tadd first fit to flux plot - hansen-zoet-exp - comparison of lab and model results of sediment advection
HTML git clone git://src.adamsgaard.dk/hansen-zoet-exp
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---
DIR commit 2d398582b3eedc34521506c01327b56026b6fd92
DIR parent 466d1475ad8b77a69b386574470ec6e77040a89d
HTML Author: Anders Damsgaard <anders@adamsgaard.dk>
Date: Thu, 12 May 2022 15:34:55 +0200
add first fit to flux plot
Diffstat:
A fig-fit/Makefile | 64 +++++++++++++++++++++++++++++++
A fig-fit/fig-mohr_coulomb.gp | 27 +++++++++++++++++++++++++++
A fig-fit/fig-sediment_flux.gp | 42 +++++++++++++++++++++++++++++++
A fig-fit/fig-strain_distribution.gp | 47 +++++++++++++++++++++++++++++++
A fig-fit/rs_sediment_flux_100ma.txt | 3 +++
A fig-fit/rs_sediment_flux_300ma.txt | 2 ++
6 files changed, 185 insertions(+), 0 deletions(-)
---
DIR diff --git a/fig-fit/Makefile b/fig-fit/Makefile
t@@ -0,0 +1,64 @@
+BIN = ../cngf-pf/cngf-pf
+FIG = fig-fit
+
+#stressvals != range -n 20 1 100
+stressvals != range -l -n 20 0 2
+
+velvals = 3.169e-6 9.506e-6
+
+default: \
+ ../$(FIG)-strain_distribution.pdf \
+ ../$(FIG)-mohr_coulomb.pdf \
+ ../$(FIG)-sediment_flux.pdf
+
+strain_distribution_N5kPa_v3.169e-6ms.txt: $(BIN) Makefile
+ sh -c '\
+ for v in ${velvals}; do \
+ for P in ${stressvals}; do \
+ ./$(BIN) \
+ -d 530.7e-6 \
+ -m 0.6 \
+ -c 0e3 \
+ -s $${v} \
+ -L 0.11 \
+ -n $${P}e3 \
+ -A 0.33 \
+ -b 0.002 \
+ > strain_distribution_N$${P}kPa_v$${v}ms.txt; \
+ echo strain_distribution_N$${P}kPa_v$${v}ms.txt; \
+ done; done'
+ # also close: lower A, higher b
+
+mohr_coulomb_v3.169e-6ms.txt: strain_distribution_N5kPa_v3.169e-6ms.txt Makefile
+ sh -c '\
+ rm -f mohr_coulomb_v*ms.txt; \
+ for v in ${velvals}; do \
+ for P in ${stressvals}; do \
+ tail -n 1 strain_distribution_N$${P}kPa_v$${v}ms.txt >> mohr_coulomb_v$${v}ms.txt; \
+ done; done'
+
+sediment_flux_v3.169e-6ms.txt: strain_distribution_N5kPa_v3.169e-6ms.txt Makefile
+ sh -c '\
+ rm -f sediment_flux_v*ms.txt; \
+ for v in ${velvals}; do \
+ for P in ${stressvals}; do \
+ (printf "%ge3\t" $$P; ../cngf-pf/shear_flux < strain_distribution_N$${P}kPa_v$${v}ms.txt) >> sediment_flux_v$${v}ms.txt; \
+ echo sediment_flux_v$${v}ms.txt; \
+ done; done'
+
+../$(FIG)-strain_distribution.pdf: fig-strain_distribution.gp strain_distribution_N5kPa_v3.169e-6ms.txt
+ gnuplot fig-strain_distribution.gp > $@
+
+../$(FIG)-mohr_coulomb.pdf: fig-mohr_coulomb.gp mohr_coulomb_v3.169e-6ms.txt
+ gnuplot fig-mohr_coulomb.gp > $@
+
+../$(FIG)-sediment_flux.pdf: fig-sediment_flux.gp sediment_flux_v3.169e-6ms.txt
+ gnuplot fig-sediment_flux.gp > $@
+
+clean:
+ rm -f strain_distribution_*.txt mohr_coulomb_*.txt sediment_flux_*.txt
+ rm -f ../$(FIG)-strain_distribution.pdf
+ rm -f ../$(FIG)-mohr_coulomb.pdf
+ rm -f ../$(FIG)-sediment_flux.pdf
+
+.PHONY: default clean
DIR diff --git a/fig-fit/fig-mohr_coulomb.gp b/fig-fit/fig-mohr_coulomb.gp
t@@ -0,0 +1,27 @@
+#!/usr/bin/env gnuplot
+
+reset
+
+set terminal pdfcairo enhanced color size 7.5 cm, 8 cm
+set multiplot layout 2,1
+
+#set lmargin 7.0
+#set bmargin 3.5
+#set rmargin 2.0
+#set tmargin 2.0
+
+#set yrange [0.0:0.73]
+#set xrange [-0.13:1.13]
+#set key bottom right #samplen 0.9
+
+#set xlabel "Effective normal stress, {/Symbol s}_n' [kPa]"
+set ylabel "Shear stress, {/Symbol t} [kPa]"
+set key bottom right font ",10"
+plot "mohr_coulomb_v3.169e-6ms.txt" u ($3/1e3):($3*$5/1e3) w lp title "v = 100 m/a", \
+ "mohr_coulomb_v9.506e-6ms.txt" u ($3/1e3):($3*$5/1e3) w lp title "v = 300 m/a"
+
+set xlabel "Effective normal stress, {/Symbol s}_n' [kPa]"
+set ylabel "Shear friction, {/Symbol m} [-]"
+set key top right font ",10"
+plot "mohr_coulomb_v3.169e-6ms.txt" u ($3/1e3):5 w lp title "v = 100 m/a", \
+ "mohr_coulomb_v9.506e-6ms.txt" u ($3/1e3):5 w lp title "v = 300 m/a"
DIR diff --git a/fig-fit/fig-sediment_flux.gp b/fig-fit/fig-sediment_flux.gp
t@@ -0,0 +1,42 @@
+#!/usr/bin/env gnuplot
+
+reset
+
+set terminal pdfcairo enhanced color size 7.5 cm, 10 cm
+set multiplot layout 2,1
+
+rswidth = 1
+
+#set lmargin 7.0
+#set bmargin 3.5
+#set rmargin 2.0
+#set tmargin 2.0
+
+#set xrange [-5 : 105]
+#set yrange [0 : 0.11]
+
+# https://sodocumentation.net/gnuplot/topic/8825/fit-data-with-gnuplot
+#f(x) = a * exp(b * x)
+f(x, v) = a * x**b * v
+fit f(x, 100) "sediment_flux_v3.169e-6ms.txt" u ($1/1000):($2*3600*24*365.25*rswidth) via a,b
+fitparams = sprintf("{/:Italic q}_t = %.2e {/:Italic v N'}^{%.3g}", a, b)
+
+set xrange [0:*]
+set yrange [0:*]
+
+#set xlabel "Normalized horizontal velocity, v_x [-]"
+set xlabel "Effective stress, {/:Italic N'} [kPa]"
+#set ylabel "Spec. sediment flux [m²/a]"
+set ylabel "Sediment flux, {/:Italic q}_t [m³/a]"
+set key bottom right font ",10" #samplen 0.9
+set title "{/:Italic v} = 100 m/a"
+set yrange [0:1]
+plot "rs_sediment_flux_100ma.txt" u ($1/1000):($2) w p ps 2 t "Hansen and Zoet 2022", \
+ "sediment_flux_v3.169e-6ms.txt" u ($1/1000):($2*3600*24*365.25*rswidth) w p ps 0.5 t "CNGF-PF", \
+ f(x, 100) t fitparams
+
+set title "{/:Italic v} = 300 m/a"
+set yrange [0:*]
+plot "rs_sediment_flux_300ma.txt" u ($1/1000):($2) w p ps 2 t "Hansen and Zoet 2022", \
+ "sediment_flux_v9.506e-6ms.txt" u ($1/1000):($2*3600*24*365.25*rswidth) w p ps 0.5 t "CNGF-PF", \
+ f(x, 300) t fitparams
DIR diff --git a/fig-fit/fig-strain_distribution.gp b/fig-fit/fig-strain_distribution.gp
t@@ -0,0 +1,46 @@
+#!/usr/bin/env gnuplot
+
+reset
+
+set terminal pdfcairo enhanced color size 7.5 cm, 10 cm
+set multiplot layout 2,1
+
+#set lmargin 7.0
+#set bmargin 3.5
+#set rmargin 2.0
+#set tmargin 2.0
+
+set xrange [-5 : 105]
+set yrange [0 : 0.11]
+
+#set xlabel "Normalized horizontal velocity, v_x [-]"
+set xlabel "Horizontal velocity, v_x [m/a]"
+set ylabel "Vertical position, z [m]"
+set key bottom right font ",10" #samplen 0.9
+set title "v = 100 m/a"
+plot "strain_distribution_N8kPa_v3.169e-6ms.txt" u ($2*365*24*3600):1 w l lw 2 title "{/Symbol s}_n' = 8 kPa", \
+ "strain_distribution_N22kPa_v3.169e-6ms.txt" u ($2*365*24*3600):1 w l lw 2 title "{/Symbol s}_n' = 22 kPa", \
+ "strain_distribution_N50kPa_v3.169e-6ms.txt" u ($2*365*24*3600):1 w l lw 2 title "{/Symbol s}_n' = 50 kPa"
+
+#unset xrange
+
+##set xlabel "Normalized horizontal velocity, v_x [-]"
+#set xlabel "Shear-strain rate, dv_x/dz [1/d]"
+#set ylabel "Vertical position, z [m]"
+#set key bottom right font ",10" #samplen 0.9
+#plot "strain_distribution_N8kPa_v9.506e-6ms.txt" u ($6*24*3600):1 w l lw 2 title "{/Symbol s}_n' = 8 kPa", \
+ #"strain_distribution_N22kPa_v9.506e-6ms.txt" u ($6*24*3600):1 w l lw 2 title "{/Symbol s}_n' = 22 kPa", \
+ #"strain_distribution_N50kPa_v9.506e-6ms.txt" u ($6*24*3600):1 w l lw 2 title "{/Symbol s}_n' = 50 kPa"
+
+
+set xrange [-5 : 305]
+set yrange [0 : 0.11]
+
+#set xlabel "Normalized horizontal velocity, v_x [-]"
+set xlabel "Horizontal velocity, v_x [m/a]"
+set ylabel "Vertical position, z [m]"
+set key bottom right font ",10" #samplen 0.9
+set title "v = 300 m/a"
+plot "strain_distribution_N8kPa_v9.506e-6ms.txt" u ($2*365*24*3600):1 w l lw 2 title "{/Symbol s}_n' = 8 kPa", \
+ "strain_distribution_N22kPa_v9.506e-6ms.txt" u ($2*365*24*3600):1 w l lw 2 title "{/Symbol s}_n' = 22 kPa", \
+ "strain_distribution_N50kPa_v9.506e-6ms.txt" u ($2*365*24*3600):1 w l lw 2 title "{/Symbol s}_n' = 50 kPa"
+\ No newline at end of file
DIR diff --git a/fig-fit/rs_sediment_flux_100ma.txt b/fig-fit/rs_sediment_flux_100ma.txt
t@@ -0,0 +1,3 @@
+8.53e3 0.351 0.0053 0.0238
+22.2e3 0.510 0.0134 0.0434
+50.4e3 0.661 0.0835 0.0434
DIR diff --git a/fig-fit/rs_sediment_flux_300ma.txt b/fig-fit/rs_sediment_flux_300ma.txt
t@@ -0,0 +1,2 @@
+21.2e3 1.51 0.153
+50.2e3 1.99 0.0959