{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "e7572058",
   "metadata": {},
   "source": [
    "# Plot Methods\n",
    "\n",
    "This notebook does the calculations and plots the results from the methods portion of the paper."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "3b496473-8150-4ab5-b393-29b163744e2b",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fb84d672-2091-4ee0-91aa-dab59a972cb8",
   "metadata": {},
   "source": [
    "## Figure 2: Water content of magma"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "f7efff96-a391-4661-83aa-95e382d7203f",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "# Calculate water in magma\n",
    "WMF = np.linspace(0.01,12,500)/100\n",
    "D = 0.001\n",
    "\n",
    "F30 = 0.3\n",
    "m_melt30 = (WMF/F30)*(1-np.power((1-F30),1/D))\n",
    "\n",
    "F20 = 0.2\n",
    "m_melt20 = (WMF/F20)*(1-np.power((1-F20),1/D))\n",
    "\n",
    "F15 = 0.15\n",
    "m_melt15 = (WMF/F15)*(1-np.power((1-F15),1/D))\n",
    "\n",
    "F10 = 0.1\n",
    "m_melt10 = (WMF/F10)*(1-np.power((1-F10),1/D))\n",
    "\n",
    "gpa1 = 1\n",
    "m_sat1 = (12*np.power(gpa1,0.6)) + (1*gpa1)\n",
    "\n",
    "gpa2 = 2\n",
    "m_sat2 = (12*np.power(gpa2,0.6)) + (1*gpa2)\n",
    "\n",
    "gpa3 = 3\n",
    "m_sat3 = (12*np.power(gpa3,0.6)) + (1*gpa3)\n",
    "\n",
    "gpa5 = 5\n",
    "m_sat5 = (12*np.power(gpa5,0.6)) + (1*gpa5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "3c62c077-66dc-4281-9bb4-7e01469f543d",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "plt.rcParams['font.family'] = 'Gill Sans'\n",
    "plt.rcParams['xtick.labelsize'] = 12\n",
    "plt.rcParams['ytick.labelsize'] = 12\n",
    "plt.rcParams['font.size'] =  12\n",
    "\n",
    "# col_dots = \"#172713\"\n",
    "col_dots = 'k'\n",
    "col_earth = \"#009465\"\n",
    "col_mars = \"#cb2f43\"\n",
    "col_io = \"#59256a\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "5ea75830-f04d-43b2-ae19-11279cea2154",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lwdt = 1\n",
    "fig, ax = plt.subplots(1, 1)\n",
    "fig.set_size_inches(8,5)\n",
    "\n",
    "ax.minorticks_on()\n",
    "\n",
    "idx_cut1 = 110\n",
    "ax.fill_between(WMF[0:idx_cut1]*100,m_melt20[0:idx_cut1]*100,m_melt10[0:idx_cut1]*100, color = col_dots,alpha = 0.25,edgecolor='none')\n",
    "\n",
    "idx_cut2 = 109\n",
    "idx_cut3 = 126\n",
    "ax.fill_between(WMF[idx_cut2:idx_cut3]*100,m_sat1*np.ones_like(WMF[idx_cut2:idx_cut3]),m_sat3*np.ones_like(WMF[idx_cut2:idx_cut3]), \n",
    "                color = col_dots,alpha = 0.25,edgecolor='none')\n",
    "\n",
    "l_fs = 12\n",
    "\n",
    "\n",
    "lwdt2 = 1\n",
    "alp = 1\n",
    "ax.axhline(m_sat1,linestyle='--',label='Water solubility limit',color=col_dots,alpha=alp,linewidth=lwdt2)\n",
    "# ax.axhline(m_sat2,linestyle='--',color='grey',alpha=alp,linewidth=lwdt2)\n",
    "ax.axhline(m_sat3,linestyle='--',color=col_dots,alpha=alp,linewidth=lwdt2)\n",
    "# ax.axhline(m_sat5,linestyle='--',color='grey',alpha=alp,linewidth=lwdt2)\n",
    "\n",
    "ax.plot(WMF*100,m_melt10*100,'-',label='Water abundance limit',linewidth=lwdt,color=col_dots)\n",
    "# ax.plot(WMF*100,m_melt15*100,'-',linewidth=lwdt,color='black')\n",
    "ax.plot(WMF*100,m_melt20*100,'-',linewidth=lwdt,color=col_dots)\n",
    "\n",
    "ax.text(0.5,m_sat1+0.5,'$P_{prim} = 1$ GPa',fontsize=l_fs,color=col_dots)\n",
    "# ax.text(10.4,m_sat2+0.5,'$P_{prim} = 2$ GPa',c='grey',fontsize=l_fs)\n",
    "ax.text(0.5,m_sat3+0.5,'$P_{prim} = 3$ GPa',fontsize=l_fs,color=col_dots)\n",
    "# ax.text(10.4,m_sat5+0.5,'$P_{prim} = 5$ GPa',c='grey',fontsize=l_fs)\n",
    "\n",
    "ax.text(1.7,18,'F = 10%',fontsize=l_fs,rotation=21,color=col_dots)\n",
    "# ax.text(4.25,30,'F = 15%',c='black',fontsize=l_fs,rotation=45)\n",
    "ax.text(1.7,6.5,'F = 20%',fontsize=l_fs,rotation=10,color=col_dots)\n",
    "\n",
    "# Draw a box on the plot\n",
    "rect = plt.Rectangle((0.049, 0.1), 0.24 - 0.049, 1.5 - 0.1, linewidth=1, edgecolor=col_earth, facecolor=col_earth)\n",
    "ax.add_patch(rect)\n",
    "\n",
    "# Annotate the box\n",
    "ax.text(0.28, 0.1, 'MORB', fontsize=l_fs, color=col_earth)\n",
    "\n",
    "ax.set_xlim(0,3)\n",
    "ax.set_ylim(0,40)\n",
    "\n",
    "ax.set_xlabel('$m_{H_2O}^{mantle}$ (wt%) \\n Solid mantle water content',fontsize = l_fs)\n",
    "ax.set_ylabel('$m_{H_2O}^{melt}$ (wt%) \\n Magma water content', fontsize = l_fs)\n",
    "ax.legend(ncol=1,columnspacing=.8,labelspacing=.4,fontsize=l_fs,loc='upper left')\n",
    "fig.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e02395af",
   "metadata": {},
   "outputs": [],
   "source": [
    "fig.savefig('fig1_methods.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ae9de47a",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "volc",
   "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": "3.11.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
