those from this post since it’s already a long one.

2.2 Functions and helpers

Here, some functions and properties we are going to use through the analysis.

Colors to be used:

# color preview functions
color_preview_dep <- 
  function() {
  htmltools::htmlDependency(
    name = "color_preview",
    version = "0.0.1",
    src = ".",
    all_files = FALSE,
    head = "
<style>.color-preview {
  display: inline-block;
  width: 1em;
  height: 1em;
  border-radius: 50%;
  margin: 0 0.33em;
  vertical-align: middle;
  transition: transform 100ms ease-in-out;
}

.color-preview:hover {
  cursor: pointer;
  transform: scale(2);
  transform-origin: 50% 50%;
}</style>"
  )
}

color_preview <- 
  function(color) {
  htmltools::tagList(
    htmltools::span(
      class = "color-preview",
      style = paste("background-color:", color),
      .noWS = "outside"
    ),
    htmltools::code(color, .noWS = "outside"),
    color_preview_dep()
  )
}
# colors
col_r <- "#ef476f"
col_y <- "#ffd166"
col_g <- "#06d6a0"
col_b <- "#118ab2"

colors <- c(
  "#ef476f",
  "#ffd166",
  "#06d6a0",
  "#118ab2"
)

items_color <- 
  lapply(colors, function(color) {
  htmltools::tags$li(color_preview(color))
})
htmltools::tags$ul(items_color)
  • #ef476f
  • #ffd166
  • #06d6a0
  • #118ab2
# grays
gray_1 <- "#2F2F2FFF"
gray_2 <- "#474747FF"
gray_3 <- "#DFDFDFFF"
gray_4 <- "#F7F7F7FF"

grays <- c(
  "#2F2F2FFF",
  "#474747FF",
  "#DFDFDFFF",
  "#F7F7F7FF"
)

items_gray <- 
  lapply(grays, function(color) {
  htmltools::tags$li(color_preview(color))
})
htmltools::tags$ul(items_gray)
  • #2F2F2FFF
  • #474747FF
  • #DFDFDFFF
  • #F7F7F7FF

Function to create and style tables:

# table function
func_tbl <- 
  function(dataframe){
  kable(dataframe, align = "r") %>%
  kable_styling(fixed_thead = T,
                html_font = ("Fira Code"),
                font_size = 12,
                bootstrap_options = "condensed") %>%
  row_spec(0, background = "#E7E7E7FF") %>%
  scroll_box(height = "350px")
}

Theme and details for graphics:

# update default theme
ggtheme <-
  theme_light() +
  theme(
    text = element_text(family = "Fira Code", size = 8.25, color = gray_1),
    plot.title = element_text(face = "bold", size = 8.25, hjust = 0.5),
    axis.title = element_text(face = "bold", size = 8.25),
    axis.text = element_text( size = 8.25, color = gray_2),
    panel.grid.major = element_line(color = gray_3, size = 0.25),
    panel.grid.minor = element_blank(),
    axis.ticks = element_line(color = gray_2, size = 0.25),
    axis.ticks.length = unit(.25, "cm"),
    panel.border = element_rect(color = gray_2, size = 0.25),
    strip.text = element_text(family = "Fira Code", size = 8.25, color = gray_1),
    legend.background = element_blank(),
    plot.background = element_blank(),
    panel.background = element_blank(),
    strip.background = element_blank(),
    legend.key = element_blank(),
    plot.margin = margin(t = 5, r = 10, b = 5, l = 10)
  )

# set theme
theme_set(ggtheme)

# details for annotations
annotation_fill <- gray_4
annotation_color <- gray_2
annotation_label.color <- NA
annotation_family <- "Fira Code"
annotation_size <- unit(2.75, "pt")
annotation_hjust <- 0.5
annotation_vjust <- 0.5
annotation_label.padding <- unit(2, "pt")
annotation_label.r <- unit(0, "pt")
annotation_fontface <- "bold"

3 DATA

As mentioned, I am using data from the HKN offshore wind farm. The data is provided in few different formats (AGS 4.0, XLSX, etc), so we are going to read and analyze the relevant data separately and them merge/filter them, as we create the right setup for training our ML models.

3.1 Locations

3.1.1 Read locations data

It’s important to initially have a general view of the site. For this, we would need the locations of all in-situ tests performed. This data can be extracted from the set of AGS 4.0 files, listed below.

# list of source files
list_AGS <- list.files(pattern = ".ags")
func_tbl(as_tibble_col(list_AGS, column_name = "AGS file name"))
AGS file name
HKN_20190221_FNLM_AGS4.0_V04_F.ags
HKN_20190306_FNLM_HKN02-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN04-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN06-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN10-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN11-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN14-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN19-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN21-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN25-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN26-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN27-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN28-BH-SC_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN31-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN33-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN34-BH-CP_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN36-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN37-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN39-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN41-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN44-BH-CP_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN46-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN47-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN47A-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN48A-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN51-BH-CP_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN52-BH-CP_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN56-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN58-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN60-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN65-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN67-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN70-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN72A-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN75-BH-SA_CPT_AGS4.0_V05_F.ags


All seabed CPTU tests data are included in one file (the first row in the above table), while down-hole CPTUs are in separated files, one for each location. OSS data are not included here. I have previously downloaded the data locally, saved in my PC and read all AGS 4.0 files and converted them into one tabular CSV file.

It has to be noted that, a distinction is made between location and test point. This is because several tests may have been run on essentially the same location, but considering that they don’t exactly overlap and that they represent different tests, a distinction is made. Basically, the same location may include more than one test points. E.g. location HKN01 includes 4 test points: HKN02-BH-SA, HKN02-PCPT, HKN02-SCPT-A, and HKN02-TCPT.

Here we read the locations data and differentiate between various test types. In few locations we have duplicated tests of the same type, so (arbitrarily) we keep the deepest of these tests.

# read location data
data_loc <-
  vroom("locations.csv") %>%
  select(c(LOCA_ID, LOCA_NATE, LOCA_NATN, LOCA_FDEP, LOCA_WDEP)) %>%
  mutate(across(LOCA_ID, as.factor)) %>%
  # pull out type of test and location
  mutate(
    TYPE = case_when(
      str_detect(LOCA_ID, "PCPT") ~ "PCPT",
      str_detect(LOCA_ID, "TCPT") ~ "TCPT",
      str_detect(LOCA_ID, "SCPT") ~ "SCPT",
      str_detect(LOCA_ID, "BH") ~ "BH"
    )
  ) %>%
  mutate(LOCATION = stringr::str_extract(LOCA_ID, "HKN..")) %>%
  # filter max depth for duplicated test points
  group_by(LOCA_ID) %>%
  filter(LOCA_FDEP == max(LOCA_FDEP)) %>%
  ungroup() %>%
  mutate(LOCA_NR = stringr::str_remove(LOCATION, "HKN")) %>%
  mutate(across(is.character, as.factor))

# table
func_tbl(data_loc)
LOCA_ID LOCA_NATE LOCA_NATN LOCA_FDEP LOCA_WDEP TYPE LOCATION LOCA_NR
HKN01-PCPT 589266.1 5852097 41.03 23.70 PCPT HKN01 01
HKN02-PCPT 589320.9 5850857 52.89 23.50 PCPT HKN02 02
HKN02-SCPT-A 589317.8 5850855 23.50 23.70 SCPT HKN02 02
HKN02-TCPT 589324.6 5850857 5.97 23.70 TCPT HKN02 02
HKN03-PCPT 587546.7 5850495 33.21 25.20 PCPT HKN03 03
HKN04-PCPT 586988.3 5849090 18.50 25.00 PCPT HKN04 04
HKN04-PCPT-A 586988.4 5849092 18.94 25.10 PCPT HKN04 04
HKN05-PCPT 588400.8 5849077 32.67 23.00 PCPT HKN05 05
HKN06-PCPT 590393.5 5849497 22.51 21.40 PCPT HKN06 06
HKN06-SCPT 590391.3 5849500 23.09 21.30 SCPT HKN06 06
HKN06-TCPT 590393.1 5849501 5.97 21.30 TCPT HKN06 06
HKN07-PCPT 591558.3 5848353 44.73 23.00 PCPT HKN07 07
HKN08-PCPT 592124.0 5847063 28.18 22.00 PCPT HKN08 08
HKN09-PCPT 589610.5 5847514 33.02 22.10 PCPT HKN09 09
HKN09-TCPT 589606.7 5847511 6.53 22.10 TCPT HKN09 09
HKN10-PCPT 587928.1 5848180 44.23 23.80 PCPT HKN10 10
HKN10-SCPT 587928.1 5848176 43.68 24.10 SCPT HKN10 10
HKN10-TCPT 587932.3 5848180 5.99 24.20 TCPT HKN10 10
HKN11-PCPT 586917.6 5847496 12.04 25.60 PCPT HKN11 11
HKN12-PCPT-A 584914.5 5846530 45.08 25.30 PCPT HKN12 12
HKN13-PCPT 587495.9 5846196 39.11 24.80 PCPT HKN13 13
HKN14-PCPT 587313.2 5845739 28.57 24.40 PCPT HKN14 14
HKN14-SCPT 587308.7 5845739 15.81 24.10 SCPT HKN14 14
HKN14-SCPT-A 587310.8 5845737 28.02 24.10 SCPT HKN14 14
HKN15-PCPT 588787.0 5846757 43.59 22.40 PCPT HKN15 15
HKN16-PCPT 590165.7 5846221 30.48 21.80 PCPT HKN16 16
HKN17-PCPT 590919.5 5845387 25.67 23.30 PCPT HKN17 17
HKN18-PCPT 589798.3 5845280 48.72 25.40 PCPT HKN18 18
HKN19-PCPT 588689.5 5845196 14.76 23.40 PCPT HKN19 19
HKN20-PCPT 585526.3 5845374 52.22 24.00 PCPT HKN20 20
HKN21-PCPT-B 583776.0 5845001 52.97 22.60 PCPT HKN21 21
HKN21-SCPT 583770.3 5845001 31.63 22.90 SCPT HKN21 21
HKN21-SCPT-A 583772.9 5844999 52.89 23.00 SCPT HKN21 21
HKN21-TCPT 583773.8 5845005 5.94 23.10 TCPT HKN21 21
HKN22-PCPT 582759.3 5843771 9.07 22.70 PCPT HKN22 22
HKN22-PCPT-A 582763.3 5843773 36.06 22.50 PCPT HKN22 22
HKN23-PCPT 584972.3 5843963 2.11 24.20 PCPT HKN23 23
HKN23-PCPT-A 584972.3 5843965 43.60 24.10 PCPT HKN23 23
HKN24-PCPT 586107.4 5844073 10.05 24.80 PCPT HKN24 24
HKN24-PCPT-A 586107.1 5844078 47.54 24.70 PCPT HKN24 24
HKN25-PCPT 585269.1 5843312 47.44 23.60 PCPT HKN25 25
HKN25-SCPT 585270.4 5843310 37.18 23.70 SCPT HKN25 25
HKN25-TCPT 585272.9 5843313 6.39 23.70 TCPT HKN25 25
HKN26-PCPT 587685.3 5843979 41.08 23.70 PCPT HKN26 26
HKN26-SCPT 587681.8 5843981 22.59 23.80 SCPT HKN26 26
HKN26-TCPT 587683.3 5843975 6.01 23.80 TCPT HKN26 26
HKN27-PCPT 589912.6 5844169 45.47 25.40 PCPT HKN27 27
HKN27-SCPT 589910.9 5844173 23.07 25.50 SCPT HKN27 27
HKN27-TCPT 589909.3 5844169 4.37 25.40 TCPT HKN27 27
HKN28-PCPT 590817.6 5844393 29.12 24.50 PCPT HKN28 28
HKN29-PCPT 590868.9 5843641 39.36 22.90 PCPT HKN29 29
HKN30-PCPT 591478.0 5843016 17.41 20.30 PCPT HKN30 30
HKN30-PCPT-A 591481.6 5843016 47.98 20.20 PCPT HKN30 30
HKN31-PCPT 591397.8 5842510 18.34 20.20 PCPT HKN31 31
HKN31-SCPT 591396.7 5842506 17.31 20.30 SCPT HKN31 31
HKN31-TCPT 591394.6 5842509 7.48 20.40 TCPT HKN31 31
HKN32-PCPT 590109.9 5841939 6.76 21.90 PCPT HKN32 32
HKN32-PCPT-A 590106.6 5841938 25.00 21.80 PCPT HKN32 32
HKN33-PCPT 589166.2 5842307 52.94 22.70 PCPT HKN33 33
HKN34-PCPT 586763.2 5841667 52.76 24.40 PCPT HKN34 34
HKN35-PCPT 586021.2 5842484 46.81 22.50 PCPT HKN35 35
HKN36-PCPT 585535.8 5841239 44.60 23.20 PCPT HKN36 36
HKN36-SCPT 585540.2 5841240 22.00 23.60 SCPT HKN36 36
HKN36-TCPT 585534.8 5841243 5.98 23.40 TCPT HKN36 36
HKN37-PCPT 583179.0 5842128 46.17 23.60 PCPT HKN37 37
HKN38-PCPT 581098.3 5842274 52.25 24.00 PCPT HKN38 38
HKN38-SCPT 581096.8 5842278 16.40 24.10 SCPT HKN38 38
HKN38-TCPT 581101.7 5842275 5.96 24.00 TCPT HKN38 38
HKN39-PCPT 581848.7 5841471 46.70 24.30 PCPT HKN39 39
HKN40-PCPT 579806.2 5839016 42.64 24.60 PCPT HKN40 40
HKN41-PCPT 581089.5 5839566 37.97 24.20 PCPT HKN41 41
HKN41-SCPT-D 581093.9 5839567 29.74 24.10 SCPT HKN41 41
HKN41-TCPT 581092.4 5839563 6.43 24.40 TCPT HKN41 41
HKN42-PCPT 582588.8 5840074 44.57 23.50 PCPT HKN42 42
HKN43-PCPT 583617.6 5839122 48.53 23.20 PCPT HKN43 43
HKN44-PCPT 584642.4 5840366 52.87 23.60 PCPT HKN44 44
HKN45-PCPT 586212.0 5840260 45.67 22.40 PCPT HKN45 45
HKN46-PCPT 586949.7 5839451 6.78 23.00 PCPT HKN46 46
HKN46-PCPT-A 586952.7 5839449 6.88 23.00 PCPT HKN46 46
HKN46-TCPT 586948.3 5839452 6.00 23.10 TCPT HKN46 46
HKN47-PCPT 587976.7 5840642 27.81 22.60 PCPT HKN47 47
HKN47-SCPT 587976.7 5840638 2.85 22.60 SCPT HKN47 47
HKN47-SCPT-A 587974.0 5840639 6.19 22.60 SCPT HKN47 47
HKN47-TCPT 587980.2 5840641 5.48 22.60 TCPT HKN47 47
HKN48-PCPT 589560.4 5840555 48.50 23.70 PCPT HKN48 48
HKN48-SCPT 589564.1 5840556 9.05 23.80 SCPT HKN48 48
HKN48-SCPT-A 589562.7 5840559 23.63 23.80 SCPT HKN48 48
HKN48-TCPT 589557.0 5840556 5.99 23.60 TCPT HKN48 48
HKN49-PCPT 591312.1 5840932 22.63 20.20 PCPT HKN49 49
HKN50-PCPT 590574.0 5839075 48.28 21.00 PCPT HKN50 50
HKN51-PCPT 588263.6 5837835 52.71 23.00 PCPT HKN51 51
HKN52-PCPT 588838.3 5835994 52.81 21.50 PCPT HKN52 52
HKN53-PCPT 586430.7 5836721 46.72 24.20 PCPT HKN53 53
HKN54-PCPT 585808.6 5837881 41.60 21.40 PCPT HKN54 54
HKN55-PCPT 585477.7 5838390 39.51 21.20 PCPT HKN55 55
HKN56-PCPT 584815.0 5838094 44.72 22.70 PCPT HKN56 56
HKN56-SCPT 584818.3 5838097 30.23 22.70 SCPT HKN56 56
HKN56-SCPT-A 584814.5 5838098 43.17 23.00 SCPT HKN56 56
HKN56-TCPT 584818.9 5838092 6.01 22.80 TCPT HKN56 56
HKN57-PCPT 584454.9 5837177 32.50 22.60 PCPT HKN57 57
HKN58-PCPT 582519.1 5837743 43.72 23.20 PCPT HKN58 58
HKN58-SCPT 582522.5 5837742 35.91 23.00 SCPT HKN58 58
HKN58-TCPT 582519.6 5837739 5.97 22.90 TCPT HKN58 58
HKN59-PCPT 581479.9 5837821 36.23 23.80 PCPT HKN59 59
HKN60-PCPT-A 580367.6 5837724 52.34 24.60 PCPT HKN60 60
HKN61-PCPT 578816.4 5835122 34.37 25.40 PCPT HKN61 61
HKN61-TCPT 578816.7 5835118 5.95 25.20 TCPT HKN61 61
HKN62-PCPT 577792.6 5833904 46.57 25.40 PCPT HKN62 62
HKN63-PCPT 578263.0 5833729 46.20 25.40 PCPT HKN63 63
HKN64-PCPT 579847.9 5833645 43.38 24.10 PCPT HKN64 64
HKN65-PCPT 580200.3 5834573 36.75 24.10 PCPT HKN65 65
HKN65-SCPT 580197.1 5834569 36.97 24.10 SCPT HKN65 65
HKN65-TCPT 580196.6 5834573 5.98 24.00 TCPT HKN65 65
HKN66-PCPT 582426.0 5834755 43.15 22.20 PCPT HKN66 66
HKN67-PCPT 583453.6 5833825 47.95 20.20 PCPT HKN67 67
HKN67-SCPT 583457.5 5833823 21.42 20.90 SCPT HKN67 67
HKN67-TCPT 583456.7 5833827 5.89 20.50 TCPT HKN67 67
HKN67-TCPT-A 583450.1 5833827 3.05 20.50 TCPT HKN67 67
HKN68-PCPT 585590.0 5834599 44.04 25.00 PCPT HKN68 68
HKN69-PCPT 586513.1 5834233 36.04 23.80 PCPT HKN69 69
HKN70-PCPT 590429.2 5833249 41.53 20.90 PCPT HKN70 70
HKN70-SCPT 590429.0 5833254 14.55 20.80 SCPT HKN70 70
HKN70-TCPT 590425.1 5833250 5.96 20.80 TCPT HKN70 70
HKN71-PCPT 588667.2 5832859 43.94 21.40 PCPT HKN71 71
HKN72-PCPT 585780.5 5832365 44.83 23.00 PCPT HKN72 72
HKN72-SCPT 585779.2 5832369 31.38 23.30 SCPT HKN72 72
HKN72-SCPT-A 585783.0 5832368 50.28 23.20 SCPT HKN72 72
HKN72-TCPT 585775.1 5832366 5.98 23.10 TCPT HKN72 72
HKN73-PCPT 584035.6 5831995 48.47 22.90 PCPT HKN73 73
HKN74-PCPT 579576.1 5831582 51.47 25.60 PCPT HKN74 74
HKN75-PCPT 578460.7 5831480 41.16 21.70 PCPT HKN75 75
HKN75-SCPT 578463.2 5831477 15.79 22.00 SCPT HKN75 75
HKN75-SCPT-A 578458.1 5831477 17.83 22.00 SCPT HKN75 75
HKN75-TCPT 578464.0 5831481 6.03 21.70 TCPT HKN75 75
HKN02-BH-SA 589323.0 5850861 60.02 24.80 BH HKN02 02
HKN04-BH-SA 586985.0 5849088 79.93 25.30 BH HKN04 04
HKN06-BH-SA 590397.0 5849499 60.93 23.90 BH HKN06 06
HKN10-BH-SA 587923.8 5848179 60.94 25.30 BH HKN10 10
HKN11-BH-SA 586920.2 5847498 59.41 27.51 BH HKN11 11
HKN14-BH-SA 587315.0 5845736 59.42 26.51 BH HKN14 14
HKN19-BH-SA 588694.0 5845195 61.42 24.41 BH HKN19 19
HKN21-BH-SA 583777.5 5845005 59.90 25.21 BH HKN21 21
HKN25-BH-SA 585270.0 5843316 60.42 25.41 BH HKN25 25
HKN26-BH-SA 587685.9 5843982 60.93 24.41 BH HKN26 26
HKN27-BH-SA 589915.0 5844173 59.46 26.60 BH HKN27 27
HKN28-BH-SC 590821.0 5844395 60.38 25.71 BH HKN28 28
HKN31-BH-SA 591401.0 5842513 59.42 21.60 BH HKN31 31
HKN33-BH-SA 589163.4 5842311 60.94 25.10 BH HKN33 33
HKN34-BH-CP 586764.5 5841670 60.96 25.80 BH HKN34 34
HKN36-BH-SA 585531.1 5841239 61.49 25.80 BH HKN36 36
HKN37-BH-SA 583180.3 5842133 61.32 25.21 BH HKN37 37
HKN39-BH-SA 581851.2 5841468 60.44 25.21 BH HKN39 39
HKN41-BH-SA 581087.0 5839563 66.47 26.31 BH HKN41 41
HKN44-BH-CP 584641.1 5840371 61.00 25.90 BH HKN44 44
HKN46-BH-SA 586953.7 5839453 60.45 24.30 BH HKN46 46
HKN47-BH-SA 587972.7 5840638 20.50 23.80 BH HKN47 47
HKN47A-BH-SA 587978.4 5840645 59.95 24.00 BH HKN47 47
HKN48A-BH-SA 589557.0 5840553 79.93 24.70 BH HKN48 48
HKN51-BH-CP 588261.0 5837832 60.92 26.31 BH HKN51 51
HKN52-BH-CP 588836.5 5835989 62.42 23.20 BH HKN52 52
HKN56-BH-SA 584815.0 5838090 59.92 26.31 BH HKN56 56
HKN58-BH-SA 582517.0 5837746 60.93 26.31 BH HKN58 58
HKN60-BH-SA 580366.9 5837717 59.42 26.31 BH HKN60 60
HKN65-BH-SA 580200.5 5834577 59.49 25.51 BH HKN65 65
HKN67-BH-SA 583452.0 5833821 59.96 24.00 BH HKN67 67
HKN70-BH-SA 590431.8 5833252 79.39 22.82 BH HKN70 70
HKN72A-BH-SA 585782.7 5832362 59.45 24.00 BH HKN72 72
HKN75-BH-SA 578461.0 5831484 61.38 23.30 BH HKN75 75


Here:

  • LOCA_ID: ID of the test point;
  • LOCA_NATE and LOCA_NATN: coordinates of the test point;
  • LOCA_FDEP: final depth of the test;
  • LOCA_WDEP: water depth;
  • TYPE: type of the test;
    • PCPT: porepressure CPT;
    • TCPT: thermal CPTU;
    • SCPT: seismic CPTU;
    • BH: down-hole CPTU;
  • LOCATION: location of the test point;
  • LOCA_NR: number of the location.

We see that the same LOCATION doesn’t have unique coordinates, but LOCA_IDs do. In this sense, a LOCATION can be seen as a cluster of different LOCA_IDs (test points).

3.1.2 Explore locations

To understand the data better, we need to explore them a little bit. Some visualizations could be very helpful in this regard, considering we have a complex site here, with a lot of test points. Here, we have built a plan view of the site.

ggplot(data_loc, aes(LOCA_NATE, LOCA_NATN)) +
  geom_point(aes(color = TYPE), size = 8, alpha = 1/4) +
  geom_richtext(
    data = data_loc, aes(label = LOCA_NR),
    color = annotation_color,
    family = annotation_family,
    size = annotation_size,
    fill = NA,
    label.color = annotation_label.color,
    label.padding = annotation_label.padding,
    label.r = annotation_label.r,
    hjust = annotation_hjust,
    vjust = annotation_vjust,
    fontface = annotation_fontface
  ) +
  facet_wrap(~TYPE) +
  scale_x_continuous(labels = scales::comma) +
  scale_y_continuous(labels = scales::comma) +
  coord_cartesian(expand = c(0, 0)) +
  scale_color_manual(values = c(col_r, col_y, col_g, col_b)) +
  theme(legend.position = "none")
_Plan view of the site._

Plan view of the site.

Here we have a lateral view from the EW direction, showing the maximum depth reached from each test TYPE.

ggplot(data_loc) +
  geom_segment(aes(x = LOCA_NATE, y = -LOCA_WDEP, xend = LOCA_NATE, yend = -(LOCA_WDEP + LOCA_FDEP),
                   color = TYPE), size = 2, alpha = 1/4) +
  geom_hline(yintercept = 0, color = gray_2, size = 2, alpha = 1) + # sea level
  facet_wrap(~TYPE, ncol = 1) +
  scale_x_continuous(labels = scales::comma) +
  scale_y_continuous(labels = scales::comma) +
  coord_cartesian(expand = c(0, 0)) +
  scale_color_manual(values = c(col_r, col_y, col_g, col_b)) +
  theme(legend.position = "none") +
  labs(y = "Depth")
_Section view of the site from EW._

Section view of the site from EW.

There is basically one PCTP test for each location, while the number of SCPTs is smaller (normally), as the latest are performed only in a portion of all locations. Down-hole CPTUs, represented by BHs, complement the PCPT and SCPT tests, in depths where seabed CPTUs could not have been completed. TCPT tests are much shallower (up to 6m) and relevant to the design of subsea cables. We are not going to consider TCPTs in our analysis.

3.2 CPTU data

3.2.1 Read CPTU data

From the same set of AGS 4.0 files I have extracted the data recorded from the CPTU tests. Let’s read these data and preview the first 100 rows.

data_cpt <- 
  vroom("cpt.csv") %>%
  select(-c(SCPT_TEMP, FILE_FSET)) %>% # we don't need these
  mutate(across(is.character, as.factor))
data_cpt
## # A tibble: 240,550 x 15
##    LOCA_ID    SCPG_TESN SCPT_DPTH SCPT_RES SCPT_FRES SCPT_PWP2 SCPT_FRR SCPT_QT
##    <fct>      <fct>         <dbl>    <dbl>     <dbl>     <dbl>    <dbl>   <dbl>
##  1 HKN01-PCPT 1              0       0.003     NA         NA      NA      0.004
##  2 HKN01-PCPT 1              0.02    0.042     NA         NA      NA      0.042
##  3 HKN01-PCPT 1              0.04    0.08      NA         NA      NA      0.08 
##  4 HKN01-PCPT 1              0.06    0.118     NA         NA      NA      0.119
##  5 HKN01-PCPT 1              0.08    0.157      8.35       1.9    32.8    0.157
##  6 HKN01-PCPT 1              0.1     0.354      6.62       1.8     1.97   0.355
##  7 HKN01-PCPT 1              0.12    0.527      7.5        1.9     1.50   0.528
##  8 HKN01-PCPT 1              0.14    0.602      9.32       1.9     1.52   0.603
##  9 HKN01-PCPT 1              0.16    0.705     11.1        1.9     1.54   0.706
## 10 HKN01-PCPT 1              0.18    0.827     13.0        2.1     1.56   0.828
## # ... with 240,540 more rows, and 7 more variables: SCPT_QNET <dbl>,
## #   SCPT_BQ <dbl>, SCPT_CIC1 <dbl>, SCPT_CISB <dbl>, SCPT_NQC1 <dbl>,
## #   SCPT_NRF1 <dbl>, SCPT_CUW1 <dbl>
# table
func_tbl(head(data_cpt, 100))
LOCA_ID SCPG_TESN SCPT_DPTH SCPT_RES SCPT_FRES SCPT_PWP2 SCPT_FRR SCPT_QT SCPT_QNET SCPT_BQ SCPT_CIC1 SCPT_CISB SCPT_NQC1 SCPT_NRF1 SCPT_CUW1
HKN01-PCPT 1 0.00 0.003 NA NA NA 0.004 0.004 0.2436 NA NA NA 6.529 19.7
HKN01-PCPT 1 0.02 0.042 NA NA NA 0.042 0.042 0.1835 2.56 4.93 73.8 6.017 19.7
HKN01-PCPT 1 0.04 0.080 NA NA NA 0.080 0.080 0.1234 2.56 4.92 78.9 6.307 19.7
HKN01-PCPT 1 0.06 0.118 NA NA NA 0.119 0.117 0.0633 2.56 4.92 81.1 6.409 19.7
HKN01-PCPT 1 0.08 0.157 8.353 1.9 32.777 0.157 0.156 0.0034 2.51 4.27 78.8 5.364 19.7
HKN01-PCPT 1 0.10 0.354 6.625 1.8 1.969 0.355 0.353 0.0016 2.16 3.29 81.3 1.878 19.7
HKN01-PCPT 1 0.12 0.527 7.500 1.9 1.495 0.528 0.526 0.0011 2.06 3.08 87.4 1.427 19.7
HKN01-PCPT 1 0.14 0.602 9.325 1.9 1.518 0.603 0.600 0.0011 2.06 3.03 93.4 1.554 19.7
HKN01-PCPT 1 0.16 0.705 11.149 1.9 1.541 0.706 0.703 0.0003 2.05 2.98 98.5 1.587 19.7
HKN01-PCPT 1 0.18 0.827 12.973 2.1 1.565 0.828 0.824 0.0005 2.03 2.92 104.0 1.574 19.7
HKN01-PCPT 1 0.20 0.941 14.797 2.3 1.588 0.942 0.938 0.0003 2.02 2.87 108.6 1.577 19.7
HKN01-PCPT 1 0.22 0.933 8.161 2.6 0.876 0.934 0.930 0.0003 1.92 2.76 87.0 0.878 19.7
HKN01-PCPT 1 0.24 0.988 7.077 2.9 0.761 0.989 0.984 0.0004 1.89 2.71 83.2 0.719 19.7
HKN01-PCPT 1 0.26 1.043 9.129 3.2 0.982 1.044 1.039 0.0005 1.91 2.73 89.1 0.879 19.7
HKN01-PCPT 1 0.28 1.097 9.944 3.5 1.069 1.099 1.093 0.0005 1.92 2.73 90.2 0.910 19.7
HKN01-PCPT 1 0.30 1.152 16.997 3.8 1.828 1.154 1.148 0.0006 2.02 2.83 102.0 1.481 19.7
HKN01-PCPT 1 0.32 1.298 23.855 4.3 1.920 1.300 1.294 0.0008 2.05 2.79 115.3 1.844 19.7
HKN01-PCPT 1 0.34 1.435 25.418 4.7 1.801 1.437 1.431 0.0009 2.03 2.74 119.3 1.777 19.7
HKN01-PCPT 1 0.36 1.356 25.986 5.1 1.857 1.358 1.351 0.0011 2.06 2.77 115.5 1.924 19.7
HKN01-PCPT 1 0.38 1.454 25.135 4.5 1.785 1.456 1.448 0.0005 2.03 2.74 115.2 1.735 19.7
HKN01-PCPT 1 0.40 1.551 23.319 4.8 1.519 1.553 1.545 0.0004 1.99 2.68 112.1 1.509 19.7
HKN01-PCPT 1 0.42 1.413 20.760 5.2 1.447 1.415 1.407 0.0006 2.01 2.70 103.2 1.476 19.7
HKN01-PCPT 1 0.44 1.467 19.153 5.1 1.329 1.469 1.460 0.0004 1.99 2.67 99.5 1.312 19.7
HKN01-PCPT 1 0.46 1.565 18.569 5.3 1.213 1.567 1.558 0.0004 1.96 2.62 99.9 1.192 19.7
HKN01-PCPT 1 0.48 1.615 19.665 5.6 1.230 1.617 1.608 0.0004 1.96 2.61 101.0 1.223 19.7
HKN01-PCPT 1 0.50 1.709 21.744 5.5 1.302 1.711 1.702 0.0003 1.96 2.60 105.7 1.278 19.7
HKN01-PCPT 1 0.52 1.792 22.870 5.6 1.294 1.794 1.784 0.0003 1.96 2.59 107.6 1.282 19.7
HKN01-PCPT 1 0.54 1.867 22.894 6.2 1.242 1.869 1.859 0.0003 1.94 2.56 108.1 1.232 19.7
HKN01-PCPT 1 0.56 1.958 20.578 6.9 1.071 1.961 1.950 0.0005 1.91 2.51 105.1 1.056 19.7
HKN01-PCPT 1 0.58 2.040 22.219 7.3 1.099 2.043 2.032 0.0007 1.91 2.50 108.9 1.093 19.7
HKN01-PCPT 1 0.60 2.146 24.133 7.1 1.134 2.149 2.137 0.0005 1.91 2.49 112.1 1.129 19.7
HKN01-PCPT 1 0.62 2.298 17.562 7.2 0.771 2.301 2.289 0.0005 1.82 2.38 105.8 0.767 19.7
HKN01-PCPT 1 0.64 2.483 14.796 7.4 0.599 2.486 2.474 0.0004 1.76 2.30 105.1 0.598 19.7
HKN01-PCPT 1 0.66 2.664 14.194 7.7 0.535 2.667 2.654 0.0004 1.72 2.25 107.1 0.535 19.7
HKN01-PCPT 1 0.68 2.737 16.143 8.2 0.600 2.741 2.727 0.0004 1.74 2.26 110.2 0.592 19.7
HKN01-PCPT 1 0.70 2.737 18.848 8.1 0.690 2.741 2.727 0.0005 1.77 2.29 112.4 0.691 19.7
HKN01-PCPT 1 0.72 2.806 20.620 8.5 0.736 2.809 2.795 0.0004 1.78 2.30 114.7 0.738 19.7
HKN01-PCPT 1 0.74 3.020 20.948 8.6 0.696 3.023 3.009 0.0004 1.75 2.26 118.6 0.696 19.7
HKN01-PCPT 1 0.76 3.139 20.423 8.8 0.652 3.143 3.128 0.0003 1.74 2.23 119.3 0.653 19.7
HKN01-PCPT 1 0.78 3.258 21.256 9.1 0.654 3.262 3.246 0.0004 1.73 2.21 121.5 0.655 19.7
HKN01-PCPT 1 0.80 3.340 21.331 9.9 0.640 3.344 3.328 0.0004 1.72 2.20 122.2 0.641 19.7
HKN01-PCPT 1 0.82 3.501 21.883 9.7 0.631 3.505 3.489 0.0005 1.71 2.18 124.9 0.627 19.7
HKN01-PCPT 1 0.84 3.700 22.757 9.8 0.618 3.704 3.687 0.0003 1.69 2.15 128.7 0.617 19.7
HKN01-PCPT 1 0.86 3.790 23.351 10.1 0.617 3.794 3.777 0.0003 1.69 2.14 131.2 0.618 19.7
HKN01-PCPT 1 0.88 3.813 23.533 10.1 0.619 3.818 3.800 0.0004 1.69 2.14 130.7 0.619 19.7
HKN01-PCPT 1 0.90 3.934 25.382 10.6 0.648 3.938 3.920 0.0003 1.69 2.14 133.7 0.647 19.7
HKN01-PCPT 1 0.92 4.103 27.063 10.4 0.664 4.107 4.089 0.0002 1.69 2.13 137.4 0.662 19.7
HKN01-PCPT 1 0.94 4.278 28.748 10.5 0.676 4.283 4.264 0.0003 1.69 2.12 141.2 0.674 19.7
HKN01-PCPT 1 0.96 4.476 29.480 10.8 0.666 4.481 4.462 0.0003 1.67 2.10 144.5 0.661 19.7
HKN01-PCPT 1 0.98 4.715 31.386 10.7 0.673 4.720 4.700 0.0002 1.66 2.08 149.5 0.668 19.7
HKN01-PCPT 1 1.00 4.920 34.754 11.5 0.712 4.925 4.905 0.0003 1.67 2.08 154.9 0.709 19.7
HKN01-PCPT 1 1.02 5.202 37.137 11.3 0.728 5.207 5.187 0.0002 1.66 2.06 160.9 0.716 19.7
HKN01-PCPT 1 1.04 5.817 38.289 11.0 0.679 5.822 5.801 0.0001 1.61 2.00 171.6 0.660 19.7
HKN01-PCPT 1 1.06 6.515 39.136 10.8 0.621 6.520 6.499 0.0001 1.57 1.94 183.0 0.602 19.7
HKN01-PCPT 1 1.08 7.176 41.300 10.8 0.589 7.180 7.159 0.0000 1.54 1.89 194.4 0.577 19.7
HKN01-PCPT 1 1.10 7.862 44.539 10.7 0.583 7.866 7.844 0.0000 1.51 1.86 206.9 0.568 19.7
HKN01-PCPT 1 1.12 8.598 47.545 10.3 0.572 8.603 8.581 -0.0001 1.48 1.82 219.5 0.554 19.7
HKN01-PCPT 1 1.14 9.299 49.895 10.6 0.551 9.303 9.281 -0.0001 1.46 1.78 230.8 0.538 19.7
HKN01-PCPT 1 1.16 9.897 52.393 10.9 0.539 9.901 9.878 -0.0001 1.44 1.75 240.4 0.530 19.7
HKN01-PCPT 1 1.18 10.383 55.959 11.0 0.546 10.387 10.364 -0.0001 1.44 1.74 249.1 0.540 19.7
HKN01-PCPT 1 1.20 10.780 58.623 11.4 0.552 10.785 10.761 -0.0001 1.43 1.73 255.7 0.545 19.7
HKN01-PCPT 1 1.22 11.292 62.043 11.8 0.559 11.297 11.273 0.0000 1.42 1.72 264.4 0.550 19.7
HKN01-PCPT 1 1.24 11.782 65.786 11.8 0.566 11.787 11.762 -0.0001 1.42 1.70 272.9 0.559 19.7
HKN01-PCPT 1 1.26 12.103 69.963 11.9 0.583 12.108 12.083 0.0000 1.42 1.70 279.2 0.579 19.7
HKN01-PCPT 1 1.28 12.272 73.633 12.7 0.602 12.278 12.252 0.0000 1.43 1.70 282.9 0.601 19.7
HKN01-PCPT 1 1.30 12.353 74.923 13.0 0.607 12.358 12.332 0.0000 1.43 1.70 283.6 0.608 19.7
HKN01-PCPT 1 1.32 12.334 75.408 13.7 0.611 12.340 12.314 0.0000 1.43 1.71 282.3 0.612 19.7
HKN01-PCPT 1 1.34 12.337 74.820 14.2 0.606 12.343 12.317 0.0001 1.43 1.70 280.6 0.607 19.7
HKN01-PCPT 1 1.36 12.314 73.723 14.4 0.599 12.320 12.293 0.0001 1.43 1.70 278.2 0.600 19.7
HKN01-PCPT 1 1.38 12.318 70.393 14.6 0.571 12.324 12.297 0.0001 1.42 1.69 274.6 0.572 19.7
HKN01-PCPT 1 1.40 12.381 67.165 14.4 0.544 12.387 12.359 0.0000 1.41 1.68 271.9 0.543 19.7
HKN01-PCPT 1 1.42 12.519 65.149 14.6 0.521 12.525 12.498 0.0000 1.40 1.66 271.2 0.521 19.7
HKN01-PCPT 1 1.44 12.759 62.575 14.8 0.491 12.765 12.737 0.0000 1.38 1.64 271.4 0.491 19.7
HKN01-PCPT 1 1.46 13.176 61.168 14.6 0.465 13.182 13.153 0.0000 1.36 1.62 274.8 0.465 19.7
HKN01-PCPT 1 1.48 13.387 62.468 15.1 0.467 13.393 13.364 0.0000 1.36 1.61 277.4 0.467 19.7
HKN01-PCPT 1 1.50 13.595 62.525 15.1 0.460 13.601 13.571 0.0000 1.35 1.60 279.1 0.461 19.7
HKN01-PCPT 1 1.52 13.930 63.519 14.9 0.457 13.937 13.907 0.0000 1.35 1.59 283.2 0.457 19.7
HKN01-PCPT 1 1.54 14.203 66.689 15.1 0.473 14.209 14.178 0.0000 1.35 1.59 287.9 0.470 19.7
HKN01-PCPT 1 1.56 14.161 68.592 15.9 0.484 14.168 14.137 0.0000 1.36 1.60 287.6 0.485 19.7
HKN01-PCPT 1 1.58 13.991 72.540 16.6 0.518 13.998 13.967 0.0001 1.38 1.62 287.0 0.519 19.7
HKN01-PCPT 1 1.60 13.952 74.008 17.2 0.530 13.959 13.928 0.0000 1.39 1.63 286.3 0.531 19.7
HKN01-PCPT 1 1.62 14.017 73.772 17.0 0.527 14.024 13.992 0.0000 1.38 1.62 285.9 0.527 19.7
HKN01-PCPT 1 1.64 14.039 74.270 16.8 0.529 14.046 14.013 0.0000 1.39 1.62 285.5 0.530 19.7
HKN01-PCPT 1 1.66 14.028 73.398 17.4 0.523 14.036 14.003 0.0000 1.38 1.62 283.7 0.524 19.7
HKN01-PCPT 1 1.68 14.062 75.740 17.5 0.538 14.070 14.037 0.0000 1.39 1.63 284.6 0.540 19.7
HKN01-PCPT 1 1.70 14.200 77.041 17.7 0.544 14.207 14.174 0.0000 1.39 1.63 286.1 0.544 19.7
HKN01-PCPT 1 1.72 14.367 78.592 18.0 0.548 14.374 14.340 0.0000 1.39 1.63 288.2 0.548 19.7
HKN01-PCPT 1 1.74 14.492 82.171 18.4 0.568 14.500 14.466 0.0001 1.40 1.63 291.0 0.568 19.7
HKN01-PCPT 1 1.76 14.641 85.061 18.5 0.582 14.649 14.614 0.0001 1.41 1.63 291.7 0.582 19.7
HKN01-PCPT 1 1.78 14.891 88.163 18.7 0.595 14.899 14.864 0.0000 1.41 1.63 295.8 0.593 19.7
HKN01-PCPT 1 1.80 15.179 89.238 18.8 0.591 15.187 15.151 0.0000 1.40 1.63 299.2 0.589 19.7
HKN01-PCPT 1 1.82 15.485 90.397 18.6 0.587 15.493 15.457 0.0000 1.40 1.62 302.8 0.585 19.7
HKN01-PCPT 1 1.84 15.789 91.335 18.9 0.582 15.797 15.761 0.0000 1.39 1.61 306.3 0.580 19.7
HKN01-PCPT 1 1.86 15.922 93.060 19.1 0.587 15.930 15.893 0.0000 1.39 1.61 308.0 0.586 19.7
HKN01-PCPT 1 1.88 15.972 95.666 19.3 0.600 15.980 15.943 0.0000 1.40 1.61 309.1 0.600 19.7
HKN01-PCPT 1 1.90 16.010 97.585 19.4 0.610 16.018 15.980 0.0000 1.40 1.62 309.6 0.611 19.7
HKN01-PCPT 1 1.92 16.026 99.242 20.4 0.620 16.034 15.996 0.0001 1.41 1.62 309.7 0.620 19.7
HKN01-PCPT 1 1.94 15.981 99.195 20.8 0.619 15.990 15.952 0.0001 1.41 1.62 308.1 0.622 19.7
HKN01-PCPT 1 1.96 15.783 98.169 21.0 0.619 15.791 15.753 0.0001 1.42 1.62 304.0 0.623 19.7
HKN01-PCPT 1 1.98 15.486 94.687 21.2 0.607 15.494 15.455 0.0001 1.42 1.63 297.4 0.613 19.7


There are ~ 240k available data points here. We have the classic parameters we get from a CPTU test, with the addition of few derived parameters. More specifically:

  • SCPG_TESN: is the CPTU stroke or push;
  • SCPT_DPTH: is the depth of result;
  • SCPT_RES: is the cone resistance qc;
  • SCPT_FRES: is the local unit side friction resistance fs;
  • SCPT_PWP2: is the shoulder porewater pressure u2;
  • SCPT_FRR: is the friction ratio Rf;
  • SCPT_QT: is the corrected cone resistance qt;
  • SCPT_QNET: is the net cone resistance qn;
  • SCPT_BQ: is the pore pressure ratio Bq;
  • SCPT_CIC1: is the soil behaviour type index Ic;
  • SCPT_CISB: is the non-normalized soil behaviour type index ISBT;
  • SCPT_NQC1: is the normalised cone resistance Qt;
  • SCPT_NRF1: is the normalised friction ratio Fr;
  • SCPT_CUW1: is the unit weight.

3.2.2 Merge data

We merge the data_loc and data_cpt data, so everything is in one place and we can connect location to measured CPTU parameters. This makes it easier to explore and understand the data. We are also leaving out TCPT measurements.

data_join <- left_join(data_loc, data_cpt, by = "LOCA_ID") %>% filter(TYPE != "TCPT")

# table
func_tbl(head(data_join, 100))
LOCA_ID LOCA_NATE LOCA_NATN LOCA_FDEP LOCA_WDEP TYPE LOCATION LOCA_NR SCPG_TESN SCPT_DPTH SCPT_RES SCPT_FRES SCPT_PWP2 SCPT_FRR SCPT_QT SCPT_QNET SCPT_BQ SCPT_CIC1 SCPT_CISB SCPT_NQC1 SCPT_NRF1 SCPT_CUW1
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.00 0.003 NA NA NA 0.004 0.004 0.2436 NA NA NA 6.529 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.02 0.042 NA NA NA 0.042 0.042 0.1835 2.56 4.93 73.8 6.017 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.04 0.080 NA NA NA 0.080 0.080 0.1234 2.56 4.92 78.9 6.307 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.06 0.118 NA NA NA 0.119 0.117 0.0633 2.56 4.92 81.1 6.409 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.08 0.157 8.353 1.9 32.777 0.157 0.156 0.0034 2.51 4.27 78.8 5.364 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.10 0.354 6.625 1.8 1.969 0.355 0.353 0.0016 2.16 3.29 81.3 1.878 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.12 0.527 7.500 1.9 1.495 0.528 0.526 0.0011 2.06 3.08 87.4 1.427 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.14 0.602 9.325 1.9 1.518 0.603 0.600 0.0011 2.06 3.03 93.4 1.554 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.16 0.705 11.149 1.9 1.541 0.706 0.703 0.0003 2.05 2.98 98.5 1.587 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.18 0.827 12.973 2.1 1.565 0.828 0.824 0.0005 2.03 2.92 104.0 1.574 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.20 0.941 14.797 2.3 1.588 0.942 0.938 0.0003 2.02 2.87 108.6 1.577 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.22 0.933 8.161 2.6 0.876 0.934 0.930 0.0003 1.92 2.76 87.0 0.878 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.24 0.988 7.077 2.9 0.761 0.989 0.984 0.0004 1.89 2.71 83.2 0.719 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.26 1.043 9.129 3.2 0.982 1.044 1.039 0.0005 1.91 2.73 89.1 0.879 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.28 1.097 9.944 3.5 1.069 1.099 1.093 0.0005 1.92 2.73 90.2 0.910 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.30 1.152 16.997 3.8 1.828 1.154 1.148 0.0006 2.02 2.83 102.0 1.481 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.32 1.298 23.855 4.3 1.920 1.300 1.294 0.0008 2.05 2.79 115.3 1.844 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.34 1.435 25.418 4.7 1.801 1.437 1.431 0.0009 2.03 2.74 119.3 1.777 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.36 1.356 25.986 5.1 1.857 1.358 1.351 0.0011 2.06 2.77 115.5 1.924 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.38 1.454 25.135 4.5 1.785 1.456 1.448 0.0005 2.03 2.74 115.2 1.735 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.40 1.551 23.319 4.8 1.519 1.553 1.545 0.0004 1.99 2.68 112.1 1.509 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.42 1.413 20.760 5.2 1.447 1.415 1.407 0.0006 2.01 2.70 103.2 1.476 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.44 1.467 19.153 5.1 1.329 1.469 1.460 0.0004 1.99 2.67 99.5 1.312 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.46 1.565 18.569 5.3 1.213 1.567 1.558 0.0004 1.96 2.62 99.9 1.192 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.48 1.615 19.665 5.6 1.230 1.617 1.608 0.0004 1.96 2.61 101.0 1.223 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.50 1.709 21.744 5.5 1.302 1.711 1.702 0.0003 1.96 2.60 105.7 1.278 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.52 1.792 22.870 5.6 1.294 1.794 1.784 0.0003 1.96 2.59 107.6 1.282 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.54 1.867 22.894 6.2 1.242 1.869 1.859 0.0003 1.94 2.56 108.1 1.232 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.56 1.958 20.578 6.9 1.071 1.961 1.950 0.0005 1.91 2.51 105.1 1.056 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.58 2.040 22.219 7.3 1.099 2.043 2.032 0.0007 1.91 2.50 108.9 1.093 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.60 2.146 24.133 7.1 1.134 2.149 2.137 0.0005 1.91 2.49 112.1 1.129 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.62 2.298 17.562 7.2 0.771 2.301 2.289 0.0005 1.82 2.38 105.8 0.767 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.64 2.483 14.796 7.4 0.599 2.486 2.474 0.0004 1.76 2.30 105.1 0.598 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.66 2.664 14.194 7.7 0.535 2.667 2.654 0.0004 1.72 2.25 107.1 0.535 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.68 2.737 16.143 8.2 0.600 2.741 2.727 0.0004 1.74 2.26 110.2 0.592 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.70 2.737 18.848 8.1 0.690 2.741 2.727 0.0005 1.77 2.29 112.4 0.691 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.72 2.806 20.620 8.5 0.736 2.809 2.795 0.0004 1.78 2.30 114.7 0.738 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.74 3.020 20.948 8.6 0.696 3.023 3.009 0.0004 1.75 2.26 118.6 0.696 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.76 3.139 20.423 8.8 0.652 3.143 3.128 0.0003 1.74 2.23 119.3 0.653 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.78 3.258 21.256 9.1 0.654 3.262 3.246 0.0004 1.73 2.21 121.5 0.655 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.80 3.340 21.331 9.9 0.640 3.344 3.328 0.0004 1.72 2.20 122.2 0.641 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.82 3.501 21.883 9.7 0.631 3.505 3.489 0.0005 1.71 2.18 124.9 0.627 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.84 3.700 22.757 9.8 0.618 3.704 3.687 0.0003 1.69 2.15 128.7 0.617 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.86 3.790 23.351 10.1 0.617 3.794 3.777 0.0003 1.69 2.14 131.2 0.618 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.88 3.813 23.533 10.1 0.619 3.818 3.800 0.0004 1.69 2.14 130.7 0.619 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.90 3.934 25.382 10.6 0.648 3.938 3.920 0.0003 1.69 2.14 133.7 0.647 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.92 4.103 27.063 10.4 0.664 4.107 4.089 0.0002 1.69 2.13 137.4 0.662 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.94 4.278 28.748 10.5 0.676 4.283 4.264 0.0003 1.69 2.12 141.2 0.674 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.96 4.476 29.480 10.8 0.666 4.481 4.462 0.0003 1.67 2.10 144.5 0.661 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.98 4.715 31.386 10.7 0.673 4.720 4.700 0.0002 1.66 2.08 149.5 0.668 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.00 4.920 34.754 11.5 0.712 4.925 4.905 0.0003 1.67 2.08 154.9 0.709 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.02 5.202 37.137 11.3 0.728 5.207 5.187 0.0002 1.66 2.06 160.9 0.716 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.04 5.817 38.289 11.0 0.679 5.822 5.801 0.0001 1.61 2.00 171.6 0.660 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.06 6.515 39.136 10.8 0.621 6.520 6.499 0.0001 1.57 1.94 183.0 0.602 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.08 7.176 41.300 10.8 0.589 7.180 7.159 0.0000 1.54 1.89 194.4 0.577 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.10 7.862 44.539 10.7 0.583 7.866 7.844 0.0000 1.51 1.86 206.9 0.568 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.12 8.598 47.545 10.3 0.572 8.603 8.581 -0.0001 1.48 1.82 219.5 0.554 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.14 9.299 49.895 10.6 0.551 9.303 9.281 -0.0001 1.46 1.78 230.8 0.538 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.16 9.897 52.393 10.9 0.539 9.901 9.878 -0.0001 1.44 1.75 240.4 0.530 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.18 10.383 55.959 11.0 0.546 10.387 10.364 -0.0001 1.44 1.74 249.1 0.540 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.20 10.780 58.623 11.4 0.552 10.785 10.761 -0.0001 1.43 1.73 255.7 0.545 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.22 11.292 62.043 11.8 0.559 11.297 11.273 0.0000 1.42 1.72 264.4 0.550 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.24 11.782 65.786 11.8 0.566 11.787 11.762 -0.0001 1.42 1.70 272.9 0.559 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.26 12.103 69.963 11.9 0.583 12.108 12.083 0.0000 1.42 1.70 279.2 0.579 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.28 12.272 73.633 12.7 0.602 12.278 12.252 0.0000 1.43 1.70 282.9 0.601 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.30 12.353 74.923 13.0 0.607 12.358 12.332 0.0000 1.43 1.70 283.6 0.608 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.32 12.334 75.408 13.7 0.611 12.340 12.314 0.0000 1.43 1.71 282.3 0.612 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.34 12.337 74.820 14.2 0.606 12.343 12.317 0.0001 1.43 1.70 280.6 0.607 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.36 12.314 73.723 14.4 0.599 12.320 12.293 0.0001 1.43 1.70 278.2 0.600 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.38 12.318 70.393 14.6 0.571 12.324 12.297 0.0001 1.42 1.69 274.6 0.572 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.40 12.381 67.165 14.4 0.544 12.387 12.359 0.0000 1.41 1.68 271.9 0.543 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.42 12.519 65.149 14.6 0.521 12.525 12.498 0.0000 1.40 1.66 271.2 0.521 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.44 12.759 62.575 14.8 0.491 12.765 12.737 0.0000 1.38 1.64 271.4 0.491 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.46 13.176 61.168 14.6 0.465 13.182 13.153 0.0000 1.36 1.62 274.8 0.465 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.48 13.387 62.468 15.1 0.467 13.393 13.364 0.0000 1.36 1.61 277.4 0.467 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.50 13.595 62.525 15.1 0.460 13.601 13.571 0.0000 1.35 1.60 279.1 0.461 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.52 13.930 63.519 14.9 0.457 13.937 13.907 0.0000 1.35 1.59 283.2 0.457 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.54 14.203 66.689 15.1 0.473 14.209 14.178 0.0000 1.35 1.59 287.9 0.470 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.56 14.161 68.592 15.9 0.484 14.168 14.137 0.0000 1.36 1.60 287.6 0.485 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.58 13.991 72.540 16.6 0.518 13.998 13.967 0.0001 1.38 1.62 287.0 0.519 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.60 13.952 74.008 17.2 0.530 13.959 13.928 0.0000 1.39 1.63 286.3 0.531 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.62 14.017 73.772 17.0 0.527 14.024 13.992 0.0000 1.38 1.62 285.9 0.527 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.64 14.039 74.270 16.8 0.529 14.046 14.013 0.0000 1.39 1.62 285.5 0.530 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.66 14.028 73.398 17.4 0.523 14.036 14.003 0.0000 1.38 1.62 283.7 0.524 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.68 14.062 75.740 17.5 0.538 14.070 14.037 0.0000 1.39 1.63 284.6 0.540 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.70 14.200 77.041 17.7 0.544 14.207 14.174 0.0000 1.39 1.63 286.1 0.544 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.72 14.367 78.592 18.0 0.548 14.374 14.340 0.0000 1.39 1.63 288.2 0.548 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.74 14.492 82.171 18.4 0.568 14.500 14.466 0.0001 1.40 1.63 291.0 0.568 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.76 14.641 85.061 18.5 0.582 14.649 14.614 0.0001 1.41 1.63 291.7 0.582 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.78 14.891 88.163 18.7 0.595 14.899 14.864 0.0000 1.41 1.63 295.8 0.593 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.80 15.179 89.238 18.8 0.591 15.187 15.151 0.0000 1.40 1.63 299.2 0.589 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.82 15.485 90.397 18.6 0.587 15.493 15.457 0.0000 1.40 1.62 302.8 0.585 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.84 15.789 91.335 18.9 0.582 15.797 15.761 0.0000 1.39 1.61 306.3 0.580 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.86 15.922 93.060 19.1 0.587 15.930 15.893 0.0000 1.39 1.61 308.0 0.586 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.88 15.972 95.666 19.3 0.600 15.980 15.943 0.0000 1.40 1.61 309.1 0.600 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.90 16.010 97.585 19.4 0.610 16.018 15.980 0.0000 1.40 1.62 309.6 0.611 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.92 16.026 99.242 20.4 0.620 16.034 15.996 0.0001 1.41 1.62 309.7 0.620 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.94 15.981 99.195 20.8 0.619 15.990 15.952 0.0001 1.41 1.62 308.1 0.622 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.96 15.783 98.169 21.0 0.619 15.791 15.753 0.0001 1.42 1.62 304.0 0.623 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.98 15.486 94.687 21.2 0.607 15.494 15.455 0.0001 1.42 1.63 297.4 0.613 19.7

3.2.3 Explore CPTUs

Here we plot some basic CPTU parameters, so we get some idea of the ground properties. Move through the tabs to see plots of qc, fs and u2, shown separated for each test type.

qc

ggplot(data_join, aes(SCPT_RES, SCPT_DPTH)) +
  geom_point(alpha = 0.05, size = 1) +
  scale_y_reverse() +
  facet_wrap(~TYPE) +
  coord_cartesian(expand = c(0, 0), ylim = c(80, 0)) +
  labs(x = "qc (MPa)")
_Plot of `qc` vs depth._

Plot of qc vs depth.

fs

ggplot(data_join, aes(SCPT_FRES, SCPT_DPTH)) +
  geom_point(alpha = 0.05, size = 1) +
  scale_y_reverse() +
  facet_wrap(~TYPE) +
  coord_cartesian(expand = c(0, 0), ylim = c(80, 0)) +
  labs(x = "fs (kPa)")
_Plot of `fs` vs depth._

Plot of fs vs depth.

u2

ggplot(data_join, aes(SCPT_PWP2, SCPT_DPTH)) +
  geom_point(alpha = 0.05, size = 1) +
  scale_y_reverse() +
  facet_wrap(~TYPE) +
  coord_cartesian(expand = c(0, 0), ylim = c(80, 0)) +
  labs(x = "u2 (kPa)")
_Plot of `u2` vs depth._

Plot of u2 vs depth.

We need to filter out the fake measurements from down-hole CPTU strokes. These are mostly the points on the left side of the BH plot. For simplicity, I am going to use the filtering implemented in the provided dataset. For this, we need to just remove the rows where Qt values are missing. If you’d like to implement your own criteria for filtering down-hole CPTs, I have created a small up for this purpose, which you may try the DEMO. We are left with ~ 227k measurements.

data_join <- data_join %>% filter(!is.na(SCPT_NQC1))

3.2.4 Filtered plots

After removing the fake measurements and re-plotting, things look much better.

qc

ggplot(data_join, aes(SCPT_RES, SCPT_DPTH)) +
  geom_point(alpha = 0.05, size = 1) +
  scale_y_reverse() +
  facet_wrap(~TYPE) +
  coord_cartesian(expand = c(0, 0), ylim = c(80, 0)) +
  labs(x = "qc (MPa)")
_Plot of `qc` vs depth._

Plot of qc vs depth.

fs

ggplot(data_join, aes(SCPT_FRES, SCPT_DPTH)) +
  geom_point(alpha = 0.05, size = 1) +
  scale_y_reverse() +
  facet_wrap(~TYPE) +
  coord_cartesian(expand = c(0, 0), ylim = c(80, 0)) +
  labs(x = "fs (kPa)")
_Plot of `fs` vs depth._

Plot of fs vs depth.

u2

ggplot(data_join, aes(SCPT_PWP2, SCPT_DPTH)) +
  geom_point(alpha = 0.05, size = 1) +
  scale_y_reverse() +
  facet_wrap(~TYPE) +
  coord_cartesian(expand = c(0, 0), ylim = c(80, 0)) +
  labs(x = "u2 (kPa)")
_Plot of `u2` vs depth._

Plot of u2 vs depth.

3.2.5 Additional parameters

For reference, we also plot other derived CPTU parameters vs depth:

Fr

ggplot(data_join, aes(SCPT_FRR, SCPT_DPTH)) +
  geom_point(alpha = 0.05, size = 1) +
  scale_y_reverse() +
  facet_wrap(~TYPE) +
  coord_cartesian(expand = c(0, 0), xlim = c(0, 10), ylim = c(80, 0)) +
  labs(x = "Fr (%)")
_Plot of `Fr` vs depth._

Plot of Fr vs depth.

Ic

ggplot(data_join, aes(SCPT_CIC1, SCPT_DPTH)) +
  geom_point(alpha = 0.05, size = 1) +
  scale_y_reverse() +
  facet_wrap(~TYPE) +
  coord_cartesian(expand = c(0, 0), xlim = c(1, 4), ylim = c(80, 0)) +
  labs(x = "Ic (-)")
_Plot of `Ic` vs depth._

Plot of Ic vs depth.

Qn

ggplot(data_join, aes(SCPT_NQC1, SCPT_DPTH)) +
  geom_point(alpha = 0.05, size = 1) +
  scale_y_reverse() +
  facet_wrap(~TYPE) +
  coord_cartesian(expand = c(0, 0), xlim = c(1, 1000), ylim = c(80, 0)) +
  scale_x_log10(breaks = c(1, 10, 100, 1000)) +
  labs(x = "Qtn (-)")
_Plot of `Qn` vs depth._

Plot of Qn vs depth.

Unit weight

ggplot(data_join, aes(SCPT_CUW1, SCPT_DPTH)) +
  geom_point(alpha = 0.05, size = 1) +
  scale_y_reverse() +
  facet_wrap(~TYPE) +
  coord_cartesian(expand = c(0, 0), xlim = c(16, 24), ylim = c(80, 0)) +
  labs(x = "Unit weight (kN/m3)")
_Plot of `unit weight` vs depth._

Plot of unit weight vs depth.

It looks like something is wrong with some of the normalised parameters and for the unit weight, as they show the same profile over and over for the PCPT and SCPT type of tests. I have no idea why this happens but probably, the data are overwritten somehow. 🤷 We need to correct these parameters.

The following code leaves out the “wrong” data and recalculates them. For the correlation of the unit weight (UW), we use the relationship given by Lengkeek et al., while for the other parameters (U0, SV0, SV0P, Qtn, Fr, Ic) we use the classical formulas.

data_corr <- 
  data_join %>%
  select(-c(SCPT_CIC1:SCPT_CUW1)) %>%
  mutate(
    # unit weight (Lengkeek et al.) (kN/m3)
    UW = 19 - 4.12 * (log10(5 / SCPT_QT) / log10(30 / SCPT_FRR)),
    # porewater pressure (kPa)
    U0 = 9.81 * SCPT_DPTH,
    # total in-situ vertical stress (kPa)
    SV0 = UW * SCPT_DPTH,
    # effective in-situ vertical stress (kPa)
    SV0P = SV0 - SCPT_DPTH * 9.81,
    # normalised cone resistance (-)
    QT1 = ((SCPT_QT - SV0 * 0.001) / (101 * 0.001)) * (101 / SV0P),
    # normalised friction ratio (%)
    Fr = (SCPT_FRES / (SCPT_QT - SV0 * 0.001) * 0.001) * 100,
    # soil behaviour type index Ic (-)
    IC1 = ((3.47 - log10(QT1))^2 + (log10(Fr) + 1.22)^2)^0.5,
    n1 = 0.381 * IC1 + 0.05 * (SV0P / 101) - 0.15,
    n = case_when(
      n1 > 1 ~ 1,
      n1 <= 1 ~ n1
    ),
    Qtn = ((SCPT_QT - SV0 * 0.001) / (101 * 0.001)) * (101 / SV0P)^n,
    Ic = ((3.47 - log10(Qtn))^2 + (log10(Fr) + 1.22)^2)^0.5
  ) %>%
  select(-c(SCPT_FRR, QT1, IC1, n1)) %>%
  mutate(round(across(UW:Ic), digits = 4))

# table
func_tbl(head(data_corr, 100))
LOCA_ID LOCA_NATE LOCA_NATN LOCA_FDEP LOCA_WDEP TYPE LOCATION LOCA_NR SCPG_TESN SCPT_DPTH SCPT_RES SCPT_FRES SCPT_PWP2 SCPT_QT SCPT_QNET SCPT_BQ UW U0 SV0 SV0P Fr n Qtn Ic
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.02 0.042 NA NA 0.042 0.042 0.1835 NA 0.1962 NA NA NA NA NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.04 0.080 NA NA 0.080 0.080 0.1234 NA 0.3924 NA NA NA NA NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.06 0.118 NA NA 0.119 0.117 0.0633 NA 0.5886 NA NA NA NA NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.08 0.157 8.353 1.9 0.157 0.156 0.0034 180.0658 0.7848 14.4053 13.6205 5.8579 1.0000 10.4692 3.1550
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.10 0.354 6.625 1.8 0.355 0.353 0.0016 14.9989 0.9810 1.4999 0.5189 1.8741 0.4686 41.3779 2.3797
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.12 0.527 7.500 1.9 0.528 0.526 0.0011 15.9117 1.1772 1.9094 0.7322 1.4256 0.4237 42.0036 2.3018
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.14 0.602 9.325 1.9 0.603 0.600 0.0011 16.0793 1.3734 2.2511 0.8777 1.5522 0.4399 47.9699 2.2785
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.16 0.705 11.149 1.9 0.706 0.703 0.0003 16.2833 1.5696 2.6053 1.0357 1.5850 0.4437 53.1292 2.2495
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.18 0.827 12.973 2.1 0.828 0.824 0.0005 16.4915 1.7658 2.9685 1.2027 1.5724 0.4418 57.8550 2.2187
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.20 0.941 14.797 2.3 0.942 0.938 0.0003 16.6598 1.9620 3.3320 1.3700 1.5764 0.4424 62.2881 2.1949
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.22 0.933 8.161 2.6 0.934 0.930 0.0003 17.0439 2.1582 3.7496 1.5914 0.8773 0.3686 42.5361 2.1779
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.24 0.988 7.077 2.9 0.989 0.984 0.0004 17.1829 2.3544 4.1239 1.7695 0.7186 0.3452 39.3975 2.1616
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.26 1.043 9.129 3.2 1.044 1.039 0.0005 17.1127 2.5506 4.4493 1.8987 0.8782 0.3746 45.6095 2.1525
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.28 1.097 9.944 3.5 1.099 1.093 0.0005 17.1281 2.7468 4.7959 2.0491 0.9088 0.3817 47.9608 2.1424
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.30 1.152 16.997 3.8 1.154 1.148 0.0006 16.8410 2.9430 5.0523 2.1093 1.4794 0.4499 64.8555 2.1637
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.32 1.298 23.855 4.3 1.300 1.294 0.0008 16.9810 3.1392 5.4339 2.2947 1.8427 0.4798 78.7888 2.1639
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.34 1.435 25.418 4.7 1.437 1.431 0.0009 17.1737 3.3354 5.8391 2.5037 1.7760 0.4735 81.6017 2.1419
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.36 1.356 25.986 5.1 1.358 1.351 0.0011 17.0699 3.5316 6.1451 2.6135 1.9222 0.4926 80.9929 2.1679
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.38 1.454 25.135 4.5 1.456 1.448 0.0005 17.1986 3.7278 6.5355 2.8077 1.7341 0.4777 79.4608 2.1432
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.40 1.551 23.319 4.8 1.553 1.545 0.0004 17.3852 3.9240 6.9541 3.0301 1.5083 0.4583 76.3612 2.1154
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.42 1.413 20.760 5.2 1.415 1.407 0.0006 17.2846 4.1202 7.2595 3.1393 1.4747 0.4657 70.1785 2.1366
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.44 1.467 19.153 5.1 1.469 1.460 0.0004 17.3809 4.3164 7.6476 3.3312 1.3106 0.4509 67.3920 2.1173
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.46 1.565 18.569 5.3 1.567 1.558 0.0004 17.5099 4.5126 8.0546 3.5420 1.1911 0.4374 66.8199 2.0942
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.48 1.615 19.665 5.6 1.617 1.608 0.0004 17.5439 4.7088 8.4211 3.7123 1.2225 0.4425 68.6936 2.0919
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.50 1.709 21.744 5.5 1.711 1.702 0.0003 17.5917 4.9050 8.7959 3.8909 1.2774 0.4479 72.4564 2.0859
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.52 1.792 22.870 5.6 1.794 1.784 0.0003 17.6566 5.1012 9.1814 4.0802 1.2814 0.4484 74.5021 2.0774
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.54 1.867 22.894 6.2 1.869 1.859 0.0003 17.7269 5.2974 9.5725 4.2751 1.2312 0.4434 74.8199 2.0650
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.56 1.958 20.578 6.9 1.961 1.950 0.0005 17.8429 5.4936 9.9920 4.4984 1.0547 0.4223 71.8799 2.0368
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.58 2.040 22.219 7.3 2.043 2.032 0.0007 17.8849 5.6898 10.3732 4.6834 1.0931 0.4273 74.7514 2.0329
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.60 2.146 24.133 7.1 2.149 2.137 0.0005 17.9378 5.8860 10.7627 4.8767 1.1286 0.4309 78.1345 2.0265
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.62 2.298 17.562 7.2 2.301 2.289 0.0005 18.1267 6.0822 11.2385 5.1563 0.7670 0.3773 69.6579 1.9667
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.64 2.483 14.796 7.4 2.486 2.474 0.0004 18.2644 6.2784 11.6892 5.4108 0.5980 0.3420 66.6476 1.9244
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.66 2.664 14.194 7.7 2.667 2.654 0.0004 18.3570 6.4746 12.1156 5.6410 0.5346 0.3248 67.0867 1.8972
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.68 2.737 16.143 8.2 2.741 2.727 0.0004 18.3669 6.6708 12.4895 5.8187 0.5916 0.3382 70.9207 1.8990
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.70 2.737 18.848 8.1 2.741 2.727 0.0005 18.3435 6.8670 12.8404 5.9734 0.6909 0.3611 74.9984 1.9147
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.72 2.806 20.620 8.5 2.809 2.795 0.0004 18.3593 7.0632 13.2187 6.1555 0.7375 0.3704 78.0265 1.9164
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.74 3.020 20.948 8.6 3.023 3.009 0.0004 18.4492 7.2594 13.6524 6.3930 0.6961 0.3593 80.3213 1.8918
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.76 3.139 20.423 8.8 3.143 3.128 0.0003 18.5004 7.4556 14.0603 6.6047 0.6527 0.3503 80.5363 1.8753
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.78 3.258 21.256 9.1 3.262 3.246 0.0004 18.5401 7.6518 14.4613 6.8095 0.6545 0.3501 82.6540 1.8666
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.80 3.340 21.331 9.9 3.344 3.328 0.0004 18.5692 7.8480 14.8554 7.0074 0.6407 0.3478 83.3699 1.8583
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.82 3.501 21.883 9.7 3.505 3.489 0.0005 18.6210 8.0442 15.2692 7.2250 0.6271 0.3434 85.4720 1.8442
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.84 3.700 22.757 9.8 3.704 3.687 0.0003 18.6816 8.2404 15.6926 7.4522 0.6170 0.3389 88.3448 1.8283
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.86 3.790 23.351 10.1 3.794 3.777 0.0003 18.7072 8.4366 16.0882 7.6516 0.6181 0.3395 89.8173 1.8228
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.88 3.813 23.533 10.1 3.818 3.800 0.0004 18.7137 8.6328 16.4680 7.8352 0.6190 0.3416 90.1272 1.8219
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.90 3.934 25.382 10.6 3.938 3.920 0.0003 18.7435 8.8290 16.8691 8.0401 0.6473 0.3470 93.4255 1.8198
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.92 4.103 27.063 10.4 4.107 4.089 0.0002 18.7873 9.0252 17.2843 8.2591 0.6617 0.3485 96.9034 1.8123
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.94 4.278 28.748 10.5 4.283 4.264 0.0003 18.8319 9.2214 17.7019 8.4805 0.6740 0.3495 100.3898 1.8043
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.96 4.476 29.480 10.8 4.481 4.462 0.0003 18.8814 9.4176 18.1262 8.7086 0.6606 0.3451 102.9522 1.7903
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.98 4.715 31.386 10.7 4.720 4.700 0.0002 18.9375 9.6138 18.5587 8.9449 0.6676 0.3442 107.2181 1.7787
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.00 4.920 34.754 11.5 4.925 4.905 0.0003 18.9834 9.8100 18.9834 9.1734 0.7084 0.3507 112.6543 1.7768
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.02 5.202 37.137 11.3 5.207 5.187 0.0002 19.0449 10.0062 19.4258 9.4196 0.7159 0.3495 117.6865 1.7644
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.04 5.817 38.289 11.0 5.822 5.801 0.0001 19.1655 10.2024 19.9322 9.7298 0.6599 0.3311 124.6693 1.7231
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.06 6.515 39.136 10.8 6.520 6.499 0.0001 19.2820 10.3986 20.4389 10.0403 0.6021 0.3111 131.9771 1.6794
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.08 7.176 41.300 10.8 7.180 7.159 0.0000 19.3793 10.5948 20.9296 10.3348 0.5769 0.2992 140.2098 1.6473
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.10 7.862 44.539 10.7 7.866 7.844 0.0000 19.4737 10.7910 21.4211 10.6301 0.5678 0.2916 149.7395 1.6202
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.12 8.598 47.545 10.3 8.603 8.581 -0.0001 19.5646 10.9872 21.9124 10.9252 0.5541 0.2829 159.3944 1.5922
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.14 9.299 49.895 10.6 9.303 9.281 -0.0001 19.6400 11.1834 22.3896 11.2062 0.5376 0.2743 167.9473 1.5662
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.16 9.897 52.393 10.9 9.901 9.878 -0.0001 19.7003 11.3796 22.8524 11.4728 0.5304 0.2693 175.6852 1.5471
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.18 10.383 55.959 11.0 10.387 10.364 -0.0001 19.7519 11.5758 23.3072 11.7314 0.5400 0.2699 183.4690 1.5370
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.20 10.780 58.623 11.4 10.785 10.761 -0.0001 19.7927 11.7720 23.7512 11.9792 0.5448 0.2700 189.4694 1.5285
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.22 11.292 62.043 11.8 11.297 11.273 0.0000 19.8432 11.9682 24.2087 12.2405 0.5504 0.2697 197.1945 1.5178
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.24 11.782 65.786 11.8 11.787 11.762 -0.0001 19.8899 12.1644 24.6635 12.4991 0.5593 0.2705 204.9601 1.5093
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.26 12.103 69.963 11.9 12.108 12.083 0.0000 19.9247 12.3606 25.1051 12.7445 0.5790 0.2752 211.4802 1.5087
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.28 12.272 73.633 12.7 12.278 12.252 0.0000 19.9469 12.5568 25.5321 12.9753 0.6010 0.2811 215.9985 1.5123
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.30 12.353 74.923 13.0 12.358 12.332 0.0000 19.9558 12.7530 25.9425 13.1895 0.6075 0.2836 217.4845 1.5132
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.32 12.334 75.408 13.7 12.340 12.314 0.0000 19.9559 12.9492 26.3418 13.3926 0.6124 0.2861 217.3240 1.5158
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.34 12.337 74.820 14.2 12.343 12.317 0.0001 19.9541 13.1454 26.7385 13.5931 0.6075 0.2861 216.4514 1.5148
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.36 12.314 73.723 14.4 12.320 12.293 0.0001 19.9493 13.3416 27.1311 13.7895 0.5997 0.2855 214.9147 1.5134
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.38 12.318 70.393 14.6 12.324 12.297 0.0001 19.9382 13.5378 27.5147 13.9769 0.5725 0.2799 211.7553 1.5050
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.40 12.381 67.165 14.4 12.387 12.359 0.0000 19.9321 13.7340 27.9049 14.1709 0.5434 0.2731 209.2141 1.4945
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.42 12.519 65.149 14.6 12.525 12.498 0.0000 19.9334 13.9302 28.3055 14.3753 0.5213 0.2675 208.4161 1.4843
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.44 12.759 62.575 14.8 12.765 12.737 0.0000 19.9390 14.1264 28.7121 14.5857 0.4913 0.2587 208.0253 1.4688
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.46 13.176 61.168 14.6 13.182 13.153 0.0000 19.9585 14.3226 29.1394 14.8168 0.4651 0.2496 210.2499 1.4505
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.48 13.387 62.468 15.1 13.393 13.364 0.0000 19.9752 14.5188 29.5633 15.0445 0.4675 0.2504 213.1266 1.4472
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.50 13.595 62.525 15.1 13.601 13.571 0.0000 19.9869 14.7150 29.9803 15.2653 0.4607 0.2483 214.8235 1.4406
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.52 13.930 63.519 14.9 13.937 13.907 0.0000 20.0094 14.9112 30.4142 15.5030 0.4568 0.2465 218.5252 1.4324
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.54 14.203 66.689 15.1 14.209 14.178 0.0000 20.0369 15.1074 30.8569 15.7495 0.4704 0.2505 223.5931 1.4325
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.56 14.161 68.592 15.9 14.168 14.137 0.0000 20.0398 15.3036 31.2621 15.9585 0.4852 0.2564 224.6319 1.4394
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.58 13.991 72.540 16.6 13.998 13.967 0.0001 20.0450 15.4998 31.6710 16.1712 0.5194 0.2683 226.0740 1.4560
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.60 13.952 74.008 17.2 13.959 13.928 0.0000 20.0480 15.6960 32.0769 16.3809 0.5314 0.2730 226.5779 1.4617
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.62 14.017 73.772 17.0 14.024 13.992 0.0000 20.0513 15.8922 32.4831 16.5909 0.5273 0.2727 226.6953 1.4593
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.64 14.039 74.270 16.8 14.046 14.013 0.0000 20.0539 16.0884 32.8884 16.8000 0.5300 0.2744 226.9853 1.4604
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.66 14.028 73.398 17.4 14.036 14.003 0.0000 20.0502 16.2846 33.2833 16.9987 0.5242 0.2740 225.9102 1.4588
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.68 14.062 75.740 17.5 14.070 14.037 0.0000 20.0601 16.4808 33.7009 17.2201 0.5396 0.2791 227.7086 1.4644
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.70 14.200 77.041 17.7 14.207 14.174 0.0000 20.0729 16.6770 34.1240 17.4470 0.5436 0.2806 229.6682 1.4636
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.72 14.367 78.592 18.0 14.374 14.340 0.0000 20.0869 16.8732 34.5495 17.6763 0.5481 0.2820 232.0857 1.4625
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.74 14.492 82.171 18.4 14.500 14.466 0.0001 20.1058 17.0694 34.9841 17.9147 0.5681 0.2876 235.5175 1.4680
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.76 14.641 85.061 18.5 14.649 14.614 0.0001 20.1233 17.2656 35.4171 18.1515 0.5821 0.2915 238.6111 1.4708
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.78 14.891 88.163 18.7 14.899 14.864 0.0000 20.1474 17.4618 35.8625 18.4007 0.5932 0.2940 242.7829 1.4708
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.80 15.179 89.238 18.8 15.187 15.151 0.0000 20.1656 17.6580 36.2980 18.6400 0.5890 0.2926 245.9571 1.4645
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.82 15.485 90.397 18.6 15.493 15.457 0.0000 20.1844 17.8542 36.7357 18.8815 0.5849 0.2911 249.3566 1.4581
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.84 15.789 91.335 18.9 15.797 15.761 0.0000 20.2022 18.0504 37.1720 19.1216 0.5795 0.2894 252.5834 1.4513
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.86 15.922 93.060 19.1 15.930 15.893 0.0000 20.2136 18.2466 37.5972 19.3506 0.5856 0.2913 254.6259 1.4518
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.88 15.972 95.666 19.3 15.980 15.943 0.0000 20.2237 18.4428 38.0205 19.5777 0.6001 0.2956 256.3731 1.4569
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.90 16.010 97.585 19.4 16.018 15.980 0.0000 20.2314 18.6390 38.4396 19.8006 0.6107 0.2990 257.5260 1.4607
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.92 16.026 99.242 20.4 16.034 15.996 0.0001 20.2376 18.8352 38.8562 20.0210 0.6205 0.3022 258.2658 1.4645
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.94 15.981 99.195 20.8 15.990 15.952 0.0001 20.2342 19.0314 39.2543 20.2229 0.6219 0.3037 257.3780 1.4663
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.96 15.783 98.169 21.0 15.791 15.753 0.0001 20.2209 19.2276 39.6329 20.4053 0.6232 0.3058 254.3497 1.4707
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.98 15.486 94.687 21.2 15.494 15.455 0.0001 20.1947 19.4238 39.9855 20.5617 0.6127 0.3057 248.9104 1.4724
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 2.00 15.054 91.106 21.9 15.063 15.024 0.0001 20.1604 19.6200 40.3209 20.7009 0.6065 0.3073 242.0752 1.4782

3.2.6 Plots of corrected parameters

Below some plots of these new and corrected parameters.

Fr

ggplot(data_corr, aes(Fr, SCPT_DPTH)) +
  geom_point(alpha = 0.05, size = 1) +
  scale_y_reverse() +
  facet_wrap(~TYPE) +
  coord_cartesian(expand = c(0, 0), xlim = c(0, 10), ylim = c(80, 0)) +
  labs(x = "Fr (%)")
_Plot of `Fr` vs depth._

Plot of Fr vs depth.

Ic

ggplot(data_corr, aes(Ic, SCPT_DPTH)) +
  geom_point(alpha = 0.05, size = 1) +
  scale_y_reverse() +
  facet_wrap(~TYPE) +
  coord_cartesian(expand = c(0, 0), xlim = c(1, 4), ylim = c(80, 0)) +
  labs(x = "Ic (-)")
_Plot of `Ic` vs depth._

Plot of Ic vs depth.

Qtn

ggplot(data_corr, aes(Qtn, SCPT_DPTH)) +
  geom_point(alpha = 0.05, size = 1) +
  scale_y_reverse() +
  facet_wrap(~TYPE) +
  coord_cartesian(expand = c(0, 0), xlim = c(1, 1000), ylim = c(80, 0)) +
  scale_x_log10(breaks = c(1, 10, 100, 1000)) +
  labs(x = "Qtn (-)")
_Plot of `Qtn` vs depth._

Plot of Qtn vs depth.

Unit weight

ggplot(data_corr, aes(UW, SCPT_DPTH)) +
  geom_point(alpha = 0.05, size = 1) +
  scale_y_reverse() +
  facet_wrap(~TYPE) +
  coord_cartesian(expand = c(0, 0), xlim = c(16, 24), ylim = c(80, 0)) +
  labs(x = "Unit weight (kN/m3)")
_Plot of `unit weight` vs depth._

Plot of unit weight vs depth.

3.3 SCPT measurements

Measurements of share wave velocity Vs and shear modulus at small strain Gmax are obtained from seismic CPTU tests, performed both in seabed (SCPT) and down-hole CPTU tests (BH). Vs is derived from dual array geophones while Gmax is derived from Vs, using well-known theoretical relationships. SCPT measurements are provided in separated XLSX files, one file for each test point (see the following image).

The list of these XLSX files is as follows:

list_XLSX <- list.files(pattern = ".xlsx")

# table
func_tbl(as_tibble_col(list_XLSX, column_name = "XLSX file name"))
XLSX file name
HKN_20190221_FNLM_HKN02-SCPT-A_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN06-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN10-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN14-SCPT-A_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN14-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN21-SCPT-A_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN21-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN25-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN26-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN27-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN31-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN36-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN38-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN41-SCPT-D_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN47-SCPT-A_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN47-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN48-SCPT-A_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN48-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN56-SCPT-A_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN56-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN58-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN65-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN67-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN70-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN72-SCPT-A_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN72-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN75-SCPT-A_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN75-SCPT_XLSX_V04_F.xlsx
HKN_20190306_FNLM_HKN02-BH-SA_XLSX_V05_F.xlsx
HKN_20190306_FNLM_HKN28-BH-SC_XLSX_V05_F.xlsx
HKN_20190306_FNLM_HKN33-BH-SA_XLSX_V05_F.xlsx
HKN_20190306_FNLM_HKN39-BH-SA_XLSX_V05_F.xlsx
HKN_20190306_FNLM_HKN47-BH-SA_XLSX_V05_F.xlsx
HKN_20190306_FNLM_HKN47A-BH-SA_XLSX_V05_F.xlsx
HKN_20190306_FNLM_HKN48A-BH-SA_XLSX_V05_F.xlsx
HKN_20190306_FNLM_HKN67-BH-SA_XLSX_V05_F.xlsx
HKN_20190306_FNLM_HKN70-BH-SA_XLSX_V05_F.xlsx
HKN_20190306_FNLM_HKN75-BH-SA_XLSX_V05_F.xlsx


The following code reads the listed XLSX files, cleans the data a little bit and then merges them together into one data frame that includes all seismic measurements. Seismic measurements involve a vertical depth of 0.5m, i.e. the difference between FROM and TO is 0.5m. I created a new depth parameter, which coincides with the middle point between FROM and TO, and named it SCPT_DPTH. Further, I have extracted the LOCA_ID from the file names and inserted it in a column. These data manipulations, will allow us to easily merge seismic data to other data.

data_seis <- 
  map(
  list_XLSX, ~ read_xlsx(.x, skip = 1) %>%
    mutate(LOCA_ID = basename(.x)) %>%
    dplyr::slice(-1)
) %>%
  bind_rows() %>%
  select(LOCA_ID, !LOCA_ID) %>%
  mutate(
    across(From:Gmax, as.double),
    across(is.double, round, 4)
  ) %>%
  # rename
  rename(
    FROM = From,
    TO = To,
    Vs = vs
  ) %>%
  # insert test point name
  mutate(
    LOCA_ID = stringr::str_remove(LOCA_ID, "HKN_20190221_FNLM_"),
    LOCA_ID = stringr::str_remove(LOCA_ID, "_XLSX_V04_F.xlsx"),
    LOCA_ID = stringr::str_remove(LOCA_ID, "HKN_20190306_FNLM_"),
    LOCA_ID = stringr::str_remove(LOCA_ID, "_XLSX_V05_F.xlsx")
  ) %>%
  mutate(across(LOCA_ID, as.factor)) %>%
  # new mean depth
  mutate(SCPT_DPTH = (FROM + TO) / 2) %>%
  mutate(across(SCPT_DPTH, round, 1)) %>%
  select(-(FROM:TO)) %>%
  mutate(LOCATION = stringr::str_extract(LOCA_ID, "HKN..")) %>%
  mutate(
    TYPE = case_when(
      str_detect(LOCA_ID, "PCPT") ~ "PCPT",
      str_detect(LOCA_ID, "TCPT") ~ "TCPT",
      str_detect(LOCA_ID, "SCPT") ~ "SCPT",
      str_detect(LOCA_ID, "BH") ~ "BH"
    )
  )

# table
func_tbl(data_seis)
LOCA_ID Vs Gmax SCPT_DPTH LOCATION TYPE
HKN02-SCPT-A 170.7400 59.4335 1.5 HKN02 SCPT
HKN02-SCPT-A 109.2803 24.3470 2.5 HKN02 SCPT
HKN02-SCPT-A 184.2541 69.2142 3.5 HKN02 SCPT
HKN02-SCPT-A 189.2160 72.9922 4.5 HKN02 SCPT
HKN02-SCPT-A 207.8951 88.1149 5.5 HKN02 SCPT
HKN02-SCPT-A 253.7453 131.2674 6.5 HKN02 SCPT
HKN02-SCPT-A 220.1592 98.8177 7.5 HKN02 SCPT
HKN02-SCPT-A 231.0083 108.7968 8.5 HKN02 SCPT
HKN02-SCPT-A 220.7359 99.3361 9.5 HKN02 SCPT
HKN02-SCPT-A 243.3443 120.7267 10.5 HKN02 SCPT
HKN02-SCPT-A 256.3219 133.9468 11.5 HKN02 SCPT
HKN02-SCPT-A 256.6536 134.2937 12.5 HKN02 SCPT
HKN02-SCPT-A 362.4500 267.8288 13.5 HKN02 SCPT
HKN02-SCPT-A 305.8900 190.7619 14.5 HKN02 SCPT
HKN02-SCPT-A 273.4700 152.4686 15.5 HKN02 SCPT
HKN02-SCPT-A 328.5900 220.1252 16.5 HKN02 SCPT
HKN02-SCPT-A 376.6600 289.2411 17.5 HKN02 SCPT
HKN02-SCPT-A 315.9500 203.5156 18.6 HKN02 SCPT
HKN02-SCPT-A 279.8700 159.6885 19.5 HKN02 SCPT
HKN02-SCPT-A 349.5239 249.0662 21.0 HKN02 SCPT
HKN02-SCPT-A 349.9100 249.6167 22.4 HKN02 SCPT
HKN02-SCPT-A 344.9900 242.6465 23.1 HKN02 SCPT
HKN06-SCPT 129.7083 34.3002 1.5 HKN06 SCPT
HKN06-SCPT 182.6664 68.0265 2.5 HKN06 SCPT
HKN06-SCPT 209.3744 89.3734 3.5 HKN06 SCPT
HKN06-SCPT 277.1743 156.6271 4.5 HKN06 SCPT
HKN06-SCPT 170.6314 59.3580 5.5 HKN06 SCPT
HKN06-SCPT 178.2672 64.7894 6.5 HKN06 SCPT
HKN06-SCPT 201.6812 82.9262 7.5 HKN06 SCPT
HKN06-SCPT 220.4032 99.0368 8.5 HKN06 SCPT
HKN06-SCPT 231.3823 109.1494 9.5 HKN06 SCPT
HKN06-SCPT 221.3147 99.8577 10.5 HKN06 SCPT
HKN06-SCPT 221.4046 99.9389 11.5 HKN06 SCPT
HKN06-SCPT 232.4317 110.1417 12.5 HKN06 SCPT
HKN06-SCPT 232.5124 110.2182 13.5 HKN06 SCPT
HKN06-SCPT 232.5023 110.2086 14.5 HKN06 SCPT
HKN06-SCPT 325.1354 215.5209 15.5 HKN06 SCPT
HKN06-SCPT 325.8454 216.4633 16.5 HKN06 SCPT
HKN06-SCPT 222.4537 100.8882 17.5 HKN06 SCPT
HKN06-SCPT 276.6800 156.0690 18.5 HKN06 SCPT
HKN06-SCPT 376.2266 288.5758 19.5 HKN06 SCPT
HKN06-SCPT 376.1999 288.5349 21.0 HKN06 SCPT
HKN06-SCPT 444.6285 403.0469 22.4 HKN06 SCPT
HKN10-SCPT 155.1800 49.0945 1.5 HKN10 SCPT
HKN10-SCPT 150.0400 45.8960 2.5 HKN10 SCPT
HKN10-SCPT 175.4500 62.7578 3.5 HKN10 SCPT
HKN10-SCPT 188.6365 72.5458 4.5 HKN10 SCPT
HKN10-SCPT 186.4800 70.8966 5.5 HKN10 SCPT
HKN10-SCPT 187.7800 71.8885 6.5 HKN10 SCPT
HKN10-SCPT 241.6486 119.0501 7.5 HKN10 SCPT
HKN10-SCPT 197.5500 79.5637 8.5 HKN10 SCPT
HKN10-SCPT 288.9900 170.2655 9.5 HKN10 SCPT
HKN10-SCPT 332.4600 225.3408 10.5 HKN10 SCPT
HKN10-SCPT 277.8200 157.3577 11.5 HKN10 SCPT
HKN10-SCPT 268.7600 147.2619 12.5 HKN10 SCPT
HKN10-SCPT 330.6100 222.8399 13.5 HKN10 SCPT
HKN10-SCPT 244.1281 121.5056 14.5 HKN10 SCPT
HKN10-SCPT 287.9500 169.0422 15.5 HKN10 SCPT
HKN10-SCPT 288.0000 169.1009 16.5 HKN10 SCPT
HKN10-SCPT 272.0400 150.8782 17.5 HKN10 SCPT
HKN10-SCPT 222.2397 100.6942 18.5 HKN10 SCPT
HKN10-SCPT 257.4482 135.1266 19.5 HKN10 SCPT
HKN10-SCPT 271.8811 150.7020 21.0 HKN10 SCPT
HKN10-SCPT 271.9551 150.7841 22.5 HKN10 SCPT
HKN10-SCPT 318.1300 206.3337 24.0 HKN10 SCPT
HKN10-SCPT 233.1291 110.8037 25.5 HKN10 SCPT
HKN10-SCPT 308.1600 193.6036 27.0 HKN10 SCPT
HKN10-SCPT 272.0496 150.8889 28.5 HKN10 SCPT
HKN10-SCPT 316.1400 203.7604 30.0 HKN10 SCPT
HKN10-SCPT 352.5400 253.3832 31.5 HKN10 SCPT
HKN10-SCPT 333.3600 226.5625 33.0 HKN10 SCPT
HKN10-SCPT 300.6500 184.2822 34.5 HKN10 SCPT
HKN10-SCPT 318.2300 206.4635 36.0 HKN10 SCPT
HKN10-SCPT 291.7100 173.4857 37.5 HKN10 SCPT
HKN10-SCPT 357.7300 260.8986 39.0 HKN10 SCPT
HKN10-SCPT 368.4900 276.8295 40.4 HKN10 SCPT
HKN10-SCPT 360.3700 264.7636 42.0 HKN10 SCPT
HKN10-SCPT 349.7312 249.3616 43.5 HKN10 SCPT
HKN14-SCPT-A 199.8000 81.3864 15.5 HKN14 SCPT
HKN14-SCPT-A 305.0744 189.7460 16.5 HKN14 SCPT
HKN14-SCPT-A 271.9469 150.7750 17.5 HKN14 SCPT
HKN14-SCPT-A 287.9076 168.9925 18.5 HKN14 SCPT
HKN14-SCPT-A 305.8036 190.6542 19.5 HKN14 SCPT
HKN14-SCPT-A 349.5719 249.1346 21.0 HKN14 SCPT
HKN14-SCPT-A 326.5361 217.3819 22.5 HKN14 SCPT
HKN14-SCPT-A 349.5966 249.1697 24.0 HKN14 SCPT
HKN14-SCPT-A 306.0338 190.9413 25.5 HKN14 SCPT
HKN14-SCPT-A 326.5178 217.3576 27.0 HKN14 SCPT
HKN14-SCPT-A 349.6355 249.2252 27.8 HKN14 SCPT
HKN14-SCPT 125.0500 31.8807 1.5 HKN14 SCPT
HKN14-SCPT 167.9124 57.4813 2.5 HKN14 SCPT
HKN14-SCPT 198.0200 79.9428 3.5 HKN14 SCPT
HKN14-SCPT 174.8770 62.3486 4.5 HKN14 SCPT
HKN14-SCPT 208.0004 88.2042 5.5 HKN14 SCPT
HKN14-SCPT 185.2193 69.9413 6.5 HKN14 SCPT
HKN14-SCPT 215.6200 94.7849 7.5 HKN14 SCPT
HKN14-SCPT 194.0141 76.7410 8.5 HKN14 SCPT
HKN14-SCPT 220.9404 99.5202 9.5 HKN14 SCPT
HKN14-SCPT 256.0231 133.6348 10.5 HKN14 SCPT
HKN14-SCPT 270.7683 149.4708 11.5 HKN14 SCPT
HKN14-SCPT 243.3600 120.7423 12.5 HKN14 SCPT
HKN14-SCPT 236.3800 113.9154 13.5 HKN14 SCPT
HKN14-SCPT 271.3395 150.1022 14.5 HKN14 SCPT
HKN14-SCPT 257.2031 134.8694 15.5 HKN14 SCPT
HKN21-SCPT-A 272.0937 150.9378 30.0 HKN21 SCPT
HKN21-SCPT-A 287.7125 168.7635 31.5 HKN21 SCPT
HKN21-SCPT-A 233.4245 111.0846 33.0 HKN21 SCPT
HKN21-SCPT-A 306.0050 190.9054 34.5 HKN21 SCPT
HKN21-SCPT-A 376.7846 289.4326 36.0 HKN21 SCPT
HKN21-SCPT-A 306.1110 191.0376 37.5 HKN21 SCPT
HKN21-SCPT-A 272.1906 151.0453 39.0 HKN21 SCPT
HKN21-SCPT-A 272.1390 150.9881 40.5 HKN21 SCPT
HKN21-SCPT-A 349.8771 249.5698 42.0 HKN21 SCPT
HKN21-SCPT-A 352.6000 253.4694 43.5 HKN21 SCPT
HKN21-SCPT-A 382.9000 298.9040 45.0 HKN21 SCPT
HKN21-SCPT-A 363.0500 268.7162 46.5 HKN21 SCPT
HKN21-SCPT-A 408.3521 339.9621 48.0 HKN21 SCPT
HKN21-SCPT-A 326.4308 217.2417 49.5 HKN21 SCPT
HKN21-SCPT-A 392.1100 313.4562 51.0 HKN21 SCPT
HKN21-SCPT-A 326.8207 217.7610 52.5 HKN21 SCPT
HKN21-SCPT 218.6900 97.5032 1.5 HKN21 SCPT
HKN21-SCPT 232.8200 110.5100 2.5 HKN21 SCPT
HKN21-SCPT 221.9800 100.4590 3.5 HKN21 SCPT
HKN21-SCPT 234.1100 111.7380 4.5 HKN21 SCPT
HKN21-SCPT 238.9585 116.4142 5.5 HKN21 SCPT
HKN21-SCPT 241.3223 118.7287 6.5 HKN21 SCPT
HKN21-SCPT 264.8600 143.0190 7.5 HKN21 SCPT
HKN21-SCPT 259.5400 137.3313 8.5 HKN21 SCPT
HKN21-SCPT 265.4300 143.6352 9.5 HKN21 SCPT
HKN21-SCPT 280.8700 160.8317 10.5 HKN21 SCPT
HKN21-SCPT 246.9500 124.3309 11.5 HKN21 SCPT
HKN21-SCPT 264.4100 142.5334 12.5 HKN21 SCPT
HKN21-SCPT 236.3800 113.9154 13.5 HKN21 SCPT
HKN21-SCPT 253.5900 131.1068 14.5 HKN21 SCPT
HKN21-SCPT 212.5787 92.1298 15.5 HKN21 SCPT
HKN21-SCPT 257.3469 135.0202 16.5 HKN21 SCPT
HKN21-SCPT 232.9873 110.6689 17.5 HKN21 SCPT
HKN21-SCPT 260.4900 138.3385 18.5 HKN21 SCPT
HKN21-SCPT 222.2228 100.6789 19.5 HKN21 SCPT
HKN21-SCPT 244.4594 121.8357 21.0 HKN21 SCPT
HKN21-SCPT 306.2398 191.1984 22.5 HKN21 SCPT
HKN21-SCPT 305.7174 190.5466 24.0 HKN21 SCPT
HKN21-SCPT 222.7106 101.1214 25.5 HKN21 SCPT
HKN21-SCPT 257.8042 135.5005 27.0 HKN21 SCPT
HKN21-SCPT 287.9408 169.0314 28.5 HKN21 SCPT
HKN21-SCPT 264.8700 143.0298 30.0 HKN21 SCPT
HKN21-SCPT 275.3000 154.5160 31.5 HKN21 SCPT
HKN25-SCPT 221.1730 99.7299 1.5 HKN25 SCPT
HKN25-SCPT 243.7041 121.0839 2.5 HKN25 SCPT
HKN25-SCPT 200.2730 81.7722 3.5 HKN25 SCPT
HKN25-SCPT 204.8123 85.5211 4.5 HKN25 SCPT
HKN25-SCPT 183.8157 68.8852 5.5 HKN25 SCPT
HKN25-SCPT 209.3736 89.3727 6.5 HKN25 SCPT
HKN25-SCPT 191.1000 74.4530 7.5 HKN25 SCPT
HKN25-SCPT 202.0605 83.2384 8.5 HKN25 SCPT
HKN25-SCPT 161.9075 53.4435 9.5 HKN25 SCPT
HKN25-SCPT 231.3275 109.0977 10.5 HKN25 SCPT
HKN25-SCPT 216.3600 95.4366 11.5 HKN25 SCPT
HKN25-SCPT 195.1305 77.6267 12.2 HKN25 SCPT
HKN25-SCPT 166.4805 56.5051 12.5 HKN25 SCPT
HKN25-SCPT 198.9000 80.6549 13.5 HKN25 SCPT
HKN25-SCPT 187.8539 71.9451 14.5 HKN25 SCPT
HKN25-SCPT 215.6500 94.8113 15.5 HKN25 SCPT
HKN25-SCPT 222.1981 100.6564 16.5 HKN25 SCPT
HKN25-SCPT 287.6468 168.6864 17.5 HKN25 SCPT
HKN25-SCPT 287.7090 168.7593 18.5 HKN25 SCPT
HKN25-SCPT 244.5323 121.9083 19.5 HKN25 SCPT
HKN25-SCPT 212.8523 92.3672 21.0 HKN25 SCPT
HKN25-SCPT 195.6419 78.0342 22.5 HKN25 SCPT
HKN25-SCPT 220.6800 99.2858 24.0 HKN25 SCPT
HKN25-SCPT 257.7328 135.4255 25.5 HKN25 SCPT
HKN25-SCPT 342.6400 239.3520 27.0 HKN25 SCPT
HKN25-SCPT 306.0711 190.9878 28.5 HKN25 SCPT
HKN25-SCPT 331.0900 223.4874 30.0 HKN25 SCPT
HKN25-SCPT 342.6800 239.4079 31.4 HKN25 SCPT
HKN25-SCPT 349.8830 249.5782 32.9 HKN25 SCPT
HKN25-SCPT 376.7693 289.4090 34.5 HKN25 SCPT
HKN25-SCPT 342.7100 239.4498 36.0 HKN25 SCPT
HKN25-SCPT 335.6700 229.7132 37.0 HKN25 SCPT
HKN26-SCPT 116.8190 27.8220 1.5 HKN26 SCPT
HKN26-SCPT 181.8033 67.3852 2.5 HKN26 SCPT
HKN26-SCPT 144.2496 42.4219 3.5 HKN26 SCPT
HKN26-SCPT 165.1600 55.6123 4.5 HKN26 SCPT
HKN26-SCPT 183.6943 68.7943 5.5 HKN26 SCPT
HKN26-SCPT 200.4729 81.9356 6.5 HKN26 SCPT
HKN26-SCPT 178.5006 64.9591 7.5 HKN26 SCPT
HKN26-SCPT 231.0663 108.8514 8.5 HKN26 SCPT
HKN26-SCPT 286.0617 166.8324 9.5 HKN26 SCPT
HKN26-SCPT 256.1374 133.7541 10.5 HKN26 SCPT
HKN26-SCPT 245.7100 123.0854 11.5 HKN26 SCPT
HKN26-SCPT 221.7457 100.2470 12.5 HKN26 SCPT
HKN26-SCPT 244.6500 122.0257 13.5 HKN26 SCPT
HKN26-SCPT 256.9958 134.6520 14.5 HKN26 SCPT
HKN26-SCPT 273.4700 152.4686 15.5 HKN26 SCPT
HKN26-SCPT 287.5079 168.5235 16.5 HKN26 SCPT
HKN26-SCPT 298.5700 181.7412 17.5 HKN26 SCPT
HKN26-SCPT 287.6919 168.7393 18.5 HKN26 SCPT
HKN26-SCPT 287.5811 168.6093 19.5 HKN26 SCPT
HKN26-SCPT 287.7934 168.8584 21.0 HKN26 SCPT
HKN26-SCPT 326.1828 216.9117 22.5 HKN26 SCPT
HKN27-SCPT 256.3300 133.9553 1.5 HKN27 SCPT
HKN27-SCPT 242.4941 119.8845 2.5 HKN27 SCPT
HKN27-SCPT 230.1163 107.9582 3.5 HKN27 SCPT
HKN27-SCPT 220.2000 98.8543 4.5 HKN27 SCPT
HKN27-SCPT 208.9900 89.0455 5.5 HKN27 SCPT
HKN27-SCPT 231.6000 109.3549 6.5 HKN27 SCPT
HKN27-SCPT 229.0952 107.0022 7.5 HKN27 SCPT
HKN27-SCPT 219.7746 98.4727 8.5 HKN27 SCPT
HKN27-SCPT 219.0100 97.7887 9.5 HKN27 SCPT
HKN27-SCPT 220.8467 99.4358 10.5 HKN27 SCPT
HKN27-SCPT 226.3700 104.4717 11.5 HKN27 SCPT
HKN27-SCPT 221.5691 100.0874 12.5 HKN27 SCPT
HKN27-SCPT 232.2144 109.9358 13.5 HKN27 SCPT
HKN27-SCPT 245.9400 123.3160 14.5 HKN27 SCPT
HKN27-SCPT 244.1967 121.5740 15.5 HKN27 SCPT
HKN27-SCPT 251.0800 128.5243 16.5 HKN27 SCPT
HKN27-SCPT 244.4330 121.8094 17.5 HKN27 SCPT
HKN27-SCPT 244.6150 121.9908 18.5 HKN27 SCPT
HKN27-SCPT 244.7829 122.1584 19.5 HKN27 SCPT
HKN27-SCPT 257.5565 135.2403 21.0 HKN27 SCPT
HKN27-SCPT 287.6990 168.7476 22.8 HKN27 SCPT
HKN31-SCPT 250.3084 127.7356 1.5 HKN31 SCPT
HKN31-SCPT 271.4994 150.2792 2.5 HKN31 SCPT
HKN31-SCPT 230.1628 108.0018 3.5 HKN31 SCPT
HKN31-SCPT 197.0622 79.1713 4.5 HKN31 SCPT
HKN31-SCPT 227.0924 105.1396 5.5 HKN31 SCPT
HKN31-SCPT 229.4609 107.3442 6.5 HKN31 SCPT
HKN31-SCPT 210.1168 90.0083 7.5 HKN31 SCPT
HKN31-SCPT 243.1723 120.5561 9.5 HKN31 SCPT
HKN31-SCPT 202.7256 83.7873 10.5 HKN31 SCPT
HKN31-SCPT 256.4853 134.1177 11.5 HKN31 SCPT
HKN31-SCPT 271.0237 149.7530 12.5 HKN31 SCPT
HKN31-SCPT 257.0148 134.6720 13.5 HKN31 SCPT
HKN31-SCPT 222.0237 100.4986 14.5 HKN31 SCPT
HKN31-SCPT 271.2683 150.0235 15.5 HKN31 SCPT
HKN36-SCPT 184.7600 69.5948 1.5 HKN36 SCPT
HKN36-SCPT 231.4797 109.2413 2.5 HKN36 SCPT
HKN36-SCPT 219.6334 98.3462 3.5 HKN36 SCPT
HKN36-SCPT 186.9300 71.2392 4.5 HKN36 SCPT
HKN36-SCPT 217.2385 96.2132 5.5 HKN36 SCPT
HKN36-SCPT 219.0800 97.8513 6.5 HKN36 SCPT
HKN36-SCPT 233.1600 110.8330 7.5 HKN36 SCPT
HKN36-SCPT 255.4700 133.0579 8.5 HKN36 SCPT
HKN36-SCPT 231.4700 109.2321 9.5 HKN36 SCPT
HKN36-SCPT 246.8300 124.2101 10.5 HKN36 SCPT
HKN36-SCPT 262.8800 140.8887 11.5 HKN36 SCPT
HKN36-SCPT 313.5600 200.4483 12.5 HKN36 SCPT
HKN36-SCPT 244.0265 121.4045 13.5 HKN36 SCPT
HKN36-SCPT 258.9500 136.7077 14.5 HKN36 SCPT
HKN36-SCPT 254.9600 132.5272 15.5 HKN36 SCPT
HKN36-SCPT 273.5200 152.5243 16.5 HKN36 SCPT
HKN36-SCPT 284.6900 165.2363 17.5 HKN36 SCPT
HKN36-SCPT 275.1200 154.3140 18.5 HKN36 SCPT
HKN36-SCPT 286.4100 167.2389 19.5 HKN36 SCPT
HKN36-SCPT 287.6549 168.6959 21.0 HKN36 SCPT
HKN36-SCPT 287.7757 168.8376 21.6 HKN36 SCPT
HKN38-SCPT 158.7675 51.3907 1.5 HKN38 SCPT
HKN38-SCPT 183.0788 68.3340 2.5 HKN38 SCPT
HKN38-SCPT 183.9716 69.0022 3.5 HKN38 SCPT
HKN38-SCPT 189.1378 72.9319 4.5 HKN38 SCPT
HKN38-SCPT 171.1179 59.6969 5.5 HKN38 SCPT
HKN38-SCPT 218.5188 97.3506 6.5 HKN38 SCPT
HKN38-SCPT 229.9444 107.7970 7.5 HKN38 SCPT
HKN38-SCPT 231.3695 109.1373 8.5 HKN38 SCPT
HKN38-SCPT 255.8325 133.4358 9.5 HKN38 SCPT
HKN38-SCPT 231.6077 109.3621 10.5 HKN38 SCPT
HKN38-SCPT 286.6829 167.5578 11.5 HKN38 SCPT
HKN38-SCPT 256.6787 134.3200 12.5 HKN38 SCPT
HKN38-SCPT 287.1650 168.1218 13.5 HKN38 SCPT
HKN38-SCPT 305.2174 189.9239 14.5 HKN38 SCPT
HKN38-SCPT 305.4077 190.1608 15.5 HKN38 SCPT
HKN38-SCPT 325.8330 216.4468 16.1 HKN38 SCPT
HKN41-SCPT-D 163.3900 54.4267 1.5 HKN41 SCPT
HKN41-SCPT-D 134.1100 36.6677 2.5 HKN41 SCPT
HKN41-SCPT-D 158.0400 50.9208 3.5 HKN41 SCPT
HKN41-SCPT-D 158.6400 51.3082 4.5 HKN41 SCPT
HKN41-SCPT-D 208.0900 88.2802 5.5 HKN41 SCPT
HKN41-SCPT-D 194.5400 77.1576 6.5 HKN41 SCPT
HKN41-SCPT-D 229.8600 107.7179 7.5 HKN41 SCPT
HKN41-SCPT-D 226.9500 105.0078 8.5 HKN41 SCPT
HKN41-SCPT-D 211.4400 91.1455 9.6 HKN41 SCPT
HKN41-SCPT-D 219.1700 97.9317 10.6 HKN41 SCPT
HKN41-SCPT-D 223.2700 101.6300 11.5 HKN41 SCPT
HKN41-SCPT-D 223.3600 101.7119 12.5 HKN41 SCPT
HKN41-SCPT-D 220.4100 99.0430 13.5 HKN41 SCPT
HKN41-SCPT-D 229.7700 107.6335 14.5 HKN41 SCPT
HKN41-SCPT-D 270.4500 149.1197 15.5 HKN41 SCPT
HKN41-SCPT-D 259.0500 136.8133 16.5 HKN41 SCPT
HKN41-SCPT-D 236.5500 114.0793 17.5 HKN41 SCPT
HKN41-SCPT-D 269.0800 147.6127 18.5 HKN41 SCPT
HKN41-SCPT-D 283.1000 163.3957 19.5 HKN41 SCPT
HKN41-SCPT-D 224.6800 102.9176 20.5 HKN41 SCPT
HKN41-SCPT-D 330.9900 223.3525 22.0 HKN41 SCPT
HKN41-SCPT-D 234.4000 112.0150 23.5 HKN41 SCPT
HKN41-SCPT-D 296.9300 179.7501 25.0 HKN41 SCPT
HKN41-SCPT-D 324.4800 214.6529 26.4 HKN41 SCPT
HKN41-SCPT-D 275.2700 154.4823 28.0 HKN41 SCPT
HKN41-SCPT-D 278.4100 158.0268 29.5 HKN41 SCPT
HKN47-SCPT-A 220.4324 99.0631 1.5 HKN47 SCPT
HKN47-SCPT-A 241.2200 118.6281 2.5 HKN47 SCPT
HKN47-SCPT-A 238.6100 116.0749 3.5 HKN47 SCPT
HKN47-SCPT-A 270.9200 149.6384 4.5 HKN47 SCPT
HKN47-SCPT-A 265.6222 143.8433 5.5 HKN47 SCPT
HKN47-SCPT 262.8400 140.8458 1.5 HKN47 SCPT
HKN47-SCPT 243.1937 120.5773 2.5 HKN47 SCPT
HKN48-SCPT-A 126.0100 32.3721 1.5 HKN48 SCPT
HKN48-SCPT-A 193.1500 76.0590 2.5 HKN48 SCPT
HKN48-SCPT-A 198.0300 79.9508 3.5 HKN48 SCPT
HKN48-SCPT-A 201.7800 83.0075 4.5 HKN48 SCPT
HKN48-SCPT-A 216.3811 95.4552 5.5 HKN48 SCPT
HKN48-SCPT-A 200.2250 81.7330 6.5 HKN48 SCPT
HKN48-SCPT-A 297.1400 180.0044 7.5 HKN48 SCPT
HKN48-SCPT-A 269.5800 148.1618 8.5 HKN48 SCPT
HKN48-SCPT-A 285.9639 166.7184 9.4 HKN48 SCPT
HKN48-SCPT-A 270.4212 149.0879 10.5 HKN48 SCPT
HKN48-SCPT-A 304.7291 189.3167 11.5 HKN48 SCPT
HKN48-SCPT-A 221.5666 100.0851 12.5 HKN48 SCPT
HKN48-SCPT-A 287.8200 168.8896 13.5 HKN48 SCPT
HKN48-SCPT-A 232.5155 110.2211 14.5 HKN48 SCPT
HKN48-SCPT-A 203.4759 84.4087 15.5 HKN48 SCPT
HKN48-SCPT-A 221.9166 100.4016 16.5 HKN48 SCPT
HKN48-SCPT-A 202.3400 83.4689 17.5 HKN48 SCPT
HKN48-SCPT-A 218.6300 97.4497 18.5 HKN48 SCPT
HKN48-SCPT-A 203.8213 84.6955 19.5 HKN48 SCPT
HKN48-SCPT-A 257.8000 135.4961 21.0 HKN48 SCPT
HKN48-SCPT-A 233.1052 110.7809 22.5 HKN48 SCPT
HKN48-SCPT-A 270.6600 149.3513 23.4 HKN48 SCPT
HKN48-SCPT 218.4678 97.3052 1.5 HKN48 SCPT
HKN48-SCPT 182.7839 68.1141 2.5 HKN48 SCPT
HKN48-SCPT 209.7574 89.7006 3.5 HKN48 SCPT
HKN48-SCPT 181.1614 66.9102 4.5 HKN48 SCPT
HKN48-SCPT 217.7990 96.7103 5.5 HKN48 SCPT
HKN48-SCPT 218.7711 97.5755 6.5 HKN48 SCPT
HKN48-SCPT 269.0828 147.6158 7.5 HKN48 SCPT
HKN48-SCPT 255.3969 132.9818 8.5 HKN48 SCPT
HKN56-SCPT-A 328.8700 220.5005 30.0 HKN56 SCPT
HKN56-SCPT-A 324.5200 214.7059 31.5 HKN56 SCPT
HKN56-SCPT-A 357.7000 260.8548 33.0 HKN56 SCPT
HKN56-SCPT-A 324.5400 214.7323 34.5 HKN56 SCPT
HKN56-SCPT-A 333.3800 226.5897 36.0 HKN56 SCPT
HKN56-SCPT-A 352.5800 253.4407 37.5 HKN56 SCPT
HKN56-SCPT-A 376.9900 289.7481 39.0 HKN56 SCPT
HKN56-SCPT-A 374.1200 285.3533 40.5 HKN56 SCPT
HKN56-SCPT-A 352.5900 253.4551 42.0 HKN56 SCPT
HKN56-SCPT-A 408.4200 340.0752 42.9 HKN56 SCPT
HKN56-SCPT 179.2991 65.5416 1.5 HKN56 SCPT
HKN56-SCPT 189.4297 73.1572 2.5 HKN56 SCPT
HKN56-SCPT 184.8280 69.6460 3.5 HKN56 SCPT
HKN56-SCPT 188.4267 72.3845 4.5 HKN56 SCPT
HKN56-SCPT 217.2813 96.2511 5.5 HKN56 SCPT
HKN56-SCPT 218.5936 97.4172 6.5 HKN56 SCPT
HKN56-SCPT 241.5384 118.9415 7.5 HKN56 SCPT
HKN56-SCPT 231.0735 108.8583 8.5 HKN56 SCPT
HKN56-SCPT 231.1085 108.8912 9.5 HKN56 SCPT
HKN56-SCPT 211.6606 91.3358 10.5 HKN56 SCPT
HKN56-SCPT 221.8363 100.3290 11.5 HKN56 SCPT
HKN56-SCPT 221.7396 100.2415 12.5 HKN56 SCPT
HKN56-SCPT 232.3988 110.1105 13.5 HKN56 SCPT
HKN56-SCPT 244.2032 121.5804 14.5 HKN56 SCPT
HKN56-SCPT 257.3612 135.0352 15.5 HKN56 SCPT
HKN56-SCPT 257.1800 134.8451 16.5 HKN56 SCPT
HKN56-SCPT 257.1642 134.8286 17.5 HKN56 SCPT
HKN56-SCPT 271.6792 150.4782 18.5 HKN56 SCPT
HKN56-SCPT 264.7400 142.8894 19.5 HKN56 SCPT
HKN56-SCPT 260.5500 138.4022 21.0 HKN56 SCPT
HKN56-SCPT 257.6533 135.3420 22.5 HKN56 SCPT
HKN56-SCPT 264.8200 142.9758 24.0 HKN56 SCPT
HKN56-SCPT 286.5200 167.3674 25.5 HKN56 SCPT
HKN56-SCPT 306.0116 190.9135 27.0 HKN56 SCPT
HKN56-SCPT 291.6600 173.4262 28.5 HKN56 SCPT
HKN56-SCPT 288.0665 169.1790 30.0 HKN56 SCPT
HKN58-SCPT 308.0000 193.4027 1.4 HKN58 SCPT
HKN58-SCPT 321.0700 210.1650 2.5 HKN58 SCPT
HKN58-SCPT 302.4600 186.5078 3.6 HKN58 SCPT
HKN58-SCPT 317.2800 205.2326 4.5 HKN58 SCPT
HKN58-SCPT 292.0800 173.9260 5.5 HKN58 SCPT
HKN58-SCPT 276.3400 155.6856 6.5 HKN58 SCPT
HKN58-SCPT 284.9700 165.5615 7.5 HKN58 SCPT
HKN58-SCPT 274.1300 153.2054 8.5 HKN58 SCPT
HKN58-SCPT 296.0000 178.6259 9.5 HKN58 SCPT
HKN58-SCPT 289.1800 170.4894 10.5 HKN58 SCPT
HKN58-SCPT 270.1500 148.7890 11.5 HKN58 SCPT
HKN58-SCPT 286.0500 166.8188 12.5 HKN58 SCPT
HKN58-SCPT 296.5500 179.2903 13.5 HKN58 SCPT
HKN58-SCPT 287.8900 168.9718 14.5 HKN58 SCPT
HKN58-SCPT 317.8700 205.9966 15.5 HKN58 SCPT
HKN58-SCPT 311.8400 198.2552 16.5 HKN58 SCPT
HKN58-SCPT 294.9800 177.3969 17.5 HKN58 SCPT
HKN58-SCPT 340.0800 235.7888 18.5 HKN58 SCPT
HKN58-SCPT 309.9800 195.8972 19.4 HKN58 SCPT
HKN58-SCPT 267.6600 146.0589 20.9 HKN58 SCPT
HKN58-SCPT 267.6900 146.0916 22.5 HKN58 SCPT
HKN58-SCPT 264.8200 142.9758 24.0 HKN58 SCPT
HKN58-SCPT 295.1500 177.6015 25.5 HKN58 SCPT
HKN58-SCPT 293.4000 175.5017 27.0 HKN58 SCPT
HKN58-SCPT 291.6600 173.4262 28.5 HKN58 SCPT
HKN58-SCPT 306.2600 191.2236 30.0 HKN58 SCPT
HKN58-SCPT 322.3900 211.8967 31.5 HKN58 SCPT
HKN58-SCPT 342.6900 239.4219 33.0 HKN58 SCPT
HKN58-SCPT 326.7999 217.7333 34.5 HKN58 SCPT
HKN58-SCPT 272.3377 151.2086 35.7 HKN58 SCPT
HKN65-SCPT 191.0600 74.4219 1.5 HKN65 SCPT
HKN65-SCPT 184.7400 69.5798 2.5 HKN65 SCPT
HKN65-SCPT 194.7800 77.3481 3.5 HKN65 SCPT
HKN65-SCPT 204.4094 85.1849 4.5 HKN65 SCPT
HKN65-SCPT 224.4700 102.7253 5.5 HKN65 SCPT
HKN65-SCPT 210.9500 90.7236 7.5 HKN65 SCPT
HKN65-SCPT 254.8907 132.4552 8.5 HKN65 SCPT
HKN65-SCPT 284.4200 164.9230 9.5 HKN65 SCPT
HKN65-SCPT 289.1800 170.4894 10.5 HKN65 SCPT
HKN65-SCPT 294.5600 176.8921 11.5 HKN65 SCPT
HKN65-SCPT 272.3400 151.2112 12.5 HKN65 SCPT
HKN65-SCPT 293.6200 175.7649 13.5 HKN65 SCPT
HKN65-SCPT 296.1000 178.7466 14.5 HKN65 SCPT
HKN65-SCPT 294.9000 177.3007 15.5 HKN65 SCPT
HKN65-SCPT 305.6422 190.4530 16.5 HKN65 SCPT
HKN65-SCPT 285.8000 166.5273 17.5 HKN65 SCPT
HKN65-SCPT 286.9586 167.8803 18.5 HKN65 SCPT
HKN65-SCPT 284.2500 164.7259 19.5 HKN65 SCPT
HKN65-SCPT 288.4811 169.6663 21.0 HKN65 SCPT
HKN65-SCPT 302.3900 186.4214 22.5 HKN65 SCPT
HKN65-SCPT 294.5500 176.8801 24.0 HKN65 SCPT
HKN65-SCPT 312.3900 198.9552 25.5 HKN65 SCPT
HKN65-SCPT 295.7700 178.3484 27.0 HKN65 SCPT
HKN65-SCPT 288.0669 169.1795 28.5 HKN65 SCPT
HKN65-SCPT 306.0553 190.9680 30.0 HKN65 SCPT
HKN65-SCPT 298.8000 182.0213 31.5 HKN65 SCPT
HKN65-SCPT 306.1635 191.1032 33.0 HKN65 SCPT
HKN65-SCPT 355.3400 257.4241 34.5 HKN65 SCPT
HKN65-SCPT 306.1458 191.0810 36.0 HKN65 SCPT
HKN65-SCPT 326.7200 217.6268 37.0 HKN65 SCPT
HKN67-SCPT 182.9400 68.2305 1.5 HKN67 SCPT
HKN67-SCPT 219.5900 98.3074 2.5 HKN67 SCPT
HKN67-SCPT 174.8100 62.3008 3.5 HKN67 SCPT
HKN67-SCPT 231.8600 109.6005 4.5 HKN67 SCPT
HKN67-SCPT 207.2000 87.5267 5.5 HKN67 SCPT
HKN67-SCPT 238.4100 115.8804 6.5 HKN67 SCPT
HKN67-SCPT 290.0600 171.5287 7.5 HKN67 SCPT
HKN67-SCPT 268.1000 146.5395 8.5 HKN67 SCPT
HKN67-SCPT 303.0158 187.1938 9.5 HKN67 SCPT
HKN67-SCPT 290.9000 172.5236 10.5 HKN67 SCPT
HKN67-SCPT 267.1900 145.5464 11.5 HKN67 SCPT
HKN67-SCPT 287.4187 168.4190 12.5 HKN67 SCPT
HKN67-SCPT 281.2100 161.2213 13.5 HKN67 SCPT
HKN67-SCPT 257.0037 134.6603 14.5 HKN67 SCPT
HKN67-SCPT 276.5600 155.9336 15.5 HKN67 SCPT
HKN67-SCPT 283.0000 163.2803 16.5 HKN67 SCPT
HKN67-SCPT 246.0600 123.4363 17.5 HKN67 SCPT
HKN67-SCPT 296.8000 179.5927 18.5 HKN67 SCPT
HKN67-SCPT 284.7500 165.3059 19.5 HKN67 SCPT
HKN67-SCPT 287.8664 168.9441 21.0 HKN67 SCPT
HKN70-SCPT 219.3604 98.1019 1.5 HKN70 SCPT
HKN70-SCPT 196.4100 78.6481 2.5 HKN70 SCPT
HKN70-SCPT 209.3100 89.3184 3.5 HKN70 SCPT
HKN70-SCPT 226.4200 104.5179 4.5 HKN70 SCPT
HKN70-SCPT 248.6400 126.0384 5.5 HKN70 SCPT
HKN70-SCPT 253.3278 130.8358 6.5 HKN70 SCPT
HKN70-SCPT 254.4880 132.0370 7.5 HKN70 SCPT
HKN70-SCPT 254.9887 132.5571 8.5 HKN70 SCPT
HKN70-SCPT 256.1315 133.7479 9.5 HKN70 SCPT
HKN70-SCPT 270.2485 148.8975 10.5 HKN70 SCPT
HKN70-SCPT 256.5071 134.1405 11.5 HKN70 SCPT
HKN70-SCPT 256.7921 134.4387 12.5 HKN70 SCPT
HKN70-SCPT 271.2233 149.9737 13.5 HKN70 SCPT
HKN70-SCPT 256.9569 134.6113 14.1 HKN70 SCPT
HKN72-SCPT-A 324.5100 214.6926 30.0 HKN72 SCPT
HKN72-SCPT-A 320.2800 209.1321 31.5 HKN72 SCPT
HKN72-SCPT-A 415.2900 351.6122 33.0 HKN72 SCPT
HKN72-SCPT-A 401.6900 328.9600 34.5 HKN72 SCPT
HKN72-SCPT-A 382.8700 298.8572 36.0 HKN72 SCPT
HKN72-SCPT-A 395.2300 318.4643 37.5 HKN72 SCPT
HKN72-SCPT-A 415.3300 351.6799 39.0 HKN72 SCPT
HKN72-SCPT-A 401.7200 329.0091 40.5 HKN72 SCPT
HKN72-SCPT-A 331.1500 223.5684 42.0 HKN72 SCPT
HKN72-SCPT-A 305.9189 190.7979 43.5 HKN72 SCPT
HKN72-SCPT-A 350.0800 249.8593 45.0 HKN72 SCPT
HKN72-SCPT-A 422.5200 363.9616 46.5 HKN72 SCPT
HKN72-SCPT-A 466.7900 444.2261 48.0 HKN72 SCPT
HKN72-SCPT-A 401.7500 329.0582 49.5 HKN72 SCPT
HKN72-SCPT-A 411.8800 345.8616 50.2 HKN72 SCPT
HKN72-SCPT 38.6241 3.0414 1.5 HKN72 SCPT
HKN72-SCPT 174.6338 62.1752 2.5 HKN72 SCPT
HKN72-SCPT 203.9400 84.7941 3.5 HKN72 SCPT
HKN72-SCPT 205.2100 85.8535 4.5 HKN72 SCPT
HKN72-SCPT 242.4200 119.8113 5.5 HKN72 SCPT
HKN72-SCPT 248.1400 125.5320 6.5 HKN72 SCPT
HKN72-SCPT 249.9000 127.3191 7.5 HKN72 SCPT
HKN72-SCPT 266.6400 144.9478 8.5 HKN72 SCPT
HKN72-SCPT 245.4200 122.7951 9.5 HKN72 SCPT
HKN72-SCPT 282.5000 162.7039 10.5 HKN72 SCPT
HKN72-SCPT 287.8496 168.9243 11.5 HKN72 SCPT
HKN72-SCPT 250.8500 128.2889 12.5 HKN72 SCPT
HKN72-SCPT 250.9200 128.3605 13.5 HKN72 SCPT
HKN72-SCPT 270.4000 149.0645 14.5 HKN72 SCPT
HKN72-SCPT 291.3800 173.0934 15.5 HKN72 SCPT
HKN72-SCPT 281.3800 161.4163 16.5 HKN72 SCPT
HKN72-SCPT 288.0400 169.1479 17.5 HKN72 SCPT
HKN72-SCPT 269.6233 148.2094 18.5 HKN72 SCPT
HKN72-SCPT 245.4955 122.8706 19.5 HKN72 SCPT
HKN72-SCPT 283.1400 163.4419 21.0 HKN72 SCPT
HKN72-SCPT 269.1600 147.7005 22.5 HKN72 SCPT
HKN72-SCPT 269.1800 147.7225 24.0 HKN72 SCPT
HKN72-SCPT 274.2352 153.3230 25.5 HKN72 SCPT
HKN72-SCPT 296.9700 179.7985 28.5 HKN72 SCPT
HKN72-SCPT 303.2092 187.4329 30.0 HKN72 SCPT
HKN72-SCPT 306.2700 191.2361 31.1 HKN72 SCPT
HKN75-SCPT-A 272.0168 150.8525 15.5 HKN75 SCPT
HKN75-SCPT-A 271.1149 149.8539 16.5 HKN75 SCPT
HKN75-SCPT-A 326.0367 216.7175 17.6 HKN75 SCPT
HKN75-SCPT 132.9000 36.0090 1.5 HKN75 SCPT
HKN75-SCPT 230.4900 108.3092 2.5 HKN75 SCPT
HKN75-SCPT 231.6500 109.4021 3.5 HKN75 SCPT
HKN75-SCPT 227.4800 105.4988 4.5 HKN75 SCPT
HKN75-SCPT 196.3000 78.5600 5.5 HKN75 SCPT
HKN75-SCPT 217.1300 96.1171 6.5 HKN75 SCPT
HKN75-SCPT 247.3700 124.7542 7.5 HKN75 SCPT
HKN75-SCPT 256.8100 134.4574 8.5 HKN75 SCPT
HKN75-SCPT 279.0800 158.7883 9.5 HKN75 SCPT
HKN75-SCPT 313.2800 200.0904 10.5 HKN75 SCPT
HKN75-SCPT 274.7000 153.8432 11.5 HKN75 SCPT
HKN75-SCPT 256.1000 133.7150 12.5 HKN75 SCPT
HKN75-SCPT 375.4672 287.4120 13.5 HKN75 SCPT
HKN75-SCPT 321.9900 211.3712 14.5 HKN75 SCPT
HKN02-BH-SA 318.1800 206.3986 33.0 HKN02 BH
HKN02-BH-SA 388.9800 308.4718 52.0 HKN02 BH
HKN28-BH-SC 241.2501 118.6578 2.5 HKN28 BH
HKN28-BH-SC 230.2028 108.0395 5.5 HKN28 BH
HKN28-BH-SC 243.5771 120.9578 8.5 HKN28 BH
HKN28-BH-SC 241.8400 119.2387 11.5 HKN28 BH
HKN28-BH-SC 271.7500 150.5567 14.5 HKN28 BH
HKN28-BH-SC 271.7531 150.5601 17.5 HKN28 BH
HKN28-BH-SC 272.0000 150.8338 19.4 HKN28 BH
HKN28-BH-SC 212.9677 92.4674 22.7 HKN28 BH
HKN28-BH-SC 244.9107 122.2859 25.9 HKN28 BH
HKN28-BH-SC 288.2000 169.3359 28.9 HKN28 BH
HKN28-BH-SC 295.1700 177.6255 31.9 HKN28 BH
HKN28-BH-SC 273.7400 152.7698 33.8 HKN28 BH
HKN28-BH-SC 326.4977 217.3308 35.3 HKN28 BH
HKN28-BH-SC 257.9189 135.6212 37.0 HKN28 BH
HKN28-BH-SC 251.3100 128.7599 40.0 HKN28 BH
HKN28-BH-SC 257.9414 135.6448 43.0 HKN28 BH
HKN28-BH-SC 272.2703 151.1338 45.8 HKN28 BH
HKN28-BH-SC 306.6011 191.6498 49.5 HKN28 BH
HKN28-BH-SC 350.1183 249.9140 50.9 HKN28 BH
HKN28-BH-SC 377.2527 290.1520 52.3 HKN28 BH
HKN28-BH-SC 379.9400 294.3005 54.6 HKN28 BH
HKN28-BH-SC 335.7000 229.7543 57.1 HKN28 BH
HKN28-BH-SC 408.4400 340.1085 58.7 HKN28 BH
HKN33-BH-SA 195.6808 78.0652 14.1 HKN33 BH
HKN33-BH-SA 204.4574 85.2249 24.0 HKN33 BH
HKN33-BH-SA 245.0501 122.4252 34.0 HKN33 BH
HKN39-BH-SA 252.0000 129.4679 14.0 HKN39 BH
HKN39-BH-SA 306.3537 191.3407 18.0 HKN39 BH
HKN39-BH-SA 306.2630 191.2274 22.0 HKN39 BH
HKN39-BH-SA 349.8323 249.5059 28.0 HKN39 BH
HKN39-BH-SA 308.0000 193.4027 32.0 HKN39 BH
HKN47-BH-SA 319.0000 207.4638 9.5 HKN47 BH
HKN47-BH-SA 262.0000 139.9470 16.5 HKN47 BH
HKN47A-BH-SA 256.0000 133.6106 22.0 HKN47 BH
HKN48A-BH-SA 233.2700 110.9376 26.1 HKN48 BH
HKN48A-BH-SA 250.0100 127.4312 36.0 HKN48 BH
HKN67-BH-SA 259.1400 136.9083 23.0 HKN67 BH
HKN67-BH-SA 258.0000 135.7064 27.0 HKN67 BH
HKN67-BH-SA 331.0000 223.3660 36.0 HKN67 BH
HKN70-BH-SA 288.1500 169.2771 25.5 HKN70 BH
HKN70-BH-SA 304.3500 188.8459 34.5 HKN70 BH
HKN75-BH-SA 304.0000 188.4118 17.0 HKN75 BH
HKN75-BH-SA 271.0000 149.7268 23.9 HKN75 BH
HKN75-BH-SA 336.0000 230.1651 32.0 HKN75 BH
HKN75-BH-SA 380.0000 294.3935 41.6 HKN75 BH


In overall, we have a set of 570 measurements for Vs and Gmax. A very good data base to hopefully allow us to train some ML models. The following is a plot versus depth of Vs and Gmax and, as you could suspect, they are basically the same data 😄

plot_vs <- 
  ggplot(data_seis, aes(Vs, SCPT_DPTH)) +
  geom_point(alpha = 0.15, size = 5, color = gray_2) +
  scale_y_reverse() +
  coord_cartesian(expand = c(0, 0), xlim = c(0, NA), ylim = c(80, 0)) +
  labs(x = "Vs (m/s)")

plot_gmax <- 
  ggplot(data_seis, aes(Gmax, SCPT_DPTH)) +
  geom_point(alpha = 0.15, size = 5, color = gray_2) +
  scale_y_reverse() +
  coord_cartesian(expand = c(0, 0), xlim = c(0, NA), ylim = c(80, 0)) +
  labs(y = NULL) +
  labs(x = "Gmax (MPa)")

plot_vs | plot_gmax
_Plot of measured `Vs` and `Gmax` vs depth._

Plot of measured Vs and Gmax vs depth.

3.4 Putting it all together

Up to this point, we have 2 data sets:

  • data_corr: corrected CPTU data
  • data_seis: seismic measurements data

Let’s merge these data sets into one comprehensive data set,data_all.

data_all <- data_corr %>% left_join(data_seis, by = c("LOCA_ID", "SCPT_DPTH", "LOCATION", "TYPE"))

# table
func_tbl(head(data_all, 100))
LOCA_ID LOCA_NATE LOCA_NATN LOCA_FDEP LOCA_WDEP TYPE LOCATION LOCA_NR SCPG_TESN SCPT_DPTH SCPT_RES SCPT_FRES SCPT_PWP2 SCPT_QT SCPT_QNET SCPT_BQ UW U0 SV0 SV0P Fr n Qtn Ic Vs Gmax
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.02 0.042 NA NA 0.042 0.042 0.1835 NA 0.1962 NA NA NA NA NA NA NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.04 0.080 NA NA 0.080 0.080 0.1234 NA 0.3924 NA NA NA NA NA NA NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.06 0.118 NA NA 0.119 0.117 0.0633 NA 0.5886 NA NA NA NA NA NA NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.08 0.157 8.353 1.9 0.157 0.156 0.0034 180.0658 0.7848 14.4053 13.6205 5.8579 1.0000 10.4692 3.1550 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.10 0.354 6.625 1.8 0.355 0.353 0.0016 14.9989 0.9810 1.4999 0.5189 1.8741 0.4686 41.3779 2.3797 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.12 0.527 7.500 1.9 0.528 0.526 0.0011 15.9117 1.1772 1.9094 0.7322 1.4256 0.4237 42.0036 2.3018 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.14 0.602 9.325 1.9 0.603 0.600 0.0011 16.0793 1.3734 2.2511 0.8777 1.5522 0.4399 47.9699 2.2785 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.16 0.705 11.149 1.9 0.706 0.703 0.0003 16.2833 1.5696 2.6053 1.0357 1.5850 0.4437 53.1292 2.2495 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.18 0.827 12.973 2.1 0.828 0.824 0.0005 16.4915 1.7658 2.9685 1.2027 1.5724 0.4418 57.8550 2.2187 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.20 0.941 14.797 2.3 0.942 0.938 0.0003 16.6598 1.9620 3.3320 1.3700 1.5764 0.4424 62.2881 2.1949 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.22 0.933 8.161 2.6 0.934 0.930 0.0003 17.0439 2.1582 3.7496 1.5914 0.8773 0.3686 42.5361 2.1779 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.24 0.988 7.077 2.9 0.989 0.984 0.0004 17.1829 2.3544 4.1239 1.7695 0.7186 0.3452 39.3975 2.1616 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.26 1.043 9.129 3.2 1.044 1.039 0.0005 17.1127 2.5506 4.4493 1.8987 0.8782 0.3746 45.6095 2.1525 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.28 1.097 9.944 3.5 1.099 1.093 0.0005 17.1281 2.7468 4.7959 2.0491 0.9088 0.3817 47.9608 2.1424 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.30 1.152 16.997 3.8 1.154 1.148 0.0006 16.8410 2.9430 5.0523 2.1093 1.4794 0.4499 64.8555 2.1637 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.32 1.298 23.855 4.3 1.300 1.294 0.0008 16.9810 3.1392 5.4339 2.2947 1.8427 0.4798 78.7888 2.1639 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.34 1.435 25.418 4.7 1.437 1.431 0.0009 17.1737 3.3354 5.8391 2.5037 1.7760 0.4735 81.6017 2.1419 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.36 1.356 25.986 5.1 1.358 1.351 0.0011 17.0699 3.5316 6.1451 2.6135 1.9222 0.4926 80.9929 2.1679 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.38 1.454 25.135 4.5 1.456 1.448 0.0005 17.1986 3.7278 6.5355 2.8077 1.7341 0.4777 79.4608 2.1432 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.40 1.551 23.319 4.8 1.553 1.545 0.0004 17.3852 3.9240 6.9541 3.0301 1.5083 0.4583 76.3612 2.1154 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.42 1.413 20.760 5.2 1.415 1.407 0.0006 17.2846 4.1202 7.2595 3.1393 1.4747 0.4657 70.1785 2.1366 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.44 1.467 19.153 5.1 1.469 1.460 0.0004 17.3809 4.3164 7.6476 3.3312 1.3106 0.4509 67.3920 2.1173 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.46 1.565 18.569 5.3 1.567 1.558 0.0004 17.5099 4.5126 8.0546 3.5420 1.1911 0.4374 66.8199 2.0942 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.48 1.615 19.665 5.6 1.617 1.608 0.0004 17.5439 4.7088 8.4211 3.7123 1.2225 0.4425 68.6936 2.0919 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.50 1.709 21.744 5.5 1.711 1.702 0.0003 17.5917 4.9050 8.7959 3.8909 1.2774 0.4479 72.4564 2.0859 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.52 1.792 22.870 5.6 1.794 1.784 0.0003 17.6566 5.1012 9.1814 4.0802 1.2814 0.4484 74.5021 2.0774 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.54 1.867 22.894 6.2 1.869 1.859 0.0003 17.7269 5.2974 9.5725 4.2751 1.2312 0.4434 74.8199 2.0650 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.56 1.958 20.578 6.9 1.961 1.950 0.0005 17.8429 5.4936 9.9920 4.4984 1.0547 0.4223 71.8799 2.0368 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.58 2.040 22.219 7.3 2.043 2.032 0.0007 17.8849 5.6898 10.3732 4.6834 1.0931 0.4273 74.7514 2.0329 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.60 2.146 24.133 7.1 2.149 2.137 0.0005 17.9378 5.8860 10.7627 4.8767 1.1286 0.4309 78.1345 2.0265 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.62 2.298 17.562 7.2 2.301 2.289 0.0005 18.1267 6.0822 11.2385 5.1563 0.7670 0.3773 69.6579 1.9667 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.64 2.483 14.796 7.4 2.486 2.474 0.0004 18.2644 6.2784 11.6892 5.4108 0.5980 0.3420 66.6476 1.9244 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.66 2.664 14.194 7.7 2.667 2.654 0.0004 18.3570 6.4746 12.1156 5.6410 0.5346 0.3248 67.0867 1.8972 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.68 2.737 16.143 8.2 2.741 2.727 0.0004 18.3669 6.6708 12.4895 5.8187 0.5916 0.3382 70.9207 1.8990 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.70 2.737 18.848 8.1 2.741 2.727 0.0005 18.3435 6.8670 12.8404 5.9734 0.6909 0.3611 74.9984 1.9147 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.72 2.806 20.620 8.5 2.809 2.795 0.0004 18.3593 7.0632 13.2187 6.1555 0.7375 0.3704 78.0265 1.9164 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.74 3.020 20.948 8.6 3.023 3.009 0.0004 18.4492 7.2594 13.6524 6.3930 0.6961 0.3593 80.3213 1.8918 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.76 3.139 20.423 8.8 3.143 3.128 0.0003 18.5004 7.4556 14.0603 6.6047 0.6527 0.3503 80.5363 1.8753 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.78 3.258 21.256 9.1 3.262 3.246 0.0004 18.5401 7.6518 14.4613 6.8095 0.6545 0.3501 82.6540 1.8666 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.80 3.340 21.331 9.9 3.344 3.328 0.0004 18.5692 7.8480 14.8554 7.0074 0.6407 0.3478 83.3699 1.8583 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.82 3.501 21.883 9.7 3.505 3.489 0.0005 18.6210 8.0442 15.2692 7.2250 0.6271 0.3434 85.4720 1.8442 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.84 3.700 22.757 9.8 3.704 3.687 0.0003 18.6816 8.2404 15.6926 7.4522 0.6170 0.3389 88.3448 1.8283 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.86 3.790 23.351 10.1 3.794 3.777 0.0003 18.7072 8.4366 16.0882 7.6516 0.6181 0.3395 89.8173 1.8228 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.88 3.813 23.533 10.1 3.818 3.800 0.0004 18.7137 8.6328 16.4680 7.8352 0.6190 0.3416 90.1272 1.8219 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.90 3.934 25.382 10.6 3.938 3.920 0.0003 18.7435 8.8290 16.8691 8.0401 0.6473 0.3470 93.4255 1.8198 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.92 4.103 27.063 10.4 4.107 4.089 0.0002 18.7873 9.0252 17.2843 8.2591 0.6617 0.3485 96.9034 1.8123 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.94 4.278 28.748 10.5 4.283 4.264 0.0003 18.8319 9.2214 17.7019 8.4805 0.6740 0.3495 100.3898 1.8043 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.96 4.476 29.480 10.8 4.481 4.462 0.0003 18.8814 9.4176 18.1262 8.7086 0.6606 0.3451 102.9522 1.7903 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.98 4.715 31.386 10.7 4.720 4.700 0.0002 18.9375 9.6138 18.5587 8.9449 0.6676 0.3442 107.2181 1.7787 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.00 4.920 34.754 11.5 4.925 4.905 0.0003 18.9834 9.8100 18.9834 9.1734 0.7084 0.3507 112.6543 1.7768 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.02 5.202 37.137 11.3 5.207 5.187 0.0002 19.0449 10.0062 19.4258 9.4196 0.7159 0.3495 117.6865 1.7644 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.04 5.817 38.289 11.0 5.822 5.801 0.0001 19.1655 10.2024 19.9322 9.7298 0.6599 0.3311 124.6693 1.7231 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.06 6.515 39.136 10.8 6.520 6.499 0.0001 19.2820 10.3986 20.4389 10.0403 0.6021 0.3111 131.9771 1.6794 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.08 7.176 41.300 10.8 7.180 7.159 0.0000 19.3793 10.5948 20.9296 10.3348 0.5769 0.2992 140.2098 1.6473 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.10 7.862 44.539 10.7 7.866 7.844 0.0000 19.4737 10.7910 21.4211 10.6301 0.5678 0.2916 149.7395 1.6202 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.12 8.598 47.545 10.3 8.603 8.581 -0.0001 19.5646 10.9872 21.9124 10.9252 0.5541 0.2829 159.3944 1.5922 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.14 9.299 49.895 10.6 9.303 9.281 -0.0001 19.6400 11.1834 22.3896 11.2062 0.5376 0.2743 167.9473 1.5662 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.16 9.897 52.393 10.9 9.901 9.878 -0.0001 19.7003 11.3796 22.8524 11.4728 0.5304 0.2693 175.6852 1.5471 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.18 10.383 55.959 11.0 10.387 10.364 -0.0001 19.7519 11.5758 23.3072 11.7314 0.5400 0.2699 183.4690 1.5370 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.20 10.780 58.623 11.4 10.785 10.761 -0.0001 19.7927 11.7720 23.7512 11.9792 0.5448 0.2700 189.4694 1.5285 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.22 11.292 62.043 11.8 11.297 11.273 0.0000 19.8432 11.9682 24.2087 12.2405 0.5504 0.2697 197.1945 1.5178 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.24 11.782 65.786 11.8 11.787 11.762 -0.0001 19.8899 12.1644 24.6635 12.4991 0.5593 0.2705 204.9601 1.5093 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.26 12.103 69.963 11.9 12.108 12.083 0.0000 19.9247 12.3606 25.1051 12.7445 0.5790 0.2752 211.4802 1.5087 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.28 12.272 73.633 12.7 12.278 12.252 0.0000 19.9469 12.5568 25.5321 12.9753 0.6010 0.2811 215.9985 1.5123 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.30 12.353 74.923 13.0 12.358 12.332 0.0000 19.9558 12.7530 25.9425 13.1895 0.6075 0.2836 217.4845 1.5132 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.32 12.334 75.408 13.7 12.340 12.314 0.0000 19.9559 12.9492 26.3418 13.3926 0.6124 0.2861 217.3240 1.5158 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.34 12.337 74.820 14.2 12.343 12.317 0.0001 19.9541 13.1454 26.7385 13.5931 0.6075 0.2861 216.4514 1.5148 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.36 12.314 73.723 14.4 12.320 12.293 0.0001 19.9493 13.3416 27.1311 13.7895 0.5997 0.2855 214.9147 1.5134 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.38 12.318 70.393 14.6 12.324 12.297 0.0001 19.9382 13.5378 27.5147 13.9769 0.5725 0.2799 211.7553 1.5050 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.40 12.381 67.165 14.4 12.387 12.359 0.0000 19.9321 13.7340 27.9049 14.1709 0.5434 0.2731 209.2141 1.4945 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.42 12.519 65.149 14.6 12.525 12.498 0.0000 19.9334 13.9302 28.3055 14.3753 0.5213 0.2675 208.4161 1.4843 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.44 12.759 62.575 14.8 12.765 12.737 0.0000 19.9390 14.1264 28.7121 14.5857 0.4913 0.2587 208.0253 1.4688 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.46 13.176 61.168 14.6 13.182 13.153 0.0000 19.9585 14.3226 29.1394 14.8168 0.4651 0.2496 210.2499 1.4505 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.48 13.387 62.468 15.1 13.393 13.364 0.0000 19.9752 14.5188 29.5633 15.0445 0.4675 0.2504 213.1266 1.4472 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.50 13.595 62.525 15.1 13.601 13.571 0.0000 19.9869 14.7150 29.9803 15.2653 0.4607 0.2483 214.8235 1.4406 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.52 13.930 63.519 14.9 13.937 13.907 0.0000 20.0094 14.9112 30.4142 15.5030 0.4568 0.2465 218.5252 1.4324 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.54 14.203 66.689 15.1 14.209 14.178 0.0000 20.0369 15.1074 30.8569 15.7495 0.4704 0.2505 223.5931 1.4325 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.56 14.161 68.592 15.9 14.168 14.137 0.0000 20.0398 15.3036 31.2621 15.9585 0.4852 0.2564 224.6319 1.4394 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.58 13.991 72.540 16.6 13.998 13.967 0.0001 20.0450 15.4998 31.6710 16.1712 0.5194 0.2683 226.0740 1.4560 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.60 13.952 74.008 17.2 13.959 13.928 0.0000 20.0480 15.6960 32.0769 16.3809 0.5314 0.2730 226.5779 1.4617 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.62 14.017 73.772 17.0 14.024 13.992 0.0000 20.0513 15.8922 32.4831 16.5909 0.5273 0.2727 226.6953 1.4593 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.64 14.039 74.270 16.8 14.046 14.013 0.0000 20.0539 16.0884 32.8884 16.8000 0.5300 0.2744 226.9853 1.4604 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.66 14.028 73.398 17.4 14.036 14.003 0.0000 20.0502 16.2846 33.2833 16.9987 0.5242 0.2740 225.9102 1.4588 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.68 14.062 75.740 17.5 14.070 14.037 0.0000 20.0601 16.4808 33.7009 17.2201 0.5396 0.2791 227.7086 1.4644 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.70 14.200 77.041 17.7 14.207 14.174 0.0000 20.0729 16.6770 34.1240 17.4470 0.5436 0.2806 229.6682 1.4636 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.72 14.367 78.592 18.0 14.374 14.340 0.0000 20.0869 16.8732 34.5495 17.6763 0.5481 0.2820 232.0857 1.4625 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.74 14.492 82.171 18.4 14.500 14.466 0.0001 20.1058 17.0694 34.9841 17.9147 0.5681 0.2876 235.5175 1.4680 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.76 14.641 85.061 18.5 14.649 14.614 0.0001 20.1233 17.2656 35.4171 18.1515 0.5821 0.2915 238.6111 1.4708 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.78 14.891 88.163 18.7 14.899 14.864 0.0000 20.1474 17.4618 35.8625 18.4007 0.5932 0.2940 242.7829 1.4708 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.80 15.179 89.238 18.8 15.187 15.151 0.0000 20.1656 17.6580 36.2980 18.6400 0.5890 0.2926 245.9571 1.4645 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.82 15.485 90.397 18.6 15.493 15.457 0.0000 20.1844 17.8542 36.7357 18.8815 0.5849 0.2911 249.3566 1.4581 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.84 15.789 91.335 18.9 15.797 15.761 0.0000 20.2022 18.0504 37.1720 19.1216 0.5795 0.2894 252.5834 1.4513 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.86 15.922 93.060 19.1 15.930 15.893 0.0000 20.2136 18.2466 37.5972 19.3506 0.5856 0.2913 254.6259 1.4518 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.88 15.972 95.666 19.3 15.980 15.943 0.0000 20.2237 18.4428 38.0205 19.5777 0.6001 0.2956 256.3731 1.4569 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.90 16.010 97.585 19.4 16.018 15.980 0.0000 20.2314 18.6390 38.4396 19.8006 0.6107 0.2990 257.5260 1.4607 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.92 16.026 99.242 20.4 16.034 15.996 0.0001 20.2376 18.8352 38.8562 20.0210 0.6205 0.3022 258.2658 1.4645 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.94 15.981 99.195 20.8 15.990 15.952 0.0001 20.2342 19.0314 39.2543 20.2229 0.6219 0.3037 257.3780 1.4663 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.96 15.783 98.169 21.0 15.791 15.753 0.0001 20.2209 19.2276 39.6329 20.4053 0.6232 0.3058 254.3497 1.4707 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.98 15.486 94.687 21.2 15.494 15.455 0.0001 20.1947 19.4238 39.9855 20.5617 0.6127 0.3057 248.9104 1.4724 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 2.00 15.054 91.106 21.9 15.063 15.024 0.0001 20.1604 19.6200 40.3209 20.7009 0.6065 0.3073 242.0752 1.4782 NA NA

4 MODELS

Here we start to build and train our models to predict Gmax. As previously mentioned, we aim to build a stacked ML model here, meaning that we are gong to blend several models together.

4.1 Basic setup and data preparation

The models are obviously going to be trained using those data points where Gmax are present, so we need to extract this portion of the data from the overall dataset. But first, let’s see if locations with Gmax measurements fully represent the whole site, i.e. if all the spectra of ground properties is covered.

data_all <- 
  data_all %>%
  mutate(
    YES_NO = case_when(
      LOCA_ID %in% c(levels(data_seis$LOCA_ID)) ~ "with Gmax",
      TRUE ~ "without Gmax")
  )
plot_qc <- 
  ggplot(data_all, aes(SCPT_RES, SCPT_DPTH)) +
  geom_point(alpha = 0.05, size = 1, aes(color = YES_NO)) +
  scale_y_reverse() +
  facet_wrap(~YES_NO, ncol = 1) +
  coord_cartesian(expand = c(0, 0), ylim = c(80, 0)) +
  scale_color_manual(values = c(col_r, col_y)) +
  theme(legend.position = "none") +
  labs(x = "qc (MPa)")

hist_qc <- 
  ggplot(data_all, aes(SCPT_RES)) +
  geom_histogram(alpha = 0.5, aes(y =..density.., fill = YES_NO)) +
  facet_wrap(~YES_NO, scales = "free_y", ncol = 1) +
  coord_cartesian(expand = c(0, 0)) +
  scale_fill_manual(values = c(col_r, col_y)) +
  theme(legend.position = "none") +
  stat_function(data = data_all,
                aes(SCPT_RES),
                fun = dnorm,
                n = 200,
                args = list(mean = mean(data_all$SCPT_RES, na.rm = TRUE),
                            sd = sd(data_all$SCPT_RES, na.rm = TRUE)),
                colour = gray_2,
                size = 2,
                alpha = 0.5) +
  labs(x = "qc (MPa)")

hist_ic <- 
  ggplot(data_all, aes(Ic)) +
  geom_histogram(alpha = 0.5, aes(y =..density.., fill = YES_NO)) +
  facet_wrap(~YES_NO, scales = "free_y", ncol = 1) +
  coord_cartesian(expand = c(0, 0)) +
  scale_fill_manual(values = c(col_r, col_y)) +
  theme(legend.position = "none") +
  stat_function(data = data_all,
                aes(Ic),
                fun = dnorm,
                n = 200,
                args = list(mean = mean(data_all$Ic, na.rm = TRUE),
                            sd = sd(data_all$Ic, na.rm = TRUE)),
                colour = gray_2,
                size = 2,
                alpha = 0.5) +
  labs(x = "Ic (-)")

plot_qc | hist_qc | hist_ic
_Plot of `qc` vs depth and histograms of `qc` and `Ic` for locations with and without `Gmax` measurements._

Plot of qc vs depth and histograms of qc and Ic for locations with and without Gmax measurements.

The gray line in the above plot shows the theoretical normal distribution of qc and Ic for all the data (with and without Gmax) and it can be used as a reference. It looks like the whole site is well covered with SCPT tests, except that maybe we have relatively less SCPTs in the deep layers (~ higher qc values).

The next graph shows that there is actually a “gap” in the SCPT measurements after the depth of 20m.

ggplot(data_all, aes(y = SCPT_DPTH)) +
  geom_histogram(alpha = 0.5, aes(x =..density.., fill = YES_NO)) +
  facet_wrap(~YES_NO, scales = "free_x", ncol = 2) +
  coord_cartesian(expand = c(0, 0), ylim = c(80, 0)) +
  scale_fill_manual(values = c(col_r, col_y)) +
  theme(legend.position = "none") +
  scale_y_reverse() +
  labs(x = "Density (quantity) of measurements")
_Distribution of measurements along the depth for locations with and without Gmax measurements._

Distribution of measurements along the depth for locations with and without Gmax measurements.

Now we prepare the data we are going to use for our models. Let’s first try to sync Gmax measurements to other CPTU measurements.

As mentioned in the section on seismic measurements, Vs and Gmax data represent discrete measurements over 0.5m thickness of the test point, i.e. these data don’t actually represent a point but some considerable soil volume. Since our aim is to find a relationship between Gmax and other parameters measured during a PCPT test, it makes sense to transform all parameters in such a way that each data point represents the properties of the ground for a thickness of 0.5m. In other words, for these parameters we have to somehow compute a moving average with a window of 0.5m (25 data points within one window).

# transform the data for syncing
data_corr_ml <- 
  data_corr %>%
  # correcting an unconsistency in depth data
  mutate(SCPT_DPTH = SCPT_DPTH * 100) %>%
  mutate(Depth = case_when(
    SCPT_DPTH %% 2 == 0 ~ round(SCPT_DPTH / 100, 1),
    SCPT_DPTH %% 2 != 0 ~ round((SCPT_DPTH + 1) / 100, 1)
  )) %>%
  mutate(SCPT_DPTH = SCPT_DPTH / 100) %>%
  # keeping relevant parameters
  select(-c(
    LOCA_NR,
    LOCA_NATE,
    LOCA_NATN,
    LOCA_FDEP,
    LOCA_WDEP,
    TYPE,
    LOCATION,
    SCPG_TESN,
    n,
    SV0,
    U0,
    Fr,
    SCPT_QT,
    SCPT_QNET,
    SCPT_PWP2
  )) %>%
  # moving average
    group_by(LOCA_ID) %>%
    mutate(
      SCPT_RES = round(slide_dbl(SCPT_RES, ~mean(.x), .before = 12, .after = 12), 4),
      SCPT_FRES = round(slide_dbl(SCPT_FRES, ~mean(.x), .before = 12, .after = 12), 4),
      SCPT_BQ = round(slide_dbl(SCPT_BQ, ~mean(.x), .before = 12, .after = 12), 4),
      UW = round(slide_dbl(UW, ~mean(.x), .before = 12, .after = 12), 4),
      SV0P = round(slide_dbl(SV0P, ~mean(.x), .before = 12, .after = 12), 4),
      Qtn = round(slide_dbl(Qtn, ~mean(.x), .before = 12, .after = 12), 4),
      Ic = round(slide_dbl(Ic, ~mean(.x), .before = 12, .after = 12), 4)
      ) %>%
    ungroup()

data_seis_ml <- 
  data_seis %>% rename(Depth = SCPT_DPTH)

# create ML models data
data_ml <- 
  data_seis_ml %>% 
  left_join(data_corr_ml, by = c("LOCA_ID", "Depth")) %>%
  distinct(LOCA_ID, Gmax, .keep_all = TRUE) %>%
  select(-c(LOCA_ID, Vs, SCPT_DPTH, LOCATION, TYPE)) %>%
  # few corrections
  fill(SCPT_FRES, UW, SV0P, Qtn, Ic, .direction = "down") %>%
  filter(Ic != "NaN")
  
func_tbl(data_ml)
Gmax Depth SCPT_RES SCPT_FRES SCPT_BQ UW SV0P Qtn Ic
59.4335 1.5 4.6501 42.0712 -0.0041 18.7152 12.9652 106.7916 1.8826
24.3470 2.5 4.7422 26.0039 -0.0352 18.9299 22.4336 87.8440 1.8002
69.2142 3.5 4.0227 25.6598 -0.0207 18.7621 30.9679 71.7999 1.9133
72.9922 4.5 7.4858 67.9980 0.0005 19.4758 43.1000 114.6508 1.8413
88.1149 5.5 10.1776 96.9640 0.0001 19.8479 54.8180 137.6407 1.7938
131.2674 6.5 8.2398 68.2256 -0.0261 19.5582 62.9617 103.7309 1.8444
98.8177 7.5 9.6092 105.8078 -0.0011 19.8167 74.6567 112.4808 1.9027
108.7968 8.5 9.9510 98.3581 -0.0036 19.8331 84.7968 107.8393 1.8860
99.3361 9.5 11.7670 91.9392 -0.0007 19.9693 96.1131 118.3072 1.7898
120.7267 10.5 13.8898 119.3375 -0.0010 20.1869 108.5422 130.2016 1.7839
133.9468 11.5 15.5704 106.5016 -0.0196 20.2142 119.2480 137.4440 1.7123
134.2937 12.5 23.1298 174.9552 -0.0009 20.7153 135.8870 192.6460 1.6200
267.8288 13.5 24.2739 198.5845 -0.0011 20.8058 147.9982 191.5250 1.6462
190.7619 14.5 23.0603 190.2916 -0.0010 20.7552 158.2706 173.2083 1.6791
152.4686 15.5 23.6262 187.0072 -0.0009 20.7603 169.3032 169.8332 1.6753
220.1252 16.5 33.0621 250.5914 -0.0028 21.1167 185.8820 228.9997 1.5655
289.2411 17.5 34.3040 268.0275 -0.0043 21.1716 198.1388 227.0027 1.5795
203.5156 18.6 23.7687 210.6994 -0.0038 20.8249 204.4406 146.5749 1.7553
159.6885 19.5 20.6980 179.4586 -0.0022 20.6534 210.7988 122.8484 1.8067
249.0662 21.0 32.3768 252.2162 -0.0025 21.1099 236.8456 184.8754 1.6417
249.6167 22.4 45.3239 313.0618 -0.0031 21.4079 259.3305 252.7901 1.5063
242.6465 23.1 44.9213 284.7651 -0.0030 21.3421 265.9235 247.4560 1.4841
34.3002 1.5 23.7226 121.9929 -0.0001 20.5749 15.7240 357.6059 1.3046
68.0265 2.5 20.2697 133.5469 -0.0002 20.5097 26.3223 306.9982 1.4307
89.3734 3.5 22.5044 130.0773 0.0000 20.5692 37.2256 307.6228 1.3890
156.6271 4.5 17.1247 111.6582 -0.0002 20.2775 46.6465 228.8674 1.5378
59.3580 5.5 2.6662 57.1022 0.0300 17.9632 44.5415 47.5396 2.3853
64.7894 6.5 3.3030 55.8459 -0.0386 18.3213 54.9907 48.6454 2.3180
82.9262 7.5 2.8716 65.8256 -0.0366 18.0260 61.3036 40.0963 2.4695
99.0368 8.5 2.2917 53.8690 0.1201 17.8337 67.8739 31.5919 2.5320
109.1494 9.5 2.5253 48.1976 0.1246 17.9654 77.1553 30.9847 2.4876
99.8577 10.5 3.5749 71.6992 -0.0005 18.4444 90.3418 36.9852 2.4551
99.9389 11.5 5.3154 64.9650 -0.0476 19.0097 105.3944 48.3138 2.2377
110.1417 12.5 5.5382 65.7036 -0.0201 19.1094 115.8533 47.3308 2.2280
110.2182 13.5 7.3021 82.3035 -0.0008 19.4711 130.0213 58.3019 2.1385
110.2086 14.5 8.1978 90.1296 0.0004 19.6245 141.9247 61.4687 2.1091
215.5209 15.5 11.6758 117.4964 0.0002 20.0356 158.0865 82.6845 1.9820
216.4633 16.5 2.7658 121.4754 0.0748 17.8108 131.5795 19.2692 2.8757
100.8882 17.5 7.3571 140.5481 -0.0622 19.2327 164.4025 45.6341 2.4506
156.0690 18.5 14.9121 200.2026 0.0002 20.3728 194.7500 89.4748 2.0617
288.5758 19.5 25.8114 250.7255 -0.0002 20.9750 217.0480 151.9083 1.7695
288.5349 21.0 28.3949 262.6784 -0.0001 21.0573 235.7577 157.8174 1.7440
403.0469 22.4 37.7783 359.3725 -0.0003 21.4166 259.5227 199.2672 1.6786
49.0945 1.5 5.2448 37.5701 0.0005 18.9929 13.3542 112.2636 1.7943
45.8960 2.5 4.6678 41.2507 0.0006 18.8988 22.3916 95.1783 1.8995
62.7578 3.5 5.8607 62.9487 0.0007 19.1790 32.3878 105.2324 1.9220
72.5458 4.5 4.2402 51.9290 0.0014 18.7797 39.9806 73.1468 2.0792
70.8966 5.5 4.3490 53.5973 0.0016 18.8219 49.2056 67.2042 2.1077
71.8885 6.5 3.8483 62.9218 0.0000 18.6289 56.9521 55.9097 2.2476
119.0501 7.5 4.0014 197.5705 0.0426 18.5495 65.1781 56.9334 2.5670
79.5637 8.5 2.6787 89.8945 0.1997 18.0091 69.3813 37.9461 2.5511
170.2655 9.5 27.4877 265.4300 0.0001 21.0437 106.2816 263.4874 1.5984
225.3408 10.5 27.7719 283.9186 0.0001 21.0910 117.9965 251.3258 1.6323
157.3577 11.5 34.5284 354.9089 0.0000 21.3614 132.3811 294.1442 1.5894
147.2619 12.5 34.0945 344.2132 0.0000 21.3370 143.6310 276.5388 1.6007
222.8399 13.5 29.6356 309.9192 0.0000 21.1769 152.9885 229.0208 1.6715
121.5056 14.5 22.1644 243.8926 0.0001 20.8589 159.7713 162.6312 1.7863
169.0422 15.5 30.2787 307.3704 0.0000 21.1939 175.9943 212.7441 1.6788
169.1009 16.5 22.9218 267.2932 -0.0001 20.9346 182.8839 151.5365 1.8253
150.8782 17.5 26.4654 269.5689 0.0001 21.0329 195.7305 169.4850 1.7492
100.6942 18.5 27.5108 281.1793 0.0001 21.0821 207.8623 168.3445 1.7526
135.1266 19.5 27.7355 312.6562 -0.0001 21.1466 220.3678 160.3591 1.7988
150.7020 21.0 29.7512 304.5440 0.0000 21.1780 238.2756 163.2983 1.7627
150.7841 22.5 8.4894 101.5637 0.0539 19.4616 216.8696 42.6005 2.3403
206.3337 24.0 22.3640 218.3195 -0.0011 20.8061 263.4683 107.8369 1.8843
110.8037 25.5 17.1827 159.1684 0.0003 20.4691 271.3824 77.5578 1.9826
193.6036 27.0 20.6120 178.2000 0.0001 20.6508 292.2645 89.2074 1.9161
150.8889 28.5 22.5397 171.0136 -0.0027 20.6700 309.1110 94.1861 1.8664
203.7604 30.0 19.5572 168.9408 0.0002 20.5912 323.0091 74.8851 1.9772
253.3832 31.5 23.5958 185.7389 -0.0003 20.7555 344.3313 87.8583 1.9000
226.5625 33.0 27.5696 222.4335 -0.0005 20.9503 367.1898 97.6686 1.8656
184.2822 34.5 23.5588 211.1030 -0.0012 20.8188 379.3506 76.5823 1.9824
206.4635 36.0 21.0008 191.9874 0.0001 20.7041 391.7648 63.6707 2.0523
173.4857 37.5 12.8982 121.8695 -0.0084 20.1372 386.8585 35.2081 2.2771
260.8986 39.0 21.6497 257.5035 -0.0280 20.8591 430.4860 55.2524 2.1666
276.8295 40.4 28.2133 195.2344 -0.0133 20.8841 446.7253 79.2343 1.9055
264.7636 42.0 25.7795 191.9655 -0.0095 20.8181 461.8998 67.1377 1.9766
249.3616 43.5 29.1523 191.9655 -0.0089 20.8181 461.8998 67.1377 1.9766
81.3864 15.5 16.2120 127.2218 -0.0043 20.2586 161.5959 116.1830 1.8130
189.7460 16.5 25.5622 213.6983 -0.0006 20.8802 181.9932 174.9484 1.6798
150.7750 17.5 21.6142 195.6571 -0.0003 20.7254 190.3586 139.9942 1.7756
168.9925 18.5 15.3326 150.4898 0.0001 20.3538 194.4196 93.6893 1.9331
190.6542 19.5 20.4869 186.6774 -0.0002 20.6564 210.8772 120.8824 1.8313
249.1346 21.0 42.9940 312.0923 -0.0015 21.3714 242.3119 251.6332 1.5136
217.3819 22.5 49.1268 335.7208 -0.0037 21.4856 262.2284 274.6874 1.4753
249.1697 24.0 21.0291 170.2413 -0.0015 20.6282 259.1809 103.9591 1.8503
190.9413 25.5 28.2695 228.3676 -0.0007 20.9595 283.8413 133.6992 1.7656
217.3576 27.0 22.9289 192.3451 0.0000 20.7545 295.0551 100.5214 1.8613
249.2252 27.8 32.9992 192.3451 -0.0001 20.7545 295.0551 100.5214 1.8613
31.8807 1.5 6.0052 34.5920 0.0002 19.1658 13.6869 117.7599 1.7137
57.4813 2.5 6.6618 43.2877 -0.0088 19.3060 23.3611 120.1000 1.7343
79.9428 3.5 9.1045 147.2663 -0.0040 19.8165 34.6321 157.4028 1.8918
62.3486 4.5 11.6786 77.3862 0.0002 19.9152 45.0764 163.7162 1.6338
88.2042 5.5 13.5751 100.7708 0.0002 20.1136 56.2576 175.4082 1.6426
69.9413 6.5 13.4038 117.9726 0.0002 20.1512 66.7949 162.8763 1.7173
94.7849 7.5 11.7684 102.0163 0.0002 19.9974 75.8960 134.8826 1.7737
76.7410 8.5 6.8862 63.9253 -0.0006 19.3826 80.8778 77.0520 1.9842
99.5202 9.5 7.2654 55.4007 0.0003 19.4214 90.8421 75.3153 1.9431
133.6348 10.5 8.9051 67.4282 0.0001 19.6515 102.8443 85.6036 1.8947
149.4708 11.5 19.9212 142.4484 -0.0014 20.5157 122.5646 175.7999 1.6373
120.7423 12.5 10.9289 80.8408 0.0000 19.8748 125.3113 92.7264 1.8608
113.9154 13.5 19.0157 135.7888 -0.0006 20.4728 143.4124 151.8136 1.6815
150.1022 14.5 15.6884 116.5281 -0.0007 20.2707 151.1464 119.1154 1.7767
134.8694 15.5 24.4379 173.0136 -0.0028 20.7427 168.9238 177.3114 1.6283
150.9378 30.0 11.5290 106.0913 0.0004 19.9998 305.2923 42.2231 2.2023
168.7635 31.5 8.9085 82.5336 0.0004 19.6843 310.6179 30.1181 2.3362
111.0846 33.0 6.4340 55.8446 0.0010 19.3175 313.3691 19.9129 2.4776
190.9054 34.5 9.8727 95.0104 0.0006 19.8272 345.2079 29.5444 2.3488
289.4326 36.0 14.2510 151.0795 -0.0001 20.2792 376.4716 41.6413 2.2406
191.0376 37.5 18.3101 145.6029 -0.0044 20.4764 399.5592 53.2332 2.0808
151.0453 39.0 16.5269 124.3730 -0.0003 20.3471 410.5260 45.4099 2.1274
150.9881 40.5 14.2215 134.1737 -0.0108 20.2405 422.0344 34.9885 2.2843
249.5698 42.0 14.9753 156.1348 -0.0081 20.2096 436.4046 36.2253 2.3445
253.4694 43.5 8.3910 130.7127 -0.0162 19.6825 429.0233 17.7318 2.6725
298.9040 45.0 9.9432 104.3696 -0.0250 19.7101 445.1704 21.0471 2.5596
268.7162 46.5 17.0705 145.3450 -0.0018 20.4289 493.3544 35.2988 2.2524
339.9621 48.0 26.2054 202.0019 -0.0018 20.8700 530.4409 54.9185 2.0623
217.2417 49.5 21.8349 179.1871 -0.0013 20.6948 538.3572 42.0440 2.1781
313.4562 51.0 35.3354 246.5328 -0.0100 21.1380 577.2796 71.0525 1.9441
217.7610 52.5 23.5652 142.6150 -0.0123 20.6319 567.7222 44.0565 2.0927
97.5032 1.5 19.9771 122.9661 -0.0002 20.4630 15.5709 324.5858 1.3933
110.5100 2.5 26.2990 179.9102 -0.0004 20.8067 27.0467 388.9560 1.3754
100.4590 3.5 13.0956 89.2421 0.0000 20.0450 35.4301 195.2556 1.5802
111.7380 4.5 17.3624 148.7193 0.0001 20.4431 47.4222 237.5801 1.5907
116.4142 5.5 19.6478 185.6014 0.0000 20.6285 59.0820 247.8343 1.6099
118.7287 6.5 19.5172 189.3094 0.0000 20.6366 69.9438 229.9917 1.6401
143.0190 7.5 21.3486 216.4243 -0.0005 20.7649 81.7312 233.8569 1.6504
137.3313 8.5 18.4580 196.6550 0.0000 20.6136 91.4004 191.5580 1.7251
143.6352 9.5 21.0000 205.2877 -0.0004 20.7264 103.2632 203.9164 1.6805
160.8317 10.5 17.9243 198.3381 -0.0011 20.5960 112.8291 164.5273 1.7833
124.3309 11.5 15.2966 188.4097 -0.0004 20.4456 121.8784 132.7591 1.8833
142.5334 12.5 10.9575 144.9216 -0.0093 20.0174 127.1657 90.4791 2.0308
113.9154 13.5 10.4882 102.2522 -0.0001 19.8965 135.7585 83.2088 1.9709
131.1068 14.5 10.0564 109.8600 -0.0007 19.8731 145.5065 75.0451 2.0385
92.1298 15.5 10.8456 123.8921 0.0003 19.9817 157.2679 76.1770 2.0438
135.0202 16.5 10.2579 84.3002 0.0000 19.8260 164.6552 70.0528 1.9895
110.6689 17.5 6.1023 69.2341 0.0007 19.2652 164.8943 38.8115 2.2834
138.3385 18.5 6.8420 66.8773 0.0005 19.3873 176.6168 41.5519 2.2231
100.6789 19.5 8.2477 76.8750 0.0004 19.6047 190.4143 47.8257 2.1587
121.8357 21.0 9.0534 79.2719 0.0003 19.6916 207.1378 49.0757 2.1394
191.1984 22.5 9.0749 81.2397 0.0003 19.7080 222.3177 45.7201 2.1669
190.5466 24.0 13.8709 107.4444 0.0002 20.1550 247.8741 67.5187 1.9886
101.1214 25.5 8.3552 94.5640 0.0004 19.6611 250.8076 35.6825 2.3136
135.5005 27.0 8.0368 90.5255 0.0005 19.6130 264.2856 32.0139 2.3529
169.0314 28.5 12.7826 114.2394 0.0002 20.1048 292.9774 50.3918 2.1315
143.0298 30.0 11.6284 95.3179 0.0003 19.9745 304.5406 43.2637 2.1678
154.5160 31.5 14.5221 95.3179 0.0001 19.9745 304.5406 43.2637 2.1678
99.7299 1.5 16.0517 79.6577 -0.0001 20.1670 15.1375 251.3396 1.4061
121.0839 2.5 18.9004 108.0141 0.0000 20.3829 26.0151 281.2156 1.4139
81.7722 3.5 14.8260 101.8380 0.0001 20.1788 35.8616 218.0984 1.5522
85.5211 4.5 6.7962 52.5124 -0.0021 19.3295 42.4841 103.6065 1.8356
68.8852 5.5 9.8461 95.0684 -0.0057 19.7992 54.5490 133.4935 1.8113
89.3727 6.5 9.7785 105.2619 -0.0015 19.8172 64.6178 123.4419 1.8688
74.4530 7.5 6.7402 71.1353 -0.0016 19.3566 71.2493 81.3806 1.9998
83.2384 8.5 4.5817 46.8512 0.0018 18.9008 76.9177 53.2968 2.1407
53.4435 9.5 9.3602 141.3272 -0.0131 19.8265 94.7959 94.1220 2.0431
109.0977 10.5 7.2647 84.4252 -0.0396 19.4259 100.5593 69.4186 2.0850
95.4366 11.5 7.6573 87.1629 -0.0050 19.5401 111.5177 68.9188 2.0748
77.6267 12.2 6.5415 66.9394 -0.0198 19.3205 115.6464 56.6491 2.1154
56.5051 12.5 7.5644 63.0841 -0.0295 19.4617 120.2740 63.8960 2.0282
80.6549 13.5 8.5847 87.2114 -0.0052 19.6626 132.5254 68.2659 2.0502
71.9451 14.5 9.2649 102.1534 -0.0010 19.7768 144.0218 69.2434 2.0680
94.8113 15.5 8.3816 93.8025 -0.0056 19.6516 152.0471 59.2076 2.1284
100.6564 16.5 16.1311 129.8951 -0.0071 20.3146 172.8203 110.1895 1.8350
168.6864 17.5 24.6272 164.1959 -0.0015 20.7269 190.4948 164.6285 1.6354
168.7593 18.5 22.7740 154.8149 -0.0013 20.6500 199.9938 145.2526 1.6836
121.9083 19.5 17.4424 130.3404 -0.0071 20.3920 205.8228 104.4863 1.8235
92.3672 21.0 11.6921 79.5312 -0.0003 19.9317 212.0518 65.3279 1.9684
78.0342 22.5 9.4562 60.6750 -0.0003 19.6926 221.8683 49.1336 2.0626
99.2858 24.0 9.2365 65.8236 -0.0001 19.6858 236.5357 44.3960 2.1251
135.4255 25.5 19.1188 131.1308 -0.0001 20.4673 271.2341 90.3178 1.8524
239.3520 27.0 25.3029 197.4485 -0.0044 20.8086 296.4194 113.8148 1.8168
190.9878 28.5 22.9223 172.3248 -0.0002 20.6990 309.7989 96.1809 1.8540
223.4874 30.0 27.4699 217.4909 -0.0036 20.9294 333.0151 109.1655 1.8255
239.4079 31.4 34.9556 246.4174 -0.0029 21.1382 355.1437 136.9591 1.7128
249.5782 32.9 30.7288 145.6142 -0.0126 20.7956 360.8944 120.0501 1.6670
289.4090 34.5 30.4552 157.1533 -0.0031 20.8356 379.8396 111.3204 1.7073
239.4498 36.0 27.9628 138.2590 -0.0024 20.7305 392.5881 96.8392 1.7480
229.7132 37.0 20.0545 138.2590 -0.0034 20.7305 392.5881 96.8392 1.7480
27.8220 1.5 2.1774 27.8778 0.0130 17.3501 11.1095 66.5963 2.1843
67.3852 2.5 12.6098 69.4233 -0.0001 19.9334 24.9299 197.3994 1.5258
42.4219 3.5 4.9410 49.1307 0.0008 18.9136 31.4396 90.2437 1.9642
55.6123 4.5 2.7939 25.7175 0.0015 18.3191 37.9569 50.2709 2.1339
68.7943 5.5 4.9996 44.1036 0.0006 18.9978 50.1466 73.8177 1.9877
81.9356 6.5 5.2988 50.1860 0.0007 19.0754 59.8536 71.3444 2.0160
64.9591 7.5 4.5000 44.9389 0.0009 18.8791 67.6465 56.8936 2.1113
108.8514 8.5 3.3156 36.9263 0.0019 18.4979 73.5094 39.9917 2.2662
166.8324 9.5 5.2483 45.4285 -0.0017 19.0456 87.3480 55.7358 2.0897
133.7541 10.5 8.6090 83.0872 0.0000 19.6574 103.0022 82.5830 1.9704
123.0854 11.5 9.0885 81.9675 -0.0006 19.7082 113.4348 81.7266 1.9565
100.2470 12.5 14.7118 122.7579 -0.0041 20.2197 129.7403 122.7201 1.8022
122.0257 13.5 19.4178 177.0561 -0.0081 20.5985 145.2184 151.9649 1.7511
134.6520 14.5 22.0459 194.3751 -0.0028 20.7350 157.9742 164.6527 1.7150
152.4686 15.5 23.3454 195.5410 -0.0032 20.7758 169.5327 166.8644 1.6957
168.5235 16.5 18.8800 143.9316 -0.0005 20.4927 175.6200 129.9859 1.7517
181.7412 17.5 26.3808 183.5522 -0.0011 20.8200 192.0124 175.9553 1.6250
168.7393 18.5 20.9155 149.9166 -0.0037 20.5798 198.6021 132.3030 1.7313
168.6093 19.5 24.8559 165.7835 -0.0013 20.7338 212.3481 152.7045 1.6605
168.8584 21.0 21.5641 149.0422 -0.0002 20.6025 226.2218 123.0979 1.7457
216.9117 22.5 24.0741 149.0422 -0.0008 20.6025 226.2218 123.0979 1.7457
133.9553 1.5 13.1198 41.7679 0.0001 19.8058 14.6335 188.6343 1.4221
119.8845 2.5 40.6728 128.3220 -0.0001 20.8947 27.2776 495.8776 1.0580
107.9582 3.5 45.0276 166.3537 -0.0001 21.0543 38.7837 542.5183 1.0766
98.8543 4.5 37.8908 162.6012 0.0000 20.9652 49.6414 453.4198 1.1791
89.0455 5.5 36.8256 166.6260 0.0000 20.9614 60.7751 424.6174 1.2155
109.3549 6.5 31.3034 179.2835 -0.0002 20.8913 71.4640 350.8825 1.3546
107.0022 7.5 30.2520 166.8242 0.0000 20.8553 82.2905 323.3678 1.3605
98.4727 8.5 35.3402 179.2104 -0.0001 20.9735 94.3256 357.9219 1.3041
97.7887 9.5 8.6279 74.9942 0.0003 19.5317 91.8107 88.5396 1.9576
99.4358 10.5 4.2186 41.3320 0.0006 18.8040 93.9746 42.4686 2.2148
104.4717 11.5 10.9887 82.2758 0.0000 19.8753 115.2653 98.5508 1.8457
100.0874 12.5 16.6532 110.0625 -0.0010 20.2962 130.5698 140.4892 1.6878
109.9358 13.5 17.6814 119.7936 -0.0005 20.3715 142.0660 141.6232 1.6920
123.3160 14.5 23.3024 149.5345 -0.0015 20.6475 156.6162 178.3437 1.5980
121.5740 15.5 17.3502 114.7078 -0.0019 20.3430 162.7456 126.3030 1.7241
128.5243 16.5 23.6034 150.6072 -0.0065 20.6558 178.4136 165.0439 1.6241
121.8094 17.5 18.9932 146.7668 -0.0022 20.5008 186.5665 124.5015 1.7718
121.9908 18.5 18.0637 136.7681 -0.0010 20.4412 196.1532 113.3036 1.7976
122.1584 19.5 22.3565 170.9458 -0.0010 20.6825 211.4669 134.8394 1.7418
135.2403 21.0 28.4393 198.9315 -0.0027 20.9069 232.4784 163.8923 1.6501
168.7476 22.8 28.9794 198.9315 -0.0029 20.9069 232.4784 163.8923 1.6501
127.7356 1.5 11.6323 67.2798 0.0001 19.8547 14.6620 201.1118 1.5341
150.2792 2.5 28.6194 164.4991 0.0000 20.8173 27.0856 405.5055 1.3052
108.0018 3.5 30.1529 181.3575 0.0000 20.8910 38.3379 401.4453 1.3237
79.1713 4.5 23.2310 198.4356 -0.0002 20.7781 48.9230 308.0356 1.5147
105.1396 5.5 2.2524 54.0533 0.2776 17.9209 44.2987 45.4393 2.3854
107.3442 6.5 2.8304 87.1986 0.4084 18.3061 54.8993 52.4260 2.4005
90.0083 7.5 3.0391 113.6510 0.2897 18.2789 63.1782 48.6723 2.4996
120.5561 9.5 1.5446 85.0950 0.3032 16.4052 62.2990 25.5690 2.8338
83.7873 10.5 1.9698 88.5733 0.4226 17.3691 79.0477 27.6120 2.7292
134.1177 11.5 2.9996 126.1603 0.5120 18.4339 98.7526 36.4496 2.5984
149.7530 12.5 7.0078 182.4151 0.0554 19.5244 120.9790 59.2320 2.3689
134.6720 13.5 6.0806 239.0592 0.1557 19.5342 130.7936 49.5006 2.5296
100.4986 14.5 8.2939 180.2037 0.0571 19.7645 143.8667 61.4080 2.3007
150.0235 15.5 8.7332 135.5839 0.0387 19.6945 152.7484 62.0946 2.1988
69.5948 1.5 14.3567 72.7095 0.0000 20.0634 14.9746 230.9091 1.4421
109.2413 2.5 9.9826 97.3616 0.0002 19.8296 24.6427 180.1289 1.7152
98.3462 3.5 7.9848 79.3784 -0.0007 19.5676 33.7645 134.6538 1.8129
71.2392 4.5 8.3154 87.7296 -0.0005 19.6285 43.7918 127.1118 1.8494
96.2132 5.5 10.2516 106.2444 0.0002 19.8814 54.9922 139.3598 1.8146
97.8513 6.5 11.2070 115.0016 -0.0001 19.9874 65.7536 139.1850 1.8126
110.8330 7.5 14.6562 134.0634 0.0001 20.2699 78.0421 164.9613 1.7253
133.0579 8.5 18.8337 170.8287 -0.0002 20.5634 90.9741 195.5307 1.6686
109.2321 9.5 14.2738 119.0925 -0.0001 20.2053 98.3511 141.8381 1.7489
124.2101 10.5 17.6404 165.9034 0.0000 20.5012 111.8201 163.2205 1.7361
140.8887 11.5 21.6336 213.5074 -0.0001 20.7688 125.5989 187.2653 1.7081
200.4483 12.5 25.2506 268.6202 -0.0002 20.9900 139.2820 205.5566 1.7065
121.4045 13.5 18.3461 193.9953 -0.0002 20.6017 145.2455 142.7924 1.8149
136.7077 14.5 11.8992 124.8765 0.0001 20.0605 148.2011 88.7218 1.9726
132.5272 15.5 14.9208 146.4912 0.0000 20.3221 162.5126 105.5742 1.8918
152.5243 16.5 15.2321 158.3008 0.0001 20.3663 173.5424 102.0938 1.9205
165.2363 17.5 10.8272 139.2354 0.0001 20.0182 178.0375 67.8035 2.1175
154.3140 18.5 16.4618 145.1416 -0.0001 20.3962 195.2043 101.7218 1.8753
167.2389 19.5 15.9083 136.9290 0.0000 20.3463 204.8348 93.9760 1.8968
168.6959 21.0 17.7106 136.9477 -0.0007 20.4134 222.2580 99.2378 1.8564
168.8376 21.6 21.3799 149.9063 -0.0008 20.5614 231.8422 118.8869 1.7845
51.3907 1.5 9.5955 86.0083 -0.0005 19.7643 14.5423 192.9567 1.6656
68.3340 2.5 7.2624 72.0580 0.0006 19.4513 23.7130 139.2163 1.8016
69.0022 3.5 9.0898 83.5398 -0.0009 19.7024 34.2395 148.5967 1.7595
72.9319 4.5 7.7602 90.8258 -0.0002 19.5597 43.4768 121.0102 1.8957
59.6969 5.5 11.6610 108.6725 0.0001 20.0072 55.6773 155.2309 1.7488
97.3506 6.5 9.7842 109.5301 0.0001 19.8329 64.7282 123.7511 1.8793
107.7970 7.5 14.7058 115.7345 -0.0003 20.2231 77.6798 165.2229 1.6795
109.1373 8.5 15.5408 118.8114 -0.0001 20.2747 88.5300 163.4303 1.6748
133.4358 9.5 13.3942 112.8555 0.0001 20.1360 97.6850 133.6282 1.7703
109.3621 10.5 13.6251 105.0548 0.0001 20.1305 107.9571 128.2197 1.7585
167.5578 11.5 12.0601 101.9445 0.0002 20.0185 116.9868 107.4134 1.8444
134.3200 12.5 16.1706 126.0588 -0.0039 20.3187 130.9395 135.3414 1.7486
168.1218 13.5 20.3494 143.7965 -0.0010 20.5409 144.4420 162.3694 1.6569
189.9239 14.5 20.3986 142.5828 -0.0005 20.5391 155.1562 155.1700 1.6692
190.1608 15.5 26.7504 176.2470 -0.0006 20.8026 169.9601 195.7016 1.5818
216.4468 16.1 43.8854 176.2470 -0.0019 20.8026 169.9601 195.7016 1.5818
54.4267 1.5 4.4186 34.7340 0.0011 18.8604 13.2148 101.1957 1.8426
36.6677 2.5 3.3139 20.6606 -0.0297 18.5489 21.4899 67.9991 1.9295
50.9208 3.5 4.0874 26.3256 -0.0018 18.7672 31.0192 73.1750 1.9146
51.3082 4.5 5.3430 38.3478 0.0009 19.0759 41.3250 84.1868 1.8860
88.2802 5.5 6.1700 44.7634 0.0005 19.2367 51.4753 87.2488 1.8743
77.1576 6.5 12.6999 88.0536 -0.0005 20.0203 65.9650 153.6355 1.6675
107.7179 7.5 30.8170 210.5786 -0.0005 20.9741 83.3044 328.9901 1.4188
105.0078 8.5 17.1100 165.4163 -0.0026 20.4633 90.1072 178.5977 1.7212
91.1455 9.6 31.1841 221.5844 -0.0005 21.0144 107.1156 298.8050 1.4636
97.9317 10.6 14.0821 119.7641 0.0003 20.1996 109.7099 131.2715 1.7774
101.6300 11.5 14.4778 124.5535 0.0003 20.2369 119.4965 127.9592 1.7890
101.7119 12.5 21.3010 172.1086 -0.0005 20.6511 135.0918 176.9959 1.6673
99.0430 13.5 20.2619 160.7068 0.0002 20.5813 144.9808 160.5659 1.6922
107.6335 14.5 24.8767 187.3381 -0.0002 20.7928 158.8074 188.3256 1.6255
149.1197 15.5 15.9421 131.8713 0.0004 20.3328 162.6804 114.2933 1.8176
136.8133 16.5 24.3007 196.6044 -0.0024 20.7925 180.5414 167.0214 1.6864
114.0793 17.5 39.3318 267.5085 -0.0009 21.2448 199.4267 265.5147 1.4859
147.6127 18.5 31.0905 203.1956 -0.0011 20.9578 205.5464 201.2037 1.5650
163.3957 19.5 11.7888 114.3195 0.0002 20.0357 198.7902 68.5302 2.0377
102.9176 20.5 18.6340 136.0338 -0.0001 20.4572 217.6180 107.6894 1.8069
223.3525 22.0 40.1505 244.8546 -0.0028 21.2005 250.1359 230.1025 1.4995
112.0150 23.5 9.3498 141.2041 -0.0300 19.7690 233.6466 42.7203 2.3570
179.7501 25.0 17.7926 129.7631 -0.0005 20.4066 264.5023 84.7484 1.8931
214.6529 26.4 28.7226 214.8393 0.0001 20.9520 293.7132 132.6431 1.7406
154.4823 28.0 22.6893 194.7254 -0.0038 20.7543 305.9908 94.8615 1.8920
158.0268 29.5 18.2637 194.7254 -0.0012 20.7543 305.9908 94.8615 1.8920
99.0631 1.5 23.8907 100.8863 0.0000 20.4744 15.6080 341.0807 1.2773
118.6281 2.5 38.5135 174.3542 -0.0001 20.9973 27.5121 506.5548 1.1666
116.0749 3.5 31.1297 194.2453 0.0000 20.9357 38.4793 415.3862 1.3297
149.6384 4.5 32.1933 180.0168 0.0000 20.9263 49.5863 399.2997 1.3004
143.8433 5.5 34.6270 209.3485 0.0001 21.0420 61.3294 407.2306 1.3209
140.8458 1.5 24.9972 85.2489 0.0000 20.4569 15.5761 334.0758 1.2181
120.5773 2.5 44.0798 150.5185 -0.0001 20.9922 27.5166 538.0652 1.0490
32.3721 1.5 12.8052 98.9714 0.0002 20.0580 14.9704 236.0058 1.5596
76.0590 2.5 11.5125 92.6831 0.0003 19.9505 24.9495 196.1986 1.6300
79.9508 3.5 12.3412 96.5867 0.0003 20.0157 35.3298 188.9790 1.6353
83.0075 4.5 12.2303 99.3636 0.0003 20.0222 45.5437 173.6188 1.6722
95.4552 5.5 16.2814 126.9405 0.0002 20.3313 57.4605 206.9612 1.6047
81.7330 6.5 38.0850 206.7754 0.0001 21.0977 72.9285 421.1624 1.2794
180.0044 7.5 35.8855 211.4648 -0.0005 21.0481 83.8181 380.4339 1.3388
148.1618 8.5 38.5260 243.3863 0.0001 21.1851 96.2350 387.6065 1.3496
166.7184 9.4 41.1968 258.5466 0.0000 21.2489 107.0661 396.5502 1.3411
149.0879 10.5 41.3852 237.4466 -0.0001 21.1966 119.1101 380.4622 1.3221
189.3167 11.5 36.2276 232.8845 -0.0003 21.1242 129.6606 317.3755 1.4136
100.0851 12.5 32.3934 212.8010 0.0001 21.0154 139.6274 271.1265 1.4692
168.8896 13.5 33.5527 232.5824 0.0003 21.0827 151.7247 267.5379 1.4896
110.2211 14.5 16.4397 155.7317 0.0001 20.4204 153.4372 122.5950 1.8321
84.4087 15.5 16.3475 119.4718 0.0001 20.3158 162.4258 118.2190 1.7738
100.4016 16.5 11.0359 105.3128 0.0002 19.9528 166.7426 74.5749 2.0042
83.4689 17.5 11.4396 124.4866 0.0003 20.0359 178.3435 72.6480 2.0480
97.4497 18.5 9.6055 94.1302 0.0003 19.7931 184.0776 58.4896 2.0983
84.6955 19.5 8.2097 79.1182 0.0007 19.6062 190.4343 47.5050 2.1691
135.4961 21.0 10.4234 92.1555 0.0004 19.8663 210.7719 56.7032 2.0844
110.7809 22.5 13.8605 119.6653 0.0002 20.1883 233.0843 71.2226 1.9970
149.3513 23.4 14.6548 119.6653 0.0002 20.1883 233.0843 71.2226 1.9970
97.3052 1.5 10.0480 79.0952 0.0001 19.7898 14.5699 194.1494 1.6264
68.1141 2.5 12.5047 100.5273 0.0000 20.0439 25.1732 210.3733 1.6078
89.7006 3.5 11.8109 95.2303 0.0001 19.9807 35.1921 182.9010 1.6530
66.9102 4.5 12.7316 102.8478 0.0001 20.0651 45.7309 179.7636 1.6595
96.7103 5.5 20.3874 156.6526 0.0000 20.5718 58.7821 253.3064 1.5392
97.5755 6.5 32.4825 181.8850 0.0000 20.9386 71.8968 363.2326 1.3298
147.6158 7.5 25.7766 158.9178 0.0000 20.7388 81.5282 278.1799 1.4411
132.9818 8.5 38.3724 227.4134 0.0002 21.1402 95.8524 386.5782 1.3298
220.5005 30.0 28.9351 252.4034 0.0000 21.0491 336.7232 113.5281 1.8351
214.7059 31.5 22.9618 214.7274 -0.0020 20.8131 346.1492 82.7830 1.9642
260.8548 33.0 26.6232 215.4157 0.0000 20.9114 365.8954 94.0636 1.8803
214.7323 34.5 17.1690 198.5208 0.0021 20.3965 364.7475 54.0821 2.2529
226.5897 36.0 17.6000 170.9419 -0.0045 20.5021 384.4784 52.4425 2.1365
253.4407 37.5 7.5425 151.7607 -0.0585 19.5700 365.5993 18.5086 2.7189
289.7481 39.0 5.9043 134.4192 0.1175 19.3063 370.0312 14.7689 2.8188
285.3533 40.5 26.7042 166.2080 -0.0097 20.7775 443.7467 75.5881 1.8952
253.4551 42.0 27.9606 198.2646 -0.0004 20.8933 465.0678 73.8960 1.9389
340.0752 42.9 29.4440 198.2646 -0.0013 20.8933 465.0678 73.8960 1.9389
65.5416 1.5 8.2811 71.3724 0.0001 19.5843 14.2831 169.4955 1.6955
73.1572 2.5 9.6114 87.7154 0.0002 19.7723 24.5066 172.6461 1.7080
69.6460 3.5 8.9377 84.2537 0.0001 19.6905 34.1760 147.1990 1.7698
72.3845 4.5 6.3106 54.8700 -0.0002 19.2655 42.1887 98.5336 1.8822
96.2511 5.5 12.6239 111.4455 0.0001 20.0844 56.1001 166.0482 1.7112
97.4172 6.5 10.9049 100.8418 0.0001 19.9235 65.3368 135.3460 1.7914
118.9415 7.5 14.6307 130.0611 0.0000 20.2585 77.9545 164.6622 1.7165
108.8583 8.5 15.4701 143.6236 0.0000 20.3415 89.0973 162.6141 1.7334
108.8912 9.5 14.9237 132.0958 0.0000 20.2817 99.0603 147.8803 1.7501
91.3358 10.5 12.9241 120.5075 0.0001 20.1313 107.9621 121.3328 1.8302
100.3290 11.5 13.3402 120.7896 0.0000 20.1592 118.6000 118.0422 1.8313
100.2415 12.5 11.7749 107.6336 -0.0002 20.0145 127.1568 98.7523 1.8951
110.1105 13.5 14.6804 127.3705 0.0000 20.2555 140.5889 116.2785 1.8250
121.5804 14.5 15.9415 133.2654 0.0000 20.3374 152.2232 120.0147 1.8037
135.0352 15.5 20.7663 166.0360 -0.0001 20.6210 167.1454 149.1537 1.7186
134.8451 16.5 17.5898 140.3811 -0.0002 20.4323 174.6328 120.5494 1.7899
134.8286 17.5 22.5235 172.0363 -0.0001 20.6949 189.8359 148.4101 1.7075
150.4782 18.5 23.1920 183.5882 -0.0001 20.7426 201.5944 145.7759 1.7236
142.8894 19.5 23.1000 186.7554 -0.0001 20.7485 212.6463 138.6272 1.7462
138.4022 21.0 21.6671 180.1013 -0.0001 20.6884 228.0059 121.1621 1.7996
135.3420 22.5 18.7956 164.5128 -0.0001 20.5470 241.1466 97.4643 1.8888
142.9758 24.0 23.9588 194.8046 -0.0001 20.7926 263.1533 118.9530 1.7994
167.3674 25.5 25.2474 196.4242 -0.0001 20.8304 280.5755 119.1385 1.7875
190.9135 27.0 33.6074 247.8510 -0.0001 21.1219 304.9670 153.4504 1.6867
173.4262 28.5 23.8862 193.9206 -0.0001 20.7909 312.5169 99.2151 1.8619
169.1790 30.0 29.2791 193.9206 -0.0002 20.7909 312.5169 99.2151 1.8619
193.4027 1.4 16.9946 97.4490 0.0002 20.2702 14.2554 278.1391 1.4205
210.1650 2.5 32.3400 218.3930 0.0000 21.0274 27.5967 467.0264 1.3204
186.5078 3.6 36.8002 217.5055 -0.0001 21.0902 40.1587 476.5587 1.2660
205.2326 4.5 27.8238 225.4008 -0.0001 20.9572 49.7126 361.1770 1.4525
173.9260 5.5 30.7311 244.6968 -0.0001 21.0630 61.4405 370.0099 1.4398
155.6856 6.5 22.4298 199.6262 0.0001 20.7579 70.7237 260.8172 1.5753
165.5615 7.5 23.0771 198.6806 0.0001 20.7759 81.8103 251.3594 1.5762
153.2054 8.5 24.0500 202.3132 0.0000 20.8123 93.0776 246.4485 1.5747
178.6259 9.5 22.1957 197.1412 0.0001 20.7466 103.4596 215.4999 1.6323
170.4894 10.5 23.2581 202.0243 -0.0001 20.7888 114.8304 213.4492 1.6286
148.7890 11.5 22.7687 195.8187 -0.0001 20.7597 125.4828 198.3410 1.6482
166.8188 12.5 23.5872 204.4100 -0.0001 20.8057 137.0102 194.8497 1.6561
179.2903 13.5 27.8111 233.9916 -0.0002 20.9798 150.3513 218.5797 1.6118
168.9718 14.5 35.0432 289.2599 -0.0001 21.2347 165.1993 263.1413 1.5495
205.9966 15.5 32.1770 274.4791 -0.0002 21.1533 175.3571 230.2531 1.6009
198.2552 16.5 28.2749 234.8000 -0.0002 20.9916 183.8232 193.9058 1.6453
177.3969 17.5 30.1252 241.7293 -0.0001 21.0449 195.9447 198.4751 1.6275
235.7888 18.5 36.4891 280.1714 -0.0001 21.2361 210.6999 232.6241 1.5646
195.8972 19.4 37.9672 289.1787 -0.0002 21.2758 221.9768 233.5878 1.5607
146.0589 20.9 28.3305 244.9501 -0.0001 21.0062 233.5325 159.8806 1.7239
146.0916 22.5 18.0829 169.1222 -0.0001 20.5300 240.7651 92.9019 1.9242
142.9758 24.0 17.0614 165.6107 0.0000 20.4732 255.5076 81.5050 1.9818
177.6015 25.5 14.9667 152.3085 0.0001 20.3426 268.1543 66.3048 2.0630
175.5017 27.0 15.0630 127.7656 -0.0005 20.2635 281.7999 64.2943 2.0344
173.4262 28.5 9.4906 179.4804 0.0024 19.8253 285.0715 34.5392 2.5205
191.2236 30.0 30.5203 337.1407 -0.0009 21.2409 342.4637 116.3322 1.8972
211.8967 31.5 21.8224 228.4295 -0.0008 20.6682 341.5595 78.9371 2.0831
239.4219 33.0 18.4557 134.8915 -0.0113 20.4194 349.7055 64.6409 2.0064
217.7333 34.5 12.4535 135.0070 -0.0154 20.1262 355.5069 37.4043 2.2824
151.2086 35.7 9.3734 135.0070 -0.0330 20.1262 355.5069 37.4043 2.2824
74.4219 1.5 13.2575 83.2055 0.0001 20.0376 14.9412 229.5311 1.5063
69.5798 2.5 15.1198 96.5744 -0.0009 20.1838 25.5249 236.7440 1.5017
77.3481 3.5 10.3369 75.4424 0.0001 19.8064 34.5870 161.1928 1.6651
85.1849 4.5 13.4918 88.5904 0.0002 20.0705 45.7693 185.6604 1.5888
102.7253 5.5 19.1640 115.7174 0.0000 20.4161 57.9194 236.3532 1.4836
90.7236 7.5 17.0468 120.4061 -0.0025 20.3414 78.5699 188.9311 1.6044
132.4552 8.5 16.1575 126.1840 0.0002 20.3215 88.9150 169.5873 1.6703
164.9230 9.5 23.1157 158.6727 0.0000 20.6719 102.7562 225.3993 1.5398
170.4894 10.5 22.7961 160.9347 0.0000 20.6692 113.5858 210.9638 1.5693
176.8921 11.5 24.0914 177.9073 0.0001 20.7486 125.3488 211.2265 1.5828
151.2112 12.5 25.6409 184.3104 0.0001 20.8072 137.0259 214.0173 1.5701
175.7649 13.5 25.2464 184.6420 0.0001 20.7982 147.8959 200.7484 1.5960
178.7466 14.5 24.1624 174.7580 0.0002 20.7450 158.1203 183.4625 1.6216
177.3007 15.5 24.1579 171.8526 0.0002 20.7369 168.9293 175.4324 1.6317
190.4530 16.5 26.3409 185.1835 0.0002 20.8264 181.1168 183.3730 1.6142
166.5273 17.5 25.1104 178.0844 0.0002 20.7786 191.2896 167.0800 1.6470
167.8803 18.5 22.3493 159.5806 0.0003 20.6542 199.9690 141.8644 1.7039
164.7259 19.5 21.5460 158.7808 0.0003 20.6270 210.2765 130.4322 1.7413
169.6663 21.0 23.0921 163.1816 0.0003 20.6856 227.9503 131.9359 1.7260
186.4214 22.5 25.9649 184.4182 0.0002 20.8150 247.1646 140.1529 1.7079
176.8801 24.0 26.2452 185.6148 0.0002 20.8270 263.9738 133.4566 1.7223
198.9552 25.5 25.9519 179.2493 0.0002 20.8028 279.8819 124.7482 1.7402
178.3484 27.0 29.0142 185.1902 0.0000 20.8851 298.5920 134.1159 1.6933
169.1795 28.5 26.0296 175.1036 0.0001 20.7914 312.4117 112.0992 1.7707
190.9680 30.0 26.2244 180.9835 0.0002 20.8135 329.5481 106.3583 1.7950
182.0213 31.5 24.4438 164.8003 0.0003 20.7263 343.3129 93.5951 1.8347
191.1032 33.0 20.7617 144.2110 0.0003 20.5641 354.3496 73.7599 1.9282
257.4241 34.5 31.2418 205.5403 0.0001 20.9784 384.7630 110.0200 1.7712
191.0810 36.0 29.5437 201.2453 0.0002 20.9390 400.0898 97.5167 1.8224
217.6268 37.0 32.8660 201.2453 0.0001 20.9390 400.0898 97.5167 1.8224
68.2305 1.5 12.6369 79.0297 0.0000 19.9866 14.8635 220.0137 1.5179
98.3074 2.5 7.4100 76.0025 0.0005 19.4400 23.6556 141.8925 1.8155
62.3008 3.5 10.4714 68.1847 -0.0120 19.6818 34.2257 158.7888 1.6692
109.6005 4.5 15.3989 107.9496 0.0000 20.2333 46.4959 209.7961 1.5683
87.5267 5.5 18.2079 137.4564 -0.0001 20.4410 58.0590 228.5040 1.5657
115.8804 6.5 21.2588 154.0337 0.0000 20.6021 69.7227 246.7307 1.5280
171.5287 7.5 21.7232 171.6226 0.0000 20.6637 80.9633 237.4974 1.5668
146.5395 8.5 23.7908 168.3922 -0.0004 20.7110 92.2406 244.1032 1.5247
187.1938 9.5 26.2258 194.2958 -0.0001 20.8448 104.3982 253.8939 1.5266
172.5236 10.5 29.9026 232.7667 -0.0004 21.0184 117.2389 273.3569 1.5195
145.5464 11.5 26.6902 217.2315 -0.0002 20.9135 127.2444 232.2087 1.5830
168.4190 12.5 24.4509 193.5969 -0.0017 20.7951 136.8716 203.1210 1.6167
161.2213 13.5 21.7851 198.5769 -0.0010 20.7379 147.0928 170.6829 1.7132
134.6603 14.5 19.1154 199.6930 -0.0013 20.6467 156.7020 141.1224 1.8159
155.9336 15.5 23.8537 236.6284 -0.0006 20.8863 171.2388 168.2684 1.7452
163.2803 16.5 4.8307 120.6413 0.0933 18.8930 149.2509 32.5359 2.5685
123.4363 17.5 3.1458 78.8773 0.2200 18.3984 149.7799 21.7356 2.6760
179.5927 18.5 5.9391 122.6012 0.0599 19.2328 173.7639 35.1483 2.4896
165.3059 19.5 11.0670 117.1438 -0.0096 19.9416 196.9768 63.9244 2.0978
168.9441 21.0 36.5327 235.7728 -0.0006 21.1316 237.3192 215.0361 1.5357
98.1019 1.5 6.2172 39.7702 -0.0154 19.1682 13.7165 123.2486 1.7313
78.6481 2.5 10.8026 89.6256 0.0001 19.8835 24.7733 187.0388 1.6550
89.3184 3.5 7.3529 82.2075 -0.0014 19.4421 33.2916 127.3688 1.8741
104.5179 4.5 8.8346 86.7959 0.0003 19.6809 44.0299 132.9150 1.8153
126.0384 5.5 14.8213 147.5476 0.0002 20.3108 57.3319 192.8633 1.7020
130.8358 6.5 21.0260 180.8623 -0.0001 20.6652 70.1349 245.3820 1.5833
132.0370 7.5 22.4267 193.6122 -0.0001 20.7433 81.5629 244.7698 1.5850
132.5571 8.5 17.3024 178.4901 -0.0001 20.4989 90.4019 180.5440 1.7413
133.7479 9.5 15.3776 131.0752 0.0000 20.2888 99.1109 152.3524 1.7357
148.8975 10.5 13.0429 138.6984 0.0003 19.9696 106.1976 122.8177 1.9267
134.1405 11.5 2.6421 114.3203 0.0019 17.7066 90.5120 27.0825 2.7565
134.4387 12.5 32.7623 254.7085 -0.0065 21.1060 140.7705 270.5160 1.5277
149.9737 13.5 30.9862 298.1214 -0.0002 21.1849 153.0987 240.7649 1.6254
134.6113 14.1 32.3114 291.7828 0.0001 21.1928 160.0582 245.0749 1.5985
214.6926 30.0 4.7163 89.0844 0.0313 18.8379 270.4893 245.0749 1.5985
209.1321 31.5 22.8791 176.9074 0.0035 20.3148 330.5801 90.6951 2.0927
351.6122 33.0 38.8645 248.9160 -0.0002 21.1987 375.3738 147.8533 1.6603
328.9600 34.5 36.3594 262.2569 0.0000 21.1963 392.3744 127.5212 1.7434
298.8572 36.0 31.8788 243.3559 0.0000 21.0832 405.3784 103.6671 1.8305
318.4643 37.5 30.6260 233.0552 -0.0001 21.0324 420.4077 94.1140 1.8646
351.6799 39.0 19.0078 176.6921 -0.0025 20.5565 418.6610 51.8116 2.1506
329.0091 40.5 33.0230 247.8649 -0.0033 21.1111 457.2429 92.1920 1.8673
223.5684 42.0 24.5950 206.9229 -0.0004 20.8408 462.8449 61.8918 2.0393
190.7979 43.5 20.7443 259.9446 -0.0346 20.8348 479.1433 44.0915 2.2616
249.8593 45.0 23.3960 144.1839 -0.0152 20.6365 486.7726 55.6755 2.0088
363.9616 46.5 29.2041 147.9454 -0.0197 20.7670 509.0775 70.5607 1.8793
444.2261 48.0 28.3294 181.6504 -0.0185 20.8402 529.0035 62.1961 1.9774
329.0582 49.5 28.1303 186.6390 -0.0117 20.8553 546.2951 58.4694 2.0102
345.8616 50.2 39.5568 186.6390 -0.0037 20.8553 546.2951 58.4694 2.0102
3.0414 1.5 7.0335 52.9536 0.0002 19.3818 13.9824 143.3790 1.7113
62.1752 2.5 10.7016 80.8622 0.0001 19.8507 24.6986 182.5032 1.6347
84.7941 3.5 13.5626 107.6719 0.0001 20.1328 35.7231 205.5430 1.6113
85.8535 4.5 13.5646 112.5695 -0.0018 20.1355 46.0509 190.0547 1.6522
119.8113 5.5 18.5139 141.6709 -0.0004 20.4664 58.1956 232.1886 1.5647
125.5320 6.5 18.8022 154.2815 0.0000 20.5159 69.1551 221.2746 1.6000
127.3191 7.5 20.5446 170.1632 0.0000 20.6236 80.6731 225.4575 1.5966
144.9478 8.5 22.9877 182.7758 0.0000 20.7310 92.3882 236.2996 1.5699
122.7951 9.5 21.9071 184.5160 -0.0002 20.7048 103.0704 213.0394 1.6198
162.7039 10.5 25.8514 214.4934 -0.0001 20.8858 115.8461 236.8493 1.5835
168.9243 11.5 26.8914 253.0497 0.0000 21.0039 128.2874 231.9430 1.6287
128.2889 12.5 15.2434 164.0232 0.0001 20.3840 131.7485 125.7963 1.8599
128.3605 13.5 13.8812 156.6537 0.0002 20.2859 140.9979 108.3651 1.9232
149.0645 14.5 12.7501 183.5256 -0.0035 20.1600 149.6591 93.1984 2.0824
173.0934 15.5 10.6421 215.8860 0.0204 20.0330 157.9997 72.2381 2.2674
161.4163 16.5 7.1884 159.3632 0.0160 19.4996 159.2701 46.7121 2.4152
169.1479 17.5 7.9316 196.1834 0.0140 19.7395 173.1419 47.6349 2.4279
148.2094 18.5 8.4041 155.3703 0.0311 19.5681 179.8945 49.8998 2.3883
122.8706 19.5 4.8635 102.0556 0.1204 18.9159 177.0737 27.5821 2.5788
163.4419 21.0 3.5148 82.2631 0.2635 18.6034 184.3108 19.8236 2.6911
147.7005 22.5 4.1598 101.8485 0.1419 18.8045 202.0072 20.4302 2.7022
147.7225 24.0 5.8762 134.5472 0.0861 19.2306 225.7277 25.9346 2.6301
153.3230 25.5 5.9487 155.6447 0.0415 19.3094 241.8699 23.6472 2.6827
179.7985 28.5 11.9861 183.7337 0.0077 20.1838 295.2602 44.2772 2.3214
187.4329 30.0 5.8373 112.7502 0.0937 18.9153 272.8440 21.4828 2.7638
191.2361 31.1 11.0182 112.7502 0.0126 18.9153 272.8440 21.4828 2.7638
150.8525 15.5 32.4700 215.8869 0.0000 21.0247 173.3816 237.8583 1.5137
149.8539 16.5 31.8899 235.5616 0.0000 21.0648 185.0297 221.6583 1.5683
216.7175 17.6 41.5632 235.5616 0.0000 21.0648 185.0297 221.6583 1.5683
36.0090 1.5 15.6619 86.9749 0.0000 20.1738 15.1486 255.2651 1.4372
108.3092 2.5 16.2570 119.0558 -0.0001 20.3061 25.8170 258.6022 1.5161
109.4021 3.5 19.1348 141.5338 -0.0002 20.4926 36.9568 275.1803 1.5002
105.4988 4.5 16.2859 125.9053 0.0000 20.3302 46.9165 222.4609 1.5791
78.5600 5.5 10.8544 90.7252 -0.0002 19.8857 55.0193 144.6070 1.7418
96.1171 6.5 14.0061 115.9346 0.0001 20.1843 67.0217 169.0503 1.6864
124.7542 7.5 15.5551 118.1544 -0.0004 20.2722 78.0540 173.8824 1.6535
134.4574 8.5 18.7323 148.4640 -0.0008 20.4988 90.4309 194.6687 1.6293
158.7883 9.5 21.8296 147.1347 0.0001 20.5999 102.0792 213.4309 1.5509
200.0904 10.5 16.6366 143.9566 0.0000 20.3961 110.7233 154.7726 1.7300
153.8432 11.5 15.4194 123.2379 0.0000 20.2811 120.0023 136.3693 1.7483
133.7150 12.5 12.8902 103.8819 0.0001 20.0833 128.0082 108.4532 1.8283
287.4120 13.5 13.1512 113.8565 0.0000 20.1093 138.6067 104.5571 1.8693
211.3712 14.5 26.9410 195.9616 -0.0005 20.8639 159.8417 204.4476 1.5902
206.3986 33.0 14.6359 224.6175 -0.0448 20.4547 350.8522 43.9437 2.3285
308.4718 52.0 24.8334 377.1207 -0.0182 21.1983 591.7552 41.3407 2.3308
118.6578 2.5 24.8966 100.3946 0.0003 20.5307 26.3876 334.9481 1.2569
108.0395 5.5 38.2411 127.3516 0.0006 20.8618 60.3407 431.9502 1.1176
120.9578 8.5 33.8928 180.5159 0.0003 20.9550 94.2855 343.3540 1.3312
119.2387 11.5 28.5612 166.2988 -0.0007 20.7904 125.8076 252.7725 1.4740
150.5567 14.5 26.0550 182.0665 -0.0010 20.8001 158.9054 198.3130 1.5917
150.5601 17.5 57.0771 269.0237 0.0000 21.4161 202.4089 405.8327 1.2429
150.8338 19.4 52.4897 246.9963 0.0001 21.3302 223.0279 347.0240 1.2913
92.4674 22.7 41.1794 181.7826 0.0003 21.0603 254.9359 239.9856 1.3941
122.2859 25.9 44.0426 196.8266 0.0005 21.1317 292.7824 230.0046 1.4122
169.3359 28.9 43.7383 214.8548 0.0004 21.1744 327.9795 202.6643 1.4810
177.6255 31.9 44.8708 216.6004 0.0002 21.1892 362.5432 188.7710 1.5007
152.7698 33.8 34.1915 229.3683 0.0000 20.9616 376.5077 128.6638 1.8210
217.3308 35.3 58.7026 274.3799 -0.0003 21.4389 410.0348 227.8822 1.4278
135.6212 37.0 53.7849 227.4148 -0.0003 21.2946 424.4600 199.3829 1.4482
128.7599 40.0 34.1022 182.8788 -0.0002 20.9684 445.8871 103.7415 1.7420
135.6448 43.0 41.6389 146.8298 0.0000 20.9670 479.3039 127.0149 1.5713
151.1338 45.8 51.6396 265.1314 0.0000 21.3656 528.7802 137.8836 1.6278
191.6498 49.5 42.5799 250.5630 -0.0069 21.2448 565.5641 95.2535 1.7956
249.9140 50.9 46.0285 291.1066 -0.0039 21.3627 587.5596 97.9438 1.8081
290.1520 52.3 38.8654 464.7317 -0.0137 21.5700 614.5918 73.3670 2.1029
294.3005 54.6 51.4057 464.7317 -0.0101 21.5700 614.5918 73.3670 2.1029
229.7543 57.1 39.5008 260.8031 -0.0013 21.2336 651.8266 66.6440 1.9539
340.1085 58.7 45.9232 396.0598 -0.0032 21.5759 690.1948 69.5129 2.0037
78.0652 14.1 9.4054 70.5502 -0.0004 19.7093 139.1874 73.0213 1.9510
85.2249 24.0 6.5153 42.9857 -0.0002 19.2943 227.2506 30.6207 2.2533
122.4252 34.0 17.0145 126.0594 -0.0012 20.3660 358.4899 56.4323 2.0416
129.4679 14.0 22.4547 131.0515 -0.0028 20.5586 150.0334 176.8935 1.5769
191.3407 18.0 21.9696 149.8471 0.0007 20.6101 193.7526 142.9628 1.6902
191.2274 22.0 16.2287 131.9714 -0.0003 20.3474 231.4024 86.0381 1.9128
249.5059 28.0 38.4213 260.2261 -0.0009 21.2163 318.9208 172.6777 1.6238
193.4027 32.0 22.7568 150.7292 -0.0082 20.6362 346.0111 84.7890 1.8677
207.4638 9.5 43.8779 193.3724 0.0003 21.1197 106.9849 423.7184 1.2091
139.9470 16.5 33.2902 169.4751 -0.0011 20.9122 182.5250 239.6628 1.4334
133.6106 22.0 44.6182 257.7120 -0.0001 21.2845 251.9813 258.9423 1.4451
110.9376 26.1 17.3954 118.8488 0.0000 20.3576 274.8624 79.6084 1.8994
127.4312 36.0 17.5460 124.6260 -0.0007 20.3810 380.1466 54.4667 2.0510
136.9083 23.0 27.6284 150.7340 0.0002 20.7592 251.3981 151.2229 1.6109
135.7064 27.0 37.7576 165.3691 0.0001 20.9712 300.9001 187.7234 1.4776
223.3660 36.0 5.5629 100.0547 0.1411 19.1522 335.9049 15.0364 2.7610
169.2771 25.5 20.8253 144.7903 -0.0132 20.5531 273.5256 98.3568 1.8220
188.8459 34.5 37.7622 239.7386 0.0001 21.1629 391.2224 135.8970 1.6877
188.4118 17.0 33.7457 175.7688 0.0003 20.9422 188.5822 237.6603 1.4429
149.7268 23.9 24.7074 153.7383 0.0001 20.7006 259.8554 127.5785 1.7049
230.1651 32.0 29.9110 162.3237 -0.0009 20.8394 352.5017 118.0487 1.6976
294.3935 41.6 26.1071 185.2056 0.0034 20.7471 454.5447 73.1760 1.9655

So, 569 Gmax measurements. You probably noted that I removed some ID parameters or other parameters which I guessed don’t have much predictive ability on the Gmax. A more rigorous procedure could have been followed here but this will do for now. Vs is also removed since it’s basically a duplicate of Gmax.

4.2 Data overview

So, the data_ml dataset (above table) is what we are going to use to train our models. Let’s get a very short overview of these data.

ggplot(data_ml) +
  geom_point(aes(.panel_x, .panel_y), alpha = 1/5, size = 1) +
  facet_matrix(vars(Gmax:Ic)) +
  geom_smooth(aes(.panel_x, .panel_y),
              se = FALSE, span = 1, alpha = 0.25, size = 1.5, color = col_r) +
  coord_cartesian(expand = c(0, 0)) +
  theme(panel.grid.major = element_blank(),
        axis.text = element_blank(),
        axis.ticks = element_blank())
_Relationship between `Gmax` and other parameters._

Relationship between Gmax and other parameters.

The previous plot shows the relationship of Gmax to the other predictive parameters. Here we can get an idea on the predicting power of these parameters. It looks like Gmax has a strong relationship to Depth, unit weight (UW) and effective vertical stress (SV0P). To my surprise, it looks like Ic doesn’t have a clear relationship with Gmax 🤨.

4.3 Data split

We need to split the data into:

  • train data: used to train the ML models (65 % of the data or 372 data points);
  • test data: used to test the ML models (35 % of the data or 197 data points).
# splitting
set.seed(1)
data_split <- initial_split(data_ml, prop = 0.7, strata = "Gmax")
data_train <- training(data_split)
data_test <- testing(data_split)

To avoid over-fitting and to allow some parameter tuning later, we also need to generate some resampling through cross validation.

# resampling
set.seed(1)
folds <- rsample::vfold_cv(data_train, v = 10)
rec <- recipe(Gmax ~ ., data = data_train)
metric <- metric_set(rmse, rsq)

# control settings
ctrl_grid <- control_stack_grid()
ctrl_res <- control_stack_resamples()

What the recipe function says it is simply that we are trying to predict one outcome, which is Gmax, from 8 predictors (the rest of the parameters). It may look like these are a lot of predictors, which is kinda true, but these are dealt with using the step_* functions, which allow for some data preprocessing. For example, step_corr removes highly correlated predictors, to avoid overlapping. The recipe serves like the basis of model definitions, i.e. it will be a common feature for all models. After this, each model will develop it’s own characteristics.

We also specified also some metrics (rmse, rsq) which we are going to use to evaluate the performance/accuracy of the model. I particularly like to use the rmse (root mean square error) metric, since the result has the same unit as the predicted parameter and it’s easier to get an idea of the level of accuracy and if it is acceptable to us.

4.4 Models

Here we specify and train our models. I will obviously not go into great details here. Everything that I am going to use here comes from the tidymodels metapackage, which is a collection of R packages for modeling and machine learning. It enables working with different ML models through a unified syntax (and much more). As you will notice later, we can switch from one ML model to another with minor changes in the code.

Let’s list all the models we are going to use:

  • Linear Regression (LR);
  • K-Nearest Neighbor (KNN);
  • Splines (SPL);
  • Random Forest (RF);
  • XGBoost (XGB).

Move through the tabs to see the code for specifying and fitting all models:

LR

Linear Regression:

# create a model definition
lr_spec <-
  linear_reg() %>%
  set_engine("lm")

# extend the recipe
lr_rec <-
  rec %>%
  step_dummy(all_nominal()) %>%
  step_zv(all_predictors(), skip = TRUE)

# add both to a workflow
lr_wflow <- 
  workflow() %>%
  add_model(lr_spec) %>%
  add_recipe(lr_rec)

# fit to the 5-fold cv
set.seed(2021)
lr_res <- 
  fit_resamples(
    lr_wflow,
    resamples = folds,
    metrics = metric,
    control = ctrl_res
  )

KNN

K-Nearest Neighbor:

# create a model definition
knn_spec <-
  nearest_neighbor(mode = "regression", 
                   neighbors = tune::tune("k")) %>%
  set_engine("kknn")

# extend the recipe
knn_rec <-
  rec %>%
  step_dummy(all_nominal()) %>%
  step_zv(all_predictors(), skip = TRUE) %>%
  step_meanimpute(all_numeric(), skip = TRUE) %>%
  step_normalize(all_numeric(), skip = TRUE)

# add both to a workflow
knn_wflow <- 
  workflow() %>% 
  add_model(knn_spec) %>%
  add_recipe(knn_rec)

# tune k and fit to the 5-fold cv
set.seed(2021)
knn_res <- 
  tune_grid(
    knn_wflow,
    resamples = folds,
    metrics = metric,
    grid = 4,
    control = ctrl_grid
  )

SPL

Splines:

# create a model definition
spl_spec <- 
  linear_reg() %>%
  set_engine("lm")

# extend the recipe
spl_rec <-
  rec %>%
  step_ns(SCPT_RES, UW, deg_free = tune::tune("length"))

# add both to a workflow
spl_wflow <- 
  workflow() %>% 
  add_model(spl_spec) %>%
  add_recipe(spl_rec)

# tune length and fit to the 5-fold cv
set.seed(2021)
spl_res <- 
  tune_grid(
    spl_wflow, 
    resamples = folds, 
    grid = 8,
    metrics = metric,
    control = ctrl_grid
  )

RF

Random Forest:

# create a model definition
rf_spec <- 
  rand_forest(min_n = tune(), trees = tune()) %>% 
  set_mode("regression") %>% 
  set_engine("randomForest")

rf_grid <- 
  grid_regular(parameters(rf_spec), levels = 4, filter = c(trees > 1))

# extend the recipe
rf_rec <-
  rec %>% 
  step_nzv(all_predictors()) %>% 
  step_corr(all_numeric(), -all_outcomes()) %>% 
  step_lincomb(all_numeric(), -all_outcomes()) %>% 
  step_normalize(all_numeric(), -all_outcomes()) %>% 
  step_dummy(all_nominal())

# add both to a workflow
rf_wflow <- 
  workflow() %>% 
  add_model(rf_spec) %>%
  add_recipe(rf_rec)

# tune and fit to the 5-fold cv
set.seed(2021)
rf_res <- 
  tune_grid(
    rf_wflow,
    resamples = folds,
    grid = rf_grid,
    metrics = metric,
    control = ctrl_grid
  )

XGB

XGBoost:

# create a model definition
xgb_spec <- 
  boost_tree(
    trees = 1000,
    tree_depth = tune(),
    min_n = tune(), 
    loss_reduction = tune(),
    sample_size = tune(), 
    mtry = tune(),
    learn_rate = tune()
  ) %>% 
  set_engine("xgboost") %>% 
  set_mode("regression")

xgb_grid <- 
  grid_latin_hypercube(
    tree_depth(),
    min_n(),
    loss_reduction(),
    sample_size = sample_prop(),
    finalize(mtry(), data_train),
    learn_rate(),
    size = 40
  )

# add recipe (formula) and merge into a workflow
xgb_wflow <- 
  workflow() %>%
  add_formula(Gmax ~ .) %>%
  add_model(xgb_spec)

# tune and fit to the 5-fold cv
set.seed(2021)
xgb_res <- 
  tune_grid(
    xgb_wflow,
    resamples = folds,
    grid = xgb_grid,
    metrics = metric,
    control = ctrl_grid
  )

4.5 Stacking and fitting

After defining and fitting all models, it’s time to ensemble the results of these models in a data stack, named gmax_st.

gmax_st <- 
  stacks() %>%
  add_candidates(lr_res) %>%
  add_candidates(knn_res) %>%
  add_candidates(spl_res) %>%
  add_candidates(rf_res) %>%
  add_candidates(xgb_res)
gmax_st
## # A data stack with 5 model definitions and 65 candidate members:
## #   lr_res: 1 model configuration
## #   knn_res: 4 model configurations
## #   spl_res: 8 model configurations
## #   rf_res: 12 model configurations
## #   xgb_res: 40 model configurations
## # Outcome: Gmax (numeric)
# table
func_tbl(as_tibble(gmax_st))
Gmax lr_res_1_1 knn_res_1_1 knn_res_1_2 knn_res_1_3 knn_res_1_4 spl_res_5_1 spl_res_4_1 spl_res_1_1 spl_res_6_1 spl_res_7_1 spl_res_3_1 spl_res_2_1 spl_res_8_1 rf_res_1_01 rf_res_1_04 rf_res_1_07 rf_res_1_10 rf_res_1_02 rf_res_1_05 rf_res_1_08 rf_res_1_11 rf_res_1_03 rf_res_1_06 rf_res_1_09 rf_res_1_12 xgb_res_1_12 xgb_res_1_20 xgb_res_1_14 xgb_res_1_08 xgb_res_1_01 xgb_res_1_27 xgb_res_1_06 xgb_res_1_22 xgb_res_1_33 xgb_res_1_35 xgb_res_1_34 xgb_res_1_23 xgb_res_1_37 xgb_res_1_40 xgb_res_1_04 xgb_res_1_13 xgb_res_1_25 xgb_res_1_16 xgb_res_1_10 xgb_res_1_30 xgb_res_1_18 xgb_res_1_05 xgb_res_1_24 xgb_res_1_26 xgb_res_1_21 xgb_res_1_17 xgb_res_1_39 xgb_res_1_19 xgb_res_1_09 xgb_res_1_07 xgb_res_1_32 xgb_res_1_03 xgb_res_1_36 xgb_res_1_29 xgb_res_1_31 xgb_res_1_11 xgb_res_1_38 xgb_res_1_02 xgb_res_1_28 xgb_res_1_15
59.4335 56.78905 -0.6424277 -0.2455923 -0.0801962 -0.0533427 59.61042 60.33112 56.26385 57.32021 49.61933 44.77945 41.10751 35.38406 54.99569 56.74991 64.37245 68.03899 54.77191 57.82410 63.63158 68.36459 56.00315 57.04753 63.47007 67.86208 59.56662 1.312109 13.94709 0.5170899 0.6923082 1.105559 2.185663 0.5068994 36.77114 0.7771143 74.07449 68.69634 74.36162 0.5000000 0.5002130 29.54862 8.357159 0.5016620 45.93484 0.5000598 0.5001193 0.5926891 0.5000000 0.5005446 53.65077 0.5004250 0.5488145 0.5012386 31.63435 4.621045 0.6934572 0.5000572 0.5157569 0.5059612 2.210976 77.20190 0.5000000 0.5029302 52.32609 65.56268
24.3470 61.40420 -0.6302508 -0.3037782 -0.1287728 -0.1060154 55.72421 58.19572 57.50999 55.66570 53.91764 54.56421 56.29680 58.26673 57.82063 60.94780 70.34428 73.29803 55.77111 61.26944 68.48908 74.23227 55.70100 62.44214 68.92549 74.82165 66.05542 1.318946 13.53873 0.5173118 0.6908960 1.153641 2.196058 0.5070348 39.44575 0.7930426 75.62837 71.23537 55.49327 0.5000000 0.5002361 29.57128 8.572145 0.5018047 60.79857 0.5000597 0.5001194 0.5928348 0.5000000 0.5006680 55.74724 0.5004289 0.5500337 0.5012667 32.08005 4.883665 0.7000479 0.5000575 0.5122709 0.5062804 2.365399 82.53064 0.5000328 0.5029622 61.89995 69.98248
98.8177 96.55963 2.2560372 1.9264765 1.6555222 1.4902073 92.15065 92.78176 95.75380 95.66087 88.42182 87.39355 90.93393 88.67292 95.12896 95.36146 95.93762 93.74855 94.16953 95.19576 94.93263 94.94166 94.25214 95.45428 94.25891 94.16604 92.10146 1.461205 14.50491 0.5173515 0.6930467 1.183404 2.169771 0.5107538 51.46636 0.8406637 75.32738 84.45579 86.96692 0.5000000 0.5003144 30.46467 8.999919 0.5020601 93.33323 0.5000620 0.5001360 0.5926637 0.5000000 0.5008789 61.97218 0.5004297 0.5587045 0.5013697 32.14134 6.072161 0.7327501 0.5000619 0.5222720 0.5066615 3.422781 87.17332 0.5000591 0.5032504 103.12183 86.02203
99.3361 100.64460 2.2560372 1.9510487 1.5649818 1.4608006 96.56707 97.40116 97.56326 97.17686 93.16897 95.08346 95.91764 95.60401 101.08057 102.30366 101.26706 102.21333 102.47957 102.06232 100.92196 101.75622 101.27907 101.07137 102.09993 101.73855 95.99310 1.574053 15.99628 0.5179549 0.6930941 1.305338 2.234282 0.5125400 59.71220 0.9224677 81.15153 82.99823 85.43349 0.5000000 0.5003915 32.70564 10.092213 0.5026729 84.41895 0.5000688 0.5001551 0.5966045 0.5000000 0.5012070 69.96141 0.5004323 0.5733973 0.5018730 32.30530 7.039834 0.8003522 0.5000619 0.5270009 0.5071917 3.864740 89.66266 0.5000596 0.5035418 96.68805 92.63837
89.3734 112.66959 -0.6388950 -0.2373093 -0.0780064 -0.0220024 120.49145 118.95687 129.43024 125.73110 126.96763 125.30204 127.62633 127.32496 116.81007 118.92293 122.99476 124.07698 117.25420 118.69588 122.33088 121.53275 115.65246 119.11237 122.06088 123.40598 107.60488 1.803460 19.59475 0.5212914 0.7138073 1.493751 2.603923 0.5142961 68.45336 0.9909868 95.04967 114.04680 105.26450 0.5000000 0.5004414 38.85836 11.898686 0.5029789 114.27082 0.5000908 0.5001767 0.6175576 0.5000011 0.5012895 77.39989 0.5004861 0.5764152 0.5020041 35.20546 7.336888 0.8025591 0.5000604 0.5266856 0.5084001 4.012949 112.42496 0.5000596 0.5040294 122.85222 109.45843
64.7894 67.65679 2.3241754 2.4191117 2.0512953 1.8427354 87.59149 84.43410 82.80929 84.72160 84.78274 83.38678 81.94200 80.75533 90.81645 95.21522 95.56736 100.29438 89.35564 93.31948 96.24254 99.53894 90.37853 93.94333 95.60259 101.31122 87.39593 1.448575 15.93539 0.5173687 0.6909934 1.259227 2.204199 0.5095857 46.93570 0.8294017 76.18298 87.97334 79.48593 0.5000000 0.5002676 29.69653 8.662925 0.5019444 69.76952 0.5000598 0.5001214 0.5928639 0.5000000 0.5007494 57.63866 0.5004289 0.5539005 0.5013156 32.08005 5.333342 0.7151958 0.5000575 0.5186711 0.5064007 2.876559 96.74220 0.5000390 0.5029645 70.89520 85.74980
82.9262 74.30394 2.3241754 2.4030865 2.0257488 1.8783065 101.88107 93.15928 92.19946 94.64425 95.23351 93.54545 91.43600 89.52039 105.93622 108.87927 107.22648 112.80582 103.37038 107.94955 109.42285 111.89937 103.91794 108.13824 109.72064 114.95913 98.43179 1.509415 16.53968 0.5174066 0.6909934 1.276651 2.206782 0.5106246 52.95395 0.8494034 76.47559 94.10582 96.87707 0.5000000 0.5003152 29.80234 8.832154 0.5021518 102.98135 0.5000605 0.5001264 0.5928639 0.5000000 0.5008558 60.08201 0.5004289 0.5584232 0.5014179 32.08005 6.007271 0.7364538 0.5000575 0.5217009 0.5065064 3.294046 98.88129 0.5000459 0.5030336 90.69851 91.63610
99.0368 77.08049 2.3565715 2.3452169 2.0398903 1.9278190 91.20427 91.02772 90.88539 92.43043 96.04190 94.25840 89.02506 85.03606 99.64051 106.86286 108.78797 109.87322 102.56119 106.46181 110.41118 112.52524 102.14224 105.49837 109.44287 110.93701 99.15867 1.480426 15.10221 0.5171136 0.6897368 1.183224 2.145977 0.5099960 47.06268 0.8162650 74.18654 87.27091 83.24989 0.5000000 0.5002733 29.88151 8.833544 0.5019335 87.09334 0.5000604 0.5001279 0.5925888 0.5000000 0.5007764 56.39551 0.5004240 0.5532447 0.5013064 32.14308 5.286542 0.6926866 0.5000575 0.5191494 0.5063163 2.941497 89.31646 0.5000485 0.5030192 90.89239 88.90585
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142.5334 122.59938 2.3565715 2.4193950 2.0295974 1.7400083 118.75618 116.25833 116.41890 116.05156 101.09458 105.45314 105.78593 102.66377 122.63461 126.46824 133.39437 134.26166 123.10971 126.82420 131.05191 135.83300 122.56029 126.94939 134.01187 137.63807 121.26242 1.683726 19.24509 0.5211498 0.7048388 1.517056 2.572187 0.5148715 73.80133 1.0242525 104.00644 127.49328 81.09158 0.5000002 0.5004805 41.34789 12.532896 0.5033868 75.82919 0.5000979 0.5001966 0.6239967 0.5000022 0.5015536 87.06830 0.5004967 0.5925678 0.5022863 37.79091 8.909022 0.8874804 0.5000575 0.5346911 0.5098238 4.877438 137.00316 0.5000596 0.5045938 89.84550 126.37865
138.3385 122.27233 3.0917644 2.6014673 2.3415949 2.2064684 112.75312 118.58944 119.76171 120.92192 123.03023 124.29645 121.55466 118.45770 106.48510 109.50551 116.58482 115.39373 108.43888 111.72393 114.25197 116.16308 107.16028 111.03487 114.70595 115.39127 114.19128 1.645866 17.29397 0.5207977 0.7217702 1.373833 2.490330 0.5135902 66.38064 0.9482897 98.06455 115.50093 105.94556 0.5000000 0.5004097 38.80901 11.211463 0.5027274 101.02415 0.5000845 0.5001767 0.6210487 0.5000092 0.5012041 79.75246 0.5005791 0.5760759 0.5018721 36.42556 7.467980 0.8056732 0.5000575 0.5277177 0.5081011 4.075884 117.48635 0.5000595 0.5040244 107.09524 119.30440
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154.5160 189.25097 3.0516137 2.2581507 2.2212489 2.1337313 190.39554 192.68590 180.81497 200.73676 188.97297 196.58733 190.76231 189.43037 169.11444 161.45524 161.48061 160.08592 169.39512 163.37269 159.85161 159.15891 167.04653 161.79421 161.65276 161.53785 152.60768 1.942848 21.25300 0.5229409 0.7246653 1.668593 2.812497 0.5177708 88.24636 1.0950403 126.03016 173.86095 173.33293 0.5000007 0.5005549 47.65919 15.702689 0.5036313 176.24002 0.5001065 0.5002382 0.6429734 0.5000333 0.5015424 100.76266 0.5005817 0.5995250 0.5023775 42.31491 9.219655 0.8698276 0.5000576 0.5347635 0.5099249 4.952960 171.38847 0.5000596 0.5057648 175.92389 171.95929
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166.8324 79.34272 3.0516137 2.3320870 1.8182289 1.8338675 73.52153 79.49642 77.82458 77.45848 73.25581 74.09293 75.19385 75.57533 80.36108 83.71557 83.33167 85.03072 81.11956 82.23260 83.27770 84.79071 80.71779 81.07632 83.24624 84.67361 82.84293 1.481407 15.45812 0.5173296 0.6936393 1.258501 2.208413 0.5108774 52.00058 0.8781147 79.61454 100.61667 88.40881 0.5000000 0.5003309 31.19242 9.582621 0.5022557 70.67408 0.5000647 0.5001487 0.5933773 0.5000000 0.5009693 62.70098 0.5004246 0.5683368 0.5017759 31.29215 5.974582 0.7816572 0.5000576 0.5222032 0.5065684 3.256692 105.67679 0.5000345 0.5034947 63.44112 96.33959
152.4686 156.63344 2.2557106 2.3160807 1.9338124 1.7363345 160.62442 159.29522 155.47597 156.70472 159.58997 156.20718 151.80943 152.78738 158.85863 158.83914 163.42200 168.73643 159.43783 159.78966 165.33686 166.25654 156.18056 159.99850 163.04720 166.76178 156.05704 2.006606 23.07286 0.5257838 0.7549760 1.695392 3.021358 0.5178828 88.40174 1.0979410 131.14378 155.94223 132.84180 0.5000004 0.5005450 50.49811 14.125303 0.5036691 136.70021 0.5001192 0.5002154 0.6468710 0.5000099 0.5016134 102.46709 0.5006565 0.5994126 0.5024949 39.36262 9.617111 0.9059312 0.5000589 0.5370023 0.5105481 5.225926 165.62064 0.5000596 0.5051475 143.98206 160.31154
168.7393 149.54048 2.3610920 2.4410326 2.0656661 1.8405662 154.44761 152.46852 156.70305 148.32587 144.57823 149.42403 151.18156 157.12725 166.07849 162.59943 162.78953 166.17240 163.81164 162.21666 163.33798 165.08050 163.39619 162.91082 163.50950 164.61353 152.55656 1.995643 22.87722 0.5267903 0.7552164 1.685677 3.119163 0.5181117 87.03988 1.1027213 130.99974 167.13997 194.24838 0.5000001 0.5005481 51.78074 14.680723 0.5036820 185.67001 0.5001203 0.5002302 0.6600762 0.5000181 0.5016201 104.26221 0.5006811 0.5994428 0.5024644 43.13636 9.743665 0.9047253 0.5000562 0.5371975 0.5110313 5.305783 164.66852 0.5000596 0.5053339 178.96712 163.04826
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168.8584 159.19919 2.3465778 2.4261274 2.0439852 1.9169365 164.52390 163.76447 164.73843 156.60668 156.31803 155.54105 162.18073 167.90979 172.00193 166.30341 162.58915 159.23136 171.43773 166.66792 163.01521 160.18039 171.47014 166.02543 162.86691 159.85639 153.77898 1.953896 21.76584 0.5276139 0.7551640 1.676867 3.246083 0.5179690 87.29092 1.0941734 140.73746 158.73442 170.73094 0.5000000 0.5005457 54.79384 14.585114 0.5036489 176.14662 0.5001215 0.5002289 0.6730137 0.5000328 0.5015942 102.17872 0.5006901 0.5993076 0.5024479 43.26043 9.714241 0.9056209 0.5000627 0.5374462 0.5108976 5.267895 157.66333 0.5000596 0.5052708 179.20297 151.92200
168.7476 197.81271 2.3610920 2.4410326 2.0396086 1.8539723 192.79619 197.14124 194.65447 197.36142 190.02863 192.82477 196.53983 173.20760 178.22620 186.44315 191.77460 195.72572 177.80905 189.71857 194.48349 192.99263 177.39418 188.64984 192.82356 194.67763 183.38463 2.101453 24.48361 0.5287076 0.7634228 1.793478 3.373990 0.5195443 100.27861 1.1457659 158.08397 197.48738 163.22522 0.5000005 0.5005870 57.92204 15.511087 0.5038685 163.85117 0.5001248 0.5002440 0.6757333 0.5000381 0.5017133 115.14113 0.5007080 0.6067608 0.5026442 43.68727 10.262501 0.9302874 0.5000562 0.5392100 0.5111722 5.521359 208.17593 0.5000596 0.5054913 171.33466 194.03584
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149.7530 136.75852 2.2821236 2.2930305 2.0406755 1.8441145 137.74307 135.37184 136.46622 134.86787 141.59033 145.87963 145.80520 135.41023 129.99280 137.85247 140.17228 143.54963 129.21833 137.20999 141.11783 145.11054 128.52208 137.86021 141.88711 143.04862 131.99272 1.773750 19.56142 0.5208969 0.7098565 1.497828 2.543582 0.5151891 74.37049 1.0073903 104.68636 142.31813 143.88370 0.5000002 0.5004713 41.16652 12.557454 0.5032774 144.80304 0.5000983 0.5001923 0.6237746 0.5000015 0.5014690 88.52723 0.5005124 0.5879927 0.5021833 38.54794 8.822409 0.8706511 0.5000572 0.5346345 0.5098537 4.920590 137.82155 0.5000596 0.5046135 135.36642 137.14418
150.0235 133.13700 2.2138360 2.2898034 1.9522693 1.8505988 128.11834 132.36785 132.29454 130.58645 131.33360 128.30475 126.87243 129.89795 130.03518 136.19373 139.37880 143.23349 133.91433 137.24505 139.72744 140.46767 132.96520 137.07378 138.98870 140.90460 129.58391 1.770994 19.71485 0.5214452 0.7143229 1.503331 2.609332 0.5149735 71.60120 0.9933318 102.24992 140.08942 119.14070 0.5000000 0.5004491 41.55015 12.184700 0.5029823 122.99154 0.5000964 0.5001877 0.6254686 0.5000024 0.5012603 84.67437 0.5005577 0.5828391 0.5020480 39.16660 8.078072 0.8351471 0.5000576 0.5309469 0.5090027 4.483676 134.62555 0.5000596 0.5044166 130.46597 135.21649
140.8887 152.21366 3.0516137 1.9613191 1.8346504 1.5874708 151.62163 148.00386 141.22372 140.64497 147.45543 148.19503 148.89729 156.32777 153.07273 154.36601 154.20876 154.61156 153.69410 153.87983 154.93393 156.74153 154.13044 153.87535 154.11092 155.37544 151.61220 1.971467 22.46136 0.5247082 0.7322481 1.664598 2.909072 0.5177099 87.28628 1.0921093 123.86703 162.88335 161.99632 0.5000000 0.5005475 47.34456 14.012105 0.5036970 148.22350 0.5001125 0.5002162 0.6379575 0.5000039 0.5015886 99.05359 0.5005634 0.5977663 0.5024151 39.56499 9.579399 0.9008857 0.5000576 0.5368128 0.5104861 5.187879 157.29689 0.5000596 0.5050763 156.85947 157.94725
152.5243 143.45667 2.3206655 2.3997138 2.0199800 1.8709187 141.28754 133.03656 136.37236 138.03611 147.17814 151.10977 151.58176 146.56788 137.93319 139.66604 139.48641 141.53573 137.88983 139.55054 140.62467 140.88739 137.63926 139.61868 140.15295 140.92439 135.17703 1.786238 19.34031 0.5238649 0.7321033 1.526707 2.775669 0.5163555 77.54713 1.0315272 116.65168 132.48195 139.26372 0.5000000 0.5004963 46.94561 13.691474 0.5034184 137.68434 0.5001136 0.5002134 0.6453832 0.5000086 0.5015293 95.59978 0.5006217 0.5945264 0.5023634 41.19147 9.274213 0.8863043 0.5000604 0.5359309 0.5106370 5.069613 133.06439 0.5000596 0.5050846 140.11516 134.90825
168.6959 154.30987 2.3565715 2.3452169 2.0177318 1.9458604 157.03257 155.16754 155.13135 153.71826 153.00475 152.47145 150.06040 144.92964 144.31303 143.92048 144.68470 144.82320 142.10898 142.96760 143.66112 143.62477 144.09234 143.95929 143.84032 144.18289 140.62534 1.805213 19.61769 0.5263522 0.7361434 1.592056 3.138202 0.5167958 81.12076 1.0479634 135.38251 140.52083 154.50139 0.5000000 0.5004840 51.84428 14.348567 0.5032312 156.33629 0.5001152 0.5002217 0.6658264 0.5000334 0.5014191 98.89664 0.5006478 0.5895951 0.5021605 43.14452 8.988963 0.8643537 0.5000575 0.5342004 0.5102997 4.897368 150.16695 0.5000596 0.5051847 150.22711 140.26204
168.8376 160.42715 2.2138360 2.2898034 1.9522693 1.7751240 168.18388 166.42135 171.34935 161.42233 162.35334 165.89906 168.91405 173.05018 166.36825 163.06180 160.56119 160.52020 166.90717 164.57980 160.12643 158.63170 166.22600 164.26360 161.23103 159.29677 152.02826 1.901343 21.05222 0.5276702 0.7557875 1.667075 3.261291 0.5179344 87.81351 1.0884418 144.16345 142.42487 149.21584 0.5000004 0.5005410 55.45991 14.923175 0.5036348 156.65858 0.5001234 0.5002308 0.6741101 0.5000303 0.5016306 105.74030 0.5007010 0.5989536 0.5025095 42.56622 9.741191 0.9049336 0.5000576 0.5374031 0.5111043 5.270247 162.97697 0.5000596 0.5053819 165.51572 149.21510
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177.3969 177.59021 2.3241754 2.3859973 2.0176534 1.7954693 179.96967 187.98994 182.79514 181.04340 182.59322 178.01831 174.12363 175.87618 175.92543 176.76534 175.07131 176.79800 175.72525 176.04476 176.29362 174.59826 176.11494 176.14809 175.99931 175.66471 175.37642 2.046606 23.59864 0.5274000 0.7598919 1.744128 3.148979 0.5186290 95.01215 1.1263942 141.44205 179.51784 185.36534 0.5000001 0.5005801 53.46418 14.675115 0.5038659 149.10941 0.5001211 0.5002317 0.6604676 0.5000210 0.5017396 107.83720 0.5006978 0.6056713 0.5026716 42.71273 10.142160 0.9343607 0.5000575 0.5392383 0.5108853 5.494732 179.40761 0.5000596 0.5053394 164.98386 183.01585
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178.3484 188.55842 2.3465778 2.4261274 2.0622992 1.9187519 195.59457 200.73704 200.81188 205.96469 203.39367 205.10010 208.34328 189.99225 188.43854 186.95053 185.31663 185.88298 188.53995 186.13694 186.93171 187.01577 189.10293 186.90982 186.35984 185.43640 180.73019 2.130266 24.54361 0.5291812 0.7623817 1.903951 3.489833 0.5217457 103.83188 1.2079062 163.85620 192.28412 193.91985 0.5000023 0.5006422 61.49168 18.750931 0.5042131 189.97060 0.5001366 0.5002849 0.6845290 0.5000582 0.5018168 123.08146 0.5007112 0.6229600 0.5031210 50.07893 11.443258 0.9717941 0.5000627 0.5439760 0.5131970 6.234733 202.71764 0.5000601 0.5072850 184.91174 191.44542
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149.9737 189.33164 2.2138360 1.9657975 1.7850650 1.6465498 187.76447 197.70673 197.03964 193.59185 201.48758 202.95382 203.57687 197.93191 179.51977 181.22174 183.27173 182.49865 179.14986 182.18071 183.94178 181.07442 180.39545 181.70607 183.09100 181.98374 180.74365 2.072557 23.89069 0.5258588 0.7470435 1.736368 3.040887 0.5186980 97.39275 1.1288792 133.64662 183.80539 174.29211 0.5000000 0.5005854 50.66467 14.354902 0.5039304 187.53444 0.5001187 0.5002253 0.6468337 0.5000063 0.5017648 106.55940 0.5006133 0.6057247 0.5026895 39.45830 10.008472 0.9341775 0.5000576 0.5389869 0.5105759 5.420777 180.79909 0.5000596 0.5052420 195.42691 185.19363
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169.1479 157.07556 2.2560372 2.1531499 2.1176414 2.0835134 156.19499 151.69665 154.03881 154.81330 149.99315 147.01058 144.72176 149.12669 148.29662 145.72840 147.62219 148.93182 149.58886 146.92507 148.30868 148.33435 147.72658 146.67044 147.35474 148.60476 142.62350 1.796992 19.80642 0.5232397 0.7341028 1.545650 2.742308 0.5161344 78.00906 1.0371578 116.28543 143.45445 116.93786 0.5000000 0.5004917 46.02667 13.285395 0.5034025 124.24792 0.5001091 0.5002106 0.6409647 0.5000082 0.5015343 94.94362 0.5006344 0.5957076 0.5024035 40.52458 9.342771 0.8966910 0.5000619 0.5370266 0.5104766 5.130380 153.54494 0.5000596 0.5050630 139.79192 151.00548
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136.9083 165.46567 3.0516137 2.3320870 1.8473288 1.8212266 174.46493 177.16100 184.18356 195.59711 201.49091 200.13825 200.49795 196.77739 171.80393 168.82626 167.29918 167.90372 171.04280 170.36273 168.48347 168.43897 171.75273 170.37534 168.02474 168.09658 156.75214 2.013388 22.44667 0.5287493 0.7582960 1.732034 3.395305 0.5192376 92.70752 1.1247435 155.00249 152.13855 124.22758 0.5000004 0.5005720 58.50930 15.894182 0.5037958 141.14894 0.5001289 0.5002499 0.6823924 0.5000499 0.5017182 109.36096 0.5007037 0.6041569 0.5025755 45.60080 10.132952 0.9255504 0.5000576 0.5391603 0.5113822 5.493167 172.44258 0.5000596 0.5058424 154.47441 160.24037
169.2771 172.92232 2.9130211 2.4313525 2.0357345 1.9071078 178.47183 175.09612 179.76001 169.41231 170.67060 176.13817 176.28095 179.86693 162.92461 162.40853 166.65635 168.15599 164.57268 165.72447 164.37361 166.24276 163.82072 166.30113 166.70823 166.38623 155.00533 1.954303 22.29747 0.5287012 0.7531732 1.741570 3.424360 0.5188292 93.83373 1.1221783 155.84229 156.34108 123.64220 0.5000010 0.5005617 58.86446 16.443081 0.5037593 141.57016 0.5001355 0.5002536 0.6858787 0.5000531 0.5016620 113.37724 0.5006950 0.6055129 0.5026323 47.56071 10.554813 0.9270413 0.5000576 0.5398781 0.5124494 5.755343 187.74271 0.5000596 0.5064588 141.49333 158.30438
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222.8399 192.13604 2.2557106 2.2113377 1.9469387 1.7344771 189.13817 198.44426 195.57419 195.21304 201.69137 203.02970 205.55583 192.92395 168.07300 171.65800 175.63478 178.38584 167.67584 173.34520 175.80750 177.15255 166.70556 173.02557 175.68108 177.58974 175.11783 2.010593 23.12945 0.5248508 0.7404822 1.693345 2.951508 0.5178677 91.69717 1.0958214 130.10075 172.05289 220.92731 0.5000001 0.5005513 48.83252 13.847995 0.5037075 189.98053 0.5001169 0.5002097 0.6385401 0.5000033 0.5016454 101.60285 0.5005867 0.5991495 0.5025025 37.11628 9.504205 0.9045756 0.5000589 0.5368159 0.5103393 5.181195 171.43999 0.5000596 0.5050265 172.52432 173.50160
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253.3832 201.77676 3.0482059 2.5639742 2.1500975 2.0670698 208.13218 207.09426 204.85901 206.66426 206.89412 203.62250 200.02886 196.84086 195.28720 200.56446 207.60544 209.06098 195.11195 202.01479 207.03323 208.82284 196.35451 201.31865 206.52441 209.22811 194.67310 2.263428 27.86110 0.5292032 0.7629920 2.062258 3.461686 0.5244946 116.71487 1.3247088 159.79251 216.29489 199.21381 0.5000054 0.5007704 60.43401 19.620411 0.5052826 196.62595 0.5001353 0.5002982 0.6837214 0.5000572 0.5023584 136.35738 0.5007100 0.6460539 0.5036976 57.34092 13.601782 1.0913339 0.5000604 0.5548417 0.5153267 7.361560 211.38791 0.5001163 0.5072916 196.16989 218.34804
226.5625 215.85665 2.3241754 2.4030865 2.0686501 2.0393055 221.38553 226.71732 218.50789 220.29990 215.61643 210.04701 210.67579 201.07459 218.44269 221.41066 222.09687 219.93550 215.17673 221.15018 222.18993 220.55760 214.04396 220.21647 220.96602 222.18359 219.86540 2.360302 28.60689 0.5295904 0.7638223 2.110181 3.525847 0.5253502 125.15161 1.3469402 167.72388 245.26421 216.42938 0.5000059 0.5007867 62.26641 20.132141 0.5053028 216.49989 0.5001385 0.5003049 0.6866770 0.5000595 0.5023716 147.08174 0.5007122 0.6481118 0.5036933 57.86800 13.893618 1.1040776 0.5000575 0.5553777 0.5156706 7.492530 236.47235 0.5001188 0.5073504 211.69786 242.75349
184.2822 221.26254 2.9130211 2.4476619 2.1026128 2.0509373 226.69508 224.73364 217.68163 221.36951 220.12871 225.29487 224.44299 227.19118 236.53507 240.56855 242.88987 241.41048 237.66975 240.28161 245.63867 243.31016 240.39980 240.90925 244.56626 243.64777 236.85681 2.514926 29.93147 0.5303681 0.7677299 2.194606 3.598277 0.5269671 133.62500 1.3931273 169.49446 257.23727 256.82162 0.5000117 0.5008282 63.12819 20.656035 0.5056179 233.36667 0.5001463 0.5003141 0.6903269 0.5000591 0.5024818 154.22708 0.5007236 0.6531241 0.5038076 60.25509 14.522572 1.1276506 0.5000576 0.5578488 0.5162936 7.787596 252.81042 0.5001192 0.5075448 236.06284 250.29695
206.4635 222.50661 2.9649338 2.4928935 2.1915721 2.1489293 224.89483 220.07938 217.48540 213.26658 215.82803 215.45489 218.00327 213.34365 220.98382 224.00558 221.33648 223.87492 223.18066 223.14475 222.99949 225.48402 222.70412 222.84203 223.39235 224.00031 217.04706 2.334637 28.36031 0.5290588 0.7609316 2.085205 3.448508 0.5256455 125.55305 1.3611391 158.92326 220.90790 223.32388 0.5000104 0.5008107 61.36993 20.021229 0.5055596 224.75278 0.5001429 0.5003057 0.6885061 0.5000574 0.5024661 147.08647 0.5007178 0.6512860 0.5037517 60.45957 14.193594 1.1295006 0.5000589 0.5570445 0.5158644 7.607492 221.00912 0.5001190 0.5073696 236.10538 233.00926
260.8986 251.45926 2.2821236 2.0478167 1.9226598 1.9971564 254.58260 247.60638 227.89957 230.45856 223.65308 233.19593 238.48541 232.27542 279.91892 276.51431 267.80310 254.83310 277.34238 273.41230 264.51567 254.60845 279.48486 278.72145 266.46170 253.67367 256.95901 2.447671 29.49317 0.5291937 0.7633698 2.150519 3.499407 0.5265794 133.28331 1.3718808 164.52699 260.33310 259.58139 0.5000101 0.5008297 61.64948 20.107042 0.5056145 278.59650 0.5001379 0.5003057 0.6856142 0.5000568 0.5024656 156.76227 0.5007147 0.6517795 0.5037873 57.77420 14.587642 1.1224270 0.5000572 0.5578873 0.5163732 7.788459 248.56793 0.5001192 0.5073782 304.82715 251.03062
264.7636 239.56445 3.0482059 2.6149951 2.3122951 2.2112806 248.34283 248.11516 244.19386 250.07125 247.77038 253.56602 252.63646 267.53282 292.30449 283.42907 267.45832 258.49770 293.28243 281.33502 266.88383 257.01582 290.74885 282.19299 264.93235 257.04788 261.35202 2.461045 29.69874 0.5295367 0.7630646 2.142103 3.521482 0.5266043 134.93105 1.3741994 166.96552 279.57394 326.96976 0.5000082 0.5008286 61.62569 19.875668 0.5055948 334.29996 0.5001363 0.5003009 0.6850781 0.5000592 0.5024585 157.42398 0.5007106 0.6508401 0.5037469 57.65321 14.459035 1.1198407 0.5000604 0.5573269 0.5161907 7.726237 249.30992 0.5001192 0.5073202 307.05542 259.47961
190.6542 162.84867 2.3565715 2.3452169 2.0075218 1.7300135 165.92815 161.63323 162.42046 157.30122 156.06015 155.64992 161.80683 157.18993 149.40751 150.74191 153.08509 155.65595 148.63483 151.25861 153.95446 154.62939 149.79928 149.33462 153.31714 155.11673 147.28293 1.895641 21.04472 0.5273026 0.7582752 1.654891 3.165363 0.5178786 86.08945 1.0985066 138.70459 148.57542 146.80008 0.5000000 0.5005384 53.58158 14.590117 0.5036787 143.37112 0.5001200 0.5002300 0.6664896 0.5000256 0.5016316 103.28256 0.5006969 0.6008015 0.5025154 43.02152 9.833590 0.9138377 0.5000575 0.5378825 0.5108909 5.331278 156.61026 0.5000596 0.5053385 140.00070 151.10690
249.1346 213.00068 2.3465778 2.4370454 2.2455515 1.9365927 197.37279 199.30567 208.57313 211.99146 210.45910 211.79377 212.31474 200.39778 204.15879 198.16993 197.99123 193.15967 199.23830 200.91612 197.67896 192.55564 201.45388 199.75189 199.57274 194.22120 188.51733 2.051399 23.41473 0.5287326 0.7628891 1.751011 3.391863 0.5190444 99.41938 1.1294073 157.50505 193.89482 175.87839 0.5000009 0.5005813 58.56963 15.181878 0.5038791 196.01187 0.5001261 0.5002401 0.6795378 0.5000424 0.5017168 114.11949 0.5007109 0.6056753 0.5026535 43.72421 10.304015 0.9296979 0.5000627 0.5397543 0.5111837 5.547329 207.44527 0.5000596 0.5055733 209.08562 194.93315
217.3819 225.37513 3.0516137 2.2988390 2.0006213 1.7108306 200.11333 198.69355 211.41653 228.38086 223.13735 221.11844 220.72446 226.95439 255.30148 242.19648 240.92731 238.38583 253.12242 246.30526 242.90266 233.83180 251.52151 246.37819 240.05512 232.64874 201.53748 2.148833 24.57236 0.5292035 0.7626423 1.833126 3.470662 0.5201605 105.97382 1.1680669 163.01126 221.51501 237.61417 0.5000015 0.5006109 59.94579 17.035107 0.5040221 246.64981 0.5001317 0.5002638 0.6847264 0.5000538 0.5017954 123.18435 0.5007099 0.6134571 0.5028158 48.55078 10.906779 0.9484130 0.5000576 0.5410520 0.5121804 5.882312 219.55270 0.5000596 0.5065904 248.47684 211.24274
190.9413 194.94368 2.3610920 2.4410326 2.0858448 1.9552653 200.43915 204.75911 197.88220 197.55890 189.41783 183.72034 184.71208 174.35746 181.77555 179.68846 181.26612 182.71544 179.27964 180.19953 181.63197 180.93849 180.64508 180.10885 180.94021 180.89827 185.61143 2.102947 23.76672 0.5292137 0.7634383 1.836135 3.477925 0.5206187 104.84744 1.1743617 164.99973 202.47861 182.58360 0.5000014 0.5006149 61.28145 17.097864 0.5040948 196.46742 0.5001326 0.5002643 0.6850839 0.5000580 0.5017817 122.82755 0.5007088 0.6146185 0.5028327 48.25964 11.210594 0.9568879 0.5000562 0.5427947 0.5123721 6.067747 221.92676 0.5000601 0.5066490 190.16579 204.10170
249.2252 176.06792 2.3565715 2.3452169 2.0341074 1.9832079 207.33692 208.37838 209.56528 214.61768 229.45391 223.34024 219.45753 221.37365 175.23585 179.88806 182.92981 179.03696 178.06068 179.27884 179.45525 180.19639 176.96467 178.28851 180.83816 180.35501 173.18924 2.006958 23.57597 0.5291600 0.7623056 1.748906 3.476509 0.5188010 94.80757 1.1286486 162.61037 188.47926 169.50859 0.5000004 0.5005614 60.42944 16.584263 0.5037851 172.49924 0.5001325 0.5002594 0.6844545 0.5000572 0.5016838 110.13379 0.5007082 0.6034726 0.5025876 44.06100 10.055246 0.9226084 0.5000575 0.5386367 0.5110664 5.433772 205.73108 0.5000596 0.5065835 178.97278 176.82254
190.9054 193.06940 3.0516137 2.2581507 2.1947010 2.1471201 178.98946 181.66932 184.54400 185.87441 179.02310 180.88213 184.57012 185.76784 172.30966 170.53673 167.17986 166.94910 170.42204 169.63385 168.37960 167.23671 169.85416 168.49772 169.97629 167.59836 173.82394 2.048372 23.36287 0.5227257 0.7245436 1.780788 2.804398 0.5203488 102.85838 1.1907598 125.28727 185.10541 230.56413 0.5000034 0.5006795 47.59714 16.351214 0.5046419 202.63939 0.5001070 0.5002536 0.6429734 0.5000333 0.5021006 122.71228 0.5005811 0.6229601 0.5030443 49.24832 11.752251 1.0046413 0.5000576 0.5465118 0.5123164 6.283292 173.60071 0.5001001 0.5058069 194.98366 198.97566
289.4326 211.57010 3.0504537 2.6179944 2.3050139 2.2290753 205.96911 199.21438 200.31288 199.90090 207.47974 204.27248 209.50572 210.16238 194.68811 196.78510 197.70784 193.63902 192.27812 195.98248 195.01514 195.03926 192.52671 195.15864 194.51199 195.32267 195.68156 2.217549 26.59345 0.5264026 0.7370679 1.945260 3.168327 0.5240303 117.94772 1.3076273 146.49336 208.88458 217.36624 0.5000051 0.5007715 57.25120 19.095545 0.5053065 205.17191 0.5001332 0.5002940 0.6813414 0.5000532 0.5023872 137.35687 0.5006700 0.6469574 0.5036881 57.90454 13.590200 1.1054646 0.5000575 0.5546966 0.5153120 7.335019 201.92787 0.5001188 0.5072032 201.93901 217.68689
191.0376 217.27071 2.9649338 2.5426299 2.2369990 2.1628437 217.23917 212.03541 214.03547 211.10899 212.15105 213.03819 205.22740 207.38550 224.22056 229.16289 224.49879 225.39312 226.00982 225.93118 228.28077 222.39276 226.61170 227.35088 230.12050 225.42268 225.73885 2.341562 27.78375 0.5280312 0.7475335 2.039211 3.385398 0.5257661 129.81120 1.3589337 154.43359 236.62245 239.97073 0.5000110 0.5008217 59.84146 19.926294 0.5056698 246.68982 0.5001419 0.5003056 0.6870173 0.5000566 0.5025028 153.90494 0.5006883 0.6521581 0.5037584 60.41836 14.589949 1.1308863 0.5000589 0.5586191 0.5163605 7.830714 230.02565 0.5001192 0.5074100 260.80164 242.05930
249.5698 241.29051 3.0516137 2.3857493 2.2964896 2.2186853 245.26593 239.58260 235.49102 240.27654 236.59983 234.91113 237.90137 238.41931 240.63620 235.25596 230.00924 218.93643 240.99073 235.42240 226.81215 217.17020 239.27231 233.96642 227.81059 220.16663 229.11749 2.310057 27.01938 0.5262764 0.7375794 2.000600 3.201020 0.5249246 127.92365 1.3275659 147.88350 235.35100 244.14946 0.5000068 0.5008085 57.28606 19.226387 0.5055616 253.11522 0.5001349 0.5002992 0.6797975 0.5000536 0.5024589 152.48837 0.5006623 0.6501850 0.5037345 57.28559 14.470012 1.1202006 0.5000576 0.5575129 0.5162004 7.759217 226.24123 0.5001192 0.5073288 254.01628 239.53696
253.4694 248.32752 3.0917644 2.7178281 2.3643418 2.2969444 234.95010 234.02667 234.83829 233.39468 235.50289 232.44832 230.13350 235.07488 240.48487 228.11140 213.76162 203.46788 239.46496 226.73052 212.23663 204.59722 239.51385 224.16562 213.31077 207.07824 211.67345 2.264991 25.61943 0.5244844 0.7269245 1.884672 2.989151 0.5231549 117.66965 1.2625406 136.58159 219.97162 233.28149 0.5000080 0.5007453 52.35333 18.076294 0.5053069 257.06525 0.5001202 0.5002816 0.6637332 0.5000450 0.5023822 145.68530 0.5006205 0.6436247 0.5036439 55.33372 13.778809 1.0989217 0.5000575 0.5554165 0.5154795 7.351157 204.82692 0.5001191 0.5068508 275.26529 228.67708
298.9040 241.03339 3.0787327 2.5493313 2.2669320 2.2208397 228.93308 228.76422 227.90090 225.55042 236.90294 236.40882 242.24068 241.14340 195.55348 188.22612 185.75938 185.78423 195.73166 190.86020 183.45284 180.61193 196.59843 190.32119 186.08233 181.29086 197.49399 2.073201 23.95462 0.5230572 0.7223713 1.806228 2.899760 0.5205228 110.96373 1.2158389 125.28629 194.32210 217.10643 0.5000042 0.5007181 47.75358 16.942440 0.5048337 228.74719 0.5001065 0.5002589 0.6463404 0.5000337 0.5022469 133.33887 0.5005804 0.6304863 0.5033141 50.65273 12.671115 1.0567433 0.5000627 0.5471437 0.5132087 6.603790 186.40462 0.5001173 0.5064166 246.64435 210.34579
268.7162 248.65254 3.0482059 2.5221411 2.2677593 2.1868013 247.51908 239.99229 242.80101 242.63094 243.53100 241.27406 240.59913 237.32994 246.03690 238.22407 228.04237 223.27495 247.20303 238.10883 230.86999 222.45346 246.09833 237.69572 231.54529 222.46242 230.46097 2.284826 27.26154 0.5270044 0.7379825 2.012486 3.259352 0.5251421 126.32803 1.3286573 149.50372 229.97331 244.55629 0.5000068 0.5008130 57.30916 19.163189 0.5055526 260.76401 0.5001316 0.5002941 0.6786832 0.5000542 0.5024554 147.79811 0.5006579 0.6505767 0.5037398 57.58926 14.416295 1.1197078 0.5000604 0.5573116 0.5160362 7.692976 219.83411 0.5001192 0.5072645 273.89941 235.35025
339.9621 259.46983 3.0787327 2.6427742 2.3117503 2.2027064 267.15106 269.66291 263.08020 268.33379 263.31004 266.76366 270.79965 262.51281 271.60011 269.07986 264.05409 258.94125 272.17355 271.87197 263.22362 255.38052 270.63102 271.32967 264.08370 254.82923 258.25516 2.470010 29.16274 0.5295045 0.7631181 2.155985 3.538895 0.5264958 136.27592 1.3771460 167.90176 275.36450 287.33597 0.5000085 0.5008292 62.27016 20.304228 0.5056156 268.38632 0.5001381 0.5003034 0.6852279 0.5000595 0.5024812 160.13402 0.5007112 0.6479399 0.5036216 57.68169 14.471177 1.1187030 0.5000627 0.5569867 0.5161714 7.741640 263.57581 0.5001192 0.5073870 263.91525 264.12210
313.4562 282.52380 3.0516137 2.3857493 2.2824495 2.1965438 287.87942 293.26968 294.29792 284.06336 286.16724 285.85487 285.36674 287.65411 313.62401 301.27104 283.53064 270.23940 310.90083 303.40579 281.89080 271.53138 311.81397 301.56670 282.99286 270.88280 277.28781 2.516048 30.21159 0.5295555 0.7633823 2.162862 3.528044 0.5268406 137.76514 1.3832695 168.83148 289.99170 316.52243 0.5000085 0.5008320 62.17753 20.091286 0.5055964 295.62488 0.5001400 0.5003050 0.6864555 0.5000595 0.5024589 162.15942 0.5007101 0.6504344 0.5037354 57.30656 14.514673 1.1204168 0.5000576 0.5575827 0.5162650 7.772334 267.85727 0.5001192 0.5073400 314.11224 277.91058
217.7610 266.35436 3.0482059 2.5221411 2.2677593 2.1868013 275.33974 272.96263 281.46467 280.81580 274.34203 270.23189 274.75815 269.32327 264.49261 255.21975 251.17330 243.26228 267.15369 257.19413 250.33907 241.48840 263.64551 257.26556 248.75714 242.85176 242.03455 2.358416 28.50974 0.5284691 0.7524571 2.087393 3.412112 0.5259252 129.99602 1.3589301 154.30243 246.00136 248.43602 0.5000075 0.5008240 59.05978 19.514185 0.5055783 255.42047 0.5001326 0.5002968 0.6810092 0.5000553 0.5024565 149.49432 0.5006796 0.6506866 0.5037398 57.56487 14.427589 1.1197078 0.5000604 0.5572702 0.5160856 7.708696 228.10338 0.5001192 0.5072657 276.65668 241.05168
191.1984 141.87462 3.0787327 2.5914297 2.2648545 2.1757118 130.63908 133.73685 134.88882 135.45797 136.47591 135.04580 136.18489 135.84307 122.20915 124.96837 127.40950 126.14364 123.93331 125.49159 126.43681 127.68309 123.99411 125.07166 126.59642 128.06325 125.79127 1.692370 18.59983 0.5221640 0.7215743 1.440210 2.720717 0.5143480 71.35558 0.9786393 114.66385 131.46027 125.87137 0.5000000 0.5004262 43.38400 11.867588 0.5027571 123.96619 0.5000907 0.5001865 0.6370004 0.5000194 0.5011972 83.36794 0.5005797 0.5775489 0.5018695 36.50927 7.693430 0.8091711 0.5000627 0.5289255 0.5083538 4.183842 134.71458 0.5000596 0.5040990 117.25989 125.30477
223.4874 203.61417 2.3610920 2.4410326 2.1022329 1.9795971 209.31147 213.24085 205.97549 207.92796 197.82091 195.64135 198.63049 185.14123 215.46146 214.92152 216.73066 218.31080 215.42638 218.00021 216.79808 216.55615 216.76397 216.73994 216.25738 218.08105 217.36324 2.319417 28.12816 0.5293696 0.7634956 2.085926 3.506388 0.5245300 123.22672 1.3187337 166.54562 252.85783 241.53413 0.5000027 0.5007608 62.18644 19.910584 0.5052038 242.93060 0.5001376 0.5003008 0.6851915 0.5000596 0.5023254 144.78552 0.5007090 0.6407603 0.5035433 56.12620 13.645307 1.0738000 0.5000562 0.5539415 0.5152526 7.320074 245.70023 0.5001181 0.5073125 240.76465 251.16541
239.4079 215.04402 2.3610920 2.4410326 2.0858448 1.9374057 216.95545 224.49105 224.64013 217.76164 221.21946 221.67179 220.93248 230.87370 236.58365 230.22911 226.05991 223.77813 235.29551 231.90440 227.52746 223.24619 237.54719 229.56083 227.12285 222.64149 230.18477 2.350706 28.66331 0.5293460 0.7633643 2.081234 3.490312 0.5247335 127.15574 1.3347106 165.78152 260.55450 297.04019 0.5000036 0.5007861 62.10270 19.903374 0.5053242 297.44876 0.5001373 0.5003017 0.6849974 0.5000593 0.5023710 151.04610 0.5007090 0.6457587 0.5036409 56.21956 14.056846 1.1003388 0.5000562 0.5541047 0.5156133 7.510723 245.92053 0.5001192 0.5073125 275.26138 264.60156
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239.4219 194.97270 3.0787327 2.5914297 2.2648545 2.1459120 199.16306 195.19646 194.78989 190.59460 190.09507 193.44952 185.33590 180.90989 191.01423 197.99048 197.12590 199.20274 190.24302 198.45863 201.89101 200.77442 191.59547 195.72282 198.91165 199.71352 189.88971 2.250754 25.32392 0.5267863 0.7363865 1.982497 3.275659 0.5240148 115.98785 1.2977368 144.94945 215.93407 168.53853 0.5000047 0.5007647 55.53856 19.205374 0.5052541 167.22594 0.5001269 0.5002877 0.6708508 0.5000494 0.5023534 137.70828 0.5006371 0.6436145 0.5035987 56.14772 13.451728 1.0900360 0.5000627 0.5540107 0.5151331 7.305872 212.65710 0.5001144 0.5071784 147.32559 220.95488
217.7333 199.95861 3.0787327 2.6427742 2.3117503 2.2163595 191.84538 187.76488 190.25831 188.23061 190.37708 187.31027 183.11399 184.77723 205.26198 201.10675 200.95425 201.78796 203.94439 205.42302 202.04771 200.05108 204.27200 204.29690 201.13442 200.20502 191.77513 2.264693 25.90301 0.5249839 0.7268971 1.984141 3.153652 0.5237675 120.37937 1.3047179 139.43364 219.36998 230.97813 0.5000050 0.5007747 53.25611 19.054892 0.5053560 209.76624 0.5001236 0.5002862 0.6689797 0.5000479 0.5023790 142.16562 0.5006188 0.6452410 0.5036095 56.18535 13.616812 1.1089061 0.5000627 0.5545720 0.5151764 7.367897 209.46045 0.5001155 0.5071784 202.22021 225.21329
178.7466 148.97726 2.3465778 2.4370454 2.1415354 1.8722859 154.33373 155.78680 153.99150 158.57833 159.64741 158.11726 152.90931 149.76062 160.73733 160.55278 159.12176 158.94705 159.85782 159.76745 158.78898 159.12192 159.83585 159.13790 159.39731 158.54761 148.98166 1.967396 22.24271 0.5258817 0.7505569 1.666017 2.990052 0.5178359 86.94624 1.0926945 128.15227 143.72157 160.16933 0.5000001 0.5005447 49.69318 14.201413 0.5036250 168.41728 0.5001175 0.5002189 0.6469989 0.5000069 0.5016252 100.47183 0.5006414 0.5984995 0.5024582 40.54115 9.598522 0.9052695 0.5000627 0.5372175 0.5105436 5.222036 145.08856 0.5000596 0.5050989 158.42824 149.88232
186.4214 174.72557 2.2560372 2.1137655 1.9452536 1.8944160 179.75748 181.70370 180.95745 189.01132 188.03233 196.53609 195.21312 207.98753 169.25473 168.14152 168.13087 168.49495 170.23076 168.53784 169.56769 169.91089 168.74588 168.40148 169.00674 169.21947 160.53215 1.994256 22.54286 0.5288206 0.7653880 1.728514 3.405855 0.5188842 91.61856 1.1196320 159.73538 166.65767 165.83008 0.5000007 0.5005721 58.67540 15.523862 0.5037112 159.40680 0.5001303 0.5002451 0.6820884 0.5000464 0.5016792 108.49799 0.5007176 0.6033012 0.5025493 44.98698 9.999810 0.9199303 0.5000619 0.5385200 0.5112879 5.440708 173.26056 0.5000596 0.5057441 160.85605 160.24948
190.9680 194.94458 3.0504537 2.5501206 2.1391725 2.0298256 201.93693 204.96954 203.38560 209.90433 209.32439 213.41769 216.53534 228.74140 198.90372 199.44492 201.15420 200.41392 198.43980 201.60268 199.98424 199.49791 202.03434 200.69055 199.89213 201.05911 191.27557 2.266588 27.13678 0.5290696 0.7625524 2.043369 3.471605 0.5240846 115.93898 1.3130388 161.50279 211.42023 210.19313 0.5000033 0.5007573 61.36026 19.662912 0.5052028 206.27097 0.5001373 0.5002974 0.6854240 0.5000575 0.5023561 135.39664 0.5007122 0.6428380 0.5036525 57.73761 13.326210 1.0826741 0.5000575 0.5541795 0.5149871 7.186332 199.77589 0.5001187 0.5072173 196.53510 209.85739
182.0213 198.42617 2.9130211 2.4476619 2.0506308 1.9646893 205.52304 206.23004 208.61841 212.08043 210.39779 204.30913 199.94871 197.17722 212.89508 212.03169 212.20009 211.31366 212.00229 213.94980 215.64465 217.64925 210.91615 210.64093 214.28225 215.23943 197.24014 2.396929 28.30018 0.5297435 0.7646580 2.136665 3.506959 0.5257490 123.12624 1.3648601 161.12378 221.12830 221.25966 0.5000085 0.5008067 61.75355 20.454142 0.5054898 208.22629 0.5001448 0.5003092 0.6891865 0.5000575 0.5024472 139.88414 0.5007185 0.6468356 0.5037144 60.12477 13.902914 1.1051955 0.5000576 0.5563734 0.5155568 7.542081 201.80823 0.5001191 0.5075116 205.95145 216.70180
257.4241 217.64154 2.2821236 1.9427806 1.8190368 1.8625951 223.25950 230.29041 228.66745 227.13348 221.52438 213.48836 211.99214 217.68408 218.44444 222.00337 222.57240 218.72337 221.27770 223.19791 220.52614 221.07319 224.32577 223.36742 221.46082 221.67778 209.17439 2.310527 28.16843 0.5291325 0.7629414 2.098704 3.492147 0.5255613 128.50385 1.3604306 165.17117 216.31660 229.03217 0.5000083 0.5008112 61.74643 20.033632 0.5055262 212.55611 0.5001367 0.5003037 0.6865796 0.5000581 0.5024572 151.95969 0.5007175 0.6509197 0.5037798 57.81996 14.275696 1.1211628 0.5000572 0.5573304 0.5159184 7.635815 212.85481 0.5001192 0.5072774 203.36424 228.07860
191.0810 221.72553 2.2821236 1.9806293 1.8612938 1.9118570 227.91923 234.20236 230.75784 231.57061 224.28136 219.03334 221.53268 211.89759 226.25704 227.76760 229.62089 224.61000 226.01492 230.05776 227.11301 226.62989 227.23573 229.50958 228.27176 226.94785 221.14394 2.349384 28.51454 0.5291426 0.7630216 2.116789 3.491425 0.5257923 130.41473 1.3668092 165.53864 213.67105 231.26355 0.5000091 0.5008131 61.81371 20.102135 0.5055367 242.72571 0.5001367 0.5003040 0.6865796 0.5000581 0.5024594 153.92972 0.5007175 0.6509404 0.5037807 57.81996 14.342523 1.1211628 0.5000572 0.5574945 0.5159914 7.655084 216.56113 0.5001192 0.5072774 243.35825 229.63084
217.6268 228.85005 3.0787327 2.5914297 2.1756768 2.0521650 234.67006 239.73436 242.99312 243.40454 238.27134 237.10559 237.79430 230.69539 224.42711 224.74675 225.45749 223.12740 224.87352 224.10032 224.58856 222.56726 225.78398 225.16298 223.42562 222.15175 221.05161 2.317823 28.42329 0.5292429 0.7623211 2.099167 3.499697 0.5252531 128.51720 1.3599038 165.80667 211.64401 199.52318 0.5000076 0.5007860 61.91869 20.105394 0.5053739 205.46835 0.5001374 0.5003008 0.6846141 0.5000585 0.5023756 152.33145 0.5007112 0.6473603 0.5036152 57.64015 13.928119 1.1143245 0.5000627 0.5547467 0.5156310 7.458940 220.62984 0.5001154 0.5073472 226.27563 222.78123
187.1938 142.54040 0.0451952 0.6414120 0.7166383 0.7286796 147.59922 150.07716 146.89397 153.61838 150.23418 154.82545 160.95693 164.65975 150.82854 147.20533 149.93156 150.39435 148.50675 149.23707 148.45529 151.24312 150.07662 151.29535 149.14816 150.75623 148.15625 1.942254 21.58654 0.5239199 0.7300331 1.608963 2.883215 0.5172812 84.58793 1.0738966 124.54453 157.13443 147.07970 0.5000000 0.5005341 46.33852 13.742339 0.5035521 140.41383 0.5001088 0.5002103 0.6328239 0.5000023 0.5015956 97.81811 0.5005353 0.5931514 0.5022769 37.30339 9.302198 0.8847809 0.5000575 0.5359613 0.5101989 5.074978 155.92818 0.5000596 0.5049439 140.81584 150.79459
209.1321 202.11054 3.0917644 2.5327604 2.2070826 2.1267265 243.52053 246.50636 248.93814 238.27968 246.37375 241.11208 248.02608 250.97882 198.07402 197.43691 200.13729 198.18289 195.28512 198.33442 197.94831 200.03058 194.64387 197.42313 198.24499 198.26411 182.59447 2.226765 26.84060 0.5276920 0.7496589 2.017129 3.320661 0.5238510 110.92334 1.3090357 152.04234 205.56999 195.90849 0.5000057 0.5007737 58.87608 19.497227 0.5052948 216.21552 0.5001341 0.5003006 0.6807351 0.5000552 0.5023925 128.09485 0.5006864 0.6460016 0.5037256 56.74925 13.353470 1.1006289 0.5000575 0.5544936 0.5149837 7.237649 195.85049 0.5001192 0.5073707 210.34909 197.77316
328.9600 231.01689 2.3465778 2.4261274 2.0622992 1.9356261 230.85415 237.03828 241.65791 236.42867 238.02201 238.87773 239.04820 235.02612 205.91806 209.47945 212.54154 213.18736 203.56236 209.07857 212.44052 211.91593 207.30651 209.72098 211.36507 210.88601 216.54498 2.260668 26.99017 0.5292221 0.7624408 2.060573 3.495135 0.5249253 125.26618 1.3432180 165.20084 220.33722 214.47479 0.5000067 0.5007820 61.70731 19.980095 0.5053570 203.82330 0.5001374 0.5003004 0.6845290 0.5000584 0.5023735 150.72067 0.5007112 0.6473393 0.5036152 57.64015 13.904242 1.1133683 0.5000627 0.5540981 0.5156163 7.472130 221.66222 0.5001154 0.5073472 181.91850 232.44395
298.8572 227.43431 2.3610920 2.4410326 2.1022329 2.0361121 231.68891 238.90919 235.74810 229.01278 231.55795 227.87278 225.94151 236.83996 246.41516 236.36447 227.80201 224.26614 249.01357 236.14824 228.76752 223.52685 246.13538 237.71496 229.68797 224.19641 221.88998 2.265619 27.54409 0.5290764 0.7624101 2.078829 3.453317 0.5250597 125.00237 1.3345912 163.35008 228.50528 256.54208 0.5000037 0.5007846 61.54701 19.697987 0.5053257 246.82816 0.5001364 0.5002986 0.6842300 0.5000581 0.5023794 147.98366 0.5007087 0.6457506 0.5036536 56.39850 13.678494 1.1011686 0.5000562 0.5543699 0.5154713 7.293287 222.31464 0.5001187 0.5072277 239.44615 233.43770
318.4643 232.19948 3.0504537 2.5670620 2.1546461 2.0888269 238.04420 245.71450 239.98708 237.71606 239.47860 234.17739 230.04111 234.50194 243.35131 240.70995 234.22119 227.32821 247.48236 238.45998 231.67145 228.62105 243.97814 238.14271 232.66558 229.41570 233.66368 2.360333 28.59495 0.5293937 0.7633294 2.104608 3.495550 0.5254244 128.60657 1.3585459 165.44926 236.76971 218.60832 0.5000076 0.5007915 61.87889 19.910608 0.5053430 223.79108 0.5001378 0.5003011 0.6859779 0.5000580 0.5023879 150.35825 0.5007122 0.6472979 0.5036916 57.96970 13.837444 1.1078044 0.5000575 0.5553796 0.5156313 7.440963 223.24451 0.5001188 0.5072283 227.06094 236.38129
329.0091 247.38454 3.0917644 2.6014673 2.2698364 2.2105290 251.50999 259.27724 257.71809 251.22666 259.11816 257.38954 255.59599 260.41096 275.72805 271.19295 262.08247 250.54787 276.34968 271.09323 260.43859 251.03341 274.44900 269.30943 260.86498 250.20943 260.06549 2.504350 30.53875 0.5293815 0.7625304 2.180275 3.516763 0.5268938 137.02228 1.3821552 166.75966 269.76047 307.03110 0.5000110 0.5008265 61.66806 20.440493 0.5055394 316.56851 0.5001368 0.5003092 0.6854316 0.5000596 0.5024335 161.97549 0.5007082 0.6515794 0.5037678 59.02024 14.513281 1.1162254 0.5000575 0.5575680 0.5164694 7.752153 251.86571 0.5001192 0.5074166 325.52655 268.43320
223.5684 243.36035 3.0482059 2.6149951 2.3122951 2.2212516 250.14822 249.85930 240.11273 244.00275 239.97069 245.67125 245.35375 252.25785 269.93154 267.72630 258.02249 249.99595 274.36239 267.00310 255.93664 250.21598 272.76393 266.35645 256.20462 248.74776 251.49120 2.411969 29.57269 0.5295056 0.7629920 2.131739 3.512552 0.5264316 133.82518 1.3722690 166.51904 272.54721 296.63715 0.5000080 0.5008262 61.51807 19.884501 0.5055902 295.66406 0.5001363 0.5003014 0.6853597 0.5000591 0.5024566 155.53577 0.5007105 0.6507879 0.5037448 57.65321 14.423024 1.1200163 0.5000604 0.5574093 0.5161426 7.722860 248.24445 0.5001192 0.5073199 294.94589 254.42871
444.2261 247.31284 3.0968460 2.5648422 2.2966418 2.1527418 258.04886 260.28697 260.09478 266.53621 269.48405 276.80390 279.37437 271.78849 288.12913 279.68844 265.75354 253.56136 288.79785 278.66654 265.25644 254.43157 290.03414 280.83695 264.96373 253.65717 257.84796 2.493386 30.00312 0.5293887 0.7635376 2.138272 3.501268 0.5262117 134.78072 1.3671451 164.37752 274.49850 281.24670 0.5000049 0.5008153 61.75356 19.992891 0.5054867 290.49081 0.5001374 0.5003030 0.6850355 0.5000594 0.5024075 156.12457 0.5007084 0.6480973 0.5036736 56.39850 14.236758 1.1088740 0.5000562 0.5561336 0.5159900 7.622681 250.51247 0.5001192 0.5073056 289.23444 258.89172
345.8616 246.10273 3.0482059 2.5221411 2.2677593 2.1722235 267.22225 259.36716 263.59154 263.56940 262.17207 266.72701 268.67645 267.33382 311.88238 294.96908 276.91280 263.91960 317.13134 296.12474 276.89166 263.28776 313.77910 294.16694 275.74255 264.28819 262.76813 2.472761 29.71978 0.5295355 0.7630646 2.148682 3.523942 0.5268134 136.38881 1.3785287 166.98352 291.55252 365.01849 0.5000083 0.5008309 61.74919 19.964451 0.5056014 321.97620 0.5001364 0.5003019 0.6850241 0.5000592 0.5024590 159.30183 0.5007106 0.6508590 0.5037482 57.65321 14.507496 1.1200008 0.5000604 0.5573397 0.5162390 7.743656 256.63303 0.5001192 0.5073261 304.63220 269.66190
179.7985 194.58495 2.2560372 2.1531499 2.0657404 2.1593993 190.12673 183.04297 186.04391 181.29873 184.58380 182.13314 181.54467 187.90185 176.30278 174.10118 174.74391 173.63770 177.40795 177.42186 174.95503 173.59874 175.91911 176.15930 174.22788 172.04414 167.98701 2.004733 23.40927 0.5260875 0.7412841 1.760965 3.179303 0.5195011 92.61498 1.1405621 149.71050 195.66273 182.85342 0.5000009 0.5005690 57.05831 17.419624 0.5036896 185.83577 0.5001355 0.5002695 0.6810746 0.5000538 0.5015767 111.34195 0.5006838 0.6069513 0.5026622 48.39574 10.302300 0.9221631 0.5000619 0.5388945 0.5121186 5.579431 199.86543 0.5000596 0.5071241 177.86969 182.39734
187.4329 192.84513 2.2821236 2.1616042 1.9633704 1.9941522 192.09349 197.86983 191.31371 194.95482 177.76552 171.21661 165.82154 158.90356 166.19568 166.17259 163.81583 165.31604 167.43921 165.11570 164.47083 163.63280 166.93010 166.44630 163.21355 161.98695 155.04004 1.858689 20.33827 0.5228320 0.7250088 1.603121 2.794104 0.5173091 85.76550 1.0834768 127.71809 172.96350 159.65828 0.5000005 0.5005248 49.74504 15.286938 0.5033730 167.89462 0.5001066 0.5002331 0.6531643 0.5000349 0.5013956 99.14240 0.5006154 0.5937589 0.5022522 42.16786 8.920446 0.8597910 0.5000572 0.5326887 0.5101933 4.784896 179.13213 0.5000596 0.5058961 165.95456 165.91841
191.2361 186.37355 3.0917644 2.7178281 2.3974603 2.3030754 230.12040 248.04719 247.05119 244.45340 235.87237 236.62089 241.01942 246.03248 182.38527 174.47983 171.34671 173.36627 183.25423 172.95916 172.08429 171.55566 182.88070 174.82814 171.79206 171.28371 159.01315 1.935005 21.19125 0.5231494 0.7240736 1.648554 2.844629 0.5176456 87.56204 1.0934409 128.02069 179.32654 187.01022 0.5000011 0.5005500 48.82228 14.971610 0.5034305 184.46466 0.5001084 0.5002308 0.6529275 0.5000377 0.5014830 99.63258 0.5006039 0.5919914 0.5023289 40.55369 8.590549 0.8464177 0.5000575 0.5306783 0.5094594 4.540278 176.95985 0.5000596 0.5057685 181.12022 173.06061
216.7175 160.56681 2.3565715 2.0800708 1.7775585 1.5225441 167.02274 164.80456 161.51341 152.89312 148.67633 145.05545 142.46665 147.88778 164.35281 169.52334 171.02936 172.76793 163.71952 166.62697 169.86863 171.70385 164.60895 168.49376 169.91867 171.55797 162.09830 2.005372 22.94277 0.5267645 0.7600992 1.699415 3.103762 0.5184329 93.16696 1.1141094 139.68803 175.34538 159.81871 0.5000001 0.5005634 52.77750 14.496606 0.5037996 140.32314 0.5001198 0.5002304 0.6569264 0.5000162 0.5016854 105.96185 0.5006897 0.6036203 0.5026026 41.81089 9.995316 0.9233492 0.5000575 0.5385911 0.5107673 5.416042 176.14543 0.5000596 0.5052782 130.35187 174.14209
200.0904 123.79284 2.3610920 2.0843803 1.8820942 1.6900438 124.11842 118.51448 120.06951 119.32578 119.69636 119.05204 115.73692 112.53570 126.56003 128.33230 129.15918 131.69747 127.61981 129.37869 130.18784 132.07055 126.78461 129.00322 130.18438 131.54629 125.81729 1.762342 18.67226 0.5217332 0.7069416 1.481989 2.621048 0.5157332 74.55320 1.0151994 103.84075 137.79710 142.80219 0.5000000 0.5004857 42.88877 13.080246 0.5033170 139.00191 0.5001025 0.5002022 0.6304581 0.5000012 0.5014779 91.07841 0.5005081 0.5904428 0.5022245 39.26343 9.043196 0.8745946 0.5000562 0.5352194 0.5102707 4.959238 125.50249 0.5000596 0.5049703 137.68054 131.88385
211.3712 156.45127 2.3465778 2.3289157 2.0835193 1.8200479 161.50265 165.21106 161.84750 168.89596 165.14317 168.79035 172.60944 163.93826 176.14182 176.68737 172.07675 172.19967 176.14723 175.07727 172.05661 172.06106 175.89279 174.66985 174.00548 172.05884 167.37567 2.005841 22.96466 0.5262802 0.7518823 1.697160 3.052180 0.5181121 91.37550 1.1046942 135.56348 172.83626 165.96852 0.5000002 0.5005552 50.99799 14.356684 0.5037128 171.83583 0.5001184 0.5002226 0.6483299 0.5000091 0.5016604 104.98907 0.5006424 0.6009486 0.5025374 40.56121 9.771853 0.9154848 0.5000627 0.5378646 0.5105596 5.310196 172.28593 0.5000596 0.5051564 171.58170 171.77499
206.3986 222.22470 2.2557106 2.3493123 2.0740243 2.0657104 221.94062 205.66241 211.27331 213.37121 222.00386 224.31463 221.37273 216.32105 224.88517 225.88495 223.25179 217.08302 228.42372 225.65997 224.83457 218.44991 229.12146 225.37166 221.98847 218.40836 214.16245 2.339553 28.00513 0.5278975 0.7461184 2.035471 3.383877 0.5251682 123.95840 1.3296517 157.20807 250.78557 220.56291 0.5000095 0.5007913 60.26664 19.945713 0.5054405 215.72636 0.5001425 0.5003061 0.6869504 0.5000566 0.5024115 148.87720 0.5006998 0.6482140 0.5036550 60.40147 14.187754 1.1162641 0.5000589 0.5571802 0.5160676 7.648028 242.00824 0.5001190 0.5074152 222.42804 251.05579
308.4718 337.82258 2.2560372 2.2657845 2.1972363 2.2350922 339.35006 339.93137 328.95473 320.54626 323.22101 326.83950 325.02047 322.05491 296.51303 294.83768 283.45743 275.29115 294.09728 297.18783 286.57804 272.75526 298.50710 298.18700 284.83492 272.15787 273.92911 2.612050 31.28459 0.5298069 0.7675076 2.200275 3.560782 0.5270311 138.58578 1.3951848 170.75398 277.71350 275.08008 0.5000114 0.5008359 62.94910 20.538647 0.5056460 291.31610 0.5001445 0.5003104 0.6882577 0.5000595 0.5024759 162.84261 0.5007191 0.6524673 0.5037830 59.09060 14.667919 1.1249502 0.5000619 0.5575508 0.5164598 7.842315 271.10919 0.5001192 0.5074924 329.78674 273.02713
217.3308 229.59895 2.2821236 1.9427806 1.6535552 1.6160227 188.14489 159.54901 134.13148 136.34451 134.75885 129.45870 127.56379 134.58906 201.56457 212.90137 217.29575 221.46519 196.85747 205.48036 220.30673 223.89876 196.91288 205.07514 218.50897 224.95134 217.89589 2.357014 28.00362 0.5293885 0.7641228 2.119160 3.506344 0.5243245 130.32620 1.3603642 166.28224 226.05899 187.11760 0.5000093 0.5008157 61.93860 20.098341 0.5055486 197.42737 0.5001376 0.5003056 0.6870868 0.5000587 0.5024579 158.79990 0.5007175 0.6516369 0.5037841 57.81996 14.576223 1.1224270 0.5000572 0.5472553 0.5161494 7.728200 230.87781 0.5001192 0.5073974 241.28940 244.52429
191.6498 272.57846 3.0516137 2.3857493 2.2414763 2.1828970 269.98789 272.01260 274.52837 266.39159 266.23817 269.25908 270.59798 260.35618 281.83224 272.55883 259.32446 253.83367 275.96788 273.75336 259.12479 253.97082 276.34397 270.17437 261.62237 253.23240 260.92206 2.435155 29.72063 0.5295441 0.7632309 2.143852 3.527407 0.5260696 135.76703 1.3727281 168.49547 260.90872 301.37506 0.5000084 0.5008253 62.11591 20.046831 0.5055804 272.21225 0.5001400 0.5003047 0.6864555 0.5000595 0.5024582 161.11629 0.5007101 0.6504076 0.5037344 57.30656 14.514673 1.1204168 0.5000576 0.5550008 0.5162424 7.751749 249.21016 0.5001192 0.5073400 271.20547 263.57031
294.3005 372.97845 3.0516137 2.3320870 2.1336140 2.1749801 359.25324 343.22860 357.73365 380.53849 375.12001 367.50116 365.58318 386.17424 315.50001 311.74630 293.03416 283.29100 310.57495 309.84473 293.86501 283.79838 314.29352 307.45378 295.07757 283.84481 278.52563 2.522715 30.26446 0.5295555 0.7633823 2.162862 3.528044 0.5265526 137.76514 1.3832695 168.83333 289.96313 330.37158 0.5000085 0.5008320 62.17753 20.091286 0.5055964 316.45450 0.5001400 0.5003050 0.6864555 0.5000595 0.5024589 162.20398 0.5007101 0.6504344 0.5037354 57.30656 14.514673 1.1204168 0.5000576 0.5548338 0.5162349 7.770127 270.97226 0.5001192 0.5073400 322.14883 277.60107
229.7543 305.22379 3.0917644 2.7178281 2.3974603 2.2886700 305.65989 312.68859 312.55717 304.98313 312.49388 316.32598 318.25987 312.83808 305.59803 294.40671 276.97921 264.60596 302.13283 293.95516 278.02217 264.20345 302.88498 294.69962 277.20750 260.90461 264.45740 2.532401 30.69452 0.5294040 0.7625997 2.171670 3.517032 0.5268211 134.56018 1.3770142 167.35625 288.84253 326.64044 0.5000107 0.5008250 61.66806 20.409134 0.5055346 308.58261 0.5001367 0.5003090 0.6854316 0.5000596 0.5024306 157.87825 0.5007082 0.6515200 0.5037673 59.02024 14.479390 1.1162254 0.5000575 0.5575057 0.5163892 7.733811 266.41074 0.5001192 0.5074166 320.14359 275.36530
340.1085 343.92217 2.2821236 2.0478167 1.9226598 1.9971564 329.32285 334.13640 367.07808 388.59434 368.26523 356.03237 355.10331 378.79048 284.29283 291.91412 283.59859 274.44559 283.68831 292.26826 284.73356 276.00502 282.26579 293.34891 286.02814 273.88240 275.80847 2.551002 30.42808 0.5296426 0.7644455 2.191787 3.560988 0.5263527 138.45546 1.3901912 169.85765 290.50662 303.95953 0.5000108 0.5008335 62.56448 20.370544 0.5056158 288.53885 0.5001387 0.5003077 0.6876348 0.5000596 0.5024669 163.19420 0.5007178 0.6519771 0.5037893 57.81996 14.615472 1.1224270 0.5000572 0.5532523 0.5163444 7.801654 269.06924 0.5001192 0.5074121 281.07141 279.55008
191.3407 148.65658 2.3610920 2.4410326 2.0396086 1.8536321 154.50299 153.65670 158.64833 151.30296 146.44923 146.12787 151.75410 153.69508 159.68469 157.78470 155.36928 152.87059 158.90884 157.01579 155.72477 153.88036 158.65267 158.29026 156.12745 153.64232 145.05719 1.948718 21.75355 0.5264470 0.7558191 1.662043 3.062391 0.5178586 85.31274 1.0929835 127.63438 144.61760 161.53510 0.5000000 0.5005464 50.95564 14.421746 0.5036723 154.32402 0.5001187 0.5002267 0.6566883 0.5000153 0.5016206 100.34718 0.5006778 0.5988367 0.5024713 43.02374 9.649636 0.9043137 0.5000562 0.5370361 0.5108410 5.254148 142.47934 0.5000596 0.5052329 154.30179 147.28539
191.2274 153.41819 2.3610920 2.4410326 2.1022329 1.9950488 152.74506 148.69044 149.02062 149.51641 150.16181 149.03150 150.59794 148.10172 142.35260 142.65059 144.29872 144.10136 143.19997 142.64810 142.84262 142.62053 142.43655 143.14071 142.20389 143.11816 139.96396 1.802386 20.01552 0.5245019 0.7278450 1.564180 2.926233 0.5163031 79.49199 1.0378857 130.41995 154.55379 156.93900 0.5000001 0.5004805 49.37198 13.461912 0.5031221 154.53616 0.5001068 0.5002100 0.6530960 0.5000225 0.5013410 95.28267 0.5006215 0.5867903 0.5020880 40.65938 8.614994 0.8445439 0.5000562 0.5326889 0.5099047 4.723456 147.74823 0.5000596 0.5048899 150.50421 139.55157
249.5059 206.97089 2.3565715 2.3452169 2.0075218 1.7682263 204.07161 212.06228 211.74931 205.46623 209.27542 214.18794 214.95205 210.26339 203.18999 198.12887 194.71619 191.40165 203.64545 198.77321 195.45522 192.31684 203.67886 199.42043 194.87423 191.04023 187.60428 2.134282 25.20280 0.5290847 0.7624126 1.867611 3.473441 0.5203655 105.01339 1.2046117 164.26991 198.53209 167.81363 0.5000014 0.5006735 61.01326 18.174034 0.5048158 178.82764 0.5001347 0.5002789 0.6847721 0.5000585 0.5022243 121.10549 0.5007082 0.6285622 0.5033525 52.25333 11.975362 1.0532292 0.5000575 0.5434822 0.5127630 6.481476 218.25655 0.5001163 0.5071124 202.19984 204.84389
207.4638 148.58029 -0.6388950 -0.2841302 -0.0730684 0.0221758 142.93534 139.60846 135.64667 129.71494 127.34827 126.93046 125.10371 117.51686 135.08297 140.69412 143.65961 146.53474 135.49294 139.51137 144.16331 148.36230 136.78715 138.82240 143.54820 147.80098 135.40492 1.933928 21.93055 0.5244099 0.7318907 1.652543 2.929966 0.5174236 85.11227 1.0838279 126.35281 149.67500 119.38934 0.5000000 0.5005330 47.46561 13.999771 0.5035920 105.18758 0.5001115 0.5002148 0.6372442 0.5000041 0.5015079 100.20054 0.5005535 0.5974233 0.5024152 38.92820 9.470968 0.8974587 0.5000604 0.5358080 0.5103412 5.106494 155.62747 0.5000596 0.5050506 110.14104 149.32419
188.4118 158.27871 2.2821236 1.4563016 1.2035475 1.1243031 163.38824 169.12975 172.65032 174.05206 166.75353 162.52536 162.49287 158.31361 146.82572 151.78688 155.99122 159.11898 146.23227 150.94162 154.73788 157.40199 146.85845 151.77852 155.65380 157.18938 150.66333 1.977585 21.97437 0.5268980 0.7584201 1.705979 3.109644 0.5185001 89.62785 1.1193432 136.85301 150.68112 122.16090 0.5000001 0.5005724 52.76545 14.672690 0.5037609 115.59123 0.5001204 0.5002304 0.6579794 0.5000162 0.5017112 104.93484 0.5006947 0.6038038 0.5026052 42.85235 9.975593 0.9224380 0.5000572 0.5385050 0.5108911 5.403740 159.30266 0.5000596 0.5053068 116.64774 152.85696
230.1651 195.32441 3.0504537 2.5501206 2.1391725 2.0298452 204.28110 208.90793 211.03465 216.81764 219.76345 224.83266 229.85281 221.40502 216.92235 213.27314 209.60814 206.95733 218.73068 214.74168 209.72053 207.22508 219.47704 213.98503 207.45370 209.48454 212.89319 2.290159 27.39798 0.5293486 0.7619257 2.070095 3.508413 0.5248601 122.19992 1.3300066 162.40723 240.80600 244.87885 0.5000048 0.5007786 61.49405 20.047855 0.5052938 249.11510 0.5001380 0.5003035 0.6858582 0.5000591 0.5023683 144.85678 0.5007065 0.6469911 0.5036801 57.86800 13.890603 1.1028033 0.5000575 0.5552928 0.5156192 7.483906 224.45074 0.5001188 0.5073486 250.37695 238.99948
294.3935 242.65366 2.9676866 2.2972224 2.1987026 2.1934623 251.11983 249.57861 252.07947 257.15138 261.96652 258.30758 255.19115 256.50417 238.14901 240.54113 239.01541 236.83179 236.08168 240.17474 236.91516 236.00492 238.61220 239.66659 238.57195 237.10923 230.16669 2.404491 28.63634 0.5293478 0.7654715 2.127328 3.483599 0.5260463 131.88692 1.3722035 163.65550 224.02081 267.11819 0.5000098 0.5008207 61.70118 20.148174 0.5056088 269.96066 0.5001425 0.5003051 0.6871424 0.5000576 0.5024731 151.40213 0.5007185 0.6516840 0.5037797 59.09060 14.348026 1.1235844 0.5000619 0.5567781 0.5158749 7.641655 222.46429 0.5001192 0.5074224 267.94702 232.08955


Here, gmax_st is just a table where the 1st column shows the actual Gmax measurements while the other columns show the predictions of each candidate members. Note that due to tuning, some models are composed of several sub-models, with the aim of finding the optimal parameters that control the model. These sub-models are what we refer to as candidate member. Hence, what we have here is a stack with 5 model definitions and 65 candidate members. E.g. the XGBoost model has 40 candidate members (and that’s why it gives 40 predictions of the Gmax value, corresponding to 40 columns in the stack), the RF model has 12 candidate members and so on.

Now we evaluate how to combine (blend) and fit these predictions. Not all sub-models are necessarily included in the final ensemble.

gmax_model_st <-
  gmax_st %>%
  blend_predictions() %>%
  fit_members()

4.6 Predicting test data

Let’s predict the test data (data_test) to see how the model performs.

data_test_new <- 
  data_test %>%
  bind_cols(predict(gmax_model_st, .)) %>%
  relocate(.pred)

# table
func_tbl(data_test_new)
.pred Gmax Depth SCPT_RES SCPT_FRES SCPT_BQ UW SV0P Qtn Ic
43.94137 69.2142 3.5 4.0227 25.6598 -0.0207 18.7621 30.9679 71.7999 1.9133
86.05561 72.9922 4.5 7.4858 67.9980 0.0005 19.4758 43.1000 114.6508 1.8413
90.62501 88.1149 5.5 10.1776 96.9640 0.0001 19.8479 54.8180 137.6407 1.7938
105.43812 120.7267 10.5 13.8898 119.3375 -0.0010 20.1869 108.5422 130.2016 1.7839
112.86046 133.9468 11.5 15.5704 106.5016 -0.0196 20.2142 119.2480 137.4440 1.7123
223.89939 249.6167 22.4 45.3239 313.0618 -0.0031 21.4079 259.3305 252.7901 1.5063
115.21058 34.3002 1.5 23.7226 121.9929 -0.0001 20.5749 15.7240 357.6059 1.3046
108.36426 68.0265 2.5 20.2697 133.5469 -0.0002 20.5097 26.3223 306.9982 1.4307
76.59810 59.3580 5.5 2.6662 57.1022 0.0300 17.9632 44.5415 47.5396 2.3853
97.91252 109.1494 9.5 2.5253 48.1976 0.1246 17.9654 77.1553 30.9847 2.4876
104.61096 99.9389 11.5 5.3154 64.9650 -0.0476 19.0097 105.3944 48.3138 2.2377
116.33223 215.5209 15.5 11.6758 117.4964 0.0002 20.0356 158.0865 82.6845 1.9820
142.08731 216.4633 16.5 2.7658 121.4754 0.0748 17.8108 131.5795 19.2692 2.8757
170.93529 288.5758 19.5 25.8114 250.7255 -0.0002 20.9750 217.0480 151.9083 1.7695
173.44547 288.5349 21.0 28.3949 262.6784 -0.0001 21.0573 235.7577 157.8174 1.7440
127.41835 119.0501 7.5 4.0014 197.5705 0.0426 18.5495 65.1781 56.9334 2.5670
163.50488 170.2655 9.5 27.4877 265.4300 0.0001 21.0437 106.2816 263.4874 1.5984
168.72408 225.3408 10.5 27.7719 283.9186 0.0001 21.0910 117.9965 251.3258 1.6323
179.71149 147.2619 12.5 34.0945 344.2132 0.0000 21.3370 143.6310 276.5388 1.6007
194.73866 169.0422 15.5 30.2787 307.3704 0.0000 21.1939 175.9943 212.7441 1.6788
159.55396 169.1009 16.5 22.9218 267.2932 -0.0001 20.9346 182.8839 151.5365 1.8253
171.05865 100.6942 18.5 27.5108 281.1793 0.0001 21.0821 207.8623 168.3445 1.7526
180.35856 206.3337 24.0 22.3640 218.3195 -0.0011 20.8061 263.4683 107.8369 1.8843
280.01979 276.8295 40.4 28.2133 195.2344 -0.0133 20.8841 446.7253 79.2343 1.9055
284.20447 249.3616 43.5 29.1523 191.9655 -0.0089 20.8181 461.8998 67.1377 1.9766
173.64426 189.7460 16.5 25.5622 213.6983 -0.0006 20.8802 181.9932 174.9484 1.6798
147.27072 168.9925 18.5 15.3326 150.4898 0.0001 20.3538 194.4196 93.6893 1.9331
167.69088 249.1697 24.0 21.0291 170.2413 -0.0015 20.6282 259.1809 103.9591 1.8503
180.26759 217.3576 27.0 22.9289 192.3451 0.0000 20.7545 295.0551 100.5214 1.8613
98.25940 79.9428 3.5 9.1045 147.2663 -0.0040 19.8165 34.6321 157.4028 1.8918
93.58705 69.9413 6.5 13.4038 117.9726 0.0002 20.1512 66.7949 162.8763 1.7173
136.88217 149.4708 11.5 19.9212 142.4484 -0.0014 20.5157 122.5646 175.7999 1.6373
133.60712 113.9154 13.5 19.0157 135.7888 -0.0006 20.4728 143.4124 151.8136 1.6815
117.57209 150.1022 14.5 15.6884 116.5281 -0.0007 20.2707 151.1464 119.1154 1.7767
163.97458 150.9378 30.0 11.5290 106.0913 0.0004 19.9998 305.2923 42.2231 2.2023
198.33663 151.0453 39.0 16.5269 124.3730 -0.0003 20.3471 410.5260 45.4099 2.1274
237.17427 150.9881 40.5 14.2215 134.1737 -0.0108 20.2405 422.0344 34.9885 2.2843
259.63336 217.2417 49.5 21.8349 179.1871 -0.0013 20.6948 538.3572 42.0440 2.1781
117.39559 116.4142 5.5 19.6478 185.6014 0.0000 20.6285 59.0820 247.8343 1.6099
137.28678 124.3309 11.5 15.2966 188.4097 -0.0004 20.4456 121.8784 132.7591 1.8833
112.46948 113.9154 13.5 10.4882 102.2522 -0.0001 19.8965 135.7585 83.2088 1.9709
109.87358 131.1068 14.5 10.0564 109.8600 -0.0007 19.8731 145.5065 75.0451 2.0385
109.94308 92.1298 15.5 10.8456 123.8921 0.0003 19.9817 157.2679 76.1770 2.0438
137.88040 190.5466 24.0 13.8709 107.4444 0.0002 20.1550 247.8741 67.5187 1.9886
162.08734 143.0298 30.0 11.6284 95.3179 0.0003 19.9745 304.5406 43.2637 2.1678
112.60010 121.0839 2.5 18.9004 108.0141 0.0000 20.3829 26.0151 281.2156 1.4139
88.65523 68.8852 5.5 9.8461 95.0684 -0.0057 19.7992 54.5490 133.4935 1.8113
106.80105 95.4366 11.5 7.6573 87.1629 -0.0050 19.5401 111.5177 68.9188 2.0748
103.68943 77.6267 12.2 6.5415 66.9394 -0.0198 19.3205 115.6464 56.6491 2.1154
108.35668 80.6549 13.5 8.5847 87.2114 -0.0052 19.6626 132.5254 68.2659 2.0502
109.78183 71.9451 14.5 9.2649 102.1534 -0.0010 19.7768 144.0218 69.2434 2.0680
126.54987 100.6564 16.5 16.1311 129.8951 -0.0071 20.3146 172.8203 110.1895 1.8350
158.30387 168.6864 17.5 24.6272 164.1959 -0.0015 20.7269 190.4948 164.6285 1.6354
129.54510 78.0342 22.5 9.4562 60.6750 -0.0003 19.6926 221.8683 49.1336 2.0626
139.32305 99.2858 24.0 9.2365 65.8236 -0.0001 19.6858 236.5357 44.3960 2.1251
192.25579 239.3520 27.0 25.3029 197.4485 -0.0044 20.8086 296.4194 113.8148 1.8168
172.60063 190.9878 28.5 22.9223 172.3248 -0.0002 20.6990 309.7989 96.1809 1.8540
234.08449 239.4498 36.0 27.9628 138.2590 -0.0024 20.7305 392.5881 96.8392 1.7480
54.79249 27.8220 1.5 2.1774 27.8778 0.0130 17.3501 11.1095 66.5963 2.1843
87.04062 67.3852 2.5 12.6098 69.4233 -0.0001 19.9334 24.9299 197.3994 1.5258
69.76625 81.9356 6.5 5.2988 50.1860 0.0007 19.0754 59.8536 71.3444 2.0160
108.91353 100.2470 12.5 14.7118 122.7579 -0.0041 20.2197 129.7403 122.7201 1.8022
143.32760 168.5235 16.5 18.8800 143.9316 -0.0005 20.4927 175.6200 129.9859 1.7517
116.83933 119.8845 2.5 40.6728 128.3220 -0.0001 20.8947 27.2776 495.8776 1.0580
128.40411 109.3549 6.5 31.3034 179.2835 -0.0002 20.8913 71.4640 350.8825 1.3546
133.43750 98.4727 8.5 35.3402 179.2104 -0.0001 20.9735 94.3256 357.9219 1.3041
108.62801 97.7887 9.5 8.6279 74.9942 0.0003 19.5317 91.8107 88.5396 1.9576
114.06922 104.4717 11.5 10.9887 82.2758 0.0000 19.8753 115.2653 98.5508 1.8457
142.90314 121.8094 17.5 18.9932 146.7668 -0.0022 20.5008 186.5665 124.5015 1.7718
161.06759 122.1584 19.5 22.3565 170.9458 -0.0010 20.6825 211.4669 134.8394 1.7418
79.01347 105.1396 5.5 2.2524 54.0533 0.2776 17.9209 44.2987 45.4393 2.3854
84.24534 107.3442 6.5 2.8304 87.1986 0.4084 18.3061 54.8993 52.4260 2.4005
118.83208 83.7873 10.5 1.9698 88.5733 0.4226 17.3691 79.0477 27.6120 2.7292
76.32343 109.2413 2.5 9.9826 97.3616 0.0002 19.8296 24.6427 180.1289 1.7152
120.29984 110.8330 7.5 14.6562 134.0634 0.0001 20.2699 78.0421 164.9613 1.7253
114.84411 136.7077 14.5 11.8992 124.8765 0.0001 20.0605 148.2011 88.7218 1.9726
135.55695 165.2363 17.5 10.8272 139.2354 0.0001 20.0182 178.0375 67.8035 2.1175
149.21227 154.3140 18.5 16.4618 145.1416 -0.0001 20.3962 195.2043 101.7218 1.8753
147.08505 167.2389 19.5 15.9083 136.9290 0.0000 20.3463 204.8348 93.9760 1.8968
81.74858 68.3340 2.5 7.2624 72.0580 0.0006 19.4513 23.7130 139.2163 1.8016
84.74609 72.9319 4.5 7.7602 90.8258 -0.0002 19.5597 43.4768 121.0102 1.8957
116.60255 109.1373 8.5 15.5408 118.8114 -0.0001 20.2747 88.5300 163.4303 1.6748
105.04977 133.4358 9.5 13.3942 112.8555 0.0001 20.1360 97.6850 133.6282 1.7703
113.36766 167.5578 11.5 12.0601 101.9445 0.0002 20.0185 116.9868 107.4134 1.8444
155.49767 107.7179 7.5 30.8170 210.5786 -0.0005 20.9741 83.3044 328.9901 1.4188
163.07056 91.1455 9.6 31.1841 221.5844 -0.0005 21.0144 107.1156 298.8050 1.4636
163.95783 107.6335 14.5 24.8767 187.3381 -0.0002 20.7928 158.8074 188.3256 1.6255
168.60531 136.8133 16.5 24.3007 196.6044 -0.0024 20.7925 180.5414 167.0214 1.6864
193.14812 114.0793 17.5 39.3318 267.5085 -0.0009 21.2448 199.4267 265.5147 1.4859
188.32754 147.6127 18.5 31.0905 203.1956 -0.0011 20.9578 205.5464 201.2037 1.5650
154.90636 112.0150 23.5 9.3498 141.2041 -0.0300 19.7690 233.6466 42.7203 2.3570
120.53955 99.0631 1.5 23.8907 100.8863 0.0000 20.4744 15.6080 341.0807 1.2773
149.90220 143.8433 5.5 34.6270 209.3485 0.0001 21.0420 61.3294 407.2306 1.3209
116.09163 120.5773 2.5 44.0798 150.5185 -0.0001 20.9922 27.5166 538.0652 1.0490
80.38668 76.0590 2.5 11.5125 92.6831 0.0003 19.9505 24.9495 196.1986 1.6300
81.83778 79.9508 3.5 12.3412 96.5867 0.0003 20.0157 35.3298 188.9790 1.6353
79.51130 83.0075 4.5 12.2303 99.3636 0.0003 20.0222 45.5437 173.6188 1.6722
151.85560 81.7330 6.5 38.0850 206.7754 0.0001 21.0977 72.9285 421.1624 1.2794
153.04829 148.1618 8.5 38.5260 243.3863 0.0001 21.1851 96.2350 387.6065 1.3496
162.59177 149.0879 10.5 41.3852 237.4466 -0.0001 21.1966 119.1101 380.4622 1.3221
159.37612 168.8896 13.5 33.5527 232.5824 0.0003 21.0827 151.7247 267.5379 1.4896
136.44718 110.2211 14.5 16.4397 155.7317 0.0001 20.4204 153.4372 122.5950 1.8321
133.10759 147.6158 7.5 25.7766 158.9178 0.0000 20.7388 81.5282 278.1799 1.4411
233.40820 220.5005 30.0 28.9351 252.4034 0.0000 21.0491 336.7232 113.5281 1.8351
219.54829 214.7059 31.5 22.9618 214.7274 -0.0020 20.8131 346.1492 82.7830 1.9642
232.70798 260.8548 33.0 26.6232 215.4157 0.0000 20.9114 365.8954 94.0636 1.8803
219.71171 214.7323 34.5 17.1690 198.5208 0.0021 20.3965 364.7475 54.0821 2.2529
269.11649 253.4551 42.0 27.9606 198.2646 -0.0004 20.8933 465.0678 73.8960 1.9389
272.60975 340.0752 42.9 29.4440 198.2646 -0.0013 20.8933 465.0678 73.8960 1.9389
72.06939 73.1572 2.5 9.6114 87.7154 0.0002 19.7723 24.5066 172.6461 1.7080
80.18393 69.6460 3.5 8.9377 84.2537 0.0001 19.6905 34.1760 147.1990 1.7698
84.35896 96.2511 5.5 12.6239 111.4455 0.0001 20.0844 56.1001 166.0482 1.7112
129.20344 108.8583 8.5 15.4701 143.6236 0.0000 20.3415 89.0973 162.6141 1.7334
130.43354 121.5804 14.5 15.9415 133.2654 0.0000 20.3374 152.2232 120.0147 1.8037
144.56207 165.5615 7.5 23.0771 198.6806 0.0001 20.7759 81.8103 251.3594 1.5762
153.16209 170.4894 10.5 23.2581 202.0243 -0.0001 20.7888 114.8304 213.4492 1.6286
182.20457 198.2552 16.5 28.2749 234.8000 -0.0002 20.9916 183.8232 193.9058 1.6453
189.74279 235.7888 18.5 36.4891 280.1714 -0.0001 21.2361 210.6999 232.6241 1.5646
151.94073 146.0916 22.5 18.0829 169.1222 -0.0001 20.5300 240.7651 92.9019 1.9242
156.28067 177.6015 25.5 14.9667 152.3085 0.0001 20.3426 268.1543 66.3048 2.0630
150.77337 175.5017 27.0 15.0630 127.7656 -0.0005 20.2635 281.7999 64.2943 2.0344
259.69390 191.2236 30.0 30.5203 337.1407 -0.0009 21.2409 342.4637 116.3322 1.8972
215.54830 151.2086 35.7 9.3734 135.0070 -0.0330 20.1262 355.5069 37.4043 2.2824
74.00344 77.3481 3.5 10.3369 75.4424 0.0001 19.8064 34.5870 161.1928 1.6651
85.84956 85.1849 4.5 13.4918 88.5904 0.0002 20.0705 45.7693 185.6604 1.5888
146.46033 164.9230 9.5 23.1157 158.6727 0.0000 20.6719 102.7562 225.3993 1.5398
164.88794 151.2112 12.5 25.6409 184.3104 0.0001 20.8072 137.0259 214.0173 1.5701
162.81372 175.7649 13.5 25.2464 184.6420 0.0001 20.7982 147.8959 200.7484 1.5960
158.37501 177.3007 15.5 24.1579 171.8526 0.0002 20.7369 168.9293 175.4324 1.6317
169.32215 190.4530 16.5 26.3409 185.1835 0.0002 20.8264 181.1168 183.3730 1.6142
179.99011 198.9552 25.5 25.9519 179.2493 0.0002 20.8028 279.8819 124.7482 1.7402
209.04380 191.1032 33.0 20.7617 144.2110 0.0003 20.5641 354.3496 73.7599 1.9282
80.48240 68.2305 1.5 12.6369 79.0297 0.0000 19.9866 14.8635 220.0137 1.5179
115.80497 87.5267 5.5 18.2079 137.4564 -0.0001 20.4410 58.0590 228.5040 1.5657
124.65714 115.8804 6.5 21.2588 154.0337 0.0000 20.6021 69.7227 246.7307 1.5280
163.58895 172.5236 10.5 29.9026 232.7667 -0.0004 21.0184 117.2389 273.3569 1.5195
169.58317 145.5464 11.5 26.6902 217.2315 -0.0002 20.9135 127.2444 232.2087 1.5830
169.96501 168.4190 12.5 24.4509 193.5969 -0.0017 20.7951 136.8716 203.1210 1.6167
133.03519 163.2803 16.5 4.8307 120.6413 0.0933 18.8930 149.2509 32.5359 2.5685
131.75391 123.4363 17.5 3.1458 78.8773 0.2200 18.3984 149.7799 21.7356 2.6760
134.83302 179.5927 18.5 5.9391 122.6012 0.0599 19.2328 173.7639 35.1483 2.4896
125.08159 165.3059 19.5 11.0670 117.1438 -0.0096 19.9416 196.9768 63.9244 2.0978
84.87984 89.3184 3.5 7.3529 82.2075 -0.0014 19.4421 33.2916 127.3688 1.8741
127.84836 130.8358 6.5 21.0260 180.8623 -0.0001 20.6652 70.1349 245.3820 1.5833
124.54240 133.7479 9.5 15.3776 131.0752 0.0000 20.2888 99.1109 152.3524 1.7357
148.53495 214.6926 30.0 4.7163 89.0844 0.0313 18.8379 270.4893 245.0749 1.5985
228.40082 351.6122 33.0 38.8645 248.9160 -0.0002 21.1987 375.3738 147.8533 1.6603
234.23263 351.6799 39.0 19.0078 176.6921 -0.0025 20.5565 418.6610 51.8116 2.1506
269.01945 190.7979 43.5 20.7443 259.9446 -0.0346 20.8348 479.1433 44.0915 2.2616
246.74700 249.8593 45.0 23.3960 144.1839 -0.0152 20.6365 486.7726 55.6755 2.0088
295.44218 363.9616 46.5 29.2041 147.9454 -0.0197 20.7670 509.0775 70.5607 1.8793
318.45483 329.0582 49.5 28.1303 186.6390 -0.0117 20.8553 546.2951 58.4694 2.0102
72.83335 3.0414 1.5 7.0335 52.9536 0.0002 19.3818 13.9824 143.3790 1.7113
117.55277 125.5320 6.5 18.8022 154.2815 0.0000 20.5159 69.1551 221.2746 1.6000
137.41303 149.0645 14.5 12.7501 183.5256 -0.0035 20.1600 149.6591 93.1984 2.0824
165.68073 150.8525 15.5 32.4700 215.8869 0.0000 21.0247 173.3816 237.8583 1.5137
102.32030 108.3092 2.5 16.2570 119.0558 -0.0001 20.3061 25.8170 258.6022 1.5161
115.26380 287.4120 13.5 13.1512 113.8565 0.0000 20.1093 138.6067 104.5571 1.8693
118.96648 108.0395 5.5 38.2411 127.3516 0.0006 20.8618 60.3407 431.9502 1.1176
154.35307 119.2387 11.5 28.5612 166.2988 -0.0007 20.7904 125.8076 252.7725 1.4740
185.77766 169.3359 28.9 43.7383 214.8548 0.0004 21.1744 327.9795 202.6643 1.4810
189.54435 177.6255 31.9 44.8708 216.6004 0.0002 21.1892 362.5432 188.7710 1.5007
244.44673 128.7599 40.0 34.1022 182.8788 -0.0002 20.9684 445.8871 103.7415 1.7420
258.17736 249.9140 50.9 46.0285 291.1066 -0.0039 21.3627 587.5596 97.9438 1.8081
323.78627 290.1520 52.3 38.8654 464.7317 -0.0137 21.5700 614.5918 73.3670 2.1029
129.35374 85.2249 24.0 6.5153 42.9857 -0.0002 19.2943 227.2506 30.6207 2.2533
176.04027 122.4252 34.0 17.0145 126.0594 -0.0012 20.3660 358.4899 56.4323 2.0416
139.91281 129.4679 14.0 22.4547 131.0515 -0.0028 20.5586 150.0334 176.8935 1.5769
214.30117 193.4027 32.0 22.7568 150.7292 -0.0082 20.6362 346.0111 84.7890 1.8677
168.18167 139.9470 16.5 33.2902 169.4751 -0.0011 20.9122 182.5250 239.6628 1.4334
205.14554 223.3660 36.0 5.5629 100.0547 0.1411 19.1522 335.9049 15.0364 2.7610
235.86445 188.8459 34.5 37.7622 239.7386 0.0001 21.1629 391.2224 135.8970 1.6877


We can plot these predictions (.pred in the above table) and see how they compare to the actual measured data (Gmax in the table).

  • Scatter plot:
# data for annotations
data_ann <- 
  tibble(x = c(0, 0, 0, 25, 50, 265, 275),
         y = c(0, 25, 50, 0, 0, 275, 265),
         label = c("Pred. = Meas.", "+25 MPa", "+50 MPa", "-25 MPa", "-50 MPa",
                   "Overprediction", "Underprediction"))

# plot
ggplot(data_test_new) +
  aes(x = Gmax, 
      y = .pred) +
  geom_point(alpha = 0.15, size = 5, color = gray_2) + 
  coord_obs_pred() +
  geom_abline(size = 2, alpha = 1, color = col_r) +
  geom_abline(intercept = c(-25, 25), size = 2, alpha = 0.5, color = col_r) +
  geom_abline(intercept = c(-50, 50), size = 2, alpha = 0.2, color = col_r) +
  geom_richtext(
    data = data_ann,
    aes(x = x, y = y, label = label),
    color = annotation_color,
    family = annotation_family,
    size = unit(3, "pt"),
    fill = annotation_fill,
    label.color = annotation_label.color,
    label.padding = annotation_label.padding,
    label.r = annotation_label.r,
    hjust = 0,
    vjust = 0.5,
    fontface = annotation_fontface,
    angle = 45
  ) +
  labs(x = "Measured Gmax (MPa)", y = "Predicted Gmax (MPa)")
_Plot of measured vs predicted `Gmax` values for the test data._

Plot of measured vs predicted Gmax values for the test data.

  • Histogram:

It looks like our model struggles in accurately predicting the high values of Gmax. This is probably related to the decrease of SCPT measurements in deep layers (which are associated to high Gmax values).

# data for annotations
data_ann_hist <- 
  tibble(x = c(-2 * sd(data_test_new$.pred - data_test_new$Gmax),
               -1 * sd(data_test_new$.pred - data_test_new$Gmax),
               0,
               1 * sd(data_test_new$.pred - data_test_new$Gmax),
               2 * sd(data_test_new$.pred - data_test_new$Gmax)),
         y = 0.0175,
         label = c("-2SD", "-1SD", "Pred. = Meas.", "+1SD", "+2SD"))

data_ann_hist_sec <- 
  tibble(x = c(5, -5),
         y = c(0.015, 0.015),
         label = c("Overprediction", "Underprediction"))

# plot
ggplot(data_test_new, aes(.pred - Gmax)) +
  geom_histogram(binwidth = 7, aes(y =..density..), alpha = 0.15, fill = gray_2) +
  geom_vline(xintercept = 0,
             size = 2, alpha = 1, color = col_r) +
  geom_vline(data = data_test_new, aes(xintercept = sd(data_test_new$.pred - data_test_new$Gmax)),
             size = 2, alpha = 0.5, color = col_r) +
  geom_vline(data = data_test_new, aes(xintercept = -sd(data_test_new$.pred - data_test_new$Gmax)),
             size = 2, alpha = 0.5, color = col_r) +
  geom_vline(data = data_test_new, aes(xintercept = 2 * sd(data_test_new$.pred - data_test_new$Gmax)),
             size = 2, alpha = 0.2, color = col_r) +
  geom_vline(data = data_test_new, aes(xintercept = -2 * sd(data_test_new$.pred - data_test_new$Gmax)),
             size = 2, alpha = 0.2, color = col_r) +
  geom_richtext(
    data = data_ann_hist,
    aes(x = x, y = y, label = label),
    color = annotation_color,
    family = annotation_family,
    size = unit(3, "pt"),
    fill = annotation_fill,
    label.color = annotation_label.color,
    label.padding = annotation_label.padding,
    label.r = annotation_label.r,
    hjust = 0.5,
    vjust = 0.5,
    fontface = annotation_fontface,
    angle = 0
  ) +
  geom_richtext(
    data = data_ann_hist_sec,
    aes(x = x, y = y, label = label),
    color = annotation_color,
    family = annotation_family,
    size = unit(3, "pt"),
    fill = annotation_fill,
    label.color = annotation_label.color,
    label.padding = annotation_label.padding,
    label.r = annotation_label.r,
    hjust = 0.5,
    vjust = 0.5,
    fontface = annotation_fontface,
    angle = 90
  ) +
  labs(x = "'Predicted - Measured' Gmax (MPa)", y = NULL)
_Histogram of residuals for the test data._

Histogram of residuals for the test data.

We can also assess the accuracy of the prediction in numerical terms, for the ensemble and for each candidate member. From the following table we see that the ensembled model outperforms (in terms of rmse and rsq values) all the other models, although some of them offer similar performance. We can also notice that some models are not appropriate for our case (or maybe I didn’t define/tune them properly 😅).

member_preds <- 
  data_test %>%
  select(Gmax) %>%
  bind_cols(predict(gmax_model_st, data_test, members = TRUE))

# rmse
accuracy_ml_rmse <- 
  map_dfr(member_preds, rmse, truth = Gmax, data = member_preds) %>%
  mutate(member = colnames(member_preds))

func_tbl(accuracy_ml_rmse)
.metric .estimator .estimate member
rmse standard 0.00000 Gmax
rmse standard 40.27966 .pred
rmse standard 161.22229 knn_res_1_2
rmse standard 40.35885 spl_res_4_1
rmse standard 41.60179 spl_res_7_1
rmse standard 41.29196 rf_res_1_01
rmse standard 41.25869 rf_res_1_02
rmse standard 42.84828 xgb_res_1_37
rmse standard 162.54451 xgb_res_1_38
rmse standard 42.00797 xgb_res_1_15
# rsq
accuracy_ml_rsq <- 
  map_dfr(member_preds, rsq, truth = Gmax, data = member_preds) %>%
  mutate(member = colnames(member_preds))

func_tbl(accuracy_ml_rsq)
.metric .estimator .estimate member
rsq standard 1.0000000 Gmax
rsq standard 0.6295764 .pred
rsq standard 0.2768033 knn_res_1_2
rsq standard 0.6275534 spl_res_4_1
rsq standard 0.6053857 spl_res_7_1
rsq standard 0.6101392 rf_res_1_01
rsq standard 0.6107543 rf_res_1_02
rsq standard 0.6002512 xgb_res_1_37
rsq standard 0.3551666 xgb_res_1_38
rsq standard 0.5972233 xgb_res_1_15

4.7 Predicting the rest of the data

Now that our final ensemble model is fully defined, we can predict Gmax values from the rest of the data where CPTU measurements are available (basically, all of our site).

# keep the rest of the data apart
data_corr_rest <- 
  data_corr %>%
  # correcting an unconsistency in depth data
  mutate(SCPT_DPTH = SCPT_DPTH * 100) %>%
  mutate(Depth = case_when(
    SCPT_DPTH %% 2 == 0 ~ round(SCPT_DPTH / 100, 1),
    SCPT_DPTH %% 2 != 0 ~ round((SCPT_DPTH + 1) / 100, 1)
  )) %>%
  mutate(SCPT_DPTH = SCPT_DPTH / 100)

data_seis_rest <- 
  data_seis %>% rename(Depth = SCPT_DPTH)

# create ML models data
data_rest <- 
  data_corr_rest %>% 
  left_join(data_seis_rest, by = c("LOCA_ID", "Depth", "TYPE", "LOCATION")) %>%
  filter(is.na(Gmax)) %>%
  # few corrections
  fill(SCPT_BQ, SCPT_RES, SCPT_FRES, UW, SV0P, Qtn, Ic, .direction = "down") %>%
  fill(SCPT_BQ, SCPT_RES, SCPT_FRES, UW, SV0P, Qtn, Ic, .direction = "up") %>%
  filter(Ic != "NaN", UW != "NaN")

# predict Gmax
data_rest_pred <- 
  data_rest %>%
  bind_cols(predict(gmax_model_st, .))

4.7.1 Visualizing predictions

We need some graphics to see how the predictions look. The following graph shows the predicted Gmax values, separated by the type of the test. From this graphics we can create a general idea and it looks like things are good in the top 30 meters of the ground but they worsen deeper.

Without measurements

data_rest_pred %>%
  ggplot(aes(.pred, SCPT_DPTH)) +
  geom_point(aes(color = TYPE), alpha = 0.025) +
  scale_y_reverse() +
  facet_wrap(~ TYPE) +
  coord_cartesian(expand = c(0, 0), xlim = c(0, 400), ylim = c(80, 0)) +
  #
  scale_color_manual(values = c(col_r, col_y, col_g, col_b)) +
  theme(legend.position = "none") +
  labs(x = "Predicted Gmax (MPa)")
_Plot of predicted `Gmax` values vs depth._

Plot of predicted Gmax values vs depth.

With measurements

data_rest_pred %>%
  ggplot(aes(.pred, SCPT_DPTH)) +
  geom_point(aes(color = TYPE), alpha = 0.025) +
  scale_y_reverse() +
  facet_wrap(~ TYPE) +
  coord_cartesian(expand = c(0, 0), xlim = c(0, 400), ylim = c(80, 0)) +
  geom_point(data = data_seis, aes(Gmax, SCPT_DPTH), alpha = 0.15, size = 5, color = gray_2) +
  scale_color_manual(values = c(col_r, col_y, col_g, col_b)) +
  theme(legend.position = "none") +
  labs(x = "Predicted Gmax (MPa)")
_Plot of predicted (color dots) and measured (gray dots) `Gmax` values vs depth._

Plot of predicted (color dots) and measured (gray dots) Gmax values vs depth.

4.7.2 Locations’ predictions

A more detailed (and accurate) view can be achieved by plotting the results and predictions of some locations. Note that we have Gmax measurements only in BH and SCPT test types (red and green dots).

# filter data
data_seis_filt <- data_seis %>%
  filter(LOCATION %in% c("HKN06", "HKN10", "HKN25", "HKN27",
                         "HKN56", "HKN58", "HKN72", "HKN75"))

data_rest_pred %>%
  filter(LOCATION %in% c("HKN06", "HKN10", "HKN25", "HKN27",
                         "HKN56", "HKN58", "HKN72", "HKN75")) %>%
  ggplot(aes(.pred, SCPT_DPTH)) +
  geom_point(alpha = 0.15, size = 1, aes(colour = TYPE)) +
  scale_y_reverse() +
  scale_x_continuous(position = "top") +
  facet_wrap(~ LOCATION, ncol = 4) +
  coord_cartesian(expand = c(0, 0), xlim = c(0, 400), ylim = c(80, 0)) +
  geom_point(data = data_seis_filt, aes(Gmax, SCPT_DPTH), 
             alpha = 0.15, size = 5, color = gray_2) +
  scale_color_manual(values = c(col_r, col_y, col_g, col_b)) +
  theme(legend.position = "none") +
  labs(x = "Predicted Gmax (MPa)", y = NULL)
_Plot of predicted (color dots) and measured (gray dots) `Gmax` values vs depth (for each location)._

Plot of predicted (color dots) and measured (gray dots) Gmax values vs depth (for each location).

I am mostly happy with how, in some locations (e.g. HKN25, HKN27) the predictions follow the path/pattern of Gmax measurements. Sometimes, of course, there are considerable discrepancies between predictions and measurements (e.g. HKN72 in the depth between ~32m and ~42m).

There are few ways in which we can improve the accuracy of our predictions, but we can’t really go into much detail here… this post is already too long 😫.


That’s it! Thanks for reading 👋


5 SESSION INFO

R Version

R version 4.1.3 (2022-03-10)

Packages

 package      * version    date (UTC) lib source
 assertthat     0.2.1      2019-03-21 [1] CRAN (R 4.1.3)
 backports      1.4.1      2021-12-13 [1] CRAN (R 4.1.2)
 bit            4.0.4      2020-08-04 [1] CRAN (R 4.1.3)
 bit64          4.0.5      2020-08-30 [1] CRAN (R 4.1.3)
 broom        * 0.7.12     2022-01-28 [1] CRAN (R 4.1.3)
 bslib        * 0.3.1      2021-10-06 [1] CRAN (R 4.1.3)
 butcher        0.1.5      2021-06-28 [1] CRAN (R 4.1.3)
 cellranger     1.1.0      2016-07-27 [1] CRAN (R 4.1.3)
 class          7.3-20     2022-01-16 [2] CRAN (R 4.1.3)
 cli            3.2.0      2022-02-14 [1] CRAN (R 4.1.3)
 clipr          0.8.0      2022-02-22 [1] CRAN (R 4.1.3)
 codetools      0.2-18     2020-11-04 [2] CRAN (R 4.1.3)
 colorspace     2.0-3      2022-02-21 [1] CRAN (R 4.1.3)
 crayon         1.5.1      2022-03-26 [1] CRAN (R 4.1.3)
 curl           4.3.2      2021-06-23 [1] CRAN (R 4.1.3)
 data.table     1.14.2     2021-09-27 [1] CRAN (R 4.1.3)
 DBI            1.1.2      2021-12-20 [1] CRAN (R 4.1.3)
 dbplyr         2.1.1      2021-04-06 [1] CRAN (R 4.1.3)
 desc           1.4.1      2022-03-06 [1] CRAN (R 4.1.3)
 details        0.3.0      2022-03-27 [1] CRAN (R 4.1.3)
 dials        * 0.1.1      2022-04-06 [1] CRAN (R 4.1.3)
 DiceDesign     1.9        2021-02-13 [1] CRAN (R 4.1.3)
 digest         0.6.29     2021-12-01 [1] CRAN (R 4.1.3)
 dplyr        * 1.0.8      2022-02-08 [1] CRAN (R 4.1.3)
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 farver         2.1.0      2021-02-28 [1] CRAN (R 4.1.3)
 fastmap        1.1.0      2021-01-25 [1] CRAN (R 4.1.3)
 forcats      * 0.5.1      2021-01-27 [1] CRAN (R 4.1.3)
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 furrr          0.2.3      2021-06-25 [1] CRAN (R 4.1.3)
 future         1.24.0     2022-02-19 [1] CRAN (R 4.1.3)
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 generics       0.1.2      2022-01-31 [1] CRAN (R 4.1.3)
 gganimate      1.0.7      2020-10-15 [1] CRAN (R 4.1.3)
 ggforce      * 0.3.3      2021-03-05 [1] CRAN (R 4.1.3)
 ggplot2      * 3.3.5      2021-06-25 [1] CRAN (R 4.1.3)
 ggtext       * 0.1.1      2020-12-17 [1] CRAN (R 4.1.3)
 glmnet       * 4.1-4      2022-04-15 [1] CRAN (R 4.1.3)
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 glue           1.6.2      2022-02-24 [1] CRAN (R 4.1.3)
 gower          1.0.0      2022-02-03 [1] CRAN (R 4.1.2)
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 gtable         0.3.0      2019-03-25 [1] CRAN (R 4.1.3)
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 httr           1.4.2      2020-07-20 [1] CRAN (R 4.1.3)
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 jsonlite       1.8.0      2022-02-22 [1] CRAN (R 4.1.3)
 kableExtra   * 1.3.4      2021-02-20 [1] CRAN (R 4.1.3)
 kknn         * 1.3.1      2016-03-26 [1] CRAN (R 4.1.3)
 knitr          1.38       2022-03-25 [1] CRAN (R 4.1.3)
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 lhs            1.1.5      2022-03-22 [1] CRAN (R 4.1.3)
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 lubridate      1.8.0      2021-10-07 [1] CRAN (R 4.1.3)
 magick         2.7.3      2021-08-18 [1] CRAN (R 4.1.3)
 magrittr       2.0.3      2022-03-30 [1] CRAN (R 4.1.3)
 markdown       1.1        2019-08-07 [1] CRAN (R 4.1.3)
 MASS           7.3-55     2022-01-16 [2] CRAN (R 4.1.3)
 Matrix       * 1.4-0      2021-12-08 [2] CRAN (R 4.1.3)
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 nlme           3.1-155    2022-01-16 [2] CRAN (R 4.1.3)
 nnet           7.3-17     2022-01-16 [2] CRAN (R 4.1.3)
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 parsnip      * 0.2.1      2022-03-17 [1] CRAN (R 4.1.3)
 patchwork    * 1.1.1      2020-12-17 [1] CRAN (R 4.1.3)
 pillar         1.7.0      2022-02-01 [1] CRAN (R 4.1.3)
 pkgconfig      2.0.3      2019-09-22 [1] CRAN (R 4.1.3)
 plyr           1.8.7      2022-03-24 [1] CRAN (R 4.1.3)
 png            0.1-7      2013-12-03 [1] CRAN (R 4.1.1)
 polyclip       1.10-0     2019-03-14 [1] CRAN (R 4.1.1)
 prettyunits    1.1.1      2020-01-24 [1] CRAN (R 4.1.3)
 pROC           1.18.0     2021-09-03 [1] CRAN (R 4.1.3)
 prodlim        2019.11.13 2019-11-17 [1] CRAN (R 4.1.3)
 progress       1.2.2      2019-05-16 [1] CRAN (R 4.1.3)
 purrr        * 0.3.4      2020-04-17 [1] CRAN (R 4.1.3)
 R6             2.5.1      2021-08-19 [1] CRAN (R 4.1.3)
 randomForest * 4.7-1      2022-02-03 [1] CRAN (R 4.1.3)
 Rcpp           1.0.8.3    2022-03-17 [1] CRAN (R 4.1.3)
 readr        * 2.1.2      2022-01-30 [1] CRAN (R 4.1.3)
 readxl       * 1.4.0      2022-03-28 [1] CRAN (R 4.1.3)
 recipes      * 0.2.0      2022-02-18 [1] CRAN (R 4.1.3)
 rematch2       2.1.2      2020-05-01 [1] CRAN (R 4.1.3)
 reprex         2.0.1      2021-08-05 [1] CRAN (R 4.1.3)
 rlang          1.0.2      2022-03-04 [1] CRAN (R 4.1.3)
 rmarkdown      2.13       2022-03-10 [1] CRAN (R 4.1.3)
 rpart          4.1.16     2022-01-24 [2] CRAN (R 4.1.3)
 rprojroot      2.0.3      2022-04-02 [1] CRAN (R 4.1.3)
 rsample      * 0.1.1      2021-11-08 [1] CRAN (R 4.1.3)
 rstudioapi     0.13       2020-11-12 [1] CRAN (R 4.1.3)
 rvest          1.0.2      2021-10-16 [1] CRAN (R 4.1.3)
 sass           0.4.1      2022-03-23 [1] CRAN (R 4.1.3)
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 sessioninfo    1.2.2      2021-12-06 [1] CRAN (R 4.1.3)
 shape          1.4.6      2021-05-19 [1] CRAN (R 4.1.1)
 showtext     * 0.9-5      2022-02-09 [1] CRAN (R 4.1.3)
 showtextdb   * 3.0        2020-06-04 [1] CRAN (R 4.1.3)
 slider       * 0.2.2      2021-07-01 [1] CRAN (R 4.1.3)
 stacks       * 0.2.2      2022-01-06 [1] CRAN (R 4.1.3)
 stringi        1.7.6      2021-11-29 [1] CRAN (R 4.1.2)
 stringr      * 1.4.0      2019-02-10 [1] CRAN (R 4.1.3)
 survival       3.2-13     2021-08-24 [2] CRAN (R 4.1.3)
 svglite        2.1.0      2022-02-03 [1] CRAN (R 4.1.3)
 sysfonts     * 0.8.8      2022-03-13 [1] CRAN (R 4.1.3)
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 thematic     * 0.1.2.1    2021-06-09 [1] CRAN (R 4.1.3)
 tibble       * 3.1.6      2021-11-07 [1] CRAN (R 4.1.3)
 tidymodels   * 0.2.0      2022-03-19 [1] CRAN (R 4.1.3)
 tidyr        * 1.2.0      2022-02-01 [1] CRAN (R 4.1.3)
 tidyselect     1.1.2      2022-02-21 [1] CRAN (R 4.1.3)
 tidyverse    * 1.3.1      2021-04-15 [1] CRAN (R 4.1.3)
 timeDate       3043.102   2018-02-21 [1] CRAN (R 4.1.2)
 tune         * 0.2.0      2022-03-19 [1] CRAN (R 4.1.3)
 tweenr         1.0.2      2021-03-23 [1] CRAN (R 4.1.3)
 tzdb           0.3.0      2022-03-28 [1] CRAN (R 4.1.3)
 usethis        2.1.5      2021-12-09 [1] CRAN (R 4.1.3)
 utf8           1.2.2      2021-07-24 [1] CRAN (R 4.1.3)
 vctrs          0.4.0      2022-03-30 [1] CRAN (R 4.1.3)
 viridisLite    0.4.0      2021-04-13 [1] CRAN (R 4.1.3)
 vroom        * 1.5.7      2021-11-30 [1] CRAN (R 4.1.3)
 warp           0.2.0      2020-10-21 [1] CRAN (R 4.1.3)
 webshot        0.5.2      2019-11-22 [1] CRAN (R 4.1.3)
 withr          2.5.0      2022-03-03 [1] CRAN (R 4.1.3)
 workflows    * 0.2.6      2022-03-18 [1] CRAN (R 4.1.3)
 workflowsets * 0.2.1      2022-03-15 [1] CRAN (R 4.1.3)
 xfun           0.30       2022-03-02 [1] CRAN (R 4.1.3)
 xgboost      * 1.6.0.1    2022-04-16 [1] CRAN (R 4.1.3)
 xml2           1.3.3      2021-11-30 [1] CRAN (R 4.1.3)
 yaml           2.3.5      2022-02-21 [1] CRAN (R 4.1.2)
 yardstick    * 0.0.9      2021-11-22 [1] CRAN (R 4.1.3)

 [1] C:/Users/User/OneDrive/Documents/R/win-library/4.1
 [2] C:/Program Files/R/R-4.1.3/library