{ "cells": [ { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Replicate Figure 5 from Boulanger and DeJong (2018)\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import smt\n", "\n", "q_t = []\n", "zd_vec = []\n", "N = 300\n", "z50ref = 4.2\n", "m50 = 0.5\n", "mq = 2.0\n", "mz = 3.0\n", "dc = 0.03568\n", "n_iter = 500\n", "rate_lim = 0.1\n", "tol = 1.e-6\n", "dz_dec = 0.02/0.03568*dc\n", "\n", "depth = np.linspace(0,210,N) * dc\n", "zprime = (depth[:, np.newaxis] - depth) / dc\n", "\n", "qt_a = np.full(N, 1.0)\n", "qt_b = np.full(N, 10.0)\n", "qt_c = np.full(N, 50.0)\n", "\n", "layer1 = (depth>20*dc) & (depth<25*dc)\n", "layer2 = (depth>50*dc) & (depth<60*dc)\n", "layer3 = (depth>90*dc) & (depth<110*dc)\n", "layer4 = (depth>140*dc) & (depth<200*dc)\n", "qt_a[layer1] = 100\n", "qt_a[layer2] = 100\n", "qt_a[layer3] = 100\n", "qt_a[layer4] = 100\n", "\n", "qt_b[layer1] = 100\n", "qt_b[layer2] = 100\n", "qt_b[layer3] = 100\n", "qt_b[layer4] = 100\n", "\n", "qt_c[layer1] = 100\n", "qt_c[layer2] = 100\n", "qt_c[layer3] = 100\n", "qt_c[layer4] = 100\n", "\n", "C1 = 1.0 + zprime / 8.0\n", "C1[zprime > 0] = 1.0\n", "C1[zprime < -4.0] = 0.5\n", "C2 = np.ones((len(zprime), len(zprime)), dtype=float)\n", "C2[zprime < 0] = 0.8\n", "\n", "# First convolve to get a layer-influenced profile\n", "qt_a_convolved = smt.convolve(qt_a, zprime, C1, C2, z50ref, m50, mq, mz)\n", "qt_b_convolved = smt.convolve(qt_b, zprime, C1, C2, z50ref, m50, mq, mz)\n", "qt_c_convolved = smt.convolve(qt_c, zprime, C1, C2, z50ref, m50, mq, mz)\n", "\n", "# Now apply inverse filter to recover original tip resistance\n", "qt_a_inv_vec = smt.cpt_inverse_filter(qt_a_convolved, depth, low_pass=True, smooth=True, remove_interface=True)\n", "qt_b_inv_vec = smt.cpt_inverse_filter(qt_b_convolved, depth, low_pass=True, smooth=True, remove_interface=True)\n", "qt_c_inv_vec = smt.cpt_inverse_filter(qt_c_convolved, depth, low_pass=True, smooth=True, remove_interface=True, niter=500)\n", "\n", "\n", "fig, ax = plt.subplots(ncols=3, sharey='row', sharex='row')\n", "ax[0].plot(qt_a,depth/dc, c='black')\n", "ax[0].plot(qt_a_convolved,depth/dc, c='red', linestyle='-.', linewidth=0.7)\n", "ax[0].plot(qt_a_inv_vec,depth/dc, c='blue', linewidth=0.7)\n", "ax[1].plot(qt_b,depth/dc, c='black')\n", "ax[1].plot(qt_b_convolved,depth/dc, c='red', linestyle='-.', linewidth=0.7)\n", "ax[1].plot(qt_b_inv_vec,depth/dc, c='blue', linewidth=0.7)\n", "ax[2].plot(qt_c,depth/dc, c='black', label='true')\n", "ax[2].plot(qt_c_convolved,depth/dc, c='red', linestyle='-.', linewidth=0.7, label='convolved')\n", "ax[2].plot(qt_c_inv_vec,depth/dc, c='blue', linewidth=0.7, label='inverse filtered')\n", "ax[0].set_ylabel(r'$\\frac{depth}{d_c}$')\n", "ax[0].set_xlabel(r'$q_t$')\n", "ax[1].set_xlabel(r'$q_t$')\n", "ax[2].set_xlabel(r'$q_t$')\n", "ax[0].invert_yaxis()" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "qt_a_inv_vec = smt.cpt_inverse_filter(qt_a_convolved, depth, low_pass=True, smooth=True, remove_interface=True)\n", "qt_b_inv_vec = smt.cpt_inverse_filter(qt_b_convolved, depth, low_pass=True, smooth=True, remove_interface=True)\n", "qt_c_inv_vec = smt.cpt_inverse_filter(qt_c_convolved, depth, low_pass=True, smooth=True, remove_interface=True, niter=500)\n", "\n", "# z_dec, qt_a_inv = cpt_old.layer_correct(qt=qt_a_convolved, z=z, apply_low_pass=True, smooth=True, decimate=False, removeIface=False)\n", "# z_dec, qt_b_inv = cpt_old.layer_correct(qt=qt_b_convolved, z=z, apply_low_pass=True, smooth=True, decimate=False, removeIface=False)\n", "# z_dec, qt_c_inv = cpt_old.layer_correct(qt=qt_c_convolved, z=z, apply_low_pass=True, smooth=True, decimate=False, removeIface=False)\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(ncols=3, sharey='row', sharex='row')\n", "ax[0].plot(qt_a,depth/dc, c='black')\n", "ax[0].plot(qt_a_convolved,depth/dc, c='red', linestyle='-.', linewidth=0.7)\n", "ax[0].plot(qt_a_inv_vec,depth/dc, c='blue', linewidth=0.7)\n", "ax[1].plot(qt_b,depth/dc, c='black')\n", "ax[1].plot(qt_b_convolved,depth/dc, c='red', linestyle='-.', linewidth=0.7)\n", "ax[1].plot(qt_b_inv_vec,depth/dc, c='blue', linewidth=0.7)\n", "ax[2].plot(qt_c,depth/dc, c='black')\n", "ax[2].plot(qt_c_convolved,depth/dc, c='red', linestyle='-.', linewidth=0.7)\n", "ax[2].plot(qt_c_inv_vec,depth/dc, c='blue', linewidth=0.7)\n", "ax[0].invert_yaxis()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, \"$z'$\")" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Reproduce Fig. 3\n", "\n", "fig, ax = plt.subplots()\n", "zprime = np.linspace(-10,20,100)\n", "C1 = 1.0 + zprime / 8.0\n", "C1[zprime >= 0] = 1.0\n", "C1[zprime < -4.0] = 0.5\n", "C2 = np.ones((len(zprime)), dtype=float)\n", "C2[zprime < 0] = 0.8\n", "qt_ratio = np.asarray([0.01, 0.1, 1, 10, 100], dtype=float)\n", "w2 = np.sqrt(2.0 / (1.0 + qt_ratio**mq))\n", "zprime_50 = 1.0 + 2.0 * (C2[:, np.newaxis] * z50ref - 1.0) *(1.0 - 1.0 / (1.0 + (1/qt_ratio)**m50))\n", "w1 = C1[:, np.newaxis] / (1 + np.abs(zprime[:, np.newaxis] / zprime_50)**mz)\n", "wc_num = (w1 * w2)\n", "wc_den = np.sum(w1 * w2, axis=0)\n", "wc = wc_num / wc_den\n", "\n", "ax.plot(wc/np.max(wc, axis=0),zprime,label=qt_ratio)\n", "\n", "ax.invert_yaxis()\n", "ax.legend(title=r\"$\\frac{q_{z'}}{q_{z'=0}}$\")\n", "ax.grid(True, alpha=0.5, which='both')\n", "ax.set_xlabel(r\"$w_c / \\left(w_c\\right)_{z'=0}$\")\n", "ax.set_ylabel(r\"$z'$\")" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "def get_Ic(qt, fs, sigmav, sigmavp, pa=101.325, maxiter=30):\n", " qt[qt<=0] = 0.001 * pa\n", " fs[fs<=0] = 0.0001 * pa\n", " sigmav[sigmav<=0] = 0.000001 * pa\n", " sigmavp[sigmavp<=0] = 0.000001*pa\n", " F = fs / (qt - sigmav) * 100\n", " n = np.full(len(qt), 0.5)\n", " Q = (qt-sigmav)/pa*(pa/sigmavp)**n\n", " Ic = ((3.47-np.log10(Q))**2+(1.22+np.log10(F))**2)**0.5\n", " R = 0.381*Ic+0.05*(sigmavp/pa)-0.15 - n\n", " I = 0\n", " while((np.any(np.abs(R) > 0.01)) & (I < maxiter)):\n", " Q = (qt-sigmav)/pa*(pa/sigmavp)**n\n", " Ic = ((3.47-np.log10(Q))**2+(1.22+np.log10(F))**2)**0.5\n", " R1 = 0.381*Ic+0.05*(sigmavp/pa)-0.15 - n\n", " dRdn_num = 0.381*(-0.28818*((pa/sigmavp)**n*(qt-sigmav)/pa)/np.log(10)+1)*np.log(pa/sigmavp)\n", " dRdn_den = (0.12361*(0.81967*np.log(F)/np.log(10) + 1)**2 + ((-0.28818*((pa/sigmavp)**n*(qt-sigmav)/pa)/np.log(10)+1)**2))**0.5 * np.log(10)\n", " dRdn = dRdn_num / dRdn_den - 1.0\n", " nlast = np.copy(n)\n", " n = n - 1 * R1 / dRdn\n", " n[n>1.0] = 1.0\n", " n[n<0.0] = 0.0\n", " R2 = n - nlast\n", " R = np.minimum(np.abs(R1), np.abs(R2))\n", " print(np.max(np.abs(R)))\n", " I += 1\n", " return Ic" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "12.34000825881958\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#The purpose of this sheet is to reproduce the CPT profile at St. Theresa's school (Fig. 17) in the paper by Boulanger and DeJong (2018)\n", "\n", "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import time\n", "\n", "#To see a list of options, un-comment the line below:\n", "#cpt.help()\n", "\n", "file = open(\"CPT_45185_Raw01.TXT\")\n", "z = []\n", "qt = []\n", "fs = []\n", "for i, line in enumerate(file):\n", " if(i>15):\n", " z.append(float(line.split()[0]))\n", " qt.append(float(line.split()[8])*1000)\n", " fs.append(float(line.split()[2])*1000)\n", "file.close()\n", "\n", "z = np.asarray(z)\n", "qt = np.asarray(qt)\n", "fs = np.asarray(fs)\n", "sigmav = 19*z\n", "zgwt = 1\n", "u = 9.81*(z - zgwt)\n", "u[u<0] = 0\n", "sigmavp = sigmav - u\n", "fig, ax = plt.subplots()\n", "ax.plot(qt,z)\n", "start_time = time.time()\n", "z_dec, qt_inv, fs_inv = smt.cpt_inverse_filter(qt=qt, z=z, fs=fs, sigmav=sigmav, sigmavp=sigmavp, low_pass=True, smooth=True, remove_interface=True)\n", "print(time.time() - start_time)\n", "\n", "ax.plot(qt_inv,z_dec)\n", "ax.invert_yaxis()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "import scipy as sp\n", "\n", "gamma = np.full(len(z), 19)\n", "sigmav = sp.integrate.cumulative_trapezoid(gamma, z, initial=0)\n", "dgwt = 2\n", "u = 9.81*(z-dgwt)\n", "u[u<0] = 0\n", "sigmavp = sigmav - u\n", "\n", "fig, ax = plt.subplots()\n", "ax.plot(sigmav, z)\n", "ax.plot(u, z)\n", "ax.plot(sigmavp, z)\n", "ax.invert_yaxis()\n", "ax.grid(True, alpha=0.5)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.5\n", "0.2214833033441389\n", "0.013366731339646831\n", "0.0010394376359186275\n" ] }, { "data": { "text/plain": [ "array([1.7479193 , 2.39906204, 2.5691741 , ..., 2.31526603, 2.08727158,\n", " 1.7749129 ])" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "get_Ic(qt, fs, sigmav, sigmavp)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "application/javascript": [ "/* Put everything inside the global mpl namespace */\n", "window.mpl = {};\n", "\n", "mpl.get_websocket_type = function() {\n", " if (typeof(WebSocket) !== 'undefined') {\n", " return WebSocket;\n", " } else if (typeof(MozWebSocket) !== 'undefined') {\n", " return MozWebSocket;\n", " } else {\n", " alert('Your browser does not have WebSocket support.' +\n", " 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n", " 'Firefox 4 and 5 are also supported but you ' +\n", " 'have to enable WebSockets in about:config.');\n", " };\n", "}\n", "\n", "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n", " this.id = figure_id;\n", "\n", " this.ws = websocket;\n", "\n", " this.supports_binary = (this.ws.binaryType != undefined);\n", "\n", " if (!this.supports_binary) {\n", " var warnings = document.getElementById(\"mpl-warnings\");\n", " if (warnings) {\n", " warnings.style.display = 'block';\n", " warnings.textContent = (\n", " \"This browser does not support binary websocket messages. \" +\n", " \"Performance may be slow.\");\n", " }\n", " }\n", "\n", " this.imageObj = new Image();\n", "\n", " this.context = undefined;\n", " this.message = undefined;\n", " this.canvas = undefined;\n", " this.rubberband_canvas = undefined;\n", " this.rubberband_context = undefined;\n", " this.format_dropdown = undefined;\n", "\n", " this.image_mode = 'full';\n", "\n", " this.root = $('
');\n", " this._root_extra_style(this.root)\n", " this.root.attr('style', 'display: inline-block');\n", "\n", " $(parent_element).append(this.root);\n", "\n", " this._init_header(this);\n", " this._init_canvas(this);\n", " this._init_toolbar(this);\n", "\n", " var fig = this;\n", "\n", " this.waiting = false;\n", "\n", " this.ws.onopen = function () {\n", " fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n", " fig.send_message(\"send_image_mode\", {});\n", " fig.send_message(\"refresh\", {});\n", " }\n", "\n", " this.imageObj.onload = function() {\n", " if (fig.image_mode == 'full') {\n", " // Full images could contain transparency (where diff images\n", " // almost always do), so we need to clear the canvas so that\n", " // there is no ghosting.\n", " fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n", " }\n", " fig.context.drawImage(fig.imageObj, 0, 0);\n", " };\n", "\n", " this.imageObj.onunload = function() {\n", " this.ws.close();\n", " }\n", "\n", " this.ws.onmessage = this._make_on_message_function(this);\n", "\n", " this.ondownload = ondownload;\n", "}\n", "\n", "mpl.figure.prototype._init_header = function() {\n", " var titlebar = $(\n", " '
');\n", " var titletext = $(\n", " '
');\n", " titlebar.append(titletext)\n", " this.root.append(titlebar);\n", " this.header = titletext[0];\n", "}\n", "\n", "\n", "\n", "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n", "\n", "}\n", "\n", "\n", "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n", "\n", "}\n", "\n", "mpl.figure.prototype._init_canvas = function() {\n", " var fig = this;\n", "\n", " var canvas_div = $('
');\n", "\n", " canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n", "\n", " function canvas_keyboard_event(event) {\n", " return fig.key_event(event, event['data']);\n", " }\n", "\n", " canvas_div.keydown('key_press', canvas_keyboard_event);\n", " canvas_div.keyup('key_release', canvas_keyboard_event);\n", " this.canvas_div = canvas_div\n", " this._canvas_extra_style(canvas_div)\n", " this.root.append(canvas_div);\n", "\n", " var canvas = $('');\n", " canvas.addClass('mpl-canvas');\n", " canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n", "\n", " this.canvas = canvas[0];\n", " this.context = canvas[0].getContext(\"2d\");\n", "\n", " var rubberband = $('');\n", " rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n", "\n", " var pass_mouse_events = true;\n", "\n", " canvas_div.resizable({\n", " start: function(event, ui) {\n", " pass_mouse_events = false;\n", " },\n", " resize: function(event, ui) {\n", " fig.request_resize(ui.size.width, ui.size.height);\n", " },\n", " stop: function(event, ui) {\n", " pass_mouse_events = true;\n", " fig.request_resize(ui.size.width, ui.size.height);\n", " },\n", " });\n", "\n", " function mouse_event_fn(event) {\n", " if (pass_mouse_events)\n", " return fig.mouse_event(event, event['data']);\n", " }\n", "\n", " rubberband.mousedown('button_press', mouse_event_fn);\n", " rubberband.mouseup('button_release', mouse_event_fn);\n", " // Throttle sequential mouse events to 1 every 20ms.\n", " rubberband.mousemove('motion_notify', mouse_event_fn);\n", "\n", " rubberband.mouseenter('figure_enter', mouse_event_fn);\n", " rubberband.mouseleave('figure_leave', mouse_event_fn);\n", "\n", " canvas_div.on(\"wheel\", function (event) {\n", " event = event.originalEvent;\n", " event['data'] = 'scroll'\n", " if (event.deltaY < 0) {\n", " event.step = 1;\n", " } else {\n", " event.step = -1;\n", " }\n", " mouse_event_fn(event);\n", " });\n", "\n", " canvas_div.append(canvas);\n", " canvas_div.append(rubberband);\n", "\n", " this.rubberband = rubberband;\n", " this.rubberband_canvas = rubberband[0];\n", " this.rubberband_context = rubberband[0].getContext(\"2d\");\n", " this.rubberband_context.strokeStyle = \"#000000\";\n", "\n", " this._resize_canvas = function(width, height) {\n", " // Keep the size of the canvas, canvas container, and rubber band\n", " // canvas in synch.\n", " canvas_div.css('width', width)\n", " canvas_div.css('height', height)\n", "\n", " canvas.attr('width', width);\n", " canvas.attr('height', height);\n", "\n", " rubberband.attr('width', width);\n", " rubberband.attr('height', height);\n", " }\n", "\n", " // Set the figure to an initial 600x600px, this will subsequently be updated\n", " // upon first draw.\n", " this._resize_canvas(600, 600);\n", "\n", " // Disable right mouse context menu.\n", " $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n", " return false;\n", " });\n", "\n", " function set_focus () {\n", " canvas.focus();\n", " canvas_div.focus();\n", " }\n", "\n", " window.setTimeout(set_focus, 100);\n", "}\n", "\n", "mpl.figure.prototype._init_toolbar = function() {\n", " var fig = this;\n", "\n", " var nav_element = $('
')\n", " nav_element.attr('style', 'width: 100%');\n", " this.root.append(nav_element);\n", "\n", " // Define a callback function for later on.\n", " function toolbar_event(event) {\n", " return fig.toolbar_button_onclick(event['data']);\n", " }\n", " function toolbar_mouse_event(event) {\n", " return fig.toolbar_button_onmouseover(event['data']);\n", " }\n", "\n", " for(var toolbar_ind in mpl.toolbar_items) {\n", " var name = mpl.toolbar_items[toolbar_ind][0];\n", " var tooltip = mpl.toolbar_items[toolbar_ind][1];\n", " var image = mpl.toolbar_items[toolbar_ind][2];\n", " var method_name = mpl.toolbar_items[toolbar_ind][3];\n", "\n", " if (!name) {\n", " // put a spacer in here.\n", " continue;\n", " }\n", " var button = $('