{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Thermal Exploration using TidalPy\n", "In this notebook we will see how we can use TidalPy's object oriented approach to build a layered planet. We will then apply different temperatures to its mantle layer and see how its physical properties and tidal heating potential are affected." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Build the Planet\n", "For this example we will build a simple version of Io. We will use the pre-built TidalPy configuration for \"io_simple\"; its configurations will be printed below." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from ipywidgets import interact, widgets\n", "%matplotlib widget \n", "from TidalPy.structures import build_world, build_from_world\n", "from TidalPy.structures import Orbit\n", "\n", "print_configs = False" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from pprint import pprint\n", "io = build_world('io_simple')\n", "\n", "if print_configs:\n", " print('Complex Compliance Model Parameters:')\n", " pprint(io.Mantle.rheology.complex_compliance_model.config)\n", " print('\\nSolid Viscosity Model Parameters:')\n", " pprint(io.Mantle.rheology.viscosity_model.config)\n", " print('\\nPartial Melting Model Parameters:')\n", " pprint(io.Mantle.rheology.partial_melting_model.config)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot the Planet's Interior Structure\n", "Remember this is just a simple version of Io (no density as function of pressure)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "d233e14f422d4096b1667f9cf8dae483", "version_major": 2, "version_minor": 0 }, "image/png": 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", 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", 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\n", " Figure\n", "
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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "temperature = np.linspace(900., 2000., 500)\n", "io.Mantle.set_state(temperature=temperature)\n", "\n", "# Plot the results\n", "fig, ax = plt.subplots()\n", "ax.set(xlabel='Temperature [K]', ylabel='Viscosity [Pa s]', yscale='log')\n", "ax.yaxis.label.set_color('b')\n", "ax_2 = ax.twinx()\n", "ax_2.set(yscale='log', ylabel='Shear Modulus [Pa]')\n", "ax_2.yaxis.label.set_color('r')\n", "\n", "io_visco_vs_temp = io.Mantle.viscosity\n", "io_shear_vs_temp = io.Mantle.shear_modulus\n", "ax.plot(temperature, io_visco_vs_temp, c='b')\n", "ax_2.plot(temperature, io_shear_vs_temp, c='r')\n", "\n", "# Add line where partial melting starts\n", "ax_2.axvline(x=1600., ls=':', c='k')\n", "ax_2.annotate('Partial Melting Starts', (1600., 1.e2), (1100, 1.e4), arrowprops={'arrowstyle':'->'})\n", "ax_2.axvline(x=1800., ls=':', c='k')\n", "ax_2.annotate('Breakdown', (1800., 1.e2), (1850, 1.e4), arrowprops={'arrowstyle':'->'})\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Calculate Tidal Heating as a function of Temperature for Io\n", "Using a more realistic interior model for Io, we will now calculate tidal heating as a function of mantle temperature.\n", "This assumes Io's mantle is a homogeneous layer that follows the shear & viscosity vs. temperature relationship seen in the last figure." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "from TidalPy import _in_jupyter\n", "from TidalPy.logger import is_notebook" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "False" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import TidalPy\n", "TidalPy.config['logging']['print_log_notebook']" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "is_notebook()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "import logging\n", "logg = logging.getLogger('TidalPy')" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "logg.handlers" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Warning: No module named 'autograd'. For full functionality of BurnMan, please install autograd.\n", "Warning: No module named 'autograd'. For full functionality of BurnMan, please install autograd.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Warning from file 'C:\\Users\\joepr\\miniforge3\\envs\\tpy312\\Lib\\site-packages\\burnman\\classes\\mineral.py', line 242:\n", "You are trying to calculate shear modulus for Fe_Dewaele when it is exactly zero. \n", "If Fe_Dewaele is a liquid, then you can safely ignore this warning, but consider \n", "calculating bulk modulus or bulk sound rather than Vp or Vs. \n", "If Fe_Dewaele is not a liquid, then shear modulus calculations for the \n", "underlying equation of state (Vinet) have not been implemented, \n", "and Vp and Vs estimates will be incorrect.\n", "\n", "One or more heat sources were not set for Layer Mantle (rock in Io_variant (BurnManWorld); loc=1).\n", "One or more heat sources were not set for Layer Mantle (rock in Io_variant (BurnManWorld); loc=1).\n", "One or more heat sources were not set for Layer Mantle (rock in Io_variant (BurnManWorld); loc=1).\n", "One or more heat sources were not set for Layer Mantle (rock in Io_variant (BurnManWorld); loc=1).\n", "One or more heat sources were not set for Layer Mantle (rock in Io_variant (BurnManWorld); loc=1).\n", "One or more heat sources were not set for Layer Mantle (rock in Io_variant (BurnManWorld); loc=1).\n", "One or more heat sources were not set for Layer Mantle (rock in Io_variant (BurnManWorld); loc=1).\n", "One or more heat sources were not set for Layer Mantle (rock in Io_variant (BurnManWorld); loc=1).\n", "Warning from file 'C:\\Users\\joepr\\miniforge3\\envs\\tpy312\\Lib\\site-packages\\burnman\\classes\\mineral.py', line 242:\n", "You are trying to calculate shear modulus for Fe_Dewaele when it is exactly zero. \n", "If Fe_Dewaele is a liquid, then you can safely ignore this warning, but consider \n", "calculating bulk modulus or bulk sound rather than Vp or Vs. \n", "If Fe_Dewaele is not a liquid, then shear modulus calculations for the \n", "underlying equation of state (Vinet) have not been implemented, \n", "and Vp and Vs estimates will be incorrect.\n", "\n", "One or more heat sources were not set for Layer Mantle (rock in Io_variant (BurnManWorld); loc=1).\n", "One or more heat sources were not set for Layer Mantle (rock in Io_variant (BurnManWorld); loc=1).\n", "One or more heat sources were not set for Layer Mantle (rock in Io_variant (BurnManWorld); loc=1).\n", "One or more heat sources were not set for Layer Mantle (rock in Io_variant (BurnManWorld); loc=1).\n", "One or more heat sources were not set for Layer Mantle (rock in Io_variant (BurnManWorld); loc=1).\n", "One or more heat sources were not set for Layer Mantle (rock in Io_variant (BurnManWorld); loc=1).\n", "One or more heat sources were not set for Layer Mantle (rock in Io_variant (BurnManWorld); loc=1).\n", "One or more heat sources were not set for Layer Mantle (rock in Io_variant (BurnManWorld); loc=1).\n", "Warning from file 'C:\\Users\\joepr\\miniforge3\\envs\\tpy312\\Lib\\site-packages\\burnman\\classes\\mineral.py', line 242:\n", "You are trying to calculate shear modulus for Fe_Dewaele when it is exactly zero. \n", "If Fe_Dewaele is a liquid, then you can safely ignore this warning, but consider \n", "calculating bulk modulus or bulk sound rather than Vp or Vs. \n", "If Fe_Dewaele is not a liquid, then shear modulus calculations for the \n", "underlying equation of state (Vinet) have not been implemented, \n", "and Vp and Vs estimates will be incorrect.\n", "\n", "One or more heat sources were not set for Layer Mantle (rock in Io_variant (BurnManWorld); loc=1).\n", "One or more heat sources were not set for Layer Mantle (rock in Io_variant (BurnManWorld); loc=1).\n", "One or more heat sources were not set for Layer Mantle (rock in Io_variant (BurnManWorld); loc=1).\n", "One or more heat sources were not set for Layer Mantle (rock in Io_variant (BurnManWorld); loc=1).\n", "One or more heat sources were not set for Layer Mantle (rock in Io_variant (BurnManWorld); loc=1).\n", "One or more heat sources were not set for Layer Mantle (rock in Io_variant (BurnManWorld); loc=1).\n", "One or more heat sources were not set for Layer Mantle (rock in Io_variant (BurnManWorld); loc=1).\n", "One or more heat sources were not set for Layer Mantle (rock in Io_variant (BurnManWorld); loc=1).\n", "Warning from file 'C:\\Users\\joepr\\miniforge3\\envs\\tpy312\\Lib\\site-packages\\burnman\\classes\\mineral.py', line 242:\n", "You are trying to calculate shear modulus for Fe_Dewaele when it is exactly zero. \n", "If Fe_Dewaele is a liquid, then you can safely ignore this warning, but consider \n", "calculating bulk modulus or bulk sound rather than Vp or Vs. \n", "If Fe_Dewaele is not a liquid, then shear modulus calculations for the \n", "underlying equation of state (Vinet) have not been implemented, \n", "and Vp and Vs estimates will be incorrect.\n", "\n", "One or more heat sources were not set for Layer Mantle (rock in Io_variant (BurnManWorld); loc=1).\n", "One or more heat sources were not set for Layer Mantle (rock in Io_variant (BurnManWorld); loc=1).\n", "One or more heat sources were not set for Layer Mantle (rock in Io_variant (BurnManWorld); loc=1).\n", "One or more heat sources were not set for Layer Mantle (rock in Io_variant (BurnManWorld); loc=1).\n", "One or more heat sources were not set for Layer Mantle (rock in Io_variant (BurnManWorld); loc=1).\n", "One or more heat sources were not set for Layer Mantle (rock in Io_variant (BurnManWorld); loc=1).\n", "One or more heat sources were not set for Layer Mantle (rock in Io_variant (BurnManWorld); loc=1).\n", "One or more heat sources were not set for Layer Mantle (rock in Io_variant (BurnManWorld); loc=1).\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "469d70e6b3ea41718a967849fcd838bc", "version_major": 2, "version_minor": 0 }, "image/png": 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"text/html": [ "\n", "
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\n", " Figure 3\n", "
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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_convection = True\n", "plot_radiogenics = False\n", "\n", "# Build a new Io\n", "io_base = build_world('io')\n", "\n", "# Setup domain and plot\n", "temperature = np.linspace(1000., 1850., 100)\n", "fig2, ax2 = plt.subplots()\n", "ax2.set(xlabel='Temperature [K]', ylabel='Tidal Heating [W]', yscale='log', ylim=(1e11, 1e16), xlim=(1100, 1800),\n", " title='Tidal Heating within Io')\n", "\n", "# Lets show how different rheological models can impact tidal heating\n", "fixed_q = 10.\n", "rheologies = {\n", " 'maxwell': ('Maxwell (Traditional Method)', 'k'),\n", " 'burgers': ('Burgers', 'r'),\n", " 'andrade': ('Andrade', 'b'),\n", " 'sundberg': ('Sundberg-Cooper', 'm')\n", "}\n", "orbit_by_rheo = {}\n", "\n", "r_i = 0\n", "for rheo_model, (rheo_name, rheo_color) in rheologies.items():\n", " \n", " # Build a new Io assuming its mantle has this new rheology.\n", " # Note: Building a whole new world just to see the difference in\n", " # in rheology is overkill - this is just a demonstration.\n", " new_config = {'layers': {'Mantle': {'rheology': {'model': rheo_model}}}}\n", " io = build_from_world(io_base, new_config=new_config)\n", " \n", " # Set fixed q if that model is being used\n", " if rheo_model.lower() in ['fixed_q']:\n", " io.tides.set_fixed_q(fixed_q, run_updates=False)\n", " \n", " # Load in temperatures and make tidal calculations\n", " io.mantle.temperature = temperature\n", " \n", " # Add orbit with jupiter (load in default orbital configurations based on Io's config)\n", " sol = build_world('sol')\n", " jupiter = build_world('jupiter')\n", " orbit = Orbit(star=sol, tidal_host=jupiter, tidal_bodies=io)\n", " # Set orbits time to initialize the world's radiogenic heating\n", " orbit.time = 4600. # 4600. Myr after solar system formation is roughly modern.\n", " \n", " # Store the orbit by rheology\n", " orbit_by_rheo[(rheo_name, rheo_color)] = orbit\n", " \n", " # Plot results\n", " ax2.plot(temperature, io.tidal_heating_global, label=rheo_name, color=rheo_color)\n", " \n", " # Plot convective cooling and radiogenics\n", " if r_i == 0:\n", " if plot_convection:\n", " ax2.plot(temperature, io.mantle.cooling, label='Convective Cooling', color='y', ls=':')\n", " \n", " if plot_radiogenics:\n", " ax2.plot(temperature, io.mantle.radiogenics.heating * np.ones_like(io.mantle.cooling),\n", " label='Radiogenic Heating', color='g', ls=':')\n", " \n", " r_i += 1\n", " \n", "ax2.legend(loc='best')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Calculate Tidal Heating as a Function of Strength\n", "The specific viscosity and shear modulus relationships used in the above example are full of uncertainties. Especially since we did not consider presssure dependence.\n", "However, the relationship between tidal heating and viscosity and shear modulus is less uncertain (still lots more work needed!). Let us look at that phase space, ignoring temperature" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Vary Andrade Parameters\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "556f984096cf407c95dafa5cc0202ba8", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(FloatSlider(value=0.3, description='$\\\\alpha$', max=1.0, step=0.05), FloatSlider(value=0…" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "6128b2699a2d48a8a57e5e7e4fe65e8e", "version_major": 2, "version_minor": 0 }, "image/png": 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", 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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Setup Plot\n", "fig3, axis_set = plt.subplots(nrows=2, ncols=2, sharex='all', sharey='all')\n", "((ax3_1, ax3_2), (ax3_3, ax3_4)) = axis_set\n", "axes = [ax3_1, ax3_2, ax3_3, ax3_4]\n", "\n", "viscosity_array = np.logspace(8, 22, 100)\n", "shear_array = np.logspace(4, 14, 110)\n", "\n", "# We eventually want a 2D matrix to plot the results, \n", "# but currently TidalPy relies on numba which does not support 2D arrays - so we will need\n", "# to flatten them before calculations.\n", "viscosity_mtx, shear_mtx = np.meshgrid(viscosity_array, shear_array)\n", "shape = viscosity_mtx.shape\n", "viscosity_mtx_flat = viscosity_mtx.flatten()\n", "shear_mtx_flat = shear_mtx.flatten()\n", "\n", "# Colorbar slices\n", "colorbar_points = np.linspace(10, 16, 13)\n", "colorbars = dict()\n", "\n", "# Use the orbits constructed in the last example\n", " \n", "def update_fig(andrade_alpha=0.3, andrade_zeta_power=0.):\n", " \n", " andrade_zeta = 10. ** andrade_zeta_power\n", " \n", " i = 0\n", " for (rheo_name, rheo_color), orbit in orbit_by_rheo.items():\n", " \n", " # Use the orbits constructed in the last example\n", " io = orbit.tidal_objects[1]\n", " # Change the andrade parameters based on the interactive interface\n", " io.mantle.config['rheology']['alpha'] = andrade_alpha\n", " io.mantle.config['rheology']['zeta'] = andrade_zeta\n", " io.mantle.reinit()\n", " \n", " # Set thermal state\n", " io.mantle.temperature = None # Clear the temperature set in the previous cell.\n", " io.mantle.set_strength(viscosity=viscosity_mtx_flat, shear_modulus=shear_mtx_flat)\n", " \n", " # Pull out tidal heating and convert the shape\n", " tidal_heating = io.tidal_heating_global\n", " tidal_heating = np.log10(tidal_heating.reshape(shape))\n", "\n", " # Plot results\n", " axes[i].clear()\n", " cb_data = axes[i].contourf(viscosity_array, shear_array, tidal_heating, colorbar_points)\n", " axes[i].set_title(rheo_name)\n", "\n", " # Plot what the current melting model would produce\n", " axes[i].plot(io_visco_vs_temp, io_shear_vs_temp, color='k', ls='--')\n", "\n", " if i in [1, 3]:\n", " if i not in colorbars:\n", " cb = plt.colorbar(cb_data, ax=axes[i])\n", " cb.set_label('Tidal Heating [log$_{10}$ W]') \n", " colorbars[i] = cb\n", " else:\n", " cb = colorbars[i]\n", " cb.update_normal(cb_data)\n", " i += 1\n", " ax3_1.set(xlabel='', xscale='log', ylabel='Shear Modulus [Pa]', yscale='log',\n", " ylim=(1e4, 1e14), xlim=(1e8, 1e22))\n", " ax3_2.set(xlabel='', xscale='log', ylabel='', yscale='log',\n", " ylim=(1e4, 1e14), xlim=(1e8, 1e22))\n", " ax3_3.set(xlabel='Viscosity [Pa s]', xscale='log', ylabel='Shear Modulus [Pa]', yscale='log',\n", " ylim=(1e4, 1e14), xlim=(1e8, 1e22))\n", " ax3_4.set(xlabel='Viscosity [Pa s]', xscale='log', ylabel='', yscale='log',\n", " ylim=(1e4, 1e14), xlim=(1e8, 1e22))\n", "\n", "\n", "print('Vary Andrade Parameters')\n", "interact(update_fig,\n", " andrade_alpha=widgets.FloatSlider(min=0.0, max=1.0, step=0.05, description='$\\\\alpha$', value=0.3),\n", " andrade_zeta_power=widgets.FloatSlider(min=-10., max=10., step=1, description='$\\\\zeta=10^{x}$', value=0.))" ] } ], "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 }