{ "cells": [ { "cell_type": "markdown", "id": "9bac7cc9-7f1a-4e4b-9bfc-68a5c38c3680", "metadata": {}, "source": [ "# Adiabatic Decompression melting of peridotite and pyroxenite mantle sources" ] }, { "cell_type": "markdown", "id": "d5600c0b-13a0-4241-9b95-7c7d2796c4ce", "metadata": {}, "source": [ "- One of the principal uses of pMELTS (Ghiorso et al. 2002) is simulating mantle melting during adiabatic decompression.\n", "- Alternative thermodynamic models (e.g., Holland et al. 2018) have also been used to simulate mantle melting in the literature, with the most recent iteration of these models implemented through MAGEMin (Green et al. 2025; Riel et al. 2022).\n", "- PetThermoTools allows the user to run melting simulations using either thermodynamic model and compare these results to recent empirical parameterisations of mantle melting (pyMelt; Matthews et al. 2022).\n", "\n", "**Before any calculations can be run** users need to download the alphaMELTS for Python files. Please see the installation guide on ReadTheDocs.\n", "\n", "Additionally, much of the code presented here represents calculations performed using MAGEMin, not alphaMELTS for Python. As a result, please ensure that you've followed the instructions for installing juliacall and MAGEMinCalc (see associated notebook)." ] }, { "cell_type": "markdown", "id": "1ae9ad56", "metadata": {}, "source": [ "**Calculations in pyMelt and calculations with pMELTS using Tp_C rather than T_start_C are currently disabled (April 2026)**" ] }, { "cell_type": "code", "execution_count": 1, "id": "415ac0ca-3674-4c16-abb9-4c916f3173c1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "alphaMELTS for Python files successfully located.\n", "If using the Green et al. (2025) or Weller et al. (2024) thermodynamic models please run `ptt.activate_petthermotools_env()` prior to any calculations.\n" ] } ], "source": [ "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import petthermotools as ptt" ] }, { "cell_type": "code", "execution_count": 2, "id": "5b05db18", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Julia environment detected.\n", "Detected IPython. Loading juliacall extension. See https://juliapy.github.io/PythonCall.jl/stable/compat/#IPython\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ " Activating project at `~/.petthermotools_julia_env`\n", "Precompiling project...\n", " 2013.6 ms ✓ MAGEMinCalc\n", " 1 dependency successfully precompiled in 2 seconds. 115 already precompiled.\n", " 1 dependency had output during precompilation:\n", "┌ MAGEMinCalc\n", "│ Using libMAGEMin.dylib from MAGEMin_jll\n", "└ \n", "Precompiling MAGEMinCalc...\n", " 530.9 ms ? PythonCall\n", "Info Given MAGEMinCalc was explicitly requested, output will be shown live \u001b[0K\n", "\u001b[0KUsing libMAGEMin.dylib from MAGEMin_jll\n", "\u001b[0K┌ Warning: Module PythonCall with build ID fafbfcfd-3501-17ed-0393-e686105ae5fb is missing from the cache.\n", "\u001b[0K│ This may mean PythonCall [6099a3de-0909-46bc-b1f4-468b9a2dfc0d] does not support precompilation but is imported by a module that does.\n", "\u001b[0K└ @ Base loading.jl:2541\n", " 1083.3 ms ? MAGEMinCalc\n", "[ Info: Precompiling MAGEMinCalc [dd69d18c-a947-4316-a873-d8ea006ff1b2] (cache misses: wrong dep version loaded (2), mismatched flags (2))\n", "┌ Warning: Module PythonCall with build ID fafbfcfd-3501-17ed-0393-e686105ae5fb is missing from the cache.\n", "│ This may mean PythonCall [6099a3de-0909-46bc-b1f4-468b9a2dfc0d] does not support precompilation but is imported by a module that does.\n", "└ @ Base loading.jl:2541\n", "┌ Info: Skipping precompilation due to precompilable error. Importing MAGEMinCalc [dd69d18c-a947-4316-a873-d8ea006ff1b2].\n", "└ exception = Error when precompiling module, potentially caused by a __precompile__(false) declaration in the module.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Using libMAGEMin.dylib from MAGEMin_jll\n", "Using libMAGEMin.dylib from MAGEMin_jll\n", " From worker 3:\tUsing libMAGEMin.dylib from MAGEMin_jll\n", " From worker 5:\tUsing libMAGEMin.dylib from MAGEMin_jll\n", " From worker 2:\tUsing libMAGEMin.dylib from MAGEMin_jll\n", " From worker 4:\tUsing libMAGEMin.dylib from MAGEMin_jll\n", "Julia Environment Ready. MAGEMinCalc v0.6.0 detected\n" ] } ], "source": [ "ptt.activate_petthermotools_env()" ] }, { "cell_type": "code", "execution_count": 4, "id": "c8e6cd37", "metadata": {}, "outputs": [], "source": [ "# used to suppress MELTS outputs in MacOS systems (run twice)\n", "import platform\n", "if platform.system() == \"Darwin\":\n", " import sys\n", " import os\n", " sys.stdout = open(os.devnull, 'w')\n", " sys.stderr = open(os.devnull, 'w')" ] }, { "cell_type": "markdown", "id": "ffea3ad9", "metadata": {}, "source": [ "## Examining the influence of source lithology on melting behaviours" ] }, { "cell_type": "markdown", "id": "193840e8-98be-4f5e-a883-f48a18bb9bb1", "metadata": {}, "source": [ "First, we'll simulate adiabatic decompression melting of a mantle peridotite at 'typical' mantle potential temperatures (T$_p$ ~ 1350 $^o$C, although in the example below we provide a starting temperature at depth rather than a true potential temperature), with melting terminating at ~2 kbar, representing the type of conditions we might expect for decompression melting beneath a mid-ocean ridge.\n", "\n", "The calculation is easy to set up. In this case we set up a list of Models to use (pMELTS and Green et al. (2025)), and select the pre-defined bulk composition of the KLB-1 peridotite. We loop through the model list to perform the calculations between 30 kbar (3.0 GPa) and 2000 bars (0.2 GPa)." ] }, { "cell_type": "code", "execution_count": 5, "id": "e728335e-3e40-422e-a81a-aa600e150953", "metadata": {}, "outputs": [], "source": [ "Model = ['pMELTS','Green2025']\n", "Results = {}\n", "for m in Model:\n", " Results[m] = ptt.AdiabaticDecompressionMelting(Model = m, bulk = \"KLB-1\",\n", " T_start_C = 1450.0, P_start_bar = 30000.0, P_end_bar = 2000.0, dp_bar = 200.0)" ] }, { "cell_type": "markdown", "id": "bad4b404", "metadata": {}, "source": [ "PetThermoTools includes a `phase_plot` function that, when the y-axis is specified as `P_bar`, will plot the mass fraction of each phase against pressure during the mantle melting calculations." ] }, { "cell_type": "code", "execution_count": 6, "id": "69a9c7cc", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(
,\n", " )" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ptt.phase_plot(Results['pMELTS'], \n", " y_axis=\"P_bar\")" ] }, { "cell_type": "code", "execution_count": 7, "id": "aa11ea11", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(
,\n", " )" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ptt.phase_plot(Results['Green2025'],\n", " y_axis=\"P_bar\")" ] }, { "cell_type": "markdown", "id": "996b2c08", "metadata": {}, "source": [ "We can also use Thermobar (Wieser et al. 2023) to examine the mineral compositions predicted by these two models. Specifically we can plot the clinoyproxene and orthopyroxene data on a pyroxene quadrilateral." ] }, { "cell_type": "code", "execution_count": 8, "id": "786b5cd7", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import ternary\n", "import Thermobar as pt\n", "\n", "fig, tax = pt.plot_px_classification(\n", " figsize=(10,5))\n", "\n", "cpx_comps_tern_green = pt.tern_points_px(\n", " px_comps=Results['Green2025']['clinopyroxene1'])\n", "tax.scatter(cpx_comps_tern_green, ec = 'k',\n", " marker = 'o', facecolor = 'r', s = 90,\n", " label = 'Cpx - Green')\n", "\n", "opx_comps_tern_green = pt.tern_points_px(\n", " px_comps=Results['Green2025']['orthopyroxene1'])\n", "tax.scatter(opx_comps_tern_green, ec = 'k',\n", " marker = 'o', facecolor = 'b', s = 90,\n", " label = 'Opx - Green')\n", "\n", "cpx_comps_tern_melts = pt.tern_points_px(\n", " px_comps=Results['pMELTS']['clinopyroxene1'])\n", "tax.scatter(cpx_comps_tern_melts, ec = 'k',\n", " marker = 'd', facecolor = 'y', s = 90,\n", " label = 'Cpx - pMELTS')\n", "\n", "opx_comps_tern_melts = pt.tern_points_px(\n", " px_comps=Results['pMELTS']['orthopyroxene1'])\n", "tax.scatter(opx_comps_tern_melts, ec = 'k',\n", " marker = 'd', facecolor = 'c', s = 90,\n", " label = 'Opx - pMELTS')\n", "\n", "tax.legend()" ] }, { "cell_type": "markdown", "id": "ebe43be9", "metadata": {}, "source": [ "However, there is ongoing debate regarding the lithology of the mantle, even in the source region of mid-ocean ridge systems, and so it might be informative to also model the melting behaviour of a pyroxenitic mantle lithology instead. To perform that calculation we can set up the model in the same way as above, but instead specify the pre-defined composition of the KG1 silica-deficient pyroxenite.\n", "\n", "We can also go beyond 'simply' comparing the different thermodynamic models (pMELTS vs Green et al. (2025)). PetThermoTools is designed to integrate withthe empirical parameterizations for both lherzolite and pyroxenite melting in pyMelt (Matthews et al. 2022). To do so, all we need to do it chance the 'Model' parameter. The code below simulates melting of both lherzolite (KLB-1) and pyroxenite (KG1) lithologies using both the Green et al. (2025) thermodynamic model and the pyMelt empirical parameterizations from Matthews et al. (2021)." ] }, { "cell_type": "markdown", "id": "b866de66", "metadata": {}, "source": [ "**Calculations in pyMelt and calculations with pMELTS using Tp_C rather than T_start_C are currently disabled (April 2026)**" ] }, { "cell_type": "code", "execution_count": 9, "id": "d44ebd4b", "metadata": {}, "outputs": [], "source": [ "Model = ['Green2025'] # 'pyMelt', \n", "Results_KLB = {}\n", "Results_KG1 = {}\n", "for m in Model:\n", " Results_KLB[m] = ptt.AdiabaticDecompressionMelting(Model = m, bulk = \"KLB-1\",\n", " Tp_C = 1350.0, P_start_bar = 40000.0, P_end_bar = 2000.0, dp_bar = 250.0)\n", " Results_KG1[m] = ptt.AdiabaticDecompressionMelting(Model = m, bulk = \"KG1\",\n", " Tp_C = 1350.0, P_start_bar = 40000.0, P_end_bar = 2000.0, dp_bar = 250.0)" ] }, { "cell_type": "markdown", "id": "2f5a17ca", "metadata": {}, "source": [ "Plotting the results (as pressure against melt fraction and temperature) reveals an earlier melt initiation during melting of pyroxenite lithologies in the thermodynamic models (compared to pyMelt), with an higher melt fraction at each pressure for the thermodynamic models results. Notably, our calculations indicate that the solid adiabat for a pure pyroxenitic mantle results in a signficantly higher temperature at elevated pressures (>2 GPa) than a pure lherzolitic mantle." ] }, { "cell_type": "code", "execution_count": 10, "id": "38c6454b", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, a = plt.subplots(1,1, figsize = (2.5, 5))\n", "# a.plot(Results_KLB[\"pyMelt\"][\"All\"][\"mass_g_Liq\"],\n", "# Results_KLB['pyMelt']['All']['P_bar'],':b',\n", "# label='KLB-1; pyMelt')\n", "a.plot(Results_KLB[\"Green2025\"][\"All\"][\"mass_g_Liq\"],\n", " Results_KLB['Green2025']['All']['P_bar'],'-b',\n", " label='KLB-1; Green')\n", "\n", "# a.plot(Results_KG1[\"pyMelt\"][\"All\"][\"mass_g_Liq\"],\n", "# Results_KG1['pyMelt']['All']['P_bar'],':r',\n", "# label='KG1; pyMelt')\n", "a.plot(Results_KG1[\"Green2025\"][\"All\"][\"mass_g_Liq\"],\n", " Results_KG1['Green2025']['All']['P_bar'],'-r',\n", " label='KG1; Green')\n", "\n", "a.set_ylim([40000,0])\n", "a.set_ylabel('Pressure (bar)')\n", "a.set_xlabel('Melt Fraction')\n", "a.legend()" ] }, { "cell_type": "code", "execution_count": 11, "id": "e3332338", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, a = plt.subplots(1,1, figsize = (2.5, 5))\n", "# a.plot(Results_KLB[\"pyMelt\"][\"All\"][\"T_C\"],\n", "# Results_KLB['pyMelt']['All']['P_bar'],':b',\n", "# label='KLB-1; pyMelt')\n", "a.plot(Results_KLB[\"Green2025\"][\"All\"][\"T_C\"],\n", " Results_KLB['Green2025']['All']['P_bar'],'-b',\n", " label='KLB-1; Green')\n", "\n", "# a.plot(Results_KG1[\"pyMelt\"][\"All\"][\"T_C\"],\n", "# Results_KG1['pyMelt']['All']['P_bar'],':r',\n", "# label='KG1; pyMelt')\n", "a.plot(Results_KG1[\"Green2025\"][\"All\"][\"T_C\"],\n", " Results_KG1['Green2025']['All']['P_bar'],'-r',\n", " label='KG1; Green')\n", "\n", "a.set_ylim([40000,0])\n", "a.set_ylabel('Pressure (bar)')\n", "a.set_xlabel('Melt Fraction')\n", "a.legend()" ] }, { "cell_type": "markdown", "id": "c463b50c", "metadata": {}, "source": [ "## Utilizing outputs to calculate the SCSS of mantle melts" ] }, { "cell_type": "markdown", "id": "01354b9d", "metadata": {}, "source": [ "The outputs from all PetThermoTools functions are designed to integrate easily with other Python3 tools designed to facilitate petrological research (e.g., Thermobar, pyMelt, PySulfSat). A nice example of this can be found on the PySulfSat readthedocs page where fractional crystallization models at different pressures are combined with models for the sulfur content at sulfide saturation (SCSS) to determine the sulfur capacity of magmas undergoing fractional crystallization at different levels within the crust (https://pysulfsat.readthedocs.io/en/latest/Examples/Integrating_with_PyMELTS/Polybaric_FC_Model.html).\n", "\n", "Here, we demonstrate a similar example, but instead of looking at crystallization we'll take the calculations above, which include predictions for the major element content of mantle melts produced during adiabat decompression melting beneath a mid-ocean ridge, to determine the SCSS of primary mantle melts at the pressure of melt generation. To start, we need to install (if you haven't already) and import PySulfSat." ] }, { "cell_type": "code", "execution_count": 12, "id": "0c1b54c5-eb6f-4581-b6a7-3651431ac5b9", "metadata": {}, "outputs": [], "source": [ "# !pip install PySulfSat\n", "import PySulfSat as ss" ] }, { "cell_type": "markdown", "id": "e97fa9c8", "metadata": {}, "source": [ "For this example we'll simply use the Smythe et al. (2017) SCSS model with a fixed sulfide composition. To explore how different SCSS models, or ways to determine the sulfide composition, can be modelled with PySulfSat please go to the PySulfSat readthedocs page (https://pysulfsat.readthedocs.io/en/latest/).\n", "\n", "Without modifying the PetThermoTools outputs in any way we can use the results from the calculations above to determine the SCSS of lherozolite and pyroxenite mantle melts at the conditions of melt generation:" ] }, { "cell_type": "code", "execution_count": 13, "id": "6cbdeaf2", "metadata": {}, "outputs": [], "source": [ "import PySulfSat as ss\n", "Smythe17_KLB1=ss.calculate_S2017_SCSS(\n", " df=Results_KLB['Green2025']['All'],\n", " T_K=Results_KLB['Green2025']['All']['T_C']+273.15, \n", " P_kbar=Results_KLB['Green2025']['All']['P_bar']/1000, \n", " H2O_Liq=Results_KLB['Green2025']['All']['H2O_Liq'],Fe_FeNiCu_Sulf=0.6, \n", " Fe3Fet_Liq=Results_KLB['Green2025']['All']['Fe3Fet_Liq'])" ] }, { "cell_type": "code", "execution_count": 14, "id": "6d19c06b", "metadata": {}, "outputs": [], "source": [ "Smythe17_KG1=ss.calculate_S2017_SCSS(\n", " df=Results_KG1['Green2025']['All'], \n", " T_K=Results_KG1['Green2025']['All']['T_C']+273.15, \n", " P_kbar=Results_KG1['Green2025']['All']['P_bar']/1000, \n", " H2O_Liq=Results_KG1['Green2025']['All']['H2O_Liq'], Fe_FeNiCu_Sulf=0.6, \n", " Fe3Fet_Liq=Results_KG1['Green2025']['All']['Fe3Fet_Liq'])" ] }, { "cell_type": "markdown", "id": "70dd2827", "metadata": {}, "source": [ "To examine these results we can plot the SCSS against pressure. It is also informative to plot different chemical parameters against pressure (or directly against SCSS) to understand what components are influencing the SCSS calculations:" ] }, { "cell_type": "code", "execution_count": 15, "id": "7543076a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, a = plt.subplots(1,2, sharey = True)\n", "a[0].plot(Smythe17_KLB1['SCSS2_ppm_ideal_Smythe2017'],\n", " Results_KLB['Green2025']['All']['P_bar'], 'ok', mfc = 'r')\n", "a[0].plot(Smythe17_KG1['SCSS2_ppm_ideal_Smythe2017'],\n", " Results_KG1['Green2025']['All']['P_bar'], 'ok', mfc = 'b')\n", "\n", "a[1].plot(Results_KLB['Green2025']['All']['FeOt_Liq'],\n", " Results_KLB['Green2025']['All']['P_bar'], 'ok', mfc = 'r', label = 'Lherzolite Melts')\n", "a[1].plot(Results_KG1['Green2025']['All']['FeOt_Liq'],\n", " Results_KG1['Green2025']['All']['P_bar'], 'ok', mfc = 'b', label = 'Pyroxenite Melts')\n", "\n", "a[0].set_ylim([30000,2000])\n", "a[0].set_ylabel('Pressure (bar)')\n", "a[0].set_xlabel('SCSS (Smythe et al. 2017)')\n", "a[1].set_xlabel('FeOt (wt%)')\n", "a[1].legend()" ] }, { "cell_type": "code", "execution_count": null, "id": "fb5453a1", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "e20028bd", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.11.0" } }, "nbformat": 4, "nbformat_minor": 5 }