{ "cells": [ { "cell_type": "markdown", "metadata": { "extensions": { "jupyter_dashboards": { "version": 1, "views": { "grid_default": { "col": 0, "height": 6, "hidden": true, "row": 0, "width": 12 }, "report_default": {} } } }, "nbpresent": { "id": "e3a4dd9c-3f24-48d6-ad9b-4edbe3248df9" } }, "source": [ "This is the Jupyter Notebook, an interactive coding and computation environment. For this lab, you do not have to write any code, you will only be running it. \n", "\n", "To use the notebook:\n", "- \"Shift + Enter\" runs the code within the cell (so does the forward arrow button near the top of the document)\n", "- You can alter variables and re-run cells\n", "- If you want to start with a clean slate, restart the Kernel either by going to the top, clicking on Kernel: Restart, or by \"esc + 00\" (if you do this, you will need to re-run the following block of code before running any other cells in the notebook) " ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true, "extensions": { "jupyter_dashboards": { "version": 1, "views": { "grid_default": { "hidden": true }, "report_default": {} } } }, "nbpresent": { "id": "c59bfd9b-4293-433e-83db-820c33f4c378" } }, "outputs": [], "source": [ "%matplotlib inline\n", "from IPython.display import display\n", "from em_examples.PlanewaveWidgetTD import PlanewaveWidget, InteractivePlaneProfile\n", "from em_examples.VolumeWidgetPlane import InteractivePlanes, plotObj3D" ] }, { "cell_type": "markdown", "metadata": { "extensions": { "jupyter_dashboards": { "version": 1, "views": { "grid_default": { "col": 0, "height": 4, "hidden": true, "row": 6, "width": 4 }, "report_default": {} } } }, "nbpresent": { "id": "95f1e819-0749-42ff-ad94-6d428298a5a7" } }, "source": [ "# Planewave propagation in a Whole-space (time-domain)" ] }, { "cell_type": "markdown", "metadata": { "extensions": { "jupyter_dashboards": { "version": 1, "views": { "grid_default": { "col": 4, "height": 4, "hidden": true, "row": 6, "width": 4 }, "report_default": {} } } }, "nbpresent": { "id": "3bd63ed4-b758-48e5-a662-b68e4b2ce034" } }, "source": [ "# Purpose\n", "\n", "We visualizae downward propagating planewave in the homogeneous earth medium with impulse excitation. With the two apps: a) Plane wave app and b) Profile app, we understand fundamental concepts of planewave propagation in time-domain. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Set up\n", "\n", "Planewave EM solutions for homogeneous earth with impulse exictation can be expressed as\n", "\n", "$$\\mathbf{e}(t) = -E_0 \\frac{(\\mu\\sigma)^{1/2}z}{2 \\pi^{1/2} t^{3/2}} e^{-\\mu\\sigma z^2 / (4t)} \\mathbf{u_x}$$\n", "\n", "$$ \\mathbf{h}(t) = E_0 \\sqrt{\\dfrac{\\sigma}{\\pi\\mu t}}\\, e^{-\\mu\\sigma z^2/4t} \\, \\mathbf{u_y} $$\n", "\n", "Note that this dervation based upon quasi-static approximation, which ignores displacement currents. For detailed derivation see EM geosci. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "extensions": { "jupyter_dashboards": { "version": 1, "views": { "grid_default": { "col": 8, "height": 21, "hidden": false, "row": 0, "width": 4 }, "report_default": {} } } }, "nbpresent": { "id": "baf63d98-9356-4c2d-81d7-8f8cd1a6da2d" } }, "outputs": [ { "data": { "image/png": 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dqebzY5sPlBU7Xq8X/f3DOP30i7BnjxNWq2PWlcFLLvk8ZHl6+7NM5Oh112Hd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BkVNXHC7/dz1llnUVJSwvLly7nuuuuoqKjg1ltvpbCwUFtXUZReu5ayQqYH9PXB17YWjCAIWtBf\nKkkni8yll17KvKlTOWXKlD6dbzXmKBgMIisKJqNR61GidgXvFw4vLZpypo0/GqPeyMYd6yH6Ir9p\n1/qI22n0FAw6I6IUsdjMmXIskiyxdc83lJaMx2lzavtZvOBsfnDSBXH7vuC7F3Pdg1fx0v8+x4Xf\nuwRBEMh15DF/2kI+3/wpvoAPm8Wmrf/h2vcx6o2cMvdUAIKhAL9/8R6mj5/JIze3BiSffdwPKC0Z\nx5/feJTvn3QB08Yd3e57XXnWUvJzWrM9tu3dy6r772fRvEisz1XnnMPNjzzC02+/zduffcY5xx8f\nWTH6cjA0L4+3H3pIu4dkRWHH3r385c03WTB9Oqvuu09LDb/g5JNZePXVLPvDH9j4wgvodDrt/thW\nXp7QcU+aPZtvXnkl7jtce955/OTuu3n23Xe59ZJLyLXbAXjopZc41NjI8ytW8P0TTwTgy23b+Ka8\nnKampnbn4p133sFqje87deGFF7Jw4UKefPJJfv/730e+xwUXsGLFCoqKijj//PPb7actoihyyy23\nkJOTw6effqo9VK+++mpOO+00HnzwQS6++GJGj26tOl1XV8ddd93F0qVLtYdufn4+d999N5999hnH\nq79DP5EJMTIq4XBYe74pisKsWbNYtWoV11xzDQ8++CC7du1i5cqVjBkzBilaMbu3Ii3rWhoA2taC\nsVqt5OXlpawhnUo6WoCefPJJfnj66X3ahyiKeL1e/IEAumj7BqvVqmUs9Nf3jhTzSx9ReDhgNpo5\ncuxR7KzYTjAUMVdv3rWRo8YdjU6nY9TwMeQ589kUdS9t37uNQMjPrMnxlgfVWgMQCodo9rpp9ro5\nZup8WnwtHDhUoX1+2vwzCYaDfLz+39oyX8DLf7/+lPnTj9MCiL/c9gXNHjdnLDgLt8cV9zfvqAUo\nKKzbtrbT7xZ7mR45ZowmJlSWX3wxiqLw7meftdlO4Lrzz4+7znWCwAdr1iAIArdccknknrBYMJtM\njBo+nIsWLWJfdTWbdu4kEAzij5r+J48ezUmzZ8dlTHV0XHPMAygsijS1tNDgdnPK3LlIssymmLTa\nD7/4gpKhQzURA/DwDTfw6N13d3geYkVMS0sLDQ0Nmotp/fr1nZ6/7tiwYQPV1dVcccUVmoiBiFVr\n2bJlSJLEBx98ELeNwWDgJz/5Sdyy448/HkVR2LNnT6/HkiiqOEhn1OtOkiTN06Ba34cM+f/snXec\nFOX9xz9Ttu81hAPu6AeCIFWQKkZFMYggiSAqgmKwE1QwQY0xAUV/MYpgiRpBJShYYgkRG3ZERLAT\nRAWld+6OvS2zU57fH1OY7eV2d2bv5v168TrdnZ15ZnbneT7zrSfghRdewA033IBVq1Zh9OjR2Lx5\nM3glhivbc7MsMnlEjYFRLQAOhyNmQTWTNaTQxDv/Pn364GefL6vrIioWL0HpTO0pUCq3yqV33IGh\nvc9C+zN7JNym+X7bx9m6Ywu++P7ziNcEUcDn/1uPgScNzlhoDug+EN/+9BW++ekrDOgxCN/+9DWm\njpmuvd+na398sVVe8L78QYmPOTFSyARCASz5z2P4YNMaHKo7GPEeBQq+gE/7/6G9R6DMW44317+O\n80bIZqD3Nr6DMB/GuUPO07bbsf9nEBDctfTPccdNgcJR35G47xFCQOnMe911VgGV6spKeF0u/BKn\npUdNnAwgdbsenTrJx1cK+TEMg141cluNfUeO4JSTTtIWlm7t22vp4PKYgVbl5fC6XPh5714tC08Q\nBNy3fDmef+cdbFde186TolDX0KC7LvsxvG+kFcpht6Nd27bwer0x4/7yyy9x11134dNPP4XfHxkU\n3rVr9o01d+zYAYqi0L1795j3TjrpJADAL7/8EvF6VVVVzJzSokULAHJwa74ptsq++urz+pjMxYsX\no0OHDliwYAGGDBmCq666CoAlZEyFGpcRDAYhSRLsdjtcLldaFWKNwExiKpsAZEmSwHEcwjwPCoDL\n6cyumF0jqWrVCk6HK+57ZrR+GcGOfT/jqgVTIZHIAFBREnHzg9fj3usXYnjfzMzz/bsPxNOv/xNf\nbt0Et9OjZCQdj3/p260//vHvRQhxQXy5dRMoikLfbpFBn3c+MRef/289xp9+IXrX9EWZtww0TeOT\nrz/Cv997PmK8LMPirEHn4NUPXsL+I/vQ5oS2ePPT11HqLcOQ3sO17QiRxcrMSTejc3X8/lutyitj\nXhMlEV9u3YQBPbwgpCqja6HizjLWQJ8xBchp3i6nU2ugKRECSRRBILurgqEQKAB/ePhhPP3665h0\n1ln4w9SpqKyoAMuy2LRlC/765JMgSQKbgcT3+86dOzFmzBi0aNECt956K2pqarSioHPmzGlUNdhk\nx01Esjm8EPNoMcTIqHOdz+eL+/1QFAVJkjBnzhyceOKJuP7667Fw4UIAsGJkzECmtWCMtsiYcXGl\nKEr286exbXRnaqdSPdWo8/r7rFnYsDnzNOJMISjeUJwvtn4eI2L0bNj8acZC5uSaPrCzdny5dSPc\nTjecdid6dOqpvd+v2wCIoogvtm7Ed9u+Qbf23eHVxccc89fjs83rMHbEBbjp4j9E7Hv9t5/EPeav\nh56Pl99/AW+tfx2jh5yHb3/6Cr898yKwzPF7vX1lexAQOB0unNLj1LTPJ8yHMX/pn3Dnldfg9P69\nAABbd+yI2W7PwYNoCAbRqW3btPbbuUoWRVt+/hntKiMF1Bal47y6jcpWxWqhLya3p7YW/mAQXaqr\nYbfZIBGCl957D6f164eH5swBcLw7+Gadu0W9pzu0bo1tu3dHHIdADgJu0FluADk+JhgMYunSpRg8\neHDEe0eOHEFZWWQdoEzu/U6KZSpesTY1I0rdJhqrjkxqrrjiCvTtGxv/BUCLwxo3bhxOPPFETJo0\nCT/88EPWFnQrRiZHWLVgcsPDDz+M/773XlKBpwrGhoYGhEIh2Gw2lHi9aTfRzJeANFqYFgPdO/ZM\n/n6nkzLep421oVdNH2zduQXrvvkYvbr0iRAUnatqUOIpxYq3/yVnM3U/JeLzNCVPg9EC61DtQaxe\ntyrBeZyETm274K31q/HWernQ2midWwkAhvQegVJPGZa/8VSEa0qF4zkEQoGY1x02B564dRlO63+8\nzs2WX37Bm1FZMfc/9xwoisL5aQaYnjd8OAgheHDlSi24EpBTp1e8/Ta6VFXh5JpIy1Gy444bOVKu\nUmyzKZWJKTiVuBuGZeELBPCYUjdEVCwyHMfhnCFDsOfQIfz7/fe1++VPjz2GW++5J2bMqniKTuF+\n8sknceRIrFvO4/Ggrq4uretxyimnoKqqCsuWLYvYF8/zWLx4MRiGwZgxY2I+Z3QdGbNbZFSWLFmC\n008/PeH76lzdo0cPfPbZZ9iwYUPW66W1ymZAvEVSFEUEAgHwPA9GCSw1wq2RDUbXkUmUfm1P0mws\nojM1y8LtcJjKZVcEX7uh9Ox8MgZ0H6jFrOiprGiNs0/NLtB7QPeB+HLrRmze/i2mj7s65v2+3frj\n468+AAUKA7pHxsd43SU4pcepeHPdf2FjbOje8STsP7IXr330MqpbtcPWHVti9gfIQb+PvbwYK9/+\nFzq17YzuHSNFmMvhwp+umIc/PXYLLr3jNxgz/HxUt2oPX8CHHft+xkdfvY+/zVwUk7VE0zRalJ0A\nl+Ow9trJXbrginnzcMX556NzVRXe37QJqz7+GGcOHHg8YykFPTp1wsxJk/Dwiy/i3FmzMOFXv8Ix\nvx9LV61CKBzGwptuivlMuscdP3Iklr3xBq6cPx+nDxiA/UeOYPkbb6BleTl27N8Pmjoe8fP7iRPx\n8vvv46q778a6r79G13btsO7rr7H/4EFUVFREzJ2jR4/GvHnzcOWVV2LGjBkoLS3Fp59+ivfeey8i\nm0hl0KBBWLFiBRYsWIBu3bqBpmmMHTs2rhWDYRjcd999mDZtGk4//XRMmzYNbrcbL730Er788kvM\nnTs37jGMhOM4eJTsr6aEy+VCnz59sv68JWSyRK0FEw6HQdN0VrVgrCf4WO6//378+MknMddFlCRw\noRB4JZDX7XKZrsLllu3bUXuMRbvYsAcLHZePvSqukJk65krY2Oy+0/7dB4ICFVMfRqXfiQOw9qsP\nwTBMTHwMAPxlxgL84+XFWPv1h3jz0/+iXWUHXPvb30OSJNz3r/i1Xs4Z/Gs88crDCHJBnDtsbNxt\nhvQejn/e/i8sf+NpvL3+DdQ31MHrLkG7yva4dPQ0dG7bJfFJ6eaSAT164K5rrsG8JUvw5GuvodTj\nwfUXXog7Z8xIcWUiWXDddejWvj2efO013PnEE7DbbDi1Z0/cevnlOLVXr5jt0z3ufbNmoaykBK98\n8AH+u3Yt2rVujasmTMDJXbrggj/8QXNPORwOtG/bFmseeQS3PvIInnvrLVAUhSEnn4xbfv973HDH\nHbDZbAgEAqBpGu3bt8cLL7yAu+++G/fffz8YhsHQoUPx5ptvYubMmTh06FDEOP7yl7/A5/Ph8ccf\n1wqNbtmyBW0V91v0/Dx27Fi89tpruO+++7Bo0SIIgoDu3bvj0UcfxSWXXBLnK4k/vxcqA7UYspaM\ngMpgIW32K64aVKqvBeNyudJ2aUTj88nm5pKSkhRb5gdRFFFfX1/QasJ6jh07BpqmIzIVGhoa8MPa\ntehVVganUn+A4zhw4TAoAA6nE/ZGWrw4jgPHcSgtLc3BWRyn7bnn4txhYzBz0q0x74miiKCSep9t\nOwRCiFZ+ni6Q6SesWMdyPXledPt47D10PE7CaXdi9YMfZC1kEhHiOLAMU3Qu3gNH96Oq1RH06NAW\nJ5xzDqadd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Kf36wdIOyFKIjwuD9gsqvI2N3Yd2IlDdQfhDzZEvK65pRgGsn2O1fpKyYX8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\nAzp3urW0tESLFi0QHx+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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plotObj3D()" ] }, { "cell_type": "markdown", "metadata": { "extensions": { "jupyter_dashboards": { "version": 1, "views": { "grid_default": { "col": 8, "height": 14, "hidden": true, "row": 14, "width": null }, "report_default": {} } } }, "nbpresent": { "id": "4cca45b8-6d74-43f2-b3aa-2f1f3ece54f3" } }, "source": [ "# Planewave app\n", "\n", "## Parameters:\n", "\n", "- Field: Type of EM fields (\"Ex\": electric field, \"Hy\": magnetic field)\n", "- Time: Time (s)\n", "- Sigma: Conductivity of homogeneous earth (S/m)\n", "- Scale: Choose \"log\" or \"linear\" scale \n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "extensions": { "jupyter_dashboards": { "version": 1, "views": { "grid_default": { "col": 0, "height": 21, "hidden": false, "row": 0, "width": 8 }, "report_default": {} } } }, "nbpresent": { "id": "d4efa881-fa5c-4ecc-87b0-47f53e865a5f" } }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "e1e1f1bbf27d42aa9ca3f1bc9a6de7e7" } }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dwidget = PlanewaveWidget()\n", "Q = dwidget.InteractivePlaneWave()\n", "display(Q)" ] }, { "cell_type": "markdown", "metadata": { "extensions": { "jupyter_dashboards": { "version": 1, "views": { "grid_default": { "col": 4, "height": 4, "hidden": true, "row": 13, "width": 4 }, "report_default": {} } } } }, "source": [ "# Profile app\n", "\n", "We visualize EM fields at vertical profile\n", "\n", "## Parameters:\n", "\n", "- **Field**: Ex, Hy, and Impedance \n", "- ** $\\sigma$ **: Conductivity (S/m)\n", "- **Scale**: Log10 or Linear scale\n", "- **$t$**: Time\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "extensions": { "jupyter_dashboards": { "version": 1, "views": { "grid_default": { "col": 0, "height": 17, "hidden": false, "row": 21, "width": 8 }, "report_default": {} } } }, "scrolled": false }, 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