{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Demonstration of Forward Modeling\n", "This notebook demonstrates the basic forward modeling functionality of GDTchron. It creates a time-temperature (t-T) path, forward models AHe, AFT, and ZHe ages, and plots the results in the figure used in the accompanying manuscript" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Imports\n", "import cmcrameri.cm as cmc\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "from gdtchron import aft, he\n", "\n", "plt.rcParams['pdf.fonttype'] = 42" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The cell below creates a t-T path in which a rock is 100°C at 35 Ma, then at 15 Ma begins cooling to 0°C over 4 Myr (25°C/Myr)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Temperature (C)')" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Define t-T path\n", "start_t = 100 + 273 # K\n", "end_t = 0 + 273 # K\n", "\n", "static_start = np.ones(20) * start_t # 100 degC for 20 Myr\n", "cooling = np.linspace(start_t, end_t, 5) # Cooling to 0 degC over 4 Myr\n", "static_end = np.ones(11) * end_t # 0 deg C for 11 Myr\n", "\n", "temps = np.concatenate([static_start, cooling, static_end]) # K\n", "\n", "time = np.arange(35, 0 - 1, -1)\n", "\n", "plt.plot(time, temps - 273) # degC\n", "plt.gca().invert_xaxis()\n", "plt.gca().invert_yaxis()\n", "plt.xlabel('Time (Ma)')\n", "plt.ylabel('Temperature (C)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The cell below uses GDTchron to get He ages (both apatite and zircon) from this t-T path. Note that the U and Th concentrations, as well as the radius of the crystal, need to be specified for modeling." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "AHe Age: 13.9 Ma\n", "ZHe Age: 34.76 Ma\n" ] } ], "source": [ "# Calculate AHe and ZHe ages\n", "results_ahe = he.forward_model_he(temps=temps, tsteps=time, system='AHe', u=100, th=100,\n", " radius=50, return_all=True)\n", "\n", "print('AHe Age: ', round(results_ahe[0], 2), ' Ma')\n", "\n", "results_zhe = he.forward_model_he(temps=temps, tsteps=time, system='ZHe', u=100, th=100,\n", " radius=50, return_all=True)\n", "\n", "print('ZHe Age: ', round(results_zhe[0], 2), ' Ma')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The cell below plots normalized He concentration as a function of the radius of the crystal for both apatite and zircon." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot Profiles\n", "fig, axs = plt.subplots(1, 2, dpi=300, figsize=(6.5, 3))\n", "\n", "ahe_positions = results_ahe[3]\n", "ahe_volumes = results_ahe[4]\n", "\n", "axs[0].plot(ahe_positions, ahe_volumes)\n", "axs[0].set_title('AHe')\n", "\n", "zhe_positions = results_zhe[3]\n", "zhe_volumes = results_zhe[4]\n", "\n", "axs[1].plot(zhe_positions, zhe_volumes)\n", "axs[1].set_title('ZHe')\n", "\n", "for ax in axs:\n", " ax.set_xlabel('Normalized Radius')\n", " ax.set_ylabel('Normalized He Concentration')\n", "\n", "plt.tight_layout()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The cell below calculates an age and track length distribution for the AFT system. The track length distribution is then plotted. Note that the etch parameter Dpar must be specified for modeling." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "AFT Age: 21.26 Ma\n" ] }, { "data": { "text/plain": [ "Text(0, 0.5, 'Frequency')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Calculate AFT ages\n", "results_aft = aft.forward_model_aft(temps=temps, tsteps=time, dpar=1.75, \n", " get_lengths=True, make_graph=True)\n", "\n", "print('AFT Age: ', round(results_aft[0], 2), ' Ma')\n", "\n", "length_results = results_aft[1]\n", "lengths, freqs = length_results[2], length_results[3]\n", "\n", "plt.plot(lengths, freqs)\n", "\n", "plt.xlabel(r'C-axis Normalized Track Length ($\\mu m$)')\n", "plt.ylabel('Frequency')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The cells below just plot the same information for a publication-ready figure." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# Set up plotting colormaps\n", "ahe_cmap = cmc.devon\n", "aft_cmap = cmc.lajolla\n", "zhe_cmap = cmc.bamako\n", "cat_cmap = cmc.batlowS" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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44YdNEKxmB9PgYiuQeO3atSbA46ijjjIlvZzE+/U50c+HHkP6P0IDhTVYQl+b/q/RE19ahkE7ywEAkaGZCXSAipaA1IwFP/74o2nnaD+RxePxmIBCPYGrfUUnnngiu78UZLsCkMyeffZZ8x9G/0NrAHRVddyf26+B3vpfOBkQWAAACUI72LRTVH/EtKNYT3JrR6H+uZs9e7bcfvvtZrTSiBEjTIegdlRrZ7BVn1VH+X/++eclHldH22kKOx2VdMkll8iyZctMYIHe1owBl19+uQlQ0OefP39+mbdbU7cq7bQOlxXFqCPtio94s8oghBPp2Lp1azMSTTuL9fXoftM/ytrxqvtKr2vWg40bNzo+hu5zDbLQhlCyNB4AAIAzDcRUGhhgBVCGS9tTmllAR21oO07banryVtsiVtvmgQcekKeeesrxMXS0tp4U1xPluv6OHTvMqHs9QV58RLjO15P9mt1K2456XUema4CBZinQk9Ka0embb74xy2h7SduMGuygJxnsRmXoqHYNHtCAVj25q+1GfWw9Mf2f//zHjGKcNm2aPPbYYxE7jJxGYemkbWCrvaidPsEeeeQRM18zFOiJEH3d+jp1hKW2azVrhN6no+CLj9DXoF5tG2uAhAZyaBtZ29e6nJ60t547moKPL80kVpxmlxg3bpzJOqDHkb4P+n5oAMU///lPs8z//d//2QZOVIbX5/TfQdv7GjCjnzU9rvR16fumx/knn3xi2u/6GQIARIb2m2ibQQO5dGDGQQcdFHJ5PcHyzjvvmDZEWZQ3047+HmhgoH73O2WM+vDDD81vhy5nleO0aEajUJmNopUlJ1LZrpS2H3UQjma50kBAbc8NGjTItAftgg/Lku0qeDl9LA1c1AFG2n7SjFSa2UiDWS3ajtLMqFo6VAcHaYYLDQjUQTxOIpFlyY7Te2tlRgpnKp4pq6JZXXWwlwZuagkRXVcHgGkW1PJk9IqUcI+FSL1X69atM4O9dICclT1WM4dpQJIOXCvrZ0oHnulnU7c1liXpynscBO9vfd/1BLseB/o/SY8LDf4OlVZf19HPti5ndxzZHffah673zZo1y9zW4PJwjnXr+cq6jaXRx9RgdaXHTSgauK/bd8sttzguc80115hl9HvZ7v7jjz/e3Nbvf/1u1O8lfS06YFD/t1v0+H/66adNALYe//o9p1n39P+1k7S0NHPuJKkyGvsBAHFx6623aovRTKWxlps5c2aR+1evXh2Y16VLF39ubm6Jdc8+++zAMscee6zf5/OVWOaYY44x8y+88MIS8w4//HAzb/z48Y7b949//MMsc+KJJ/rLYuXKlYFtmz9/vuNy+rqt5fQ1q3bt2pnbX3zxRWC5VatW+V0ul79WrVr+/fv3m/us9V588UV/WR1//PFm3TvuuCPkcrrvdblbbrmlzM8BAAASo03XsmXLwH0nn3yyue/QQw8t0vYKbrsVb9d9++23gXlPP/207XONHDnSzK9fv74/JyenyLz+/fsH1n/vvfcct1e3U5fJzMz0//bbbyXmP//884HHadSokX/btm0lltF2oc5v06aNv6ymTZvmuG7w/rHafOHMc/Lpp5/6U1JSzDq33XZbkXlbt271Z2Vlmbbj559/brt+QUGB/7DDDjPrP/zww0XmDR8+3Nzfvn37QLsz2McffxzY3uBjI1zadnV6vVu2bPHffPPNgfndu3f3l8cVV1zh+B+goq/P+lzocVmcdazqMk6c1r/vvvvM/UOGDCnDKwUAlNemTZv8brfb8fciWv1kOlWvXt2fnp4euK2/2f/5z39KrKdtrcGDB5tlDj74YP+ePXuKzN+4caO/QYMGZv4555xTYv1zzz3XzNPL4i644IIS26Tth+D7wm2XFH+d1u+n9bs4cODAEsuGajtaxo0bV2Qf1a5d2+/xeAL3/e1vfyuxT4Kf9/rrr/cfddRR5rq2m+rUqVPk+azlbrzxxsB+TktL81erVq3Ifvn+++9Nu7FHjx7mvoyMDNPetJZp2LChf82aNRF970t7/5zmTZw40bRznaYaNWo4vr/vv/++2T5rfmpqapF9oftm8uTJtsfp+eefX+Q16b62Pl+jR48O+Vqi2e8c7rFQ0fdKvfTSS+bYCN5f2o8b/Jg//PBD2G3He++918zT/fjf//43avuouPIeB8GvR9vz2pdu7e+aNWsW2Q92/cyFhYX+008/3fE4OuOMM2yPo6lTp5pjW7dT5+m2Fj/u165dG5FtDMfPP/8ceIw//vjDcTn93FjP+fbbbzsuN2DAANvt0e8/vf+f//yn/4QTTrD9/tLb+v21bt26wHkQ/e4KPk71+2vXrl2Oz//yyy8HlksGZCwAgASho5E0Krk4jaqzaBSlXSpYa5ni0Xcacaw18jTqUyP8nJxzzjnmUjMeOEVC2wnOBNCgQQMpi/PPP99caoSmRa9rLMHo0aNNtGtFWdGMVlYFJxoJrkJlNgAAAMlDU8Vr1ihNFayju8OhI3+UjgLUUS527rjjDnOpI7M/++wz22W6dOliMlSVRkdVtG3bNmTb8eKLLzajOZyW0ZFnOlK8PO0rXVezAUSLZvHSkXta5kozL2jJg+KjxXREnY7G0lErdjQrla6rdCS8RUfuW7e1NIVdu1P3kY7kiQQtO6DZB3TSkTU6OlBHAiq9T19LJNu6sX59ZaEjh5SW1ijL/w4AQPnoSE6rfNHJJ58c1d1Y3kw72s/18ssvm99HXdaqd620j0j7rPR3Q9s9mmGgsmXJqUi2K80ApRkErHab9kvpvtNR5Xq/tmW++OILGTt2bIWzXT3xxBNm32vmKc1gpPtCsyzoCG29re+RPo8+v+4bK9uV9hVqn5+WL3IaTV6RLEvloSXDnLJd/frrr4GsHD179pQmTZpEJKurlgmz+jC1bJPuD93XOunIdc0KpuWn4imcY6Ei75VmDtHPjGYk0KwNmmFX19W2px6zX331lTmGwvlM6Wdbn0/7urU/XP9L6X6NhUhl99X9rdkgNJuA7m/dB5rNwfovp+19zRIXbOLEieZYsfazfrfp+6Tvhf4H1f3w3nvvlXguzRqix7eOxHf6DGh5lkhsYzj0vVb6nHpMOdH/jFb5Pc0a7ET/dyvNpmJ3v2a10GNbs+7o+6STft9qlgl9rzR7zLBhw8x1/S7W7y+drM+sfl5DlYE+4ogjAstZ5ZYTWrwjGwAgWUU6Y4FG+tn57LPPAsvYRSirZ5991sxv27Ztkfsfe+wxc79GOoeK5NVRc9ZzbN68Oex98NZbbwXWy87OLlPGgvXr15vt0kjx3bt3+71er79FixZmmXnz5pXYd04ZC3788Uf/ZZdd5u/WrZuJSNZIz+DIS500I0Eo1qjEsmZsAAAAiZmxQF100UWBkXP5+fmljjqzMkhptqlQmjVrZjsawxpVcvHFF4dc38pY8OijjzqO0i8t84FmOrCW0TZZcdrmvP/++/39+vUzIwStkTHFJx0ZEo2MBTq6slWrVmbZPn362Gb1OvXUUwOjUUK1c60RMp06dQqsO2PGjMC2aAYuJzfddJPtsVHWjAVOk2Yj03ZwKLp911xzjb9nz55mNJg1mil40hE7wSLx+qKVsUC3xxo9pO/tc889Z7KWAQCiIzhDzoYNG+K6m0Nl2lEffvhhoE9n0qRJ5r577rknMJq4eLvD4jRKPFpZciKV7UozCtWtWzcwStmOtvec2l3hZrsKXm727Nkl5ge3G0rLiKXzrXZxpN778mQscKLt4EGDBpl1tM1dvJ1b3qyummnMeq+c2vo33HBDYD/GK2NBacdCRd4r3betW7c28/r27evPy8sL+zGLtx11XWvUvrZvnbJ5RCtjQUWz+wbv7+BMvBb979K0aVMz/8477wzcv2/fvsB/E6fvweDXZHcchdMOr8g2hsvKsKxZBEJ5/fXXzXJ67sHJihUrAtsanBXl999/D9yvmQTsfsOs/+w6de7c2b93794Sy+h/Wp1/+eWXh9zW6n9msHjhhRf8iY6MBQCQILS+kR2NTg53Ga0jFMwaga+jgTZv3uw4afSqRUd+hSu4ZpZdtoVQtG7ckCFDzPNppOaMGTNk7dq10rlz50CUYDiR3Rp9/OSTT8qiRYtMtKLWpdK6eTrpiDBV2kg8axRXeevqAQCAxKMjj7SNoKN3nnrqqVKX19ENVhsnFGsElbV8cTpaL1ZtR7v24/Lly017TOum6kgUHUWj2a90pJrVxrKUNdtBOHS0kNZn1RqhrVq1MiO/7NqZVjtXlw/VzrVGyAS3cYP3faj3q7Qa1OFavXq1GZWlk26T1gbVx9asFaHqyOqIHH0vtE7uwoULzQgjqx6yvg916tSxfR9i/frKQkdFPvfcc+Z1fPPNNya7h96nr0lHYun7Hc8axQCQaHSUvkVrqcdTaVklhw8fbkZSKx25rPW/rZrcOpJXsxRV1iw55cl2pe0AHalstTvt6Mhpa8S90+OGm+2qb9++ZrKrf261tU499dSQGbG03VWe0c3hZhStqMsuu8z0L1arVs2M+g5uB1Ukq+unn34aeK+c6sTryHsdPR1P4R4L5XmvdBS4tmmVZtMob6YPbZvryHLtC9Zje9asWTJgwACJlUhm99WsDQMHDixxv36e7LILayYQ67/JTTfdZPuYuk1ZWVkSKWXdxnBZ/8VKy2Cs/2FKy1ZgZcfQTHstWrQocb969tlnpWnTpo7/ZzTzjR5T+tkvzvoeKP6/tzgr018yZDQmsAAA4Mhq+HTs2DHQmVnapB244QpOraspm8oquByCpqcLvq80mqbq6quvNin9NE2uprHSwADdDisF1EMPPWSWLa1z0vpzYJcqGAAAJCftgLjqqqsCKSI1gDEcdmWryrKcdkrHk7bF1q9fb9qEmipXT0joiWs9Wa3tqw0bNgSWjfQJYCvd8bfffmsCRKdPn+7YWWW1czVdcjhtXA1UqAz0BLqWZ9CTCRq4oulJNTVpcbrfzzvvPMnLy5O//e1vJoWpBkdocIEGJ+h7oe9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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Put everything together into a nice figure\n", "fig, axs = plt.subplots(1, 3, dpi=300, figsize=(7, 2.5))\n", "\n", "axs[0].plot(time, temps - 273, c='black') # degC\n", "axs[0].invert_xaxis()\n", "axs[0].invert_yaxis()\n", "axs[0].set_xlabel('Time (Ma)', fontsize=6)\n", "axs[0].set_ylabel(r'Temperature ($\\degree$C)', fontsize=6)\n", "axs[0].set_title('Time-Temperature Path', fontsize=8)\n", "\n", "axs[1].plot(ahe_positions, ahe_volumes, c=cat_cmap.colors[6], label='AHe')\n", "axs[1].plot(zhe_positions, zhe_volumes, c=cat_cmap.colors[2], label='ZHe')\n", "axs[1].set_xlabel('Normalized Radius', fontsize=6)\n", "axs[1].set_ylabel('Normalized He Concentration', fontsize=6)\n", "axs[1].legend(fontsize=6)\n", "axs[1].set_title('He Diffusion Profile', fontsize=8)\n", "\n", "ahe_text = 'AHe Age: ' + str(round(results_ahe[0], 1)) + ' Ma'\n", "zhe_text = 'ZHe Age: ' + str(round(results_zhe[0], 1)) + ' Ma'\n", "aft_text = 'AFT Age: ' + str(round(results_aft[0], 1)) + ' Ma'\n", "\n", "bbox = {'facecolor': 'white', 'edgecolor': 'white'}\n", "\n", "axs[1].annotate(ahe_text + '\\n' + zhe_text, (0.1, 0.4), xycoords='axes fraction', \n", " fontsize=7, bbox=bbox)\n", "axs[2].annotate(aft_text, (0.1, 0.5), xycoords='axes fraction', fontsize=7, bbox=bbox)\n", "\n", "axs[2].plot(lengths, freqs, c=cat_cmap.colors[4], label='AFT')\n", "axs[2].set_xlabel(r'C-axis Normalized Track Length ($\\mu m$)', fontsize=6)\n", "axs[2].set_ylabel('Frequency', fontsize=6)\n", "axs[2].legend(fontsize=6)\n", "axs[2].set_title('Track Length Distribution', fontsize=8)\n", "\n", "for k, ax in enumerate(axs):\n", " ax.tick_params(axis='both', labelsize=6)\n", " ax.grid(True)\n", " ax.annotate(chr(97 + k) + ')', (-0.1, 1.1), xycoords='axes fraction', fontsize=10) \n", "\n", "plt.tight_layout()\n", "fig.savefig('tchron_demo.pdf')" ] } ], "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": "3.12.12" } }, "nbformat": 4, "nbformat_minor": 4 }