{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# MELTS geobarometry part 2 - plagioclase - 2-pyroxene saturated magmas"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- The rhyoliteMELTS geobarometer first used by Gualda and Ghiorso (2014), which focused on the quartz - 2-feldspar ternary, has been expanded to consider the co-saturation of other phases. One of the primary applications of this method outside of high-silica rhyolites is the co-saturation of plagioclase and pyroxene(s) in felsic and intermediate magmas (Harmon et al. 2018).\n",
    "- In this notebook we use an experimental composition from Moore and Carmichael (1998) to evaluate the performance of the plagioclase-pyroxene(s) barometry method.\n",
    "\n",
    "**Before any calculations can be run** users need to install the alphaMELTS for Python source code. Please refer to the installation instructions on the petthermotools ReadtheDocs for how to do so. These files need to be added to the Python path. This can either be achieved through the installation step and/or in the code below using the `sys.path.append(r\"path_to_alphaMELTS\")` code"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "alphaMELTS for Python files successfully located.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "'0.3.21dev'"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import petthermotools as ptt\n",
    "# sys.path.append(r'path_to_alphaMELTS')\n",
    "\n",
    "ptt.__version__"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "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",
   "metadata": {},
   "source": [
    "To demonstrate how PetThermoTools can be used to estimate the pressure of storage for any magma saturated in multiple solid phases we'll use the compsition of an orthopyroxene, clinopyroxene, and plagioclase saturated melt from experiment PEM12-19 of Moore and Carmichael (1998)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "bulk = {'SiO2_Liq': 61.8,\n",
    "       'TiO2_Liq': 0.61,\n",
    "       'Al2O3_Liq': 16.5,\n",
    "       'FeOt_Liq': 3.77,\n",
    "       'MgO_Liq': 1.7,\n",
    "       'CaO_Liq': 4.91,\n",
    "       'Na2O_Liq': 3.5,\n",
    "       'K2O_Liq': 1.87,\n",
    "       'H2O_Liq': 3.6}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Before we run the barometry calculations there are several other things that need to be specified:\n",
    "- The oxygen fugacity of the system, reported to be NNO +1.1.\n",
    "- The pressure range and number of steps.\n",
    "- The phases of interest.\n",
    "- The thermodynamic model we want to use for the calculations.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "fO2_offset = 1.1 # offset from NNO buffer\n",
    "P_bar = np.linspace(250,7500,38) #bars\n",
    "phases = ['clinopyroxene1', 'orthopyroxene1', 'plagioclase1']\n",
    "Model = \"MELTSv1.0.2\" # calculations performed using the rhyolite-MELTS v1.0.2 thermodynamic model as in Harmon et al. (2018)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we can use these parameters to calculate pressure. Note, with a natural glass data the H$_2$O content and oxygen fugacity may not be known, which leads to additional uncertainty in the calculation as these parameters have a notable influence on the saturation curves investigated here.\n",
    "\n",
    "Notably, in the example below we'll also specify a maximum temperaure interval on 200 degrees Celsius below the liquidus and a temperature step for each calculatio of 1 degree Celsius."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "ename": "KeyError",
     "evalue": "'Conditions'",
     "output_type": "error",
     "traceback": [
      "\u001b[31m---------------------------------------------------------------------------\u001b[39m",
      "\u001b[31mKeyError\u001b[39m                                  Traceback (most recent call last)",
      "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[6]\u001b[39m\u001b[32m, line 1\u001b[39m\n\u001b[32m----> \u001b[39m\u001b[32m1\u001b[39m minimum_v102, xtal_v102 = \u001b[43mptt\u001b[49m\u001b[43m.\u001b[49m\u001b[43mmineral_cosaturation\u001b[49m\u001b[43m(\u001b[49m\u001b[43mbulk\u001b[49m\u001b[43m \u001b[49m\u001b[43m=\u001b[49m\u001b[43m \u001b[49m\u001b[43mbulk\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\n\u001b[32m      2\u001b[39m \u001b[43m                                   \u001b[49m\u001b[43mModel\u001b[49m\u001b[43m \u001b[49m\u001b[43m=\u001b[49m\u001b[43m \u001b[49m\u001b[43mModel\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m      3\u001b[39m \u001b[43m                                   \u001b[49m\u001b[43mphases\u001b[49m\u001b[43m \u001b[49m\u001b[43m=\u001b[49m\u001b[43m \u001b[49m\u001b[43mphases\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m      4\u001b[39m \u001b[43m                                   \u001b[49m\u001b[43mP_bar\u001b[49m\u001b[43m \u001b[49m\u001b[43m=\u001b[49m\u001b[43m \u001b[49m\u001b[43mP_bar\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\n\u001b[32m      5\u001b[39m \u001b[43m                                   \u001b[49m\u001b[43mT_initial_C\u001b[49m\u001b[43m \u001b[49m\u001b[43m=\u001b[49m\u001b[43m \u001b[49m\u001b[32;43m1050\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m      6\u001b[39m \u001b[43m                                   \u001b[49m\u001b[43mfO2_buffer\u001b[49m\u001b[43m \u001b[49m\u001b[43m=\u001b[49m\u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mNNO\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m      7\u001b[39m \u001b[43m                                   \u001b[49m\u001b[43mfO2_offset\u001b[49m\u001b[43m \u001b[49m\u001b[43m=\u001b[49m\u001b[43m \u001b[49m\u001b[43mfO2_offset\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m      8\u001b[39m \u001b[43m                                   \u001b[49m\u001b[43mdt_C\u001b[49m\u001b[43m \u001b[49m\u001b[43m=\u001b[49m\u001b[43m \u001b[49m\u001b[32;43m1\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;66;43;03m# temperature interval for each calculation\u001b[39;49;00m\n\u001b[32m      9\u001b[39m \u001b[43m                                   \u001b[49m\u001b[43mT_maxdrop_C\u001b[49m\u001b[43m \u001b[49m\u001b[43m=\u001b[49m\u001b[43m \u001b[49m\u001b[32;43m200\u001b[39;49m\u001b[43m)\u001b[49m \u001b[38;5;66;03m# maximum temperature below the liquidus the code will search for 3 phase saturation\u001b[39;00m\n",
      "\u001b[36mFile \u001b[39m\u001b[32m~/Library/CloudStorage/GoogleDrive-gleesonm@berkeley.edu/My Drive/2022/GitHub/PetThermoTools/src/petthermotools/Barom.py:397\u001b[39m, in \u001b[36mmineral_cosaturation\u001b[39m\u001b[34m(Model, cores, bulk, phases, P_bar, Fe3Fet_init, H2O_init, CO2_init, H2O_Sat, T_initial_C, dt_C, T_maxdrop_C, T_cut_C, find_range, find_min, fO2_buffer, fO2_offset, timeout, multi_processing)\u001b[39m\n\u001b[32m    393\u001b[39m             new_results = compile_results(res)\n\u001b[32m    395\u001b[39m             full_results[\u001b[33mf\u001b[39m\u001b[33m\"\u001b[39m\u001b[33mRun \u001b[39m\u001b[38;5;132;01m{\u001b[39;00mrun\u001b[38;5;132;01m}\u001b[39;00m\u001b[33m\"\u001b[39m] = new_results\n\u001b[32m--> \u001b[39m\u001b[32m397\u001b[39m     Results = \u001b[43mstich\u001b[49m\u001b[43m(\u001b[49m\u001b[43mRes\u001b[49m\u001b[43m=\u001b[49m\u001b[43mfull_results\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mmulti\u001b[49m\u001b[43m=\u001b[49m\u001b[38;5;28;43;01mTrue\u001b[39;49;00m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mModel\u001b[49m\u001b[43m=\u001b[49m\u001b[43mModel\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m    398\u001b[39m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[32m    399\u001b[39m     Results = stich(Res=results, multi=\u001b[38;5;28;01mTrue\u001b[39;00m, Model=Model)\n",
      "\u001b[36mFile \u001b[39m\u001b[32m~/Library/CloudStorage/GoogleDrive-gleesonm@berkeley.edu/My Drive/2022/GitHub/PetThermoTools/src/petthermotools/GenFuncs.py:827\u001b[39m, in \u001b[36mstich\u001b[39m\u001b[34m(Res, multi, Model, Frac_fluid, Frac_solid)\u001b[39m\n\u001b[32m    825\u001b[39m         \u001b[38;5;28;01mfor\u001b[39;00m Ind \u001b[38;5;129;01min\u001b[39;00m Res:\n\u001b[32m    826\u001b[39m             Result = Res[Ind].copy()\n\u001b[32m--> \u001b[39m\u001b[32m827\u001b[39m             Result = \u001b[43mstich_work\u001b[49m\u001b[43m(\u001b[49m\u001b[43mResults\u001b[49m\u001b[43m \u001b[49m\u001b[43m=\u001b[49m\u001b[43m \u001b[49m\u001b[43mResult\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mOrder\u001b[49m\u001b[43m \u001b[49m\u001b[43m=\u001b[49m\u001b[43m \u001b[49m\u001b[43mOrder\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mModel\u001b[49m\u001b[43m \u001b[49m\u001b[43m=\u001b[49m\u001b[43m \u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mMELTS\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mFrac_fluid\u001b[49m\u001b[43m \u001b[49m\u001b[43m=\u001b[49m\u001b[43m \u001b[49m\u001b[43mFrac_fluid\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mFrac_solid\u001b[49m\u001b[43m \u001b[49m\u001b[43m=\u001b[49m\u001b[43m \u001b[49m\u001b[43mFrac_solid\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m    828\u001b[39m             Results[Ind] = Result.copy()\n\u001b[32m    829\u001b[39m \u001b[38;5;28;01melse\u001b[39;00m:\n",
      "\u001b[36mFile \u001b[39m\u001b[32m~/Library/CloudStorage/GoogleDrive-gleesonm@berkeley.edu/My Drive/2022/GitHub/PetThermoTools/src/petthermotools/GenFuncs.py:869\u001b[39m, in \u001b[36mstich_work\u001b[39m\u001b[34m(Results, Order, Model, Frac_fluid, Frac_solid)\u001b[39m\n\u001b[32m    867\u001b[39m Res = Results.copy()\n\u001b[32m    868\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[33m\"\u001b[39m\u001b[33mMELTS\u001b[39m\u001b[33m\"\u001b[39m \u001b[38;5;129;01min\u001b[39;00m Model:    \n\u001b[32m--> \u001b[39m\u001b[32m869\u001b[39m     Results[\u001b[33m'\u001b[39m\u001b[33mConditions\u001b[39m\u001b[33m'\u001b[39m] = \u001b[43mResults\u001b[49m\u001b[43m[\u001b[49m\u001b[33;43m'\u001b[39;49m\u001b[33;43mConditions\u001b[39;49m\u001b[33;43m'\u001b[39;49m\u001b[43m]\u001b[49m.rename(columns = {\u001b[33m'\u001b[39m\u001b[33mtemperature\u001b[39m\u001b[33m'\u001b[39m:\u001b[33m'\u001b[39m\u001b[33mT_C\u001b[39m\u001b[33m'\u001b[39m})\n\u001b[32m    870\u001b[39m     Results[\u001b[33m'\u001b[39m\u001b[33mConditions\u001b[39m\u001b[33m'\u001b[39m] = Results[\u001b[33m'\u001b[39m\u001b[33mConditions\u001b[39m\u001b[33m'\u001b[39m].rename(columns = {\u001b[33m'\u001b[39m\u001b[33mpressure\u001b[39m\u001b[33m'\u001b[39m:\u001b[33m'\u001b[39m\u001b[33mP_bar\u001b[39m\u001b[33m'\u001b[39m})\n\u001b[32m    871\u001b[39m \u001b[38;5;28;01melse\u001b[39;00m:\n",
      "\u001b[31mKeyError\u001b[39m: 'Conditions'"
     ]
    }
   ],
   "source": [
    "minimum_v102, xtal_v102 = ptt.mineral_cosaturation(bulk = bulk, \n",
    "                                   Model = Model,\n",
    "                                   phases = phases,\n",
    "                                   P_bar = P_bar, \n",
    "                                   T_initial_C = 1050,\n",
    "                                   fO2_buffer = \"NNO\",\n",
    "                                   fO2_offset = fO2_offset,\n",
    "                                   dt_C = 1, # temperature interval for each calculation\n",
    "                                   T_maxdrop_C = 200) # maximum temperature below the liquidus the code will search for 3 phase saturation\n",
    "                                    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To investigate the results, we can use in-built plotting functions to look at the position of the saturation curves in P-T space:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(<Figure size 500x400 with 1 Axes>,\n",
       " <Axes: xlabel='P (bars)', ylabel='T ($\\\\degree$C)'>)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ptt.plot_surfaces(Results = minimum_v102, P_bar = P_bar, phases = phases)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also investigate the temperature residual between the curves using the plottin function below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x800 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ptt.residualT_plot(Results = minimum_v102, P_bar = P_bar, phases = phases, interpolate = False, ylim = [0, 100])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "These results suggest that the magma likely equilibrated around 900 - 1400 bars (90-100 MPa), with the plagioclase-clinopyroxene intersection indicating a slightly higher pressure of equilibrium than the 3-phase and plagioclase-orthopyroxene intersections. Interestingly, these results aline well with the experimental pressure of 1008 bars (100.8 MPa). However, if we were to follow the \"Which MELTS verison should you use?\" flow-diagram on the ofm-research website (https://melts.ofm-research.org/MELTS-decision-tree.html), you'll see that we should have used rhyolite-MELTS v1.2.0 as the magma contains dissolved H$_2$O. As a result, we can rerun the calculations, keeping everything the same but using the rhyolite-MELTS v1.2.0 model instead."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "Model = \"MELTSv1.2.0\"\n",
    "minimum_v120, xtal_v120 = ptt.mineral_cosaturation(bulk = bulk, \n",
    "                                   Model = Model,\n",
    "                                   phases = phases,\n",
    "                                   P_bar = P_bar, \n",
    "                                   T_initial_C = 1050,\n",
    "                                   fO2_buffer = \"NNO\",\n",
    "                                   fO2_offset = fO2_offset,\n",
    "                                   dt_C = 1, # temperature interval for each calculation\n",
    "                                   T_maxdrop_C = 200) # maximum temperature below the liquidus the code will search for 3 phase saturation\n",
    "                                    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(<Figure size 500x400 with 1 Axes>,\n",
       " <Axes: xlabel='P (bars)', ylabel='T ($\\\\degree$C)'>)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ptt.plot_surfaces(Results = minimum_v120, P_bar = P_bar, phases = phases)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x800 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ptt.residualT_plot(Results = minimum_v120, P_bar = P_bar, phases = phases, interpolate = False, ylim = [0, 100])"
   ]
  },
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   "cell_type": "markdown",
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    "The graphs above indicate that if we were to use the rhyolite-MELTS v1.2.0 model to determine the storage pressure of this magma we'd get a result between approximately 5500 and 6000 bars. Notably, this is around 5000 bars higher than the true experimental pressure and the result obtained using the rhyolite-MELTS v1.0.2 model. So, does this mean that these calculations should be performed using the rhyolite-MELTS v1.0.2 model only? Unfortunately things arn't quite that simple, as analysis of ~40 plagioclase - 2-pyroxene saturated melt compositions in Wieser et al. (2023) indicate that there is a very poor correlation between experimental pressure and the pressure determined by the the MELTS geobarometer for both MELTS models."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![alt text](P2P_review.jpg)"
   ]
  }
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