{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Modelling fluid inclusion stretching during simple isothermal ascent\n", "- This notebook shows how to model the stretching of CO2 dominated fluid inclusions in olivine using python tool RelaxiFI (DeVitre and Wieser, 2023; EarthArXiv), implemented in DiadFit. Note that this tool is not designed to model FI with fluids other than CO2 at this time, or those in phases other than olivine. It is based on the model of Wanamaker and Evans, 1989.\n", "- In this example (presented in the DiadFit paper), we model the stretching of a 1 micron radius pure CO2 fluid inclusion, 100 microns away from the crystal rim during ascent from 10km depth to the surface. We consider an ascent rate of 1 m/s (~0.03 MPa/s - equivalent to a Hawaiian style eruption) and a temperature of 1200 degrees celsius." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## First, make sure CoolProp is installed if using the Span and Wagner 1996 equation of state\n", "- You only need to run this once. If you do not wish to use CoolProp, or face installation problems, please use 'SP94' instead of 'SW96'\n", "- If you have Python installed through Anaconda, you may want to install through your conda command line 'conda install conda-forge::coolprop'. Else you can use 'pip install CoolProp' as below. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "#!pip install CoolProp\n", "#!pip install --upgrade DiadFit" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Next import the necessary packages, including DiadFit" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'0.0.91'" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import DiadFit as pf\n", "pf.__version__" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Now let's model stretching and evaluate how density, pressure and radius change" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### First, set the initial conditions" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Temperature in Kelvin (Here 1200 degrees Celsius converted to Kelvin)\n", "T_K = 1200 + 273.15 \n", "\n", "# radius of the FI in meters (here 1 micron)\n", "R_m = 1 * 10**-6 \n", "\n", "# distance to the crystal edge or crack (here 100 microns)\n", "b_m=100*10**-6 \n", "\n", "# ascent rate in m/s\n", "ascent_rate_ms=1 \n", "\n", "#This defines the starting depth, ending depth and the number of steps in the path. More steps is better, especially for slow ascent rates.\n", "depth_path_ini_fin_step=[10,0,20] \n", "\n", "# the configuration of your crustal model, here we set a single crustal density for the\n", "# whole path; you can call help (pf.config_crustalmodel) for more options \n", "crustal_model_config=pf.config_crustalmodel(crust_dens_kgm3=2750)\n", "\n", "# Equation of state for CO2 (SW96 or SP94) if using SW96, ensure CoolProp is installed\n", "EOS='SW96' \n", "\n", "# Whether to plot the figure or not\n", "plotfig=True \n", "\n", "# Whether to update b as the radius of the FI changes\n", "update_b=False \n", "\n", "# Whether to report all the results, only the first and last step or only the last step\n", "report_results='fullpath' " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Now run the model\n", "- Note that the decrease in density for the conditions of our model is very small (< 1%), in fact much smaller than the uncertainty in any measurement that could be made. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "c:\\users\\penny\\box\\berkeley_new\\diadfit_outer\\src\\DiadFit\\relaxifi.py:434: FutureWarning: Setting an item of incompatible dtype is deprecated and will raise in a future error of pandas. Value '526.315789473685' has dtype incompatible with int64, please explicitly cast to a compatible dtype first.\n", " results.loc[i] = [dt_s*i, i, dt_s, Pexternal, Pinternal_MPa, dR_dt, R_m * 10 ** 6, b_m * 10 ** 6,\n" ] }, { "data": { "image/png": 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Time(s)Stepdt(s)Pexternal(MPa)Pinternal(MPa)dR/dt(m/s)Fi_radius(μm)b (distance to xtal rim -μm)ΔR/R0 (fractional change in radius)CO2_dens_gcm3Depth(km)
00.00000000.000000269.775000269.7750000.000000e+001.0100.0NaN0.56807210.000000
1526.3157891526.315789255.576316269.7749991.446726e-181.0100.07.614349e-100.5680729.473684
21052.6315792526.315789241.377632269.7749861.754262e-171.0100.09.994390e-090.5680728.947368
31578.9473683526.315789227.178947269.7749317.551312e-171.0100.04.973814e-080.5680728.421053
42105.2631584526.315789212.980263269.7747772.127162e-161.0100.01.616940e-070.5680727.894737
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" ], "text/plain": [ " Time(s) Step dt(s) Pexternal(MPa) Pinternal(MPa) \\\n", "0 0.000000 0 0.000000 269.775000 269.775000 \n", "1 526.315789 1 526.315789 255.576316 269.774999 \n", "2 1052.631579 2 526.315789 241.377632 269.774986 \n", "3 1578.947368 3 526.315789 227.178947 269.774931 \n", "4 2105.263158 4 526.315789 212.980263 269.774777 \n", "\n", " dR/dt(m/s) Fi_radius(μm) b (distance to xtal rim -μm) \\\n", "0 0.000000e+00 1.0 100.0 \n", "1 1.446726e-18 1.0 100.0 \n", "2 1.754262e-17 1.0 100.0 \n", "3 7.551312e-17 1.0 100.0 \n", "4 2.127162e-16 1.0 100.0 \n", "\n", " ΔR/R0 (fractional change in radius) CO2_dens_gcm3 Depth(km) \n", "0 NaN 0.568072 10.000000 \n", "1 7.614349e-10 0.568072 9.473684 \n", "2 9.994390e-09 0.568072 8.947368 \n", "3 4.973814e-08 0.568072 8.421053 \n", "4 1.616940e-07 0.568072 7.894737 " ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "results = pf.stretch_in_ascent(R_m=R_m, b_m=b_m,T_K=T_K,ascent_rate_ms=ascent_rate_ms,\n", " crustal_model_config=crustal_model_config,\n", " depth_path_ini_fin_step=depth_path_ini_fin_step,\n", " EOS=EOS,plotfig=plotfig,update_b=update_b,report_results=report_results)\n", "\n", "results.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### We can then replot and save the figure" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.rcParams['pdf.fonttype'] = 42\n", "plt.rcParams['ps.fonttype'] = 42\n", "\n", "fig, (ax0,ax1) = plt.subplots(1,2, figsize=(10,3))\n", "ax0.plot(results['Depth(km)'],results['\\u0394R/R0 (fractional change in radius)'],marker='s',label=f\"Ascent Rate = {ascent_rate_ms} m/s\")\n", "ax0.set_xlim([depth_path_ini_fin_step[0],depth_path_ini_fin_step[1]])\n", "ax0.set_xlabel(\"Depth (km)\")\n", "ax0.set_ylabel('\\u0394R/R0 \\n(fractional change in radius)')\n", "\n", "ax1.plot(results['Depth(km)'],results['CO2_dens_gcm3'],marker='s',label=f\"Ascent Rate = {ascent_rate_ms} m/s\")\n", "ax1.set_xlim([depth_path_ini_fin_step[0],depth_path_ini_fin_step[1]])\n", "ax1.set_xlabel(\"Depth (km)\")\n", "ax1.set_ylabel(\"CO$_2$ density (g/cm$^{3}$)\")\n", "ax0.legend(loc='best')\n", "ax1.legend(loc='best')\n", "fig.tight_layout()\n", "plt.show()\n", "fig.savefig(\"fig4diadfit_paper_relaxifi.png\", dpi=300)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "RelaxiFI_env", "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": "3.11.5" }, "orig_nbformat": 4 }, "nbformat": 4, "nbformat_minor": 2 }