{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "from em_examples.CondUtils import ColeColePelton, vizColeCole\n", "from em_examples.FreqtoTime import transFilt\n", "import matplotlib\n", "from ipywidgets import interact, FloatText, FloatSlider, ToggleButtons\n", "from IPython.display import display\n", "%pylab inline\n", "matplotlib.rcParams['font.size'] = 16" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Title: Complex conductivity and resistivity" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Purpose\n", "\n", "Using a simple Cole-Cole model, we parameterize complex resistivity with four parameters: resistivity at zero frequency ($\\rho_0$), chargeability($\\eta$), time constant ($\\tau$), and frequency dependence ($c$). Based upon those parameters, we understand how resistivity and conductivity changes when medium is chargeable both in frequency domain and time domain." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Set up\n", "\n", "Pelton's Cole-Cole model for resistivity and conductivity can be written as \n", "\n", "$$ \\rho(\\omega) = \\rho_0 \\Big[1 - \\eta \\Big(1-\\frac{1}{1+(\\imath\\omega\\tau)^c}\\Big) \\Big] $$\n", "\n", "and\n", "\n", "$$ \\sigma(\\omega) = \\sigma_{\\infty}\\Big(1-\\frac{\\eta}{1+(1-\\eta)(\\imath\\omega\\tau)^c} \\Big) $$\n", "\n", "respectively. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Cole-Cole app\n", "\n", "## Parameters\n", "\n", "- $\\sigma_1$: Conductivity of the first layer (S/m)\n", "\n", "- $\\sigma_2$: Conductivity of the first layer (S/m)\n", "\n", "- $f$ (Hz): Frequency (Hz)\n", "\n", "- Type: \n", "\n", " - Reflection: Transmission power as a function of incident angle \n", " - Transmission: Transmission power as a function of incident angle \n", " - Angle: relationship between $\\theta_i$ and $\\theta_t$" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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lKSKSVH8lKIZloi+AivT4d/6j+iWtar+EoHAdzWP9+W1+LmHF+CVF2oqIiIik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\nSzWfuzoxeQ9W/WdpIjNraWZvmVmtmR1V6vLkk5ntHcWVnN4qd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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "interact(vizColeCole, eta=FloatSlider(min=0.1, max=0.5, step=0.05, value=0.4), \n", " tau=FloatText(value=0.1), \n", " c=FloatSlider(min=0.1, max=1., step=0.1, value=0.5), \n", " sigres = ToggleButtons(options=['sigma','resis']), \n", " t1=FloatText(value=800), \n", " t2=FloatText(value=1400), \n", " )" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python [default]", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.12" }, "widgets": { "state": { "6a2fcd9221824e92aa1f285d67c9e8b4": { "views": [ { "cell_index": 5 } ] } }, "version": "1.2.0" } }, "nbformat": 4, "nbformat_minor": 0 }