Fancier benchmark for fgcs paper

bench/fgcs/20241211_README.tex

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+% Created 2024-12-11 mer 23:24
+% Intended LaTeX compiler: pdflatex
+\documentclass[a4paper, 9pt]{article}
+\usepackage[utf8]{inputenc}
+\usepackage[T1]{fontenc}
+\usepackage{graphicx}
+\usepackage{longtable}
+\usepackage{wrapfig}
+\usepackage{rotating}
+\usepackage[normalem]{ulem}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\usepackage{capt-of}
+\usepackage{hyperref}
+\usepackage{fullpage}
+\usepackage{amsmath}
+\usepackage{graphicx}
+\usepackage{charter}
+\usepackage{listings}
+\lstloadlanguages{R}
+\author{MDL <delucia@gfz.de>}
+\date{2024-12-11}
+\title{A \texttt{barite}-based benchmark for FGCS interpolation paper}
+
+
+
+\begin{document}
+
+\maketitle
+
+\section{Description}
+\label{sec:org739879a}
+
+\begin{itemize}
+\item \texttt{barite\_fgcs\_2.R}: POET input script with circular
+  "crystals" on a 200x200 nodes grid
+
+\item \(\alpha\): isotropic 10\textsuperscript{-5}
+  m\textsuperscript{2}/s outside of the crystals,
+  10\textsuperscript{-7} inside
+\item 200 iterations, dt = 1000 
+\item \texttt{barite\_fgcs\_2.pqi}: PHREEQC input, 4 SOLUTIONS
+  (basically the same as in \texttt{barite} benchmark):
+  \begin{enumerate}
+  \item Equilibrium with Celestite, no mineral \(Rightarrow\)
+  \item Equilibrium with Celestite, KINETICS Celestite (1 mol) and
+    Barite (0 mol)
+  \item Injection of 0.1 BaCl2 from NW corner
+  \item Injection of 0.2 BaCl2 from SE corner
+\end{enumerate}
+
+\item \texttt{db\_barite.dat}: PHREEQC database containing the kinetic
+  expressions for barite and celestite, stripped down from
+  \texttt{phreeqc.dat}
+\end{itemize}
+
+\begin{figure}[htbp]
+  \centering
+  \includegraphics[width=0.48\textwidth]{./fgcs_Celestite_init.pdf}
+  \includegraphics[width=0.48\textwidth]{./fgcs_Barite_200.pdf}
+  \caption{\textbf{Left:} Initial distribution of Celestite
+    "crystals". \textbf{Right:} precipitated Barite}
+\end{figure}
+
+\section{Interpolation}
+\label{sec:org2a09431}
+
+Using the following parametrization:
+
+\begin{lstlisting}
+dht_species <- c("H"         = 7,
+                 "O"         = 7,
+                 "Ba"        = 7,
+                 "Cl"        = 7,
+                 "S(6)"      = 7,
+                 "Sr"        = 7,
+                 "Barite"    = 4,
+                 "Celestite" = 4)
+
+pht_species <- c("Ba"        = 4,
+                 "Cl"        = 3,
+                 "S(6)"      = 3,
+                 "Sr"        = 3,
+                 "Barite"    = 2,
+                 "Celestite" = 2 )
+\end{lstlisting}
+
+Runtime goes from 1800 to 600 s (21 CPUs) but there are "suspect"
+errors especially in O and H, where "suspect" means some values appear
+to be multiplied by 2:
+\begin{figure}[htbp]
+  \centering
+  \includegraphics[width=0.9\textwidth]{./fgcs_interp_1.pdf}
+  \caption{Scatterplots reference vs interpolated after 1 coupling
+    iteration}
+\end{figure}
+\end{document}
+
+%%% Local Variables:
+%%% mode: LaTeX
+%%% TeX-master: t
+%%% End:

bench/fgcs/EvalFGCS.R

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+## Time-stamp: "Last modified 2024-12-11 23:21:25 delucia"
+
+library(PoetUtils)
+library(viridis)
+
+
+res <- ReadPOETSims("./res_fgcs2_96/")
+
+pp <- PlotField(res$iter_200$C$Barite, rows = 200, cols = 200, contour = FALSE,
+                nlevels=12, palette=terrain.colors)
+
+cairo_pdf("fgcs_Celestite_init.pdf", family="serif")
+par(mar=c(0,0,0,0))
+pp <- PlotField((res$iter_000$Celestite), rows = 200, cols = 200,
+                contour = FALSE, breaks=c(-0.5,0.5,1.5),
+                palette = grey.colors, plot.axes = FALSE, scale = FALSE,
+                main="Initial Celestite crystals")
+dev.off()
+
+
+cairo_pdf("fgcs_Ba_init.pdf", family="serif")
+par(mar=c(0,0,0,0))
+pp <- PlotField(log10(res$iter_001$C$Cl), rows = 200, cols = 200,
+                contour = FALSE, 
+                palette = terrain.colors, plot.axes = FALSE, scale = FALSE,
+                main="log10(Ba)")
+dev.off()
+
+
+
+pp <- PlotField(log10(res$iter_002$C$Ba), rows = 200, cols = 200,
+                contour = FALSE, palette = viridis, rev.palette = FALSE,
+                main = "log10(Ba) after 5 iterations")
+
+pp <- PlotField(log10(res$iter_200$C$`S(6)`), rows = 200, cols = 200, contour = FALSE)
+
+
+str(res$iter_00)
+
+res$iter_178$C$Barite
+
+pp <- res$iter_043$C$Barite
+
+breaks <- pretty(pp, n = 5)
+
+br <- c(0, 0.0005, 0.001, 0.002, 0.005, 0.01, 0.02, 0.05, 0.1)
+
+pp <- PlotField(res$iter_200$C$Barite, rows = 200, cols = 200, contour = FALSE,
+                breaks = br, palette=terrain.colors)
+
+
+
+cairo_pdf("fgcs_Barite_200.pdf", family="serif")
+pp <- PlotField(log10(res$iter_200$C$Barite), rows = 200, cols = 200,
+                contour = FALSE, palette = terrain.colors, plot.axes = FALSE,
+                rev.palette = FALSE, main = "log10(Barite) after 200 iter")
+dev.off()
+
+ref <- ReadPOETSims("./res_fgcs_2_ref")
+
+rei <- ReadPOETSims("./res_fgcs_2_interp1/")
+
+
+timref <- ReadRObj("./res_fgcs_2_ref/timings.qs")
+timint <- ReadRObj("./res_fgcs_2_interp1/timings.qs")
+
+timref
+
+timint
+
+wch <- c("H","O", "Ba", "Sr","Cl", "S(6)")
+
+rf <- data.matrix(ref$iter_001$C[, wch])
+r1 <- data.matrix(rei$iter_001$C[, wch])
+
+r1[is.nan(r1)] <- NA
+rf[is.nan(rf)] <- NA
+
+cairo_pdf("fgcs_interp_1.pdf", family="serif", width = 10, height = 7)
+PlotScatter(rf, r1, which = wch, labs = c("ref", "interp"), cols = 3, log="", las = 1, pch=4)
+dev.off()
+
+
+
+head(r1)
+
+head(rf)
+
+rf$O
+r1$O

bench/fgcs/README.org

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+* Refer to the LaTeX file (and pdf) for more information
+

bench/fgcs/barite_fgcs_2.R

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+## Time-stamp: "Last modified 2024-12-11 16:08:11 delucia"
+
+cols <- 200
+rows <- 200
+
+dim_cols <- 10
+dim_rows <- 10
+
+ncirc <- 20 ## number of crystals
+rmax  <- cols/10 ## max radius (in nodes)
+
+set.seed(22933)
+
+centers <- cbind(sample(seq_len(cols), ncirc), sample(seq_len(rows), ncirc))
+radii    <- sample(seq_len(rmax), ncirc, replace=TRUE)
+mi <- matrix(rep(seq_len(cols), rows), byrow = TRUE, nrow = rows)
+mj <- matrix(rep(seq_len(cols), each = rows), byrow = TRUE, nrow = rows)
+
+tmpl <- lapply(seq_len(ncirc), function(x) which((mi-centers[x, 1])^2 + (mj-centers[x, 2])^2 < radii[x]^2, arr.ind = TRUE))
+
+inds <-  do.call(rbind, tmpl)
+grid <- matrix(1, nrow = rows, ncol = cols)
+grid[inds] <- 2
+
+alpha <- matrix( 1e-5, ncol = cols, nrow = rows)
+alpha[inds] <- 1e-7
+
+## image(grid, asp=1)
+
+## Define grid configuration for POET model
+grid_setup <- list(
+  pqc_in_file    = "./barite_fgcs_2.pqi",
+  pqc_db_file    = "./db_barite.dat",     ## database file
+  grid_def       = grid,                  ## grid definition, IDs according to the Phreeqc input 
+  grid_size      = c(dim_cols, dim_rows), ## grid size in meters
+  constant_cells = c()                    ## IDs of cells with constant concentration
+)
+
+bound_length <- cols/10
+
+bound_N <- list(
+  "type"   = rep("constant", bound_length),
+  "sol_id" = rep(3, bound_length),
+  "cell"   = seq(1, bound_length)
+)
+
+bound_W <- list(
+  "type"   = rep("constant", bound_length),
+  "sol_id" = rep(3, bound_length),
+  "cell"   = seq(1, bound_length)
+)
+bound_E <- list(
+  "type"   = rep("constant", bound_length),
+  "sol_id" = rep(4, bound_length),
+  "cell"   = seq(rows-bound_length+1, rows)
+)
+
+bound_S <- list(
+  "type"   = rep("constant", bound_length),
+  "sol_id" = rep(4, bound_length),
+  "cell"   = seq(cols-bound_length+1, cols)
+)
+
+diffusion_setup <- list(
+  boundaries = list(
+    "W" = bound_W,
+    "N" = bound_N,
+    "E" = bound_E,
+    "S" = bound_S
+  ),
+  alpha_x = alpha,
+  alpha_y = alpha
+)
+
+dht_species <- c(
+  "H"         = 7,
+  "O"         = 7,
+  "Ba"        = 7,
+  "Cl"        = 7,
+  "S(6)"      = 7,
+  "Sr"        = 7,
+  "Barite"    = 4,
+  "Celestite" = 4
+)
+
+pht_species <- c(
+  "Ba"        = 4,
+  "Cl"        = 3,
+  "S(6)"      = 3,
+  "Sr"        = 3,
+  "Barite"    = 2,
+  "Celestite" = 2
+)
+
+chemistry_setup <- list(
+  dht_species = dht_species,
+  pht_species = pht_species
+)
+
+## Define a setup list for simulation configuration
+setup <- list(
+  Grid = grid_setup, ## Parameters related to the grid structure
+  Diffusion = diffusion_setup, ## Parameters related to the diffusion process
+  Chemistry = chemistry_setup
+)

bench/fgcs/barite_fgcs_2.pqi

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+SOLUTION 1
+  units	mol/kgw
+  water	1
+  temperature	25
+  pH     7.008 
+  pe    10.798
+  S      6.205e-04
+  Sr     6.205e-04
+END
+
+SOLUTION 2
+  units	mol/kgw
+  water	1
+  temperature	25
+  pH     7.008 
+  pe    10.798
+  S      6.205e-04
+  Sr     6.205e-04
+KINETICS 2
+  Barite
+    -m 0.00
+    -parms 50.  # reactive surface area
+    -tol 1e-9
+  Celestite
+    -m 1
+    -parms 10.0  # reactive surface area
+    -tol 1e-9
+END
+
+SOLUTION 3
+  units mol/kgw
+  water 1
+  temperature 25
+  Ba 0.1
+  Cl 0.2
+END
+
+SOLUTION 4
+  units mol/kgw
+  water 1
+  temperature 25
+  Ba 0.2
+  Cl 0.4
+END
+
+
+RUN_CELLS
+  -cells 1 2 3 4
+END

bench/fgcs/barite_fgcs_2_rt.R

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+iterations <- 200
+dt <- 1000
+
+list(
+    timesteps = rep(dt, iterations),
+    store_result = TRUE
+)