{ "cells": [ { "cell_type": "markdown", "id": "b92e47ef", "metadata": {}, "source": [ "# olivine-melt Fe-Mg Kd" ] }, { "cell_type": "markdown", "id": "53e224cb", "metadata": {}, "source": [ "In this notebook we benchmark MagmaPandas olivine-melt Fe-Mg Kd codes by reproducing calculations and/or figures from literature. When possible, we compare MagmaPandas results to results from codes or data provided with the original publication of the model. Unfortunately, in many cases these are not available, in which case we've compiled the input data ourselves. In these cases, we cannot be 100% sure that we use exacly the same input data and small differences between MagmaPandas results and data in published figures are expected." ] }, { "cell_type": "code", "execution_count": 1, "id": "2d59b46e", "metadata": {}, "outputs": [], "source": [ "import MagmaPandas as mp\n", "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import matplotlib.image as mpimg\n", "import geoplot as gp\n", "\n", "from scipy.constants import R\n", "\n", "from MagmaPandas.Kd.Ol_melt.FeMg.Kd_models import *\n", "from MagmaPandas.Fe_redox.Fe3Fe2_models import borisov2018\n", "from MagmaPandas.model_calibrations import get_calibration_data\n", "\n", "from MagmaPandas.tools.modify_compositions import _remove_elements\n", "\n", "mm = 1 / 25.4" ] }, { "cell_type": "markdown", "id": "8fac49f5", "metadata": {}, "source": [ "### Toplis et al. (2005)" ] }, { "cell_type": "markdown", "id": "a714e02b", "metadata": {}, "source": [ "This model uses equation 10 from {cite:t}`toplis_thermodynamics_2005`. We test our implementation by reproducing figure 15. Here we use a simplified version of toplis' eq. 10. This equation takes the ratios of Fe and Mg activity coefficients as input, instead of the adjusted SiO2 parameter. Otherwise this function is the same as the ``calculate_Kd`` method from ``toplis2005`` in MagmaPandas." ] }, { "cell_type": "code", "execution_count": 2, "id": "f0ec4a2f", "metadata": {}, "outputs": [], "source": [ "def get_T_solidus(P_GPa):\n", " return (-6.435 * P_GPa**2 + 146.533*P_GPa + 1096.154) + 273.15\n", "\n", "def toplis_simplified(T_K, P_bar, forsterite, gFegMg):\n", " return np.exp(\n", " (-6766 / (R * T_K) - 7.34 / R)\n", " + np.log(gFegMg)\n", " + (3000 * (1 - 2 * forsterite) / (R * T_K))\n", " + (0.035 * (P_bar - 1) / (R * T_K)))" ] }, { "cell_type": "code", "execution_count": 3, "id": "c3fb6697", "metadata": {}, "outputs": [], "source": [ "pressures = np.linspace(1, 1e5, 100)\n", "T_solidus = get_T_solidus(pressures / 1e4)\n", "forsterite = 0.9" ] }, { "cell_type": "code", "execution_count": 4, "id": "e51d479f", "metadata": {}, "outputs": [], "source": [ "Kd_toplis = pd.DataFrame(index=pressures)\n", "\n", "for g_ratio in (1.5, 1.3):\n", " Kd_toplis[g_ratio] = toplis_simplified(\n", " T_K=T_solidus, P_bar=pressures, forsterite=forsterite, gFegMg=g_ratio\n", " )" ] }, { "cell_type": "code", "execution_count": 5, "id": "0b981873", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mm = 1/25.4\n", "gp.layout(colors=gp.colors.bella)\n", "\n", "fig, axs = plt.subplots(1, 2, figsize=(180*mm, 90*mm))\n", "\n", "for g, Kd_series in Kd_toplis.items():\n", " axs[0].plot(pressures / 1e4, Kd_series, \"-\", label=g)\n", "\n", "\n", "axs[0].set_xlim(0, 10)\n", "axs[0].set_ylim(0.2, 0.5)\n", "axs[0].legend(frameon=True, fancybox=False)\n", "\n", "axs[0].set_xlabel(\"pressure (GPa)\")\n", "axs[0].set_ylabel(\"$Kd^{Fe-Mg}$ toplis\")\n", "axs[0].set_title(\"MagmaPandas\")\n", "\n", "img = mpimg.imread(\"./data/Kd/Kd_toplis2005_fig15.png\")\n", "axs[1].imshow(img)\n", "axs[1].axis(\"off\")\n", "\n", "axs[1].set_title(\"Toplis et al. (2005) fig 15\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "464bd740", "metadata": {}, "source": [ "### Blundy et al. (2020)" ] }, { "cell_type": "markdown", "id": "0d7744ef", "metadata": {}, "source": [ "This model uses equation 8 from {cite:t}`blundy_effect_2020`. To validate our code we calculate Kd values with the dataset provided by the paper and compare results with fig. 9. If the code is correct, calculated values should plot on the regressed line (red)." ] }, { "cell_type": "code", "execution_count": 6, "id": "215bdf0f", "metadata": {}, "outputs": [], "source": [ "blundy_input_file = \"./data/Kd/Kd_blundy2020_input.csv\"\n", "blundy_input = pd.read_csv(blundy_input_file, index_col=[0])\n", "blundy_input = blundy_input.query(\"(olivine_forsterite.notna()) & (_Fe3Fe2.notna())\")\n", "\n", "compositions_blundy = mp.Melt(blundy_input.iloc[:, :12], units=\"wt. %\", datatype=\"oxide\")" ] }, { "cell_type": "markdown", "id": "4aefc579", "metadata": {}, "source": [ "The default ``calculate_Kd`` method of blundy2020 calculates melt Fe3/Fe2 ratios with provided fO2 values and the borisov2018 model. Here we use ``_calculate_Kd`` instead, where melt Fe3/Fe2 and olivine forsterite content measured in the experiments are directly provided as input." ] }, { "cell_type": "code", "execution_count": 7, "id": "76da48cc", "metadata": {}, "outputs": [], "source": [ "Kd_Fe2_blundy = blundy2020._calculate_Kd(forsterite=blundy_input[\"olivine_forsterite\"], T_K=blundy_input[\"T_K\"], Fe3Fe2=blundy_input[\"_Fe3Fe2\"])\n", "Kd_Fetotal_blundy = Kd_Fe2_blundy * (1 - blundy_input[\"_Fe3Fetotal\"])" ] }, { "cell_type": "markdown", "id": "28b2ef1d", "metadata": {}, "source": [ "Apply eq. 7 to obtain Kd corrected for non-ideality" ] }, { "cell_type": "code", "execution_count": 8, "id": "48776e25", "metadata": {}, "outputs": [], "source": [ "Kd_Fetotal_ideal_blundy = Kd_Fetotal_blundy / np.exp(\n", " (2.6e3 * (1 - 2 * blundy_input[\"olivine_forsterite\"])) / (R * blundy_input[\"T_K\"])\n", ")" ] }, { "cell_type": "code", "execution_count": 9, "id": "05d9fa43", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mm = 1/25.4\n", "gp.layout(colors=gp.colors.bella)\n", "\n", "fig, axs = plt.subplots(1, 2, figsize=(180*mm, 90*mm))\n", "\n", "axs[0].plot((0,1), (0.3642, 0), \"-\", c=\"k\")\n", "axs[0].plot(blundy_input[\"_Fe3Fetotal\"], Kd_Fetotal_ideal_blundy, lw=0.)\n", "\n", "axs[0].set_ylim(0, 0.5)\n", "axs[0].set_xlim(0, 1)\n", "\n", "axs[0].set_xlabel(\"Fe3/Fe(total)\")\n", "axs[0].set_ylabel(\"$Kd_{FeT-Mg}$ (ideal)\")\n", "axs[0].set_title(\"MagmaPandas\")\n", "\n", "img = mpimg.imread(\"./data/Kd/Kd_blundy2020_fig9a.png\")\n", "axs[1].imshow(img)\n", "axs[1].axis(\"off\")\n", "\n", "axs[1].set_title(\"Blundy et al. (2020) fig 9a\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "1cbf4f8b", "metadata": {}, "source": [ "Calculated Kds fall exactly on the regressed line from fig. 9a and the code therefore works as expected." ] }, { "cell_type": "markdown", "id": "98c0fbfd", "metadata": { "vscode": { "languageId": "plaintext" } }, "source": [ "### Putirka (2016), eqs 8a-d" ] }, { "cell_type": "markdown", "id": "d9f7ce0b", "metadata": {}, "source": [ "Eqs. 8a-d from {cite:t}`Putirka2016` are all linear equations based on liquid compositions in oxide wt.% . They require no data processing (e.g. mole and/or cation conversion) and are very straightforward to calculate. We therefore do not provide benchmarking for these models.\n", "\n", "eq. 8a\n", "\n", "$$Kd = 0.33$$\n", "\n", "eq. 8b\n", "\n", "$$Kd =0.21 + 8\\cdot10{-3}P(GPa) + 2.5\\cdot10^{-3}SiO_2\\ wt.\\% - 3.63\\cdot10^{-4} (Na_2O+K_2O\\ wt.\\%)$$\n", "\n", "eq. 8c\n", "\n", "$$Kd = 0.25 + 1.8\\cdot10^{-3} SiO_2\\ wt.\\% - 3.27\\cdot10^{-4}(Na_2O + K_2O\\ wt.\\%)$$\n", "\n", "eq. 8d\n", "\n", "$$Al\\# = Al_2O_3\\ wt.\\% / (Al_2O_3\\ + SiO_2\\ wt.\\%)$$\n", "\n", "$$\n", "Kd = 0.6 + 1.3\\cdot10^{-2}\\ P(GPa) + 1.6\\cdot10^{-2}\\ SiO_2\\ wt.\\% - 1.73\\cdot10^{-4}\\ SiO_2\\ wt.\\%^2 + \n", "\n", "1.79\\cdot10^{-2} Al_2O_3\\ wt.\\% - 2.6 Al\\# + 2.11\\cdot10^{-1}ln(Al\\#) + 3.19\\cdot10^{-5} (Na_2O + K_2O\\ wt.\\%)^3\n", "\n", "$$\n", "\n" ] }, { "cell_type": "markdown", "id": "56fd3e52", "metadata": {}, "source": [ "### Sun et al. (2020)" ] }, { "cell_type": "markdown", "id": "dee57e03", "metadata": {}, "source": [ "{cite:t}`Sun2020a` provide an excelsheet in the supplementary files that calculates equilibrium olivine forsterite contents with Fe-Mg Kds from eq. 7. Using these forsterite contents and melt Mg#'s, we recalculated Kd's and compared those to magmapandas results calculated with eq. 7." ] }, { "cell_type": "code", "execution_count": null, "id": "1ea72559", "metadata": {}, "outputs": [], "source": [ "calibration_sun = get_calibration_data(parameter=\"Kd\", model=\"sun2020\").set_index(\"run\", drop=True)\n", "# only use the elements included in the excel sheet\n", "elements = [\n", " \"SiO2\",\n", " \"TiO2\",\n", " \"Al2O3\",\n", " \"Cr2O3\",\n", " \"FeO\",\n", " \"MnO\",\n", " \"MgO\",\n", " \"CaO\",\n", " \"Na2O\",\n", " \"K2O\",\n", " \"P2O5\",\n", " \"NiO\",\n", " \"H2O\",\n", " \"CO2\",\n", "]\n", "compositions_sun = mp.Melt(calibration_sun.loc[:,elements], units=\"wt. %\", datatype=\"oxide\")\n", "compositions_sun = compositions_sun.fillna(0.)\n", "\n", "Kd_sun_file = \"./data/Kd/Kd_sun2020.csv\"\n", "Kd_sun = pd.read_csv(Kd_sun_file, index_col=[0])" ] }, { "cell_type": "markdown", "id": "bc5f94b2", "metadata": {}, "source": [ "The sun excelsheet calculated Kds with Fe(total), while magmapandas uses inputted Fe3/Fe2 ratios to convert to Fe2+ Kds. Here we use a fixed Fe3/Fe2 ratio of 0.2 to convert the magmapandas Kds back to Fe(total)." ] }, { "cell_type": "code", "execution_count": 11, "id": "d02d0d93", "metadata": {}, "outputs": [], "source": [ "Fe3Fe2 = 0.2\n", "Fe3Fetotal = Fe3Fe2 / (1+Fe3Fe2)\n", "\n", "Kd_Fe2_sun_magmapandas = sun2020.calculate_Kd(melt_mol_fractions=compositions_sun.moles(), Fe3Fe2=Fe3Fe2)\n", "Kd_Fetotal_sun_magmapandas = Kd_Fe2_sun_magmapandas * (1 - Fe3Fetotal)" ] }, { "cell_type": "code", "execution_count": 12, "id": "0baa03b2", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mm = 1 / 25.4\n", "gp.layout(colors=gp.colors.bright)\n", "\n", "fig, ax = plt.subplots(figsize=(90 * mm, 85 * mm))\n", "\n", "ax.plot((0.25, 0.75), (0.25, 0.75), \"--\", c=\"k\")\n", "ax.plot(Kd_sun[\"Kd_Fetotal\"], Kd_Fetotal_sun_magmapandas, lw=0.)\n", "\n", "ax.set_xlabel(\"Sun excelsheet Kd(Fetotal-Mg)\")\n", "ax.set_ylabel(\"magmapandas Kd(Fetotal-Mg)\")\n", "\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "d0ac3179", "metadata": {}, "source": [ "### Saper et al. (2022)" ] }, { "cell_type": "markdown", "id": "1a7c7f74", "metadata": {}, "source": [ "MagmaPandas implements eq. 2 with model 2 parameter values from {cite:t}`Saper2022`. To validate our code, we reproduce fig. 6a from the original paper, using data from tables 2 and 3 as input. In this figure, melt Fe2+ is calculated with the Borisov et al. (2018) model." ] }, { "cell_type": "code", "execution_count": 13, "id": "e53d7319", "metadata": {}, "outputs": [], "source": [ "data_file = \"./data/Kd/Kd_saper2022_table3_glass.csv\"\n", "data= pd.read_csv(data_file, index_col=[0])\n", "\n", "# data = data.query(\"run_type == 'E'\")\n", "compositions = mp.Melt(data.iloc[:,7:-1], units=\"wt. %\", datatype=\"oxide\")" ] }, { "cell_type": "code", "execution_count": 14, "id": "ca355757", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/thomas/Dropbox/research/python/packages/MagmaPandas/src/MagmaPandas/parse_io/parse.py:61: UserWarning: P2O5 missing in composition and set to 0.\n", " w.warn(\n" ] } ], "source": [ "Fe3Fe2_saper = borisov2018.calculate_Fe3Fe2(\n", " melt_mol_fractions=compositions.moles(), T_K=data[\"T_K\"], fO2=data[\"fO2\"]\n", ")\n", "Fe3Fetotal_saper = Fe3Fe2_saper / (1 + Fe3Fe2_saper)\n", "\n", "data[\"Kd_Fe2Mg_measured\"] = data[\"Kd_FeTMg\"] / (1 - Fe3Fetotal_saper)\n", "data[\"Kd_Fe2Mg_predicted\"] = saper2022.calculate_Kd(\n", " melt_mol_fractions=compositions.moles(), T_K=data[\"T_K\"], Fe3Fe2=Fe3Fe2_saper\n", ")" ] }, { "cell_type": "code", "execution_count": 15, "id": "b79c0dbb", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mm = 1 / 25.4\n", "limits = (0.3, 0.37)\n", "\n", "gp.layout(colors=gp.colors.bright)\n", "markers = gp.markers\n", "colors = gp.colors.bright.by_key()[\"color\"]\n", "edgecolors = gp.colors.bright.by_key()[\"markeredgecolor\"]\n", "markersizes = gp.marker_sizes * 6\n", "\n", "\n", "fig, axs = plt.subplots(1, 2, figsize=(180 * mm, 90 * mm))\n", "\n", "axs[0].plot(limits, limits, \"-\", c=\"k\")\n", "for i, (compositions, df) in enumerate(data.groupby(\"starting_composition\")):\n", " if all((df[\"T_K\"] - df[\"T_K\"].iloc[0]) == 0):\n", " axs[0].plot(\n", " df[\"Kd_Fe2Mg_measured\"],\n", " df[\"Kd_Fe2Mg_predicted\"],\n", " markers[i],\n", " ms=markersizes[i],\n", " c=colors[i],\n", " mec=edgecolors[i],\n", " label=compositions,\n", " )\n", " else:\n", " for T, df_2 in df.groupby(\"T_K\"):\n", " axs[0].plot(\n", " df_2[\"Kd_Fe2Mg_measured\"].mean(),\n", " df_2[\"Kd_Fe2Mg_predicted\"].mean(),\n", " markers[i],\n", " ms=markersizes[i],\n", " c=colors[i],\n", " mec=edgecolors[i],\n", " label=compositions,\n", " )\n", "\n", "handles, labels = axs[0].get_legend_handles_labels()\n", "legend_dict = dict(zip(labels, handles))\n", "axs[0].legend(legend_dict.values(), legend_dict.keys())\n", "\n", "axs[0].set_ylim(*limits)\n", "axs[0].set_xlim(*limits)\n", "\n", "\n", "axs[0].set_xlabel(\"Kd_Fe2Mg measured\")\n", "axs[0].set_ylabel(\"Kd_Fe2Mg predicted\")\n", "axs[0].set_title(\"MagmaPandas\")\n", "\n", "img = mpimg.imread(\"./data/Kd/Kd_saper2022_fig6a.png\")\n", "axs[1].imshow(img)\n", "axs[1].axis(\"off\")\n", "\n", "axs[1].set_title(\"Saper et al. (2022) fig 6a\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "24f3b1f5", "metadata": {}, "source": [ "Note that the plot shows averages per temperature for the various starting compositions. However, for synMORB Mg40 compositions it is unclear how the data were grouped and these are left as individual points in our plot" ] } ], "metadata": { "kernelspec": { "display_name": "py310", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.17" } }, "nbformat": 4, "nbformat_minor": 5 }