{ "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 MAGEMinCalc...\n", " 617.4 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-5919-c725-0476-cd0238baa5be 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", " 1146.3 ms ? MAGEMinCalc\n", "[ Info: Precompiling MAGEMinCalc [dd69d18c-a947-4316-a873-d8ea006ff1b2] (cache misses: wrong dep version loaded (4), mismatched flags (2))\n", "┌ Warning: Module PythonCall with build ID fafbfcfd-5919-c725-0476-cd0238baa5be 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 4:\tUsing libMAGEMin.dylib from MAGEMin_jll\n", " From worker 2:\tUsing 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", "Julia Environment Ready. MAGEMinCalc v0.6.1 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(\n", " Model = m, bulk = \"KLB-1\",\n", " Tp_C = 1350.0, P_start_bar = 30000.0, \n", " 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": 8, "id": "2d1a759a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(
,\n", " )" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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d/1MONAgYYqPV26YgrlXkTxgGRK7ilcHjXzi4cunlFEVBRMd26u2wc+cQYGAg+AuGAZGLCG9MK23ggjAAgMjLNr3R1NagbdtEl9wvyY9hQOQCXhs8buDE+kSXM+itu4pivTYGQp7GMCByhZpqLw4ew6n1iazuplFXUeC5IoQYw6/wHdRaMAyIXKG60ruP78A+yM2JuKyrSFEUtOVKpn6BYUDkClVe3gvABReeNQjUCxiiItXbURUeXniPvIJhQOQCosrLLQMXDSAD9a0BY+dk9ba+tJT7HPgBhgGRK3hzJhHg0pYBAETEhVjdTozguEFrxzAgcpKoqwNqqrxbCReHQVAQEBD+awBElJRweYpWjmFA5CxvBwHgstlE6t0pCiIu6yrSVl5CfBtec9CaMQyInCXDRvIubhkAQLjJehnr+JAglz8GyYNhQOQsGcLARRedXS4kGNAaDOptY/F5KG54HJKDV5/ZzZs3Y/jw4UhMTISiKPjggw+szgshsGDBAiQmJiIoKAgDBw7E/v37rcpYLBbMmDEDMTExCAkJwYgRI3Dq1CmrMsXFxcjKyoLRaITRaERWVhZKSkqsypw8eRLDhw9HSEgIYmJiMHPmTFRVSdD8J+kJb08rBaC4oUNfowHCO7X/9bbFggQuT9FqeTUMysvLcd1112HZsmVNnl+yZAlefPFFLFu2DLt27YLJZMLgwYNx8eJFtcysWbOwfv16ZGdnY8uWLSgrK0NmZiZqa2vVMuPHj0deXh5ycnKQk5ODvLw8ZGVlqedra2sxbNgwlJeXY8uWLcjOzsa6deswZ84c9/3w1HrI0DJwQzcRAIS3iba6HRdkaKYk+TpFCCG8XQmgfsBq/fr1GDVqFID6VkFiYiJmzZqFRx99FEB9KyA+Ph7PPvsspkyZArPZjNjYWLzxxhsYN24cAOD06dNISkrCJ598goyMDBw8eBDdunXD9u3b0bdvXwDA9u3bkZaWhkOHDqFLly749NNPkZmZifz8fCQm1n/yyc7OxsSJE1FUVITw8JZNqystLYXRaIT5zM8t/h7ybUIIiJ8OAPDyn1HhzxCF+S6/25o6YN+/v0bDz1cbEICtxWWoq3XN0huVNdV4YssGmM1m/s14mbQdgMePH0dhYSHS09PVYwaDAbfddhu2bt0KANi9ezeqq6utyiQmJiI1NVUts23bNhiNRjUIAKBfv34wGo1WZVJTU9UgAICMjAxYLBbs3r272TpaLBaUlpZafZGfqa2B14MAgLvmfeo0QGhKknpbW10NE2cVtUrShkFhYSEAID4+3up4fHy8eq6wsBB6vR6RkZFXLBMXF2dz/3FxcVZlGj9OZGQk9Hq9WqYpixcvVschjEYjkpKSmi1LrZQM00oBt3UTAUB4O+u/jVh2FbVK0oZBA6XRi1wIYXOsscZlmirvSJnG5s2bB7PZrH7l57u+mU6Sq672dg3quTMMogOtboddOH/Vv0HyPdKGgclkAgCbT+ZFRUXqp3iTyYSqqioUFxdfscyZM2ds7v/s2bNWZRo/TnFxMaqrq21aDJczGAwIDw+3+iI/UyPB4LGbGQLqoI/49ZoDbZUFcW0SvFgjcgdpwyAlJQUmkwkbNmxQj1VVVeGrr75C//79AQC9e/dGQECAVZmCggLs27dPLZOWlgaz2YydO3eqZXbs2AGz2WxVZt++fSgoKFDL5ObmwmAwoHfv3m79Ocm3ierW302kKArCO7S1OhbHC9BaHZ03H7ysrAxHjx5Vbx8/fhx5eXmIiopCu3btMGvWLCxatAidOnVCp06dsGjRIgQHB2P8+PEAAKPRiEmTJmHOnDmIjo5GVFQU5s6dix49euCOO+4AAHTt2hVDhgzB5MmT8dprrwEAHnzwQWRmZqJLly4AgPT0dHTr1g1ZWVl47rnncOHCBcydOxeTJ0/mp326MlnGDNwsLN6Ic5fdDjeXeKsq5CZeDYNvvvkGv/nNb9Tbs2fPBgBMmDABq1evxiOPPIKKigpMnToVxcXF6Nu3L3JzcxEWFqZ+z9KlS6HT6TB27FhUVFTg9ttvx+rVq6G9bLOPtWvXYubMmeqsoxEjRlhd26DVavHxxx9j6tSpGDBgAIKCgjB+/Hg8//zz7v4VkA8TQkgUBu7tww8N00DRaOoX5QOgq7iEqPhYXDhz1q2PS54jzXUGrQGvM/AvorYWIv+gt6tR72wRxM/H3PoQR3f8hLLjv06SKDIl4uDhH526T15nIA9pxwyIpFcryUwiwCPLS4e1sZ6ibazw8h4O5FIMAyJHXbbkiT8Ii7KeYqovuYDgsFAv1YZcjWFA5ChpxgsATzQNgoIAbeCvgaAoCkzcDrPVYBgQOaq2xts18ChFURCaYj3FNFLhkGNrwTAgcpRMYwYeEmaKsrodfP48NNzjoFXgs0jkIFHjh2EQab0ukaa2hlcjtxIMAyJH+WEY6APqoAu1HjSOCQlspjT5EoYBkaP8sJtIURSEtW9jdSysvNxLtSFXYhgQOUDUCaBOpqmlnhvIDYmPsLodYC7hFNNWgGFA5Ig6yWYSeXBST6hRb3VbURTExXGKqa9jGBA5QqpWgWcZAuqgC7ZetTRSy/0NfB3DgMgRNZK1DDxIURSEtLPe+jKEq5j6PIYBkSNk6yby8D7MIXHWW81qKytgjI5qpjT5AoYBkSP8uJsIAEIjbTe3iY2K8HxFyGUYBkSOkG0pCg+vChEYKKBorbdDMXq6EuRSDAMiR8gWBh5+I9YoQHBbk9WxoJLiZkqTL2AYEDlASNdN5PlP5SGmaKvb2ioLImI4buCrGAZEjpBtLwMv9NAER4bYHIuKNHq+IuQSXt0DmchnyTabyAu714aE2n6WNHrocoPa2lpUV/vfciD2CggIsNoP/koYBkSOkK1l4AU6rUBAeBiqSy+qx4JLzW59TCEECgsLUVJS4tbHaU0iIiJgMpmgKFdOaoYBkZ2EEBK2DOo8/pCKoiA4MQ7my8JAV1GB0IhwlJWUuuUxG4IgLi4OwcHBV32D82dCCFy6dAlFRUUAgISEKy81zjAgspcXumRkFRwbAfMh62NRUZFuCYPa2lo1CKKjo6/+DYSgoPrrQYqKihAXF3fFLiMOIBPZywufwq9GeCmggsNt9zIwBrjnM2bDGEFwcLBb7r+1avh9XW2MhWFAZC+OF6iCgm27aUIqK936mOwask9Lf18MAyJ7SdgyQJ136qTTAvoI6+mk+pIL0LqpdUDuwzAgspeX3nhlFZRgvZeBAiAqNsY7lSGHMb6J7CUk7Cby4qB2cIwRjSeURoQE46ynKlBZ5qlHqhfovl3d2rdvj1mzZmHWrFlue4zmsGVAZK86CWcTeTEMgsIMNsdC2a1vIz8/H5MmTUJiYiL0ej2Sk5Px8MMP4/z5896uGgCGAZH9ZGwZeHHF0KBg27eR4Ese/rQuuWPHjqFPnz744Ycf8Pbbb+Po0aP4xz/+gc8//xxpaWm4cOGCt6vIbiIiu8k4ZuDFloFOK6ALDkLNpQr1mLa0FPqgQFRVuHdmka+YNm0a9Ho9cnNz1bn/7dq1Q69evXDNNdfgiSeewPLly71aR7YMiOwl42wiL4aBoigIjI+1ORYVywvDAODChQv47LPPMHXqVDUIGphMJtx///145513vHatSAOGAZG9OGZgIygmwuZYeKDtBWn+6MiRIxBCoGvXrk2e79q1K4qLi3H2rMeG3JvEMCCyl4xjBl5urQQabbfBDOHOZy3S0CLw9sV0DAMie8m4NpG3WwbBtsOPwZfKvVAT+XTs2BGKouDAgQNNnj906BAiIyMRE+PdazMYBkR2ElIOIHu3ToZA20+1uoul0AUEeKE2comOjsbgwYPx6quvoqKiwupcYWEh1q5di3HjxrFlQORzZBxA9vI4hlZjuywFAG6D+Ytly5bBYrEgIyMDmzdvRn5+PnJycjB48GC0adMGCxcu9HYVObWUyG4yhoEEXVeBsVGoKrG+Fjk8JBjn3P7A7rsi2FU6deqEb775BgsWLMC4ceNw/vx5mEwmjBo1CvPnz0dUlPdDk2FAZC8J3nhtSFCnwKhwNN7FIETLzocGycnJWLVq1RXLnDhxwjOVaYLdYXDixAn897//xYkTJ3Dp0iXExsaiV69eSEtLQyCnkpE/kLJl4P06GcJs//6Dqqu8UBNyRIvD4K233sLLL7+MnTt3Ii4uDm3atEFQUBAuXLiAH3/8EYGBgbj//vvx6KOPIjk52Z11JvIuXmfQpMAmZhQZLrpn+0tyvRaFwQ033ACNRoOJEyfi3//+N9q1a2d13mKxYNu2bcjOzkafPn3w6quvYsyYMW6pMJH3ef9TuA0ZWgYG29kwmqoqBIWGoKKM00xl16IwePrppzFs2LBmzxsMBgwcOBADBw7EM888g+PHj7usgkTSkeBTuA0JprvqtLBZowgAwiOMDAMf0KLRnYYgqKmpwZo1a1BYWNhs2ZiYGNx4442uqR2RjGQMAwlaBgBgaGI9otAgjiX6AruG+nU6Hf7whz/AYrG4qz5E8pPkjdeKJOMYhsgwm2MhnFDkE+x+mvr27Yu8vDw3VIVIfkII6VoG9WvbyFEnQ3iIzbHAmhov1ITsZffU0qlTp2L27NnIz89H7969ERJi/eT37NnTZZUjIt9iCLZdfkJfdtELNSF72R0G48aNAwDMnDlTPaYoCoQQUBQFtbUSruhI5CpyfAC3JlGdDEFam2OaigroAw2oqmT3sszsDgPOFCL/JtE7r0qeOumbWJdOURSERYTjfGGRWx6z7tB2t9xvczTX9vPo43mK3WHAC8rIr0k2XgBAqjppNYAuNAQ1jaaShgUHQ45t370nPz8fCxYswKeffopz584hISEBo0aNwpNPPonoaO/vCufw2kQHDhzAyZMnUVVlfbn5iBEjnK4UkbS8u8qwTzBERdiEQVCAbfeRPzl27BjS0tLQuXNnvP3220hJScH+/fvxpz/9CZ9++im2b9/u9cXq7A6DY8eO4a677sLevXvVsQLg1116OGZArZpEn8JVklVJbwxD40vMAmX8vXnQtGnToNfrkZubq+6D3K5dO/Tq1QvXXHMNnnjiCSxfvhzt27fHpEmTcPDgQXz44YcIDw/HvHnzMGPGDADApk2bkJ6ejs8//xy33HILAOCFF17A4sWLsXfvXiQkJDhcR7unlj788MNISUnBmTNnEBwcjP3792Pz5s3o06cPNm3a5HBFiMhRcr3RGsKCbY/58bVJFy5cwGeffYapU6eqQdDAZDLh/vvvxzvvvKN+sH7uuefQs2dP7NmzB/PmzcMf//hHbNiwAQAwcOBAzJo1C1lZWTCbzfjuu+/wxBNPYMWKFU4FAeBAy2Dbtm344osvEBsbC41GA41Gg5tvvhmLFy/GzJkz8e233zpVISKpyfgJV7Iq6YP1NscCyv13eumRI0cghEDXrl2bPN+1a1cUFxfj7NmzAIABAwbgscceAwB07twZX3/9NZYuXYrBgwcDAJ555hls3LgRDz74IPbv34+srCzcddddTtfT7pZBbW0tQkPrN5OIiYnB6dOnAdQPLB8+fNjpChGRb9MH2X7G1FRXwxAc1ERpatzVnpaWZnU+LS0NBw8eVG/r9Xq8+eabWLduHSoqKvDSSy+5pB52h0Fqaiq+//57APVXIy9ZsgRff/01/vrXv6JDhw4uqRSRtGRsGUjWNNDrmx5lDw23XarCH3Ts2BGKouDAgQNNnj906BAiIyMRExPT7H003h9569atAOq7oC5cuOCSetodBn/+859R98sKic888wx++ukn3HLLLfjkk0/w8ssvu6RSRGQHyQJKp61DU9OuQkJsxxL8QXR0NAYPHoxXX30VFRXWK7oWFhZi7dq1GDdunPqGv3279XUT27dvx7XXXqve/vHHH/HHP/4RK1asQL9+/fC73/1OfU92ht1hkJGRgbvvvhsA0KFDBxw4cADnzp1DUVERBg0a5HSFiOQm1xsvAOnCQKNRoI8ItzkepPPf6aXLli2DxWJBRkYGNm/ejPz8fOTk5GDw4MFo06YNFi5cqJb9+uuvsWTJEvzwww945ZVX8O677+Lhhx8GUN9Nn5WVhfT0dPz+97/HqlWrsG/fPrzwwgtO19GpPZDz8/OhKAratm3rdEWIfIJc77vS0hvDUFVitjrmroWsfeGK4E6dOuGbb77BggULMG7cOJw/fx4mkwmjRo3C/Pnzra4xmDNnDnbv3o2nnnoKYWFheOGFF5CRkQEAWLhwIU6cOIGPPvoIQP1spP/3//4fxo4di8GDB+P66693uI52h0FNTQ2eeuopvPzyyygrKwMAhIaGYsaMGZg/fz4CApq4Hp2I3EeylgEABISH2hwz1Pr36qXJyclYtWrVVcuFh4fjnXfeafLck08+iSeffNLq2MiRI12yrYDdYTB9+nSsX78eS5YsUUe9t23bhgULFuDcuXP4xz/+4XSliOQl3xuvjGGgD7FtBwRUVjRRkmRhdxi8/fbbyM7OxtChQ9VjPXv2RLt27XDvvfcyDIg8Tb4sQECIweaY9uLF+nFlCetLDoRBYGAg2rdvb3O8ffv20OttLzYhIvdSIKR7f9UbbAeLFQDBoaG4dLHM8xXyESdOnPDaY9s9m2jatGl4+umnrfqoLBYLFi5ciOnTp7u0ckTUAhJ2EwUYmn5rCQ613QmN5NCilkHDVNIGGzduRNu2bXHdddcBAL777jtUVVXh9ttvd30NiWQi3/uulHsy63RNX3gWHOSuOUXkrBaFgdFotLo9evRoq9tJSUmuqxGRzBQJ17CWsGWg09RB0WohGq1iHBjg1Gx2cqMWPTMtmQ5FRF4iYRgoioIAYziqLhRbHbcdViZZ2D1m4EqbN2/G8OHDkZiYCEVR8MEHH1idnzhxIhRFsfrq18/6AhOLxYIZM2YgJiYGISEhGDFiBE6dOmVVpri4GFlZWTAajTAajcjKykJJSYlVmZMnT2L48OEICQlBTEwMZs6cabNxD5GU5MsCAIA+zHZ8QF/H/U5k1aIwGDJkiLow0pVcvHgRzz77LF555ZUWPXh5eTmuu+46LFu27IqPXVBQoH598sknVudnzZqF9evXIzs7G1u2bEFZWRkyMzOtNtkZP3488vLykJOTg5ycHOTl5SErK0s9X1tbi2HDhqG8vBxbtmxBdnY21q1bhzlz5rTo5yDyKglbBgAQ0EQYBFRXe6Em1BIt6iYaM2YMxo4di7CwMIwYMQJ9+vRBYmIiAgMDUVxcjAMHDmDLli345JNPkJmZieeee65FDz506FCr6xWaYjAYYDKZmjxnNpuxcuVKvPHGG7jjjjsAAG+++SaSkpKwceNGZGRk4ODBg8jJycH27dvRt29fAMCKFSuQlpaGw4cPo0uXLsjNzcWBAweQn5+PxMREAPW7B02cOBELFy5EeLjtOitAfavk8llVpaWlLfq5yYfJ+MYr4QAyAAQE2w4W6ypcf+FZbfZLLr/PK9HeO8ujj+cpLWoZTJo0CceOHcNf/vIXHDp0CFOmTMEtt9yCG2+8ERkZGVixYgXatWuH3bt3Izs726UDyps2bUJcXBw6d+6MyZMno6ioSD23e/duVFdXIz09XT2WmJiI1NRUtSWzbds2GI1GNQgAoF+/fjAajVZlUlNT1SAA6hfks1gs2L17d7N1W7x4sdr1ZDQaOZDuDyQcP5aVLtB2aRpNxSVotF7tnfaawsJCzJgxAx06dIDBYEBSUhKGDx+Ozz//3NtVA2DHRWd6vR7jx4/H+PHjAdR/Kq+oqEB0dLTb1iMaOnQoxowZg+TkZBw/fhx/+ctfMGjQIOzevRsGgwGFhYXQ6/WIjIy0+r74+HgUFhYCqH8C4uLibO47Li7Oqkx8fLzV+cjISOj1erVMU+bNm4fZs2ert0tLSxkI5HkuWL7YHQICbd9eFEVBUEgIykv9a+ezEydOYMCAAYiIiMCSJUvQs2dPVFdX47PPPsO0adNw6NAhb1fR8QFko9EIk8nk1oXpxo0bh2HDhiE1NRXDhw/Hp59+ih9++AEff/zxFb9PCGG1GUTjjSEcLdOYwWBAeHi41ReRx8nYdQUgQN/0Z80gP7zwbOrUqVAUBTt37sQ999yDzp07o3v37pg9e7a6f4GiKFi+fDmGDh2KoKAgpKSk4N1331Xv41//+hdCQ0Nx5MgR9diMGTPQuXNnlJeXO11Hn2qvJSQkIDk5Wf1lmEwmVFVVobjYevpaUVGR+knfZDLhzJkzNvd19uxZqzKNWwDFxcWorq62aTGQv5Own0jaMGj6dxVo8K9lay5cuICcnBxMmzYNISG2QRgREaH++y9/+QtGjx6N7777Dr/97W9x3333qVte/u53v8Odd96J+++/HzU1NcjJycFrr72GtWvXNnm/9vKpMDh//jzy8/ORkJAAAOjduzcCAgKwYcMGtUxBQQH27duH/v37A6jfP9RsNmPnzp1qmR07dsBsNluV2bdvHwoKCtQyubm5MBgM6N27tyd+NCLHSTqArG2mEzpQ518Xnh09ehRCCKvdypozZswY/M///A86d+6Mp59+Gn369MHf//539fxrr72GgoICzJw5ExMnTsT8+fNx4403uqSeXn1WysrKcPToUfX28ePHkZeXh6ioKERFRWHBggUYPXo0EhIScOLECTz++OOIiYnBXXfdBaC+q2rSpEmYM2cOoqOjERUVhblz56JHjx7q7KKuXbtiyJAhmDx5Ml577TUAwIMPPojMzEx06dIFAJCeno5u3bohKysLzz33HC5cuIC5c+di8uTJ7PohaxI2DGRtGWiVpq9C1vvZAHLjDe+vpGFbgMtv5+XlqbcjIyOxcuVKZGRkoH///njsscdcVk+vPivffPMNevXqhV69egEAZs+ejV69euHJJ5+EVqvF3r17MXLkSHTu3BkTJkxA586dsW3bNoSF/bqx9tKlSzFq1CiMHTsWAwYMQHBwMD766CNotb+umrh27Vr06NED6enpSE9PR8+ePfHGG2+o57VaLT7++GMEBgZiwIABGDt2LEaNGoXnn3/ec78M8hESpoGkLQNFURAQZrvJjV7SAW936dSpExRFUbt77NU4RDZv3gytVovTp0+7ZKxAfRwh7P9YUVJSgvfeew8//vgj/vSnPyEqKgp79uxBfHw82rRp47LK+ZrS0lIYjUaYz/zMFkUrJaqrIH7+wdvVsHb6FETRqauX84If/vsjLv1cYHWsPDYO3xz9CQBQWVONJ7ZsgNlsvurfTGVlJY4fP46UlBQEBv56DYMvXGcwdOhQ7N27F4cPH7bp3y8pKUFERAQURcEf/vAHvPrqq+q5tLQ09OrVSz22detWDBw4EP/5z3/w2GOP4frrr8eaNWuu+NjN/d4as7ub6Pvvv8cdd9wBo9GIEydOYPLkyYiKisL69evx008/4V//+pe9d0lEThCStgwAQBcSZHusyv+uQn711VfRv39/3HTTTfjrX/+Knj17oqamBhs2bMDy5cvVVsO7776LPn364Oabb8batWuxc+dOrFy5EkD9Cg9ZWVmYMWMGhg4dinbt2qFPnz7IzMzEmDFjnK6j3WEwe/ZsTJw4EUuWLLHqrhk6dKh6DQJRq8VVS+0S0MT2lzpLpUsfwxeuCE5JScGePXuwcOFCzJkzBwUFBYiNjUXv3r2xfPlytdxTTz2F7OxsTJ06FSaTCWvXrkW3bt0AAA8//DBCQkKwaNEiAED37t3x7LPP4qGHHkL//v2d7pWxOwx27dqlDsRerk2bNle8QIuI3ETiPnhdoO00Uq2f7oWckJCAZcuWXXEttsTEROTm5jZ57vXXX7c5NnPmTMycOdMl9bN7ADkwMLDJNXgOHz6M2NhYl1SKSFpsGdhFZ2j6otTAkGAP14Suxu4wGDlyJP7617+i+pfVBxVFwcmTJ/HYY4/ZbHpDRB4g5F0WWqe33QsZAAKDGQaysTsMnn/+eZw9exZxcXGoqKjAbbfdho4dOyIsLAwLFy50Rx2J6ErqJG4ZNBcGgdzmpjEhBEaNGuW1x7d7zCA8PBxbtmzBF198gT179qCurg433HCDepEXUasmZTeRxGMGAU3/vvTc/lI6dj0jNTU1CAwMRF5eHgYNGoRBgwa5q15EcpLxQ7jEYdDcxcZ6XdMtBvIeu7qJdDodkpOTrXYRI/IrMrYMZO4m0jRdN73Gv5ak8AV2PyN//vOfMW/ePFy4cMEd9SGSnIxhIG/LQKNVoNHbTi/VSTwDyl/Z3XH38ssv4+jRo0hMTERycrLNpdV79uxxWeWIpCNhFsjcTQQAupBgVFVVWR0LYO+CdOwOA2+OdhNRE+rkfmPVhQShqrjE+hjDQDp2h8H8+fPdUQ8icpTEYwYAoAtqYkmKmqomSjqmfO6DLruvlgh5/p8efTxP4SgOkR3qlxOWrK9I4ovOAEDbxJIUmkrXrk/kCwoLC/Hwww+jY8eOCAwMRHx8PG6++Wb84x//wKVLl5r9vk2bNkFRFJSUlLi1fna3DDQazRU3aeBMI2r1FEWaJSCEEPK3DJq4wEyxWLxQE+85duwYBgwYgIiICCxatAg9evRATU0NfvjhB7z++utITEzEiBEjbL6vYaUHT7A7DNavX291u7q6Gt9++y3WrFmDp556ymUVI5KWokh2vYFUlbGhbWJ9IkVRYAgOQmWpfyxnPXXqVOh0OnzzzTdWk2569OiB0aNHW+2Gtnz5cnz66afYuHEj7rnnHnVbgMjISADAhAkTsHr1apfX0e4wGDlypM2xe+65B927d8c777yDSZMmuaRiRPKSqJtI7hwA0PySFIbAQKCJRS9bm/PnzyM3NxeLFi1qduP6y3tb5s+fj8WLF2Pp0qXQarUYOXIkRo8ejcOHDyM8PBxBQbZ7RLiCy8YM+vbti40bN7rq7ojkJdWFZ/KngbaZpSf0BtuxhNbo6NGjEEKoe643iImJQWhoKEJDQ/Hoo4+qx8ePH48HHngAHTp0QHJyMqKiogAAcXFxMJlMMBqNbqmnS8KgoqICf//739G2bVtX3B2R3JgFdtHpmv6FGfwkDBo0HmvduXMn8vLy0L17d1guG0Pp06ePp6sGwIFuosjISKsfSgiBixcvIjg4GG+++aZLK0ckJ5nSQH7agKY/cwZo/WN9oo4dO0JRFBw6dMjqeIcOHQDAptunua4kd7M7DJYuXWoVBhqNBrGxsejbt686wEHUqsnUTSTJrKYr0TazPlFAc6vYtTLR0dEYPHgwli1bhhkzZtj9Zq//ZTkPd8/UtDsMJk6c6IZqEPkQmcLAB/qJmmsA6BT/CAMAePXVVzFgwAD06dMHCxYsQM+ePaHRaLBr1y4cOnQIvXv3bvZ7k5OToSgK/u///g933nkngoKCEBoa6vI62h0GOTk5CA0Nxc033wwAeOWVV7BixQp069YNr7zyClsH5AcYBvZotmWguKbuvnBF8DXXXINvv/0WixYtwrx583Dq1CkYDAZ069YNc+fOxdSpU5v93jZt2uCpp57CY489ht///vf43e9+55appYoQ9rUze/TogWeffRZ33nkn9u7diz59+mDOnDn44osv0LVrV6xatcrllfQVpaWlMBqNMJ/5GeHh4d6uDrlJXcExwNL8FaOeJKqqgQO7vV2Nq9q7fhdqG11oVhpvwrYDP+CJLRtgNpuv+jdTWVmJ48ePIyUlBYGBtktcUNNa+nuzu2Vw/PhxdOvWDQCwbt06DB8+HIsWLcKePXtw5513Ol5jIl/BbiK7aYODbMJAJ/HS2/7I7k47vV6vrqOxceNGpKenAwCioqJQ6gcXkBBJFQa+kQXQNrEkhbamxgs1oebY3TK4+eabMXv2bAwYMAA7d+7EO++8AwD44YcfeJ0B+QmZwsA3Pl03tXKpxoPr7tDV2d0yWLZsGXQ6Hd577z0sX74cbdq0AQB8+umnGDJkiMsrSCQdmVoGPkLbxAVmmmrXLWNNzrO7ZdCuXTv83//9n83xpUuXuqRCRNKTKQx84DoDoJllrP1s5VLZ2d0y2LNnD/bu3ave/s9//oNRo0bh8ccft9najqg1UmSaH+8rYaC3/dypANAF2K5oSt5h96t6ypQp+OGHHwDUr9F97733Ijg4GO+++y4eeeQRl1eQiJqn+HAYAECAwXZgmbzD7jD44YcfcP311wMA3n33Xdx666146623sHr1aqxbt87V9SOSD1sGdmt+5VK2DGRh96taCIG6X+YHb9y4Ub22ICkpCefOnXNt7YhkxDEDu2l0zSxWp2cYyMLuAeQ+ffrgmWeewR133IGvvvoKy5cvB1B/MVp8fLzLK0gkHYaB3bTNLGOt0zkfBrtH3eP0fdij9wfvefTxPMXulsFLL72EPXv2YPr06XjiiSfQsWNHAMB7772H/v37u7yCRPKRKAx85KozbTMrlOr8ZBnroqIiTJkyBe3atYPBYIDJZEJGRga2bdvm7aqp7G4Z9OzZ02o2UYPnnnsOWj95YsnPydQy8JElHbTNvNP4y54Go0ePRnV1NdasWYMOHTrgzJkz+Pzzz3HhwgVvV01ldxgAQElJCd577z38+OOP+NOf/oSoqCgcOHAA8fHx6kVoRK2WTGHgK91Emma6iZo53pqUlJRgy5Yt2LRpE2677TYA9ctS33TTTWoZRVHw6quv4sMPP8SmTZtgMpmwZMkSjBkzxmP1tLub6Pvvv0enTp3w7LPP4vnnn0dJSQkAYP369Zg3b56r60ckH84mspummWWs/SAL1H2OP/jgA6vtLRv7y1/+gtGjR+O7777Db3/7W9x33304ePCgx+pp96t69uzZ+P3vf48jR45YLYc6dOhQbN682aWVI5KSTG9gPrI2UXNv+g51TfgYnU6H1atXY82aNYiIiMCAAQPw+OOP4/vvv7cqN2bMGPzP//wPOnfujKeffhp9+vTB3//+d4/V0+4w2LVrF6ZMmWJzvE2bNigsLHRJpYjkJlHLoM5XWgaARmf71q/1kfo7a/To0Th9+jQ+/PBDZGRkYNOmTbjhhhusNqlJS0uz+p60tDS5WwaBgYFNLlV9+PBhxMbGuqRSRFLjmIFDNE1srKLxkZaNKwQGBmLw4MF48sknsXXrVkycOBHz58+/4vcoHnyt2R0GI0eOxF//+ldU/7L8rKIoOHnyJB577DGMHj3a5RUkko5EWeAr3URA04vVaWt9p/6u1q1bN5SXl6u3t2/fbnV++/btuPbaaz1WH7u77J5//nnceeediIuLQ0VFBW677TYUFhYiLS0NCxcudEcdieQi0wCyj0wtBZpZxrq21gs18azz589jzJgxeOCBB9CzZ0+EhYXhm2++wZIlSzBy5Ei13Lvvvos+ffrg5ptvxtq1a7Fz506sXLnSY/W0OwzCw8OxZcsWfPHFF9izZw/q6upwww034I477nBH/Yjkw24ih2j0TYWB8xvcyH5FcGhoKPr27YulS5fixx9/RHV1NZKSkjB58mQ8/vjjarmnnnoK2dnZmDp1KkwmE9auXatuMewJdoVBTU0NAgMDkZeXh0GDBmHQoEHuqheRvCQKA+FL3URNtAwUP9j60mAwYPHixVi8ePEVyyUmJiI3N9dDtbJlV3tXp9MhOTkZtX7QtCNqnjxh4Estg6aWsebWl/Kwu/Pzz3/+M+bNmyfVZdREHqXhmIEjNE0tY+0HLQNfYfeYwcsvv4yjR48iMTERycnJCAkJsTq/Z88el1WOiK7Ch7qJmgoDT06dlJmQoIVndxiMHDmSTyD5N5le/z7UMtDq/GNROl9ldxgsWLDADdUg8iEyTS31qZaBRL83stHiZ+fSpUuYNm0a2rRpg7i4OIwfP547m5F/kqhhwJYBuUqLw2D+/PlYvXo1hg0bhnvvvRcbNmzAH/7wB3fWjUhOUrUMvN/X3FIarUwpSo21uJvo/fffx8qVK3HvvfcCAH77299iwIABqK2t5aY25GckelPzpW4if1iv2oe1+CNOfn4+brnlFvX2TTfdBJ1Oh9OnT7ulYkTykuhNzXcaBtDINCWXbLS4ZVBbWwt9o8vJdTodajhPmMh7fOkN1k0Z+uJvhrnnjpsx+8uPXXp/iqJg/fr1GDVqlEvv114tDgMhBCZOnAiDwaAeq6ysxEMPPWR1rcH777/v2hoSUfPYResTJk6ciJKSEnzwwQc25woKChAZGen5SjXS4jCYMGGCzbHf/va3Lq0MEdlJwzDwdSaTydtVAGBHGKxatcqd9SAiRzAMfF7jbqKdO3diypQpOHjwIFJTU/HEE0/g7rvvxrfffovrr7/ebfXwhy1IiVovdhO1KuXl5cjMzMSgQYPw5ptv4vjx43j44Yc98tgMAyIfpmg0vjShiK5i7dq1qK2txeuvv47g4GB0794dp06d8sg1XT40FYGIbLCbqFU5ePAgrrvuOgQHB6vH0tLSPPLYDAMiX8YwaFW8uXopw4DIl/Gq3lalW7du+O6771BRUaEe2759u0cem2FA5MtkWieJrshsNiMvL8/q6+TJk1Zlxo8fD41Gg0mTJuHAgQP45JNP8Pzzz3ukfhxAJvJl7CZy+RXB7rJp0yb06tXL6ljj67dCQ0Px0Ucf4aGHHkKvXr3QrVs3PPvssxg9erTb6+fVjxWLFy/GjTfeiLCwMMTFxWHUqFE4fPiwVRkhBBYsWIDExEQEBQVh4MCB2L9/v1UZi8WCGTNmICYmBiEhIRgxYgROnTplVaa4uBhZWVkwGo0wGo3IyspCSUmJVZmTJ09i+PDhCAkJQUxMDGbOnImqqiq3/OxELuFL3UR+PO1p9erVEELYfDUcv3wpin79+iEvLw8WiwXffvstbrjhBo/U0ath8NVXX2HatGnYvn07NmzYgJqaGqSnp6O8vFwts2TJErz44otYtmwZdu3aBZPJhMGDB+PixYtqmVmzZmH9+vXIzs7Gli1bUFZWhszMTNTW1qplxo8fj7y8POTk5CAnJwd5eXnIyspSz9fW1mLYsGEoLy/Hli1bkJ2djXXr1mHOnDme+WUQOYLdROQiXu0mysnJsbq9atUqxMXFYffu3bj11lshhMBLL72kXoEHAGvWrEF8fDzeeustTJkyBWazGStXrsQbb7yBO+64AwDw5ptvIikpCRs3bkRGRgYOHjyInJwcbN++HX379gUArFixAmlpaTh8+DC6dOmC3NxcHDhwAPn5+UhMTAQAvPDCC5g4cSIWLlyI8PBwm/pbLBZYLBb1dmlpqVt+T0TN8qWF6khqUr2SzGYzACAqKgoAcPz4cRQWFiI9PV0tYzAYcNttt2Hr1q0AgN27d6O6utqqTGJiIlJTU9Uy27Ztg9FoVIMAqG+KGY1GqzKpqalqEABARkYGLBYLdu/e3WR9Fy9erHY7GY1GJCUlueLXQNRigmHQ6rVv3x5CCLcuRQFIFAZCCMyePRs333wzUlNTAQCFhYUAgPj4eKuy8fHx6rnCwkLo9XqbVf8al4mLi7N5zLi4OKsyjR8nMjISer1eLdPYvHnzYDab1a/8/Hx7f2wiJ/nQmAFJTZrZRNOnT8f333+PLVu22JxTFOsXvBDC5lhjjcs0Vd6RMpczGAxWS3oTeZwvDSC7SJ0P7fssg5b+vqQIgxkzZuDDDz/E5s2b0bZtW/V4w9KuhYWFSEhIUI8XFRWpn+JNJhOqqqpQXFxs1TooKipC//791TJnzpyxedyzZ89a3c+OHTuszhcXF6O6utqmxUAkD18KA+emE+n1emg0Gpw+fRqxsbHQ6/VX/VDoz4QQqKqqwtmzZ6HRaGw2J2vMq2EghMCMGTOwfv16bNq0CSkpKVbnU1JSYDKZsGHDBnV+blVVFb766is8++yzAIDevXsjICAAGzZswNixYwHUbxaxb98+LFmyBED92h5msxk7d+7ETTfdBADYsWMHzGazGhhpaWlYuHAhCgoK1ODJzc2FwWBA79693f/LIHKEL7UMnKyqRqNBSkoKCgoKuN2uHYKDg9GuXburbjvq1TCYNm0a3nrrLfznP/9BWFiY2jdvNBoRFBQERVEwa9YsLFq0CJ06dUKnTp2waNEiBAcHY/z48WrZSZMmYc6cOYiOjkZUVBTmzp2LHj16qLOLunbtiiFDhmDy5Ml47bXXAAAPPvggMjMz0aVLFwBAeno6unXrhqysLDz33HO4cOEC5s6di8mTJzc5k4hICn42tVSv16Ndu3aoqamxmjpOTdNqtdDpdC1qQXk1DJYvXw4AGDhwoNXxVatWYeLEiQCARx55BBUVFZg6dSqKi4vRt29f5ObmIiwsTC2/dOlS6HQ6jB07FhUVFbj99tuxevVqaC9b633t2rWYOXOmOutoxIgRWLZsmXpeq9Xi448/xtSpUzFgwAAEBQVh/PjxHrsUnIhaRlEUBAQEICAgwNtVaVUU4c1l8lqZ0tJSGI1GmM/8zNZEKybqBMTJ/Vcv6AGitg7Yu9Pb1WiRsnKBox99bX2suhoDP/kQZrOZfzNe5l9tTKLWxoeGDEhuDAMiX+ZDYcA+CLkxDIh8mg+lgU/V1f8wDIh8mKIoXMaaXIJhQOTruD4RuQBfRUS+ji0DcgGGAZGvYxiQCzAMiHydln/G5Dy+ioh8HVsG5AIMAyJf52frE5F78FVE5Os4m4hcgK8iIl/HMCAX4KuIyNf5ShjwAmSp+ciriIiaxQFkcgGGAZGP49aP5AoMAyJfx9lE5AJ8FRH5OoYBuQBfRUS+zlcGkLmhgdR85FVERM3ScMyAnMcwIPJ17CYiF+CriMhesn0Q95HZREK6XxxdjmFA5Otqa71dgxZROGQgNYYBkZ0URZGra6a2xts1aJk6poHMJHpFE/kQiWbwiBrfCAOlqsrbVaArkOcVTeRLFImWgKiu9HYNWkQxl3i7CnQFDAMiR8i0u1hlhbdrcFUCWoaB5CR6RRP5EEkWhxNC+EYY1CpQ6mqgSNS9Rtb4zBA5QpZuojoBQP6B2brKaiiKAq1B7+2qUDMYBkQOkOYTro/MJBIXywAAGr3ByzWh5kjyiibyMZJ0E/nKNQZ1Fy4AADT6AC/XhJrDMCByhCQtA8UHppUKoYG4VA4A0DIMpCXHK5rI18hy0Vm1/HP3hfj1d6XR6bxYE7oSSV7RRD5GkpaBL4RBneXX1otGpim5ZIXPDJEjJJlNJHwgDET5r1NfNTo5fm9ki2FA5AhZ9hCwyH/1sSi9qP5bK8vvjWwwDIgcIUnLAFVyh4EQQF3xBfW2wm4iafGZIXKEBJ9whRDShwGgBUSdekvjI3sv+COGAZEjZJhNJIT0+wrXNboMQoIMpWZI8Iom8kEyhEFt3dXLeJmwWF8HofGBpTP8lQSvaCIfJEMYNP7YLSFRfsnqtsLtzqQlwSuayAdJ0N+h+MBSFHUXL1rdZstAXgwDIodI8Kcj+VIUQgiIkhKrY0qd/F1b/kqCVzSRD/J+w8AHViwNsJpJBAAaMAxkxTAgcoCiKN4fN6ip9u7jX4Vo4n1fw5aBtBgGRI7y8jLWsi9FUVdl23JRhPzjHP6KYUDkKG9fQFUtecug0mJzjC0DeTEMiBzl7W4iyVsGouyS7UHpxzn8F8OAyFHeXsa62vaTt0xEqdnmWH03kQyj79QYw4DIUV7sJpJ9XSIBBaLCtmWgKAo0AdzgRkYMAyJHebObSEDydYmaf8PXBHDrSxkxDIgc5c0wkHwgtq6m+aDi1pdyYhgQOUjx5phBU5P4JSKqmx8oVnR825ERnxUiR3lzaqnsi9RVNj/TSdGyZSAjhgGRw7wXBkqN3C2DuktNTCv9BfdBlhPDgMhR3uwmkrxlIBqtVno5jZZhICOGAZGjvNlNJPHFW0IAoqys2fMKw0BKDAMiR3lzNpHMy1crWuAK+xYoEuwFQbYYBkSO8mbLQOIVS0XdlX8v7CaSE8OAyFHevAJZ5m6iK1xjALBlICuGAZGjvNpNJHHLoOrKdVO8vdorNYlhQOQodhM1SViuvJqqhi0DKTEMiBzlzTCQeC8DUVFxxfNsGMiJYUDkMG+2DOTdy+BK00oBQOES1lJiGBA5yktjBkJA2m4iAUCUXyUMmAVSYhgQOcpbb2pSr1iqverS2pxNJCevhsHixYtx4403IiwsDHFxcRg1ahQOHz5sVWbixIlQFMXqq1+/flZlLBYLZsyYgZiYGISEhGDEiBE4deqUVZni4mJkZWXBaDTCaDQiKysLJSUlVmVOnjyJ4cOHIyQkBDExMZg5cyaqquRtjpOXeesjrsT7GAhx9bcURoGcvBoGX331FaZNm4bt27djw4YNqKmpQXp6OsrLy63KDRkyBAUFBerXJ598YnV+1qxZWL9+PbKzs7FlyxaUlZUhMzMTtbW/rt8yfvx45OXlIScnBzk5OcjLy0NWVpZ6vra2FsOGDUN5eTm2bNmC7OxsrFu3DnPmzHHvL4F8l7emlkq8fLWovXrd2E0kJ6+uJZuTk2N1e9WqVYiLi8Pu3btx6623qscNBgNMJlOT92E2m7Fy5Uq88cYbuOOOOwAAb775JpKSkrBx40ZkZGTg4MGDyMnJwfbt29G3b18AwIoVK5CWlobDhw+jS5cuyM3NxYEDB5Cfn4/ExEQAwAsvvICJEydi4cKFCA8Pd8evgMh+dRK3DFqwmqpyhaUqyHukGjMwm+s30I6KirI6vmnTJsTFxaFz586YPHkyioqK1HO7d+9GdXU10tPT1WOJiYlITU3F1q1bAQDbtm2D0WhUgwAA+vXrB6PRaFUmNTVVDQIAyMjIgMViwe7du5usr8ViQWlpqdUX+RFvfcSVeczgKhecAewmkpU0YSCEwOzZs3HzzTcjNTVVPT506FCsXbsWX3zxBV544QXs2rULgwYNgsViAQAUFhZCr9cjMjLS6v7i4+NRWFiolomLi7N5zLi4OKsy8fHxVucjIyOh1+vVMo0tXrxYHYMwGo1ISkpy/BdAPsg7b2uKxMtXi0rLVcuwZSAnabYcmj59Or7//nts2bLF6vi4cePUf6empqJPnz5ITk7Gxx9/jLvvvrvZ+xNCWF323tQl8I6Uudy8efMwe/Zs9XZpaSkDwZ94a8ygVuYwqLxqGbYM5CRFy2DGjBn48MMP8eWXX6Jt27ZXLJuQkIDk5GQcOXIEAGAymVBVVYXi4mKrckVFReonfZPJhDNnztjc19mzZ63KNG4BFBcXo7q62qbF0MBgMCA8PNzqi/wIp5baEOXN73DWgC0DOXk1DIQQmD59Ot5//3188cUXSElJuer3nD9/Hvn5+UhISAAA9O7dGwEBAdiwYYNapqCgAPv27UP//v0BAGlpaTCbzdi5c6daZseOHTCbzVZl9u3bh4KCArVMbm4uDAYDevfu7ZKfl1oZb40Z1Ep8wdmlK19wBkDqMPNnXu0mmjZtGt566y385z//QVhYmPrJ3Gg0IigoCGVlZViwYAFGjx6NhIQEnDhxAo8//jhiYmJw1113qWUnTZqEOXPmIDo6GlFRUZg7dy569Oihzi7q2rUrhgwZgsmTJ+O1114DADz44IPIzMxEly5dAADp6eno1q0bsrKy8Nxzz+HChQuYO3cuJk+ezE/81AwOIFvTtOgaCHYTycmrLYPly5fDbDZj4MCBSEhIUL/eeecdAIBWq8XevXsxcuRIdO7cGRMmTEDnzp2xbds2hIWFqfezdOlSjBo1CmPHjsWAAQMQHByMjz76CNrLNtFYu3YtevTogfT0dKSnp6Nnz55444031PNarRYff/wxAgMDMWDAAIwdOxajRo3C888/77lfCPkYL72tybrLWQsuOAMADWQNM/+mCCHx5Yw+prS0FEajEeYzP7M14QeEEBA/7ff84576CThXcPWCHlZXq0PVt99ftVyVIQTH9ucDAMqqqzHwkw9hNpv5N+NlUgwgE/kir23SIukuZy25+ri+ID9/yohhQOQMb0wvlTUMqls25VXD2URSYhgQOcMbrQNZxwxauuGOtAPg/o1hQOQUL4SBrFNLr7LdZQOF3URSYhgQOcMrLQNJw6AFVx8DgCLxqqv+jGFA5AwPh4EQkHY5CnHpynsfq9hNJCWGAZFTPNwykLSLRQgBUXH1pSgAQOF1BlJiGBA5w9PdRJKGARQt0MLVVJXL/kvyYBgQOcPjYSDrp2r73koUDd96ZMNnhMgZnv6AK2nLwN6MUrR865ENnxEip3j4T0jSwVdh51acymXrhpEcGAZEzvB0y0DSMEAL9j6+HFsG8uEzQuQMD48ZKHZ+AvcUYed0V8Vbu8RRs/iMEDnF0wPIcl5jgCr7lshgy0A+fEaInOHp2USSdhOJqpYtRdGAs4nkw2eEyCkMA6DlS1E0YBjIh88IkTPYMgAACIvFrvIMA/nwGSFygsc3uJF1XaKKFq5L1MBbGwNRsxgGRE7xdMtAvjAQAkA1xwx8HZ8RImd4/DoD+cLAobcRvvNIh08JkVM8vIS1jN1EDlwzwOsM5MNnhMiXSNgycGTtPHYTyYfPCJEzPD6ALN/+xw6FAQeQpcMwIHIGZxMBtY6kgeurQc5hGBA5hWEg7FykDmDLQEYMAyJneHw2kXzdRKiptv97GAbSYRgQOYUtA1FlfxiwZSAfhgGRMzz4niaEkHMA2c5F6gBA0TAMZMMwIHKKp5ewlnA/A0fCgCPI0mEYEDnDk90dsm5sU2nfInUAOJtIQgwDIqfwXU1Y7Fu+GuCYgYwYBkRO8eCndQm7iIQAZxO1EgwDImd48k1NwjBwZF0igFkgI4YBkVM8GQYSbmwjHAwDF1eDnMcwIHKKf7cMHK4SmwbSYRgQOcOT72kyziZysLHCKJAPw4DIKf7dTSQcDSimgXQYBkTO8OCbmiJjN5EjK5YC7CaSEMOAyFfUydcycHStJEaBfBgGRM7w6BXIEoZBDcOgtWAYEPkKGccMHLngjKTEMCByip9PLXVg+WoAbBpIiGFA5Cvq5NvLANWOLanNtYnkwzAgcooH39QcnbnjRo7sZQCwYSAjhgGRMzy6NpF8YYAqB5avBiA8ucAftQjDgMgpHnxTk2w2kRACwuJYGLBlIB+GAZEzPNgyELK1DBSNw+MYHDKQD8OAyCmevM5AtgFkZ94+mAayYRgQ+QrpBpAdf0OXcWkNf8cwIHKGR69AlqtlIAQ/3bcmDAMiXyFZGDgzds4xA/kwDIic4cdrEzm8fDVJiWFA5Ctkaxk4M4bBMQPpMAyInOHJ9zTJwkA401JhN5F0GAZEzvDkm5qDewe4jRP1YRbIh2FA5BT/HTNwbqoru4lkwzAg8gFCCPm6iRxcsRQAFLYNpMMwIHKGx97TJPwk7Uy3FQeQpcMwIHKKh9JAwvdOUe3ELmdsGEiHYUDkCyQMAzgRBswC+TAMiJzhqYvOJOxWcXRjm/pvlu/n8XcMAyKfIN+bpzNhwJaBfBgGRE7xzzEDIYTDu5wB0v04BIYBkXMUD72tybixjRNdPVzCWj4MAyKn+OmYgbPLV3sqRKnFvBoGy5cvR8+ePREeHo7w8HCkpaXh008/Vc8LIbBgwQIkJiYiKCgIAwcOxP79+63uw2KxYMaMGYiJiUFISAhGjBiBU6dOWZUpLi5GVlYWjEYjjEYjsrKyUFJSYlXm5MmTGD58OEJCQhATE4OZM2eiypkBMiJXki0MnH3r4F4I0vFqGLRt2xZ/+9vf8M033+Cbb77BoEGDMHLkSPUNf8mSJXjxxRexbNky7Nq1CyaTCYMHD8bFixfV+5g1axbWr1+P7OxsbNmyBWVlZcjMzETtZRfEjB8/Hnl5ecjJyUFOTg7y8vKQlZWlnq+trcWwYcNQXl6OLVu2IDs7G+vWrcOcOXM898sg3+THs4mcoXDUQDqKEHK9yqKiovDcc8/hgQceQGJiImbNmoVHH30UQH0rID4+Hs8++yymTJkCs9mM2NhYvPHGGxg3bhwA4PTp00hKSsInn3yCjIwMHDx4EN26dcP27dvRt29fAMD27duRlpaGQ4cOoUuXLvj000+RmZmJ/Px8JCYmAgCys7MxceJEFBUVITw8vEV1Ly0thdFohPnMzy3+HvJtoq4W4uRB9z9ORQVw+Du3P05L1dXpULXne4e/32IIw/H9P6GsuhoDP/kQZrOZfzNepvN2BRrU1tbi3XffRXl5OdLS0nD8+HEUFhYiPT1dLWMwGHDbbbdh69atmDJlCnbv3o3q6mqrMomJiUhNTcXWrVuRkZGBbdu2wWg0qkEAAP369YPRaMTWrVvRpUsXbNu2DampqWoQAEBGRgYsFgt2796N3/zmN03W2WKxwGL5dUaF2WwGAJRe1nKh1k3U1UKUlbv/gcrLIS5Vuv9xWqiuTocqi+PdqFWaKpRVV6P8lwvXJPtM6pe8HgZ79+5FWloaKisrERoaivXr16Nbt27YunUrACA+Pt6qfHx8PH766ScAQGFhIfR6PSIjI23KFBYWqmXi4uJsHjcuLs6qTOPHiYyMhF6vV8s0ZfHixXjqqadsjid1vPZqPzYRXeb8+fMwGo3eroZf83oYdOnSBXl5eSgpKcG6deswYcIEfPXVV+p5pVGfrBDC5lhjjcs0Vd6RMo3NmzcPs2fPVm+XlJQgOTkZJ0+e5AtbIqWlpUhKSkJ+fj67IiRjNpvRrl07REVFebsqfs/rYaDX69GxY0cAQJ8+fbBr1y787//+rzpOUFhYiISEBLV8UVGR+ineZDKhqqoKxcXFVq2DoqIi9O/fXy1z5swZm8c9e/as1f3s2LHD6nxxcTGqq6ttWgyXMxgMMBgMNseNRiPfdCTUMGuN5KPRcJa7t0n3DAghYLFYkJKSApPJhA0bNqjnqqqq8NVXX6lv9L1790ZAQIBVmYKCAuzbt08tk5aWBrPZjJ07d6plduzYAbPZbFVm3759KCgoUMvk5ubCYDCgd+/ebv15iYikILxo3rx5YvPmzeL48ePi+++/F48//rjQaDQiNzdXCCHE3/72N2E0GsX7778v9u7dK+677z6RkJAgSktL1ft46KGHRNu2bcXGjRvFnj17xKBBg8R1110nampq1DJDhgwRPXv2FNu2bRPbtm0TPXr0EJmZmer5mpoakZqaKm6//XaxZ88esXHjRtG2bVsxffp0u34es9ksAAiz2ezkb4Zcic+LvPjcyMOrYfDAAw+I5ORkodfrRWxsrLj99tvVIBBCiLq6OjF//nxhMpmEwWAQt956q9i7d6/VfVRUVIjp06eLqKgoERQUJDIzM8XJkyetypw/f17cf//9IiwsTISFhYn7779fFBcXW5X56aefxLBhw0RQUJCIiooS06dPF5WVlXb9PJWVlWL+/Pl2fx+5F58XefG5kYd01xkQEZHnSTdmQEREnscwICIihgERETEMiIgIDAOXefXVV5GSkoLAwED07t0b//3vf71dJb+yYMECKIpi9WUymdTzogXLoZNrbN68GcOHD0diYiIURcEHH3xgdb4lz0VLlqYn12IYuMA777yDWbNm4YknnsC3336LW265BUOHDsXJkye9XTW/0r17dxQUFKhfe/fuVc+1ZDl0co3y8nJcd911WLZsWZPnXbU0PbmYd2e2tg433XSTeOihh6yOXXvtteKxxx7zUo38z/z588V1113X5Lm6ujphMpnE3/72N/VYZWWlMBqN4h//+IeHauifAIj169ert1vyXJSUlIiAgACRnZ2tlvn555+FRqMROTk5Hqu7v2HLwElVVVXYvXu31TLaAJCenq6uvEqeceTIESQmJiIlJQX33nsvjh07BgBXXQ6dPKclz8XVlqYn92AYOOncuXOora1tcqntKy1/Ta7Vt29f/Otf/8Jnn32GFStWoLCwEP3798f58+fV54HPkfe15LloydL05HpeX7W0tXBkqW1ynaFDh6r/7tGjB9LS0nDNNddgzZo16NevHwA+RzJxxdL05FpsGTgpJiYGWq3W5hPL5Uttk+eFhISgR48eOHLkiDqriM+R97Xkubh8afrmypDrMQycpNfr0bt3b6tltAFgw4YN6hLZ5HkWiwUHDx5EQkJCi5ZDJ89w1dL05AbeHb9uHbKzs0VAQIBYuXKlOHDggJg1a5YICQkRJ06c8HbV/MacOXPEpk2bxLFjx8T27dtFZmamCAsLU5+DliyHTq5x8eJF8e2334pvv/1WABAvvvii+Pbbb8VPP/0khHDd0vTkWgwDF3nllVfU5bhvuOEG8dVXX3m7Sn5l3LhxIiEhQQQEBIjExERx9913i/3796vnW7IcOrnGl19+KQDYfE2YMEEI4bql6cm1uIQ1ERFxzICIiBgGREQEhgEREYFhQEREYBgQEREYBkREBIYBERGBYUBERGAYUCv0z3/+E0lJSdBoNHjppZc8/vhNbfVIJDuGAdlt4sSJUBQFDz30kM25qVOnQlEUTJw40fMVA1BaWorp06fj0Ucfxc8//4wHH3zQbY+1YMECXH/99TbHCwoKrJbUJvIFDANySFJSErKzs1FRUaEeq6ysxNtvv4127dp5rV4nT55EdXU1hg0bhoSEBAQHB9uUqa6udmsdTCYTDAaDWx+DyNUYBuSQG264Ae3atcP777+vHnv//feRlJSEXr16WZXNycnBzTffjIiICERHRyMzMxM//vijer6qqgrTp09HQkICAgMD0b59eyxevFg9v2DBArRr1w4GgwGJiYmYOXNmk3VavXo1evToAQDo0KEDFEXBiRMn1E/wr7/+Ojp06ACDwQAhxFXrBQCnTp3Cvffei6ioKISEhKBPnz7YsWMHVq9ejaeeegrfffcdFEWBoihYvXo1ANtuor1792LQoEEICgpCdHQ0HnzwQZSVlannJ06ciFGjRuH5559HQkICoqOjMW3aNLeHFtHlGAbksN///vdYtWqVevv111/HAw88YFOuvLwcs2fPxq5du/D5559Do9HgrrvuQl1dHQDg5Zdfxocffoh///vfOHz4MN588020b98eAPDee+9h6dKleO2113DkyBF88MEH6ht+Y+PGjcPGjRsBADt37kRBQQGSkpIAAEePHsW///1vrFu3Dnl5eS2qV1lZGW677TacPn0aH374Ib777js88sgjqKurw7hx4zBnzhx0794dBQUFKCgowLhx42zqdOnSJQwZMgSRkZHYtWsX3n33XWzcuBHTp0+3Kvfll1/ixx9/xJdffok1a9Zg9erVargQeYSXV00lHzRhwgQxcuRIcfbsWWEwGMTx48fFiRMnRGBgoDh79qwYOXKkulxxU4qKigQAddniGTNmiEGDBom6ujqbsi+88ILo3LmzqKqqalHdGtbQP378uHps/vz5IiAgQBQVFV3xexvX67XXXhNhYWHi/PnzTZafP3++uO6662yOAxDr168XQgjxz3/+U0RGRoqysjL1/Mcffyw0Go0oLCwUQtT/PpOTk63W6h8zZowYN25cS35kIpdgy4AcFhMTg2HDhmHNmjVYtWoVhg0bhpiYGJtyP/74I8aPH48OHTogPDwcKSkpAOr794H6bpK8vDx06dIFM2fORG5urvq9Y8aMQUVFBTp06IDJkydj/fr1qKmpsbuuycnJiI2NtateeXl56NWrF6Kioux+vAYHDx7Eddddh5CQEPXYgAEDUFdXh8OHD6vHunfvDq1Wq95OSEhAUVGRw49LZC+GATnlgQcewOrVq7FmzZomu4gAYPjw4Th//jxWrFiBHTt2YMeOHQDqxwqA+vGH48eP4+mnn0ZFRQXGjh2Le+65B0D9QPXhw4fxyiuvICgoCFOnTsWtt95qd3/65W/GLa1XUFCQXY/RFHGFTdwvPx4QEGBzrqG7isgTGAbklCFDhqCqqgpVVVXIyMiwOX/+/HkcPHgQf/7zn3H77beja9euNhudA0B4eDjGjRuHFStW4J133sG6detw4cIFAPVvyiNGjMDLL7+MTZs2Ydu2bdi7d69T9W5JvXr27Im8vDy1Ho3p9XrU1tZe8XG6deuGvLw8lJeXq8e+/vpraDQadO7c2amfgciVGAbkFK1Wi4MHD+LgwYNW3RwNIiMjER0djX/+8584evQovvjiC8yePduqzNKlS5GdnY1Dhw7hhx9+wLvvvguTyYSIiAisXr0aK1euxL59+3Ds2DG88cYbCAoKQnJyslP1bkm97rvvPphMJowaNQpff/01jh07hnXr1mHbtm0AgPbt2+P48ePIy8vDuXPnYLFYbB7n/vvvR2BgICZMmIB9+/bhyy+/xIwZM5CVlYX4+HinfgYiV2IYkNPCw8MRHh7e5DmNRoPs7Gzs3r0bqamp+OMf/4jnnnvOqkxoaCieffZZ9OnTBzfeeCNOnDiBTz75BBqNBhEREVixYgUGDBiAnj174vPPP8dHH32E6Ohop+rcknrp9Xrk5uYiLi4Od955J3r06IG//e1vauiNHj0aQ4YMwW9+8xvExsbi7bfftnmc4OBgfPbZZ7hw4QJuvPFG3HPPPbj99tuxbNkyp+pP5GrcA5mIiNgyICIihgEREYFhQEREYBgQEREYBkREBIYBERGBYUBERGAYEBERGAZERASGARERgWFAREQA/j8342t13vw2LwAAAABJRU5ErkJggg==", "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": 9, "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": 10, "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": 13, "id": "38c6454b", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "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": 14, "id": "e3332338", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "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": 15, "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": 16, "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": 17, "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": 18, "id": "7543076a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 18, "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 }