{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from em_examples import DCLayers\n", "from IPython.display import display\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Purpose\n", "\n", "## Investigating DC Resistivity Data \n", "\n", "Using the widgets contained in this notebook we will explore the physical principals governing DC resistivity including the behavior of currents, electric field, electric potentials in a two layer earth. \n", "\n", "The measured data in a DC experiment are potential differences, we will demonstrate how these provide information about subsurface physical properties. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Background: Computing Apparent Resistivity\n", "\n", "In practice we cannot measure the potentials everywhere, we are limited to those locations where we place electrodes. For each source (current electrode pair) many potential differences are measured between M and N electrode pairs to characterize the overall distribution of potentials. The widget below allows you to visualize the potentials, electric fields, and current densities from a dipole source in a simple model with 2 layers. For different electrode configurations you can measure the potential differences and see the calculated apparent resistivities. \n", "\n", "In a uniform halfspace the potential differences can be computed by summing up the potentials at each measurement point from the different current sources based on the following equations:\n", "\n", "\\begin{align}\n", " V_M = \\frac{\\rho I}{2 \\pi} \\left[ \\frac{1}{AM} - \\frac{1}{MB} \\right] \\\\\n", " V_N = \\frac{\\rho I}{2 \\pi} \\left[ \\frac{1}{AN} - \\frac{1}{NB} \\right] \n", "\\end{align} \n", "where $AM$, $MB$, $AN$, and $NB$ are the distances between the corresponding electrodes. \n", "\n", "The potential difference $\\Delta V_{MN}$ in a dipole-dipole survey can therefore be expressed as follows,\n", "\n", "\\begin{equation}\n", " \\Delta V_{MN} = V_M - V_N = \\rho I \\underbrace{\\frac{1}{2 \\pi} \\left[ \\frac{1}{AM} - \\frac{1}{MB} - \\frac{1}{AN} + \\frac{1}{NB} \\right]}_{G}\n", "\\end{equation}\n", "\n", "and the resistivity of the halfspace $\\rho$ is equal to,\n", "\n", "$$\n", " \\rho = \\frac{\\Delta V_{MN}}{IG}\n", "$$\n", "\n", "In this equation $G$ is often referred to as the geometric factor. \n", "\n", "In the case where we are not in a uniform halfspace the above equation is used to compute the apparent resistivity ($\\rho_a$) which is the resistivity of the uniform halfspace which best reproduces the measured potential difference.\n", "\n", "In the top plot the location of the A electrode is marked by the red +, the B electrode is marked by the blue -, and the M/N potential electrodes are marked by the black dots. The $V_M$ and $V_N$ potentials are printed just above and to the right of the black dots. The calculted apparent resistivity is shown in the grey box to the right. The bottom plot can show the resistivity model, the electric fields (e), potentials, or current densities (j) depending on which toggle button is selected. Some patience may be required for the plots to update after parameters have been changed." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# LayeredEarth app\n", "\n", "## Parameters:\n", "\n", " - **A**: (+) Current electrode location\n", " - **B**: (-) Current electrode location\n", " - **M**: (+) Potential electrode location\n", " - **N**: (-) Potential electrode location\n", " - **$\\rho_1$**: Resistivity of the first layer\n", " - **$\\rho_2$**: Resistivity of the second layer\n", " - **h**: Thickness of the first layer\n", " - **Plot**: Choice of 2D plot (Model, Potential, Electric field, Currents)\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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RmZcJwIUdL+S/V/0XH60vWOtu7n8zN/a9EYCCkgImzZnExn0bHY5KREREREQa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NAAAg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\nVxTW2HXunbSVJEma1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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "out = DCLayers.plot_layer_potentials_app()\n", "display(out)" ] }, { "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": { "d1e777f115314ea497dca383d1bc4d52": { "views": [ { "cell_index": 4 } ] } }, "version": "1.2.0" } }, "nbformat": 4, "nbformat_minor": 0 }