{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from em_examples.DC_cylinder import *\n", "from IPython.display import display\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Purpose \n", "\n", "For a direct current resistivity (DCR) survey, currents are injected to the earth, and flow. \n", "Depending upon the conductivity contrast current flow in the earth will be distorted, and these changes \n", "can be measurable on the sufurface electrodes. \n", "Here, we focus on a cylinder target embedded in a halfspace, and investigate what are happening in the earth when static currents are injected. Different from a sphere case, which is a finite target, \"coupling\" among Tx, target (conductor or resistor), and Rx will be significanlty different upon various scenarios. \n", "By investigating changes in currents, electric fields, potential, and charges upon different geometry of cylinder and survey, Tx and Rx location, we understand geometric effects of the target for DCR survey. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Setup" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Question" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- Is the potential difference measured by a dipole over a conductive (/resisitive) target higher or lower compared to the half-space reference?\n", "- how do the field lines bend in presence of a conductive (/resistive) target?\n", "- Compared to the positive and negative sources (A and B), how are oriented the positive and negative accumulated charges around a conductive (/resistive) target?\n", "- How would you describe the secondary fields pattern? Does it remind you one fundamental object of electromagnetics?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Cylinder app\n", "\n", "## Parameters:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " - **survey**: Type of survey\n", " - **A**: (+) Current electrode location\n", " - **B**: (-) Current electrode location\n", " - **M**: (+) Potential electrode location\n", " - **N**: (-) Potential electrode location\n", " - **r**: radius of cylinder\n", " - **xc**: x location of cylinder center\n", " - **zc**: z location of cylinder center\n", " - **$\\rho_1$**: Resistivity of the halfspace\n", " - **$\\rho_2$**: Resistivity of the cylinder\n", " - **Field**: Field to visualize\n", " - **Type**: which part of the field\n", " - **Scale**: Linear or Log Scale visualization" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "image/png": 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0QtJXUuli7e9LesUwjBsNw+gu6QNJG0zT3FLV38ddxZ6L1UPzH1L61+myOW16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\nrAULFuTp3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7PjLYLL1vuKq0V6aZKzklyX5LAkb6iq27TWXr+6ywIA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\nAAAAAIYkuAIAAABgSIIrAAAAAIb0/6imqtBnn1apAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "app = cylinder_app()\n", "display(app)" ] }, { "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": { "6ded20fdcf7f47919b01788041f6cf8b": { "views": [ { "cell_index": 8 } ] } }, "version": "1.2.0" } }, "nbformat": 4, "nbformat_minor": 2 }