mirror of
https://github.com/wassname/simpeg.git
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Merge branch 'FDEMrefactor' of https://github.com/simpeg/simpegmt into FDEMrefactor
This commit is contained in:
Lindsey Heagy committed
commit
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63 files changed
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@@ -42,3 +42,4 @@ nosetests.xml
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*.sublime-workspace
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docs/_build/
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*.ipynb_checkpoints
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notebooks/scipy2015/001-Inversion_NoStopping.npy
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@@ -31,26 +31,30 @@
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},
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"outputs": [],
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"source": [
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"## Setup the modelling\n",
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"# Setting up 1D mesh and conductivity models to forward model data.\n",
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"\n",
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"# Frequency\n",
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"nFreq = 31\n",
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"freqs = np.logspace(3,-3,nFreq)\n",
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"# Set mesh parameters\n",
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"ct = 10\n",
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"air = simpeg.Utils.meshTensor([(ct,25,1.3)])\n",
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"core = np.concatenate( ( np.kron(simpeg.Utils.meshTensor([(ct,5,-1.2)]),np.ones((3,))) , simpeg.Utils.meshTensor([(ct,5)]) ) )\n",
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"bot = simpeg.Utils.meshTensor([(core[0],25,-1.3)])\n",
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"ct = 20\n",
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"air = simpeg.Utils.meshTensor([(ct,16,1.4)])\n",
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"core = np.concatenate( ( np.kron(simpeg.Utils.meshTensor([(ct,10,-1.3)]),np.ones((5,))) , simpeg.Utils.meshTensor([(ct,5)]) ) )\n",
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"bot = simpeg.Utils.meshTensor([(core[0],10,-1.4)])\n",
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"x0 = -np.array([np.sum(np.concatenate((core,bot)))])\n",
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"# Make the model\n",
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"m1d = simpeg.Mesh.TensorMesh([np.concatenate((bot,core,air))], x0=x0)\n",
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"\n",
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"# Setup model varibles\n",
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"active = m1d.vectorCCx<0.\n",
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"layer1 = (m1d.vectorCCx<-200.) & (m1d.vectorCCx>=-600.)\n",
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"layer2 = (m1d.vectorCCx<-2000.) & (m1d.vectorCCx>=-4000.)\n",
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"layer1 = (m1d.vectorCCx<-500.) & (m1d.vectorCCx>=-800.)\n",
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"layer2 = (m1d.vectorCCx<-3500.) & (m1d.vectorCCx>=-5000.)\n",
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"# Set the conductivity values\n",
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"sig_half = 2e-3\n",
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"sig_air = 1e-8\n",
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"sig_layer1 = 1\n",
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"sig_layer2 = .1\n",
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"sig_layer1 = .2\n",
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"sig_layer2 = .2\n",
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"# Make the true model\n",
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"sigma_true = np.ones(m1d.nCx)*sig_air\n",
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"sigma_true[active] = sig_half\n",
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@@ -63,8 +67,7 @@
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"sigma_0[active] = sig_half\n",
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"m_0 = np.log(sigma_0[active])\n",
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"\n",
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"\n",
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"# Set the mapping# Set the mapping\n",
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"# Set the mapping\n",
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"actMap = simpeg.Maps.ActiveCells(m1d, active, np.log(1e-8), nC=m1d.nCx)\n",
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"mappingExpAct = simpeg.Maps.ExpMap(m1d) * actMap"
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]
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@@ -38,23 +38,23 @@
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"nFreq = 31\n",
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"freqs = np.logspace(3,-3,nFreq)\n",
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"# Set mesh parameters\n",
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"ct = 10\n",
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"air = simpeg.Utils.meshTensor([(ct,25,1.3)])\n",
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"core = np.concatenate( ( np.kron(simpeg.Utils.meshTensor([(ct,5,-1.2)]),np.ones((3,))) , simpeg.Utils.meshTensor([(ct,5)]) ) )\n",
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"bot = simpeg.Utils.meshTensor([(core[0],25,-1.3)])\n",
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"ct = 20\n",
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"air = simpeg.Utils.meshTensor([(ct,16,1.4)])\n",
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"core = np.concatenate( ( np.kron(simpeg.Utils.meshTensor([(ct,10,-1.3)]),np.ones((5,))) , simpeg.Utils.meshTensor([(ct,5)]) ) )\n",
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"bot = simpeg.Utils.meshTensor([(core[0],10,-1.4)])\n",
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"x0 = -np.array([np.sum(np.concatenate((core,bot)))])\n",
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"# Make the model\n",
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"m1d = simpeg.Mesh.TensorMesh([np.concatenate((bot,core,air))], x0=x0)\n",
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"\n",
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"# Setup model varibles\n",
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"active = m1d.vectorCCx<0.\n",
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"layer1 = (m1d.vectorCCx<-200.) & (m1d.vectorCCx>=-600.)\n",
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"layer2 = (m1d.vectorCCx<-2000.) & (m1d.vectorCCx>=-4000.)\n",
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"layer1 = (m1d.vectorCCx<-500.) & (m1d.vectorCCx>=-800.)\n",
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"layer2 = (m1d.vectorCCx<-3500.) & (m1d.vectorCCx>=-5000.)\n",
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"# Set the conductivity values\n",
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"sig_half = 2e-3\n",
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"sig_air = 1e-8\n",
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"sig_layer1 = 1\n",
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"sig_layer2 = .1\n",
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"sig_layer1 = .2\n",
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"sig_layer2 = .2\n",
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"# Make the true model\n",
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"sigma_true = np.ones(m1d.nCx)*sig_air\n",
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"sigma_true[active] = sig_half\n",
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@@ -123,14 +123,14 @@
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"# Assign the datas to the survey object\n",
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"survey.dtrue = d_true\n",
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"survey.dobs = d_obs\n",
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"survey.std = survey.dobs*0 + std\n",
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"survey.std = np.abs(survey.dobs*std) + 0.01*np.linalg.norm(survey.dobs) #survey.dobs*0 + std\n",
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"# Assign the data weight\n",
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"survey.Wd = 1/(abs(survey.dobs)*survey.std)"
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"survey.Wd = 1/survey.std #(abs(survey.dobs)*survey.std)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 23,
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"execution_count": 5,
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"metadata": {
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"collapsed": false
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},
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@@ -149,13 +149,15 @@
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"dmis = simpeg.DataMisfit.l2_DataMisfit(survey)\n",
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"# Regularization\n",
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"# Note: We want you use a mesh the corresponds to the domain we want to solve, the active cells.\n",
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"if False:\n",
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"if True:\n",
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" regMesh = simpeg.Mesh.TensorMesh([m1d.hx[problem.mapping.sigmaMap.maps[-1].indActive]],m1d.x0)\n",
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" reg = simpeg.Regularization.Tikhonov(regMesh)\n",
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"else:\n",
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" reg = simpeg.Regularization.Tikhonov(m1d,mapping=mappingExpAct)\n",
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"reg.alpha_s = 1e-8\n",
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"reg.smoothModel = True\n",
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"reg.alpha_s = 1e-7\n",
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"reg.alpha_x = 1.\n",
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"# reg.alpha_xx = 0.001\n",
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"# Inversion problem\n",
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"invProb = simpeg.InvProblem.BaseInvProblem(dmis, reg, opt)\n",
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"invProb.counter = C\n",
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@@ -163,14 +165,14 @@
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"beta = simpeg.Directives.BetaSchedule()\n",
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"betaest = simpeg.Directives.BetaEstimate_ByEig(beta0_ratio=0.75)\n",
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"saveModel = simpeg.Directives.SaveModelEveryIteration()\n",
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"saveModel.fileName = 'Inversion_NoStopping'\n",
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"saveModel.fileName = 'Inversion_NoStoppingregMesh_smoothTrue'\n",
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"# Create an inversion object\n",
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"inv = simpeg.Inversion.BaseInversion(invProb, directiveList=[beta,betaest,saveModel]) \n"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 24,
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"execution_count": 6,
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"metadata": {
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"collapsed": false,
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"scrolled": false
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@@ -184,46 +186,46 @@
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"SimPEG.InvProblem is setting bfgsH0 to the inverse of the eval2Deriv.\n",
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" ***Done using same solver as the problem***\n",
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"SimPEG.l2_DataMisfit is creating default weightings for Wd.\n",
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"SimPEG.SaveModelEveryIteration will save your models as: '###-Inversion_NoStopping.npy'\n",
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"SimPEG.SaveModelEveryIteration will save your models as: '###-Inversion_NoStoppingregMesh_smoothTrue.npy'\n",
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"============================ Inexact Gauss Newton ============================\n",
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" # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n",
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"-----------------------------------------------------------------------------\n",
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" 0 3.97e+05 1.32e+06 1.77e-07 1.32e+06 3.23e+05 0 \n",
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" 1 3.97e+05 1.89e+05 3.57e-07 1.89e+05 4.74e+04 0 \n",
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" 2 3.97e+05 3.88e+04 4.77e-06 3.88e+04 1.11e+04 0 Skip BFGS \n",
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" 3 4.96e+04 3.69e+04 5.13e-06 3.69e+04 1.05e+04 0 Skip BFGS \n",
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" 4 4.96e+04 2.71e+04 8.22e-06 2.71e+04 7.80e+03 0 Skip BFGS \n",
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" 5 4.96e+04 2.34e+04 1.04e-05 2.34e+04 6.80e+03 0 Skip BFGS \n",
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" 6 6.21e+03 2.11e+04 1.23e-05 2.11e+04 6.19e+03 0 Skip BFGS \n",
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" 7 6.21e+03 1.27e+04 2.87e-05 1.27e+04 3.95e+03 0 Skip BFGS \n",
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" 8 6.21e+03 1.07e+04 3.77e-05 1.07e+04 3.41e+03 0 Skip BFGS \n",
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" 9 7.76e+02 9.53e+03 4.53e-05 9.53e+03 3.09e+03 0 Skip BFGS \n",
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" 10 7.76e+02 5.51e+03 1.06e-04 5.51e+03 1.97e+03 0 Skip BFGS \n",
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" 11 7.76e+02 4.57e+03 1.39e-04 4.57e+03 1.69e+03 0 Skip BFGS \n",
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" 12 9.70e+01 4.02e+03 1.66e-04 4.02e+03 1.53e+03 0 Skip BFGS \n",
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" 13 9.70e+01 2.27e+03 3.59e-04 2.27e+03 9.73e+02 0 Skip BFGS \n",
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" 14 9.70e+01 1.83e+03 4.62e-04 1.83e+03 8.24e+02 0 Skip BFGS \n",
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" 15 1.21e+01 1.57e+03 5.44e-04 1.57e+03 7.36e+02 0 Skip BFGS \n",
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" 16 1.21e+01 8.91e+02 1.06e-03 8.91e+02 4.57e+02 0 Skip BFGS \n",
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" 17 1.21e+01 6.95e+02 1.35e-03 6.95e+02 3.66e+02 0 Skip BFGS \n",
|
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" 18 1.51e+00 5.92e+02 1.57e-03 5.92e+02 3.13e+02 0 Skip BFGS \n",
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" 19 1.51e+00 3.56e+02 2.57e-03 3.56e+02 1.75e+02 0 Skip BFGS \n",
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" 20 1.51e+00 3.22e+02 3.06e-03 3.22e+02 1.53e+02 0 Skip BFGS \n",
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" 21 1.89e-01 2.75e+02 3.38e-03 2.75e+02 1.25e+02 0 \n",
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" 22 1.89e-01 1.98e+02 4.78e-03 1.98e+02 8.83e+01 0 Skip BFGS \n",
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" 23 1.89e-01 1.51e+02 5.79e-03 1.51e+02 7.53e+01 0 \n",
|
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" 24 2.37e-02 1.19e+02 6.62e-03 1.19e+02 6.26e+01 0 Skip BFGS \n",
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" 25 2.37e-02 8.19e+01 1.04e-02 8.19e+01 4.51e+01 0 Skip BFGS \n",
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" 26 2.37e-02 7.08e+01 1.12e-02 7.08e+01 3.79e+01 1 \n",
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" 27 2.96e-03 5.49e+01 1.16e-02 5.49e+01 3.51e+01 0 \n",
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" 28 2.96e-03 4.67e+01 1.23e-02 4.67e+01 3.03e+01 1 \n",
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" 29 2.96e-03 3.27e+01 1.32e-02 3.27e+01 3.13e+01 0 \n",
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" 30 3.70e-04 2.51e+01 1.36e-02 2.51e+01 2.30e+01 0 \n",
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" 0 2.55e+05 2.18e+05 0.00e+00 2.18e+05 4.01e+04 0 \n",
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" 1 2.55e+05 2.50e+04 2.21e-03 2.55e+04 5.64e+03 0 \n",
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" 2 2.55e+05 3.37e+03 4.74e-03 4.58e+03 9.91e+02 0 Skip BFGS \n",
|
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" 3 3.19e+04 1.78e+03 4.90e-03 1.93e+03 2.83e+02 0 Skip BFGS \n",
|
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" 4 3.19e+04 9.92e+02 1.67e-02 1.52e+03 2.15e+02 0 Skip BFGS \n",
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" 5 3.19e+04 7.50e+02 1.83e-02 1.33e+03 1.06e+02 0 \n",
|
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" 6 3.99e+03 6.23e+02 2.13e-02 7.08e+02 1.40e+02 0 Skip BFGS \n",
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" 7 3.99e+03 3.26e+02 5.92e-02 5.62e+02 2.61e+02 0 \n",
|
||||
" 8 3.99e+03 3.58e+02 3.99e-02 5.17e+02 1.18e+02 0 \n",
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" 9 4.98e+02 3.33e+02 4.07e-02 3.53e+02 1.14e+02 1 \n",
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" 10 4.98e+02 2.51e+02 1.43e-01 3.22e+02 3.78e+02 0 \n",
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" 11 4.98e+02 1.75e+02 1.17e-01 2.34e+02 2.27e+02 1 \n",
|
||||
" 12 6.23e+01 7.99e+01 1.45e-01 8.89e+01 5.71e+01 0 Skip BFGS \n",
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" 13 6.23e+01 7.36e+01 1.92e-01 8.56e+01 1.16e+02 0 Skip BFGS \n",
|
||||
" 14 6.23e+01 6.72e+01 1.99e-01 7.96e+01 7.08e+01 0 \n",
|
||||
" 15 7.79e+00 6.04e+01 2.08e-01 6.21e+01 2.97e+01 0 \n",
|
||||
" 16 7.79e+00 5.60e+01 2.35e-01 5.78e+01 4.30e+01 0 \n",
|
||||
" 17 7.79e+00 4.85e+01 3.72e-01 5.14e+01 3.44e+01 0 \n",
|
||||
" 18 9.73e-01 4.34e+01 3.81e-01 4.38e+01 7.57e+00 0 \n",
|
||||
" 19 9.73e-01 4.30e+01 3.60e-01 4.33e+01 1.87e+01 0 Skip BFGS \n",
|
||||
" 20 9.73e-01 4.20e+01 3.74e-01 4.24e+01 1.23e+01 0 \n",
|
||||
" 21 1.22e-01 4.03e+01 4.12e-01 4.04e+01 1.79e+01 2 \n",
|
||||
" 22 1.22e-01 4.00e+01 4.83e-01 4.01e+01 2.70e+01 0 Skip BFGS \n",
|
||||
" 23 1.22e-01 3.92e+01 4.79e-01 3.92e+01 2.06e+01 0 \n",
|
||||
" 24 1.52e-02 3.86e+01 5.04e-01 3.86e+01 1.97e+01 2 Skip BFGS \n",
|
||||
" 25 1.52e-02 3.82e+01 5.02e-01 3.82e+01 3.32e+01 0 \n",
|
||||
" 26 1.52e-02 3.80e+01 4.74e-01 3.80e+01 2.44e+01 0 \n",
|
||||
" 27 1.90e-03 3.76e+01 4.57e-01 3.76e+01 3.62e+01 1 Skip BFGS \n",
|
||||
" 28 1.90e-03 3.74e+01 4.77e-01 3.74e+01 3.13e+01 1 \n",
|
||||
" 29 1.90e-03 3.74e+01 4.55e-01 3.74e+01 2.68e+01 0 \n",
|
||||
" 30 2.38e-04 3.71e+01 4.30e-01 3.71e+01 2.24e+01 1 \n",
|
||||
"------------------------- STOP! -------------------------\n",
|
||||
"1 : |fc-fOld| = 7.6530e+00 <= tolF*(1+|f0|) = 1.3164e+05\n",
|
||||
"1 : |xc-x_last| = 4.1960e+00 <= tolX*(1+|x0|) = 4.2689e+00\n",
|
||||
"0 : |proj(x-g)-x| = 2.2988e+01 <= tolG = 1.0000e-01\n",
|
||||
"0 : |proj(x-g)-x| = 2.2988e+01 <= 1e3*eps = 1.0000e-02\n",
|
||||
"1 : |fc-fOld| = 3.3322e-01 <= tolF*(1+|f0|) = 2.1833e+04\n",
|
||||
"1 : |xc-x_last| = 1.0086e+00 <= tolX*(1+|x0|) = 5.1104e+00\n",
|
||||
"0 : |proj(x-g)-x| = 2.2396e+01 <= tolG = 1.0000e-01\n",
|
||||
"0 : |proj(x-g)-x| = 2.2396e+01 <= 1e3*eps = 1.0000e-02\n",
|
||||
"1 : maxIter = 30 <= iter = 30\n",
|
||||
"------------------------- DONE! -------------------------\n"
|
||||
]
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||||
@@ -236,14 +238,14 @@
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||||
},
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||||
{
|
||||
"cell_type": "code",
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"execution_count": 21,
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||||
"execution_count": 7,
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||||
"metadata": {
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"collapsed": false
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},
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||||
"outputs": [],
|
||||
"source": [
|
||||
"modList = []\n",
|
||||
"modFiles = glob('*Inversion_NoStopping.npy')\n",
|
||||
"modFiles = glob('*Inversion_NoStoppingregMesh_smoothTrue.npy')\n",
|
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"modFiles.sort()\n",
|
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"for f in modFiles:\n",
|
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" modList.append(np.load(f))"
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@@ -251,39 +253,157 @@
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||||
},
|
||||
{
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||||
"cell_type": "code",
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"execution_count": 22,
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"execution_count": 8,
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"metadata": {
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||||
"collapsed": false
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||||
},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"simpegmt.Utils.dataUtils.plotMT1DModelData(problem,modList)\n",
|
||||
"plt.show()\n"
|
||||
"# simpegmt.Utils.dataUtils.plotMT1DModelData(problem,modList)\n",
|
||||
"# plt.show()\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
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||||
"execution_count": null,
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||||
"execution_count": 9,
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||||
"metadata": {
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||||
"collapsed": false
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||||
},
|
||||
"outputs": [],
|
||||
"outputs": [
|
||||
{
|
||||
"name": "stderr",
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"output_type": "stream",
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"text": [
|
||||
"/home/gudni/anaconda/lib/python2.7/site-packages/numpy/ma/core.py:2834: FutureWarning: Numpy has detected that you (may be) writing to an array returned\n",
|
||||
"by numpy.diagonal or by selecting multiple fields in a record\n",
|
||||
"array. This code will likely break in a future numpy release --\n",
|
||||
"see numpy.diagonal or arrays.indexing reference docs for details.\n",
|
||||
"The quick fix is to make an explicit copy (e.g., do\n",
|
||||
"arr.diagonal().copy() or arr[['f0','f1']].copy()).\n",
|
||||
" if (obj.__array_interface__[\"data\"][0]\n",
|
||||
"/home/gudni/anaconda/lib/python2.7/site-packages/numpy/ma/core.py:2835: FutureWarning: Numpy has detected that you (may be) writing to an array returned\n",
|
||||
"by numpy.diagonal or by selecting multiple fields in a record\n",
|
||||
"array. This code will likely break in a future numpy release --\n",
|
||||
"see numpy.diagonal or arrays.indexing reference docs for details.\n",
|
||||
"The quick fix is to make an explicit copy (e.g., do\n",
|
||||
"arr.diagonal().copy() or arr[['f0','f1']].copy()).\n",
|
||||
" != self.__array_interface__[\"data\"][0]):\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"data": {
|
||||
"image/png": 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truncated
|
||||
"text/plain": [
|
||||
"<matplotlib.figure.Figure at 0x7f7d27dca950>"
|
||||
]
|
||||
},
|
||||
"metadata": {},
|
||||
"output_type": "display_data"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"%matplotlib qt\n",
|
||||
"simpegmt.Utils.dataUtils.plotMT1DModelData(problem,modList)\n",
|
||||
"%matplotlib inline\n",
|
||||
"fig = simpegmt.Utils.dataUtils.plotMT1DModelData(problem,[m_0,mopt])\n",
|
||||
"fig.suptitle('No stopping-useMref')\n",
|
||||
"plt.show()"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": null,
|
||||
"execution_count": 12,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"%matplotlib qt\n",
|
||||
"simpegmt.Utils.dataUtils.plotMT1DModelData(problem,modList[-3:-1])\n",
|
||||
"reg.alpha_xx = 0.001\n",
|
||||
"saveModel.fileName = 'Inversion_NoStoppingregMesh_smoothTrueWxx'"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 13,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
"outputs": [
|
||||
{
|
||||
"name": "stdout",
|
||||
"output_type": "stream",
|
||||
"text": [
|
||||
"SimPEG.InvProblem is setting bfgsH0 to the inverse of the eval2Deriv.\n",
|
||||
" ***Done using same solver as the problem***\n",
|
||||
"SimPEG.SaveModelEveryIteration will save your models as: '###-Inversion_NoStoppingregMesh_smoothTrueWxx.npy'\n",
|
||||
"============================ Inexact Gauss Newton ============================\n",
|
||||
" # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n",
|
||||
"-----------------------------------------------------------------------------\n",
|
||||
" 0 2.54e+05 2.18e+05 0.00e+00 2.18e+05 4.01e+04 0 \n",
|
||||
" 1 2.54e+05 2.50e+04 2.21e-03 2.55e+04 5.64e+03 0 \n",
|
||||
" 2 2.54e+05 3.37e+03 4.74e-03 4.57e+03 9.91e+02 0 Skip BFGS \n",
|
||||
" 3 3.17e+04 1.77e+03 4.92e-03 1.93e+03 2.83e+02 0 Skip BFGS \n",
|
||||
" 4 3.17e+04 9.89e+02 1.68e-02 1.52e+03 2.15e+02 0 Skip BFGS \n",
|
||||
" 5 3.17e+04 7.47e+02 1.84e-02 1.33e+03 1.06e+02 0 \n",
|
||||
" 6 3.96e+03 6.19e+02 2.14e-02 7.04e+02 1.39e+02 0 Skip BFGS \n",
|
||||
" 7 3.96e+03 3.25e+02 5.92e-02 5.60e+02 2.61e+02 0 \n",
|
||||
" 8 3.96e+03 3.55e+02 4.00e-02 5.14e+02 1.17e+02 0 \n",
|
||||
" 9 4.95e+02 3.29e+02 4.10e-02 3.50e+02 1.13e+02 1 \n",
|
||||
" 10 4.95e+02 2.48e+02 1.43e-01 3.19e+02 3.78e+02 0 \n",
|
||||
" 11 4.95e+02 1.75e+02 1.18e-01 2.33e+02 2.31e+02 1 \n",
|
||||
" 12 6.19e+01 7.93e+01 1.45e-01 8.83e+01 5.76e+01 0 Skip BFGS \n",
|
||||
" 13 6.19e+01 6.97e+01 1.87e-01 8.13e+01 9.12e+01 0 Skip BFGS \n",
|
||||
" 14 6.19e+01 6.36e+01 1.88e-01 7.53e+01 2.36e+01 0 \n",
|
||||
" 15 7.74e+00 6.22e+01 1.94e-01 6.37e+01 2.16e+01 0 \n",
|
||||
" 16 7.74e+00 5.72e+01 2.23e-01 5.89e+01 3.88e+01 1 \n",
|
||||
" 17 7.74e+00 5.15e+01 3.19e-01 5.40e+01 4.78e+01 1 Skip BFGS \n",
|
||||
" 18 9.68e-01 4.36e+01 3.51e-01 4.39e+01 1.50e+01 0 \n",
|
||||
" 19 9.68e-01 4.22e+01 4.45e-01 4.27e+01 2.01e+01 0 Skip BFGS \n",
|
||||
" 20 9.68e-01 4.13e+01 4.20e-01 4.17e+01 9.91e+00 0 \n",
|
||||
" 21 1.21e-01 4.02e+01 4.47e-01 4.02e+01 2.47e+01 1 \n",
|
||||
" 22 1.21e-01 3.96e+01 4.82e-01 3.96e+01 2.93e+01 0 Skip BFGS \n",
|
||||
" 23 1.21e-01 3.92e+01 4.94e-01 3.93e+01 2.75e+01 0 \n",
|
||||
" 24 1.51e-02 3.90e+01 5.51e-01 3.90e+01 2.27e+01 0 Skip BFGS \n",
|
||||
" 25 1.51e-02 3.82e+01 5.19e-01 3.82e+01 1.94e+01 0 \n",
|
||||
" 26 1.51e-02 3.79e+01 5.52e-01 3.79e+01 1.71e+01 1 Skip BFGS \n",
|
||||
" 27 1.89e-03 3.76e+01 5.39e-01 3.76e+01 2.16e+01 1 \n",
|
||||
" 28 1.89e-03 3.76e+01 6.14e-01 3.76e+01 3.82e+01 1 Skip BFGS \n",
|
||||
" 29 1.89e-03 3.69e+01 5.53e-01 3.69e+01 3.71e+01 0 \n",
|
||||
" 30 2.36e-04 3.57e+01 5.65e-01 3.57e+01 1.91e+01 0 \n",
|
||||
"------------------------- STOP! -------------------------\n",
|
||||
"1 : |fc-fOld| = 1.1797e+00 <= tolF*(1+|f0|) = 2.1833e+04\n",
|
||||
"1 : |xc-x_last| = 1.0384e+00 <= tolX*(1+|x0|) = 5.1104e+00\n",
|
||||
"0 : |proj(x-g)-x| = 1.9125e+01 <= tolG = 1.0000e-01\n",
|
||||
"0 : |proj(x-g)-x| = 1.9125e+01 <= 1e3*eps = 1.0000e-02\n",
|
||||
"1 : maxIter = 30 <= iter = 30\n",
|
||||
"------------------------- DONE! -------------------------\n"
|
||||
]
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"moptWxx = inv.run(m_0)"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 14,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"image/png": 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truncated
|
||||
"text/plain": [
|
||||
"<matplotlib.figure.Figure at 0x7f7d1ef376d0>"
|
||||
]
|
||||
},
|
||||
"metadata": {},
|
||||
"output_type": "display_data"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"%matplotlib inline\n",
|
||||
"fig = simpegmt.Utils.dataUtils.plotMT1DModelData(problem,[mopt,moptWxx])\n",
|
||||
"fig.suptitle('No stopping-useMref - Wxx')\n",
|
||||
"plt.show()"
|
||||
]
|
||||
},
|
||||
|
||||
@@ -53,8 +53,8 @@
|
||||
"# Set the conductivity values\n",
|
||||
"sig_half = 2e-3\n",
|
||||
"sig_air = 1e-8\n",
|
||||
"sig_layer1 = 1\n",
|
||||
"sig_layer2 = .1\n",
|
||||
"sig_layer1 = .2\n",
|
||||
"sig_layer2 = .2\n",
|
||||
"# Make the true model\n",
|
||||
"sigma_true = np.ones(m1d.nCx)*sig_air\n",
|
||||
"sigma_true[active] = sig_half\n",
|
||||
@@ -102,7 +102,7 @@
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 6,
|
||||
"execution_count": 4,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
@@ -130,7 +130,7 @@
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 7,
|
||||
"execution_count": 5,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
@@ -154,6 +154,7 @@
|
||||
" reg = simpeg.Regularization.Tikhonov(regMesh)\n",
|
||||
"# else:\n",
|
||||
"# reg = simpeg.Regularization.Tikhonov(m1d,mapping=mapAct)\n",
|
||||
"reg.smoothModel = False\n",
|
||||
"reg.alpha_s = 1e-8\n",
|
||||
"reg.alpha_x = 1.\n",
|
||||
"# Inversion problem\n",
|
||||
@@ -163,17 +164,16 @@
|
||||
"beta = simpeg.Directives.BetaSchedule()\n",
|
||||
"betaest = simpeg.Directives.BetaEstimate_ByEig(beta0_ratio=0.75)\n",
|
||||
"saveModel = simpeg.Directives.SaveModelEveryIteration()\n",
|
||||
"saveModel.fileName = 'Inversion_NoStoppingregMesh'\n",
|
||||
"saveModel.fileName = 'Inversion_NoStoppingregMesh_smoothFalse'\n",
|
||||
"# Create an inversion object\n",
|
||||
"inv = simpeg.Inversion.BaseInversion(invProb, directiveList=[beta,betaest,saveModel]) \n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 8,
|
||||
"execution_count": 6,
|
||||
"metadata": {
|
||||
"collapsed": false,
|
||||
"scrolled": false
|
||||
"collapsed": false
|
||||
},
|
||||
"outputs": [
|
||||
{
|
||||
@@ -184,21 +184,48 @@
|
||||
"SimPEG.InvProblem is setting bfgsH0 to the inverse of the eval2Deriv.\n",
|
||||
" ***Done using same solver as the problem***\n",
|
||||
"SimPEG.l2_DataMisfit is creating default weightings for Wd.\n",
|
||||
"SimPEG.SaveModelEveryIteration will save your models as: '###-Inversion_NoStoppingregMesh.npy'\n",
|
||||
"SimPEG.SaveModelEveryIteration will save your models as: '###-Inversion_NoStoppingregMesh_smoothFalse.npy'\n",
|
||||
"============================ Inexact Gauss Newton ============================\n",
|
||||
" # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n",
|
||||
"-----------------------------------------------------------------------------\n",
|
||||
" 0 3.07e+06 5.84e+06 2.95e-02 5.93e+06 1.45e+06 0 \n",
|
||||
" 1 3.07e+06 6.43e+05 2.81e-02 7.29e+05 1.64e+05 0 \n",
|
||||
" 2 3.07e+06 6.97e+04 2.75e-02 1.54e+05 1.99e+04 0 Skip BFGS \n",
|
||||
" 3 3.84e+05 1.01e+04 2.79e-02 2.08e+04 2.95e+03 0 Skip BFGS \n",
|
||||
" 4 3.84e+05 5.52e+03 2.97e-02 1.69e+04 3.93e+02 0 Skip BFGS \n",
|
||||
" 5 3.84e+05 5.44e+03 2.93e-02 1.67e+04 7.12e+01 0 Skip BFGS \n",
|
||||
"------------------------------------------------------------------\n",
|
||||
"0 : ft = 1.6712e+04 <= alp*descent = 1.6712e+04\n",
|
||||
"1 : maxIterLS = 10 <= iterLS = 10\n",
|
||||
"------------------------- End Linesearch -------------------------\n",
|
||||
"The linesearch got broken. Boo.\n"
|
||||
" 0 7.58e+05 5.84e+06 0.00e+00 5.84e+06 1.45e+06 0 \n",
|
||||
" 1 7.58e+05 6.42e+05 2.33e-04 6.43e+05 1.64e+05 0 \n",
|
||||
" 2 7.58e+05 6.95e+04 7.43e-04 7.00e+04 2.00e+04 0 Skip BFGS \n",
|
||||
" 3 9.47e+04 9.80e+03 1.31e-03 9.92e+03 2.87e+03 0 Skip BFGS \n",
|
||||
" 4 9.47e+04 4.94e+03 5.58e-03 5.47e+03 3.72e+02 0 Skip BFGS \n",
|
||||
" 5 9.47e+04 4.62e+03 7.58e-03 5.33e+03 3.58e+01 0 Skip BFGS \n",
|
||||
" 6 1.18e+04 4.61e+03 7.61e-03 4.70e+03 5.85e+02 0 Skip BFGS \n",
|
||||
" 7 1.18e+04 3.57e+03 3.44e-02 3.97e+03 3.49e+02 0 \n",
|
||||
" 8 1.18e+04 3.27e+03 3.71e-02 3.71e+03 3.65e+02 0 \n",
|
||||
" 9 1.48e+03 3.19e+03 3.67e-02 3.24e+03 5.87e+02 0 \n",
|
||||
" 10 1.48e+03 3.11e+03 5.52e-02 3.19e+03 5.02e+02 0 \n",
|
||||
" 11 1.48e+03 3.10e+03 5.75e-02 3.18e+03 5.14e+02 2 \n",
|
||||
" 12 1.85e+02 3.09e+03 5.75e-02 3.10e+03 5.39e+02 3 \n",
|
||||
" 13 1.85e+02 3.06e+03 7.96e-02 3.07e+03 4.75e+02 0 \n",
|
||||
" 14 1.85e+02 3.06e+03 8.25e-02 3.07e+03 4.80e+02 3 \n",
|
||||
" 15 2.31e+01 3.05e+03 8.50e-02 3.05e+03 4.82e+02 4 \n",
|
||||
" 16 2.31e+01 3.04e+03 1.39e-01 3.04e+03 4.80e+02 2 \n",
|
||||
" 17 2.31e+01 3.01e+03 1.59e-01 3.01e+03 4.72e+02 2 \n",
|
||||
" 18 2.89e+00 3.01e+03 1.26e-01 3.01e+03 4.87e+02 1 \n",
|
||||
" 19 2.89e+00 2.45e+03 1.96e-01 2.45e+03 5.42e+02 1 \n",
|
||||
" 20 2.89e+00 2.11e+03 4.55e-01 2.12e+03 8.59e+02 0 Skip BFGS \n",
|
||||
" 21 3.61e-01 1.95e+03 5.59e-01 1.95e+03 4.88e+02 0 \n",
|
||||
" 22 3.61e-01 1.72e+03 5.09e-01 1.72e+03 3.32e+02 0 \n",
|
||||
" 23 3.61e-01 1.56e+03 6.15e-01 1.56e+03 2.82e+02 0 Skip BFGS \n",
|
||||
" 24 4.52e-02 1.49e+03 7.06e-01 1.49e+03 2.61e+02 1 \n",
|
||||
" 25 4.52e-02 1.45e+03 8.86e-01 1.45e+03 2.72e+02 3 Skip BFGS \n",
|
||||
" 26 4.52e-02 1.41e+03 7.88e-01 1.41e+03 3.08e+02 0 \n",
|
||||
" 27 5.64e-03 1.41e+03 7.02e-01 1.41e+03 2.64e+02 0 \n",
|
||||
" 28 5.64e-03 1.27e+03 7.59e-01 1.27e+03 3.48e+02 0 \n",
|
||||
" 29 5.64e-03 9.93e+02 1.47e+00 9.93e+02 4.30e+02 1 \n",
|
||||
" 30 7.05e-04 8.33e+02 3.08e+00 8.33e+02 5.44e+02 1 Skip BFGS \n",
|
||||
"------------------------- STOP! -------------------------\n",
|
||||
"1 : |fc-fOld| = 1.5990e+02 <= tolF*(1+|f0|) = 5.8433e+05\n",
|
||||
"0 : |xc-x_last| = 3.4554e+01 <= tolX*(1+|x0|) = 4.2689e+00\n",
|
||||
"0 : |proj(x-g)-x| = 5.4392e+02 <= tolG = 1.0000e-01\n",
|
||||
"0 : |proj(x-g)-x| = 5.4392e+02 <= 1e3*eps = 1.0000e-02\n",
|
||||
"1 : maxIter = 30 <= iter = 30\n",
|
||||
"------------------------- DONE! -------------------------\n"
|
||||
]
|
||||
}
|
||||
],
|
||||
@@ -209,7 +236,7 @@
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": null,
|
||||
"execution_count": 7,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
@@ -224,40 +251,43 @@
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 9,
|
||||
"execution_count": 22,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
"outputs": [
|
||||
{
|
||||
"name": "stderr",
|
||||
"output_type": "stream",
|
||||
"text": [
|
||||
"/home/gudni/anaconda/lib/python2.7/site-packages/numpy/ma/core.py:2834: FutureWarning: Numpy has detected that you (may be) writing to an array returned\n",
|
||||
"by numpy.diagonal or by selecting multiple fields in a record\n",
|
||||
"array. This code will likely break in a future numpy release --\n",
|
||||
"see numpy.diagonal or arrays.indexing reference docs for details.\n",
|
||||
"The quick fix is to make an explicit copy (e.g., do\n",
|
||||
"arr.diagonal().copy() or arr[['f0','f1']].copy()).\n",
|
||||
" if (obj.__array_interface__[\"data\"][0]\n",
|
||||
"/home/gudni/anaconda/lib/python2.7/site-packages/numpy/ma/core.py:2835: FutureWarning: Numpy has detected that you (may be) writing to an array returned\n",
|
||||
"by numpy.diagonal or by selecting multiple fields in a record\n",
|
||||
"array. This code will likely break in a future numpy release --\n",
|
||||
"see numpy.diagonal or arrays.indexing reference docs for details.\n",
|
||||
"The quick fix is to make an explicit copy (e.g., do\n",
|
||||
"arr.diagonal().copy() or arr[['f0','f1']].copy()).\n",
|
||||
" != self.__array_interface__[\"data\"][0]):\n"
|
||||
"ename": "AttributeError",
|
||||
"evalue": "'Figure' object has no attribute 'supplot'",
|
||||
"output_type": "error",
|
||||
"traceback": [
|
||||
"\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
|
||||
"\u001b[1;31mAttributeError\u001b[0m Traceback (most recent call last)",
|
||||
"\u001b[1;32m<ipython-input-22-599803cc310e>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[0;32m 1\u001b[0m \u001b[0mget_ipython\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mmagic\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34mu'matplotlib inline'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 2\u001b[0m \u001b[0mfig\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0msimpegmt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mUtils\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdataUtils\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mplotMT1DModelData\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mproblem\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mm_0\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mmopt\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 3\u001b[1;33m \u001b[0mfig\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msupplot\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 4\u001b[0m \u001b[0mplt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mshow\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
|
||||
"\u001b[1;31mAttributeError\u001b[0m: 'Figure' object has no attribute 'supplot'"
|
||||
]
|
||||
},
|
||||
{
|
||||
"data": {
|
||||
"image/png": 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truncated
|
||||
"text/plain": [
|
||||
"<matplotlib.figure.Figure at 0x7f7c525e7090>"
|
||||
]
|
||||
},
|
||||
"metadata": {},
|
||||
"output_type": "display_data"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"simpegmt.Utils.dataUtils.plotMT1DModelData(problem,[m_0,mopt])\n",
|
||||
"plt.show()\n"
|
||||
"%matplotlib inline\n",
|
||||
"fig = simpegmt.Utils.dataUtils.plotMT1DModelData(problem,[m_0,mopt])\n",
|
||||
"fig.supplot\n",
|
||||
"plt.show()"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": null,
|
||||
"execution_count": 9,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
@@ -270,45 +300,15 @@
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": null,
|
||||
"execution_count": 10,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"%matplotlib qt\n",
|
||||
"simpegmt.Utils.dataUtils.plotMT1DModelData(problem,modList[-3:-1])\n",
|
||||
"plt.show()"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 10,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"array([-6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081,\n",
|
||||
" -6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081,\n",
|
||||
" -6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081,\n",
|
||||
" -6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081,\n",
|
||||
" -6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081,\n",
|
||||
" -6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081,\n",
|
||||
" -6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081,\n",
|
||||
" -6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081,\n",
|
||||
" -6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081])"
|
||||
]
|
||||
},
|
||||
"execution_count": 10,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"reg.mref"
|
||||
"# %matplotlib qt\n",
|
||||
"# simpegmt.Utils.dataUtils.plotMT1DModelData(problem,modList[-3:-1])\n",
|
||||
"# plt.show()"
|
||||
]
|
||||
},
|
||||
{
|
||||
@@ -317,6 +317,28 @@
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"78.694562868192662"
|
||||
]
|
||||
},
|
||||
"execution_count": 11,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"np.linalg.norm(mopt - reg.mref)\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 12,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
@@ -332,18 +354,18 @@
|
||||
" -6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081])"
|
||||
]
|
||||
},
|
||||
"execution_count": 11,
|
||||
"execution_count": 12,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"m_0"
|
||||
"reg.mref"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 12,
|
||||
"execution_count": 13,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
@@ -369,7 +391,7 @@
|
||||
" -5.82076609e-11])"
|
||||
]
|
||||
},
|
||||
"execution_count": 12,
|
||||
"execution_count": 13,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
@@ -414,6 +436,160 @@
|
||||
"m1d.gridN[active]"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 15,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"self = reg\n",
|
||||
"r1 = self.W * ( self.mapping * (m_0) )\n",
|
||||
"r2 = self.Ws * ( self.mapping * (self.mref) )"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 16,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"array([-6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081,\n",
|
||||
" -6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081,\n",
|
||||
" -6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081,\n",
|
||||
" -6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081,\n",
|
||||
" -6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081,\n",
|
||||
" -6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081,\n",
|
||||
" -6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081,\n",
|
||||
" -6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081,\n",
|
||||
" -6.2146081, -6.2146081, -6.2146081, -6.2146081, -6.2146081])"
|
||||
]
|
||||
},
|
||||
"execution_count": 16,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"( self.mapping * (m_0) )"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 17,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"<45x45 sparse matrix of type '<type 'numpy.float64'>'\n",
|
||||
"\twith 45 stored elements in Compressed Sparse Row format>"
|
||||
]
|
||||
},
|
||||
"execution_count": 17,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"self.Ws"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 18,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"<SimPEG.Maps.IdentityMap at 0x7f7c7b890390>"
|
||||
]
|
||||
},
|
||||
"execution_count": 18,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"self.mapping"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 19,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"-1.7347234759768071e-18"
|
||||
]
|
||||
},
|
||||
"execution_count": 19,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"0.5*(r1.dot(r1)-r2.dot(r2))"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 20,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"0.029467074824486239"
|
||||
]
|
||||
},
|
||||
"execution_count": 20,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"r1.dot(r1)"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 21,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"0.029467074824486243"
|
||||
]
|
||||
},
|
||||
"execution_count": 21,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"r2.dot(r2)"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": null,
|
||||
|
||||
@@ -30,23 +30,23 @@
|
||||
"nFreq = 31\n",
|
||||
"freqs = np.logspace(3,-3,nFreq)\n",
|
||||
"# Set mesh parameters\n",
|
||||
"ct = 10\n",
|
||||
"air = simpeg.Utils.meshTensor([(ct,25,1.3)])\n",
|
||||
"core = np.concatenate( ( np.kron(simpeg.Utils.meshTensor([(ct,5,-1.2)]),np.ones((3,))) , simpeg.Utils.meshTensor([(ct,5)]) ) )\n",
|
||||
"bot = simpeg.Utils.meshTensor([(core[0],25,-1.3)])\n",
|
||||
"ct = 20\n",
|
||||
"air = simpeg.Utils.meshTensor([(ct,16,1.4)])\n",
|
||||
"core = np.concatenate( ( np.kron(simpeg.Utils.meshTensor([(ct,10,-1.3)]),np.ones((5,))) , simpeg.Utils.meshTensor([(ct,5)]) ) )\n",
|
||||
"bot = simpeg.Utils.meshTensor([(core[0],10,-1.4)])\n",
|
||||
"x0 = -np.array([np.sum(np.concatenate((core,bot)))])\n",
|
||||
"# Make the model\n",
|
||||
"m1d = simpeg.Mesh.TensorMesh([np.concatenate((bot,core,air))], x0=x0)\n",
|
||||
"\n",
|
||||
"# Setup model varibles\n",
|
||||
"active = m1d.vectorCCx<0.\n",
|
||||
"layer1 = (m1d.vectorCCx<-200.) & (m1d.vectorCCx>=-600.)\n",
|
||||
"layer2 = (m1d.vectorCCx<-2000.) & (m1d.vectorCCx>=-4000.)\n",
|
||||
"layer1 = (m1d.vectorCCx<-500.) & (m1d.vectorCCx>=-800.)\n",
|
||||
"layer2 = (m1d.vectorCCx<-3500.) & (m1d.vectorCCx>=-5000.)\n",
|
||||
"# Set the conductivity values\n",
|
||||
"sig_half = 2e-3\n",
|
||||
"sig_air = 1e-8\n",
|
||||
"sig_layer1 = 1\n",
|
||||
"sig_layer2 = .1\n",
|
||||
"sig_layer1 = .2\n",
|
||||
"sig_layer2 = .2\n",
|
||||
"# Make the true model\n",
|
||||
"sigma_true = np.ones(m1d.nCx)*sig_air\n",
|
||||
"sigma_true[active] = sig_half\n",
|
||||
@@ -109,19 +109,19 @@
|
||||
"else:\n",
|
||||
" d_true = survey.dpred(m_true)\n",
|
||||
" np.save('MT1D_dtrue.npy',d_true)\n",
|
||||
" d_obs = std*abs(d_true)*np.random.randn(*d_true.shape)\n",
|
||||
" d_obs = d_true + std*abs(d_true)*np.random.randn(*d_true.shape)\n",
|
||||
" np.save('MT1D_dobs.npy',d_obs)\n",
|
||||
"# Assign the dobs\n",
|
||||
"survey.dtrue = d_true\n",
|
||||
"survey.dobs = d_obs\n",
|
||||
"survey.std = survey.dobs*0 + std\n",
|
||||
"survey.std = np.abs(survey.dobs*std) + 0.01*np.linalg.norm(survey.dobs) #survey.dobs*0 + std\n",
|
||||
"# Assign the data weight\n",
|
||||
"survey.Wd = 1/(abs(survey.dobs)*survey.std)"
|
||||
"survey.Wd = 1/survey.std #(abs(survey.dobs)*survey.std)"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 12,
|
||||
"execution_count": 5,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
@@ -140,14 +140,14 @@
|
||||
"dmis = simpeg.DataMisfit.l2_DataMisfit(survey)\n",
|
||||
"# Regularization\n",
|
||||
"# Either have to use \n",
|
||||
"if False:\n",
|
||||
"if True:\n",
|
||||
" regMesh = simpeg.Mesh.TensorMesh([m1d.hx[problem.mapping.sigmaMap.maps[-1].indActive]],m1d.x0)\n",
|
||||
" reg = simpeg.Regularization.Tikhonov(regMesh)\n",
|
||||
"else:\n",
|
||||
" reg = simpeg.Regularization.Tikhonov(m1d,mapping=mappingExpAct)\n",
|
||||
"reg.alpha_s = 1e-6\n",
|
||||
"reg.smoothModel = True\n",
|
||||
"reg.alpha_s = 1e-7\n",
|
||||
"reg.alpha_x = 1.\n",
|
||||
"\n",
|
||||
"# Inversion problem\n",
|
||||
"invProb = simpeg.InvProblem.BaseInvProblem(dmis, reg, opt)\n",
|
||||
"invProb.counter = C\n",
|
||||
@@ -155,15 +155,16 @@
|
||||
"beta = simpeg.Directives.BetaSchedule()\n",
|
||||
"betaest = simpeg.Directives.BetaEstimate_ByEig(beta0_ratio=0.75)\n",
|
||||
"targmis = simpeg.Directives.TargetMisfit()\n",
|
||||
"targmis.target = 1/2 * survey.nD\n",
|
||||
"saveModel = simpeg.Directives.SaveModelEveryIteration()\n",
|
||||
"saveModel.fileName = 'Inversion_TargMisEqnD'\n",
|
||||
"saveModel.fileName = 'Inversion_TargMisEqnD_smoothTrue'\n",
|
||||
"# Create an inversion object\n",
|
||||
"inv = simpeg.Inversion.BaseInversion(invProb, directiveList=[beta,betaest,targmis,saveModel]) \n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 13,
|
||||
"execution_count": 6,
|
||||
"metadata": {
|
||||
"collapsed": false,
|
||||
"scrolled": false
|
||||
@@ -177,85 +178,355 @@
|
||||
"SimPEG.InvProblem is setting bfgsH0 to the inverse of the eval2Deriv.\n",
|
||||
" ***Done using same solver as the problem***\n",
|
||||
"SimPEG.l2_DataMisfit is creating default weightings for Wd.\n",
|
||||
"SimPEG.SaveModelEveryIteration will save your models as: '###-Inversion_TargMisEqnD.npy'\n",
|
||||
"SimPEG.SaveModelEveryIteration will save your models as: '###-Inversion_TargMisEqnD_smoothTrue.npy'\n",
|
||||
"============================ Inexact Gauss Newton ============================\n",
|
||||
" # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n",
|
||||
"-----------------------------------------------------------------------------\n",
|
||||
" 0 7.52e+05 1.32e+06 4.79e-07 1.32e+06 3.23e+05 0 \n",
|
||||
" 1 7.52e+05 1.91e+05 1.61e-06 1.91e+05 4.88e+04 0 \n",
|
||||
" 2 7.52e+05 8.47e+04 3.06e-06 8.47e+04 2.41e+04 0 Skip BFGS \n",
|
||||
" 3 9.41e+04 7.39e+04 3.58e-06 7.39e+04 2.12e+04 0 Skip BFGS \n",
|
||||
" 4 9.41e+04 4.00e+04 7.90e-06 4.00e+04 1.19e+04 0 Skip BFGS \n",
|
||||
" 5 9.41e+04 3.37e+04 1.00e-05 3.37e+04 1.02e+04 0 Skip BFGS \n",
|
||||
" 6 1.18e+04 3.00e+04 1.18e-05 3.00e+04 9.10e+03 0 Skip BFGS \n",
|
||||
" 7 1.18e+04 1.71e+04 2.61e-05 1.71e+04 5.44e+03 0 Skip BFGS \n",
|
||||
" 8 1.18e+04 1.41e+04 3.38e-05 1.41e+04 4.61e+03 0 Skip BFGS \n",
|
||||
" 9 1.47e+03 1.25e+04 4.02e-05 1.25e+04 4.12e+03 0 Skip BFGS \n",
|
||||
" 10 1.47e+03 6.91e+03 8.84e-05 6.91e+03 2.48e+03 0 Skip BFGS \n",
|
||||
" 11 1.47e+03 5.65e+03 1.15e-04 5.65e+03 2.09e+03 0 Skip BFGS \n",
|
||||
" 12 1.84e+02 4.93e+03 1.36e-04 4.93e+03 1.87e+03 0 Skip BFGS \n",
|
||||
" 13 1.84e+02 2.73e+03 2.85e-04 2.73e+03 1.14e+03 0 Skip BFGS \n",
|
||||
" 14 1.84e+02 2.22e+03 3.66e-04 2.22e+03 9.55e+02 0 Skip BFGS \n",
|
||||
" 15 2.30e+01 1.95e+03 4.32e-04 1.95e+03 8.48e+02 0 Skip BFGS \n",
|
||||
" 16 2.30e+01 1.16e+03 8.20e-04 1.16e+03 5.20e+02 0 Skip BFGS \n",
|
||||
" 17 2.30e+01 9.61e+02 1.03e-03 9.61e+02 4.28e+02 0 Skip BFGS \n",
|
||||
" 18 2.87e+00 8.51e+02 1.19e-03 8.51e+02 3.75e+02 0 Skip BFGS \n",
|
||||
" 19 2.87e+00 5.60e+02 2.03e-03 5.60e+02 2.24e+02 0 Skip BFGS \n",
|
||||
" 20 2.87e+00 4.64e+02 2.44e-03 4.64e+02 1.82e+02 0 Skip BFGS \n",
|
||||
" 21 3.59e-01 4.09e+02 2.74e-03 4.09e+02 1.59e+02 0 Skip BFGS \n",
|
||||
" 22 3.59e-01 2.75e+02 3.99e-03 2.75e+02 1.10e+02 0 Skip BFGS \n",
|
||||
" 23 3.59e-01 2.28e+02 4.59e-03 2.28e+02 8.98e+01 0 \n",
|
||||
" 24 4.48e-02 1.85e+02 4.88e-03 1.85e+02 8.62e+01 0 Skip BFGS \n",
|
||||
" 25 4.48e-02 1.26e+02 6.70e-03 1.26e+02 7.39e+01 0 Skip BFGS \n",
|
||||
" 26 4.48e-02 8.27e+01 7.76e-03 8.27e+01 5.01e+01 0 \n",
|
||||
" 27 5.61e-03 6.54e+01 8.37e-03 6.54e+01 5.22e+01 1 \n",
|
||||
" 0 3.72e+05 2.18e+05 0.00e+00 2.18e+05 4.01e+04 0 \n",
|
||||
" 1 3.72e+05 2.50e+04 2.19e-03 2.58e+04 5.62e+03 0 \n",
|
||||
" 2 3.72e+05 3.39e+03 4.60e-03 5.10e+03 1.01e+03 0 Skip BFGS \n",
|
||||
" 3 4.65e+04 1.91e+03 4.23e-03 2.10e+03 3.07e+02 0 Skip BFGS \n",
|
||||
" 4 4.65e+04 1.18e+03 1.15e-02 1.72e+03 1.62e+02 0 Skip BFGS \n",
|
||||
" 5 4.65e+04 1.00e+03 1.30e-02 1.60e+03 8.35e+01 0 \n",
|
||||
" 6 5.81e+03 8.78e+02 1.50e-02 9.66e+02 1.87e+02 0 Skip BFGS \n",
|
||||
" 7 5.81e+03 3.96e+02 5.56e-02 7.19e+02 2.51e+02 0 \n",
|
||||
" 8 5.81e+03 3.44e+02 3.87e-02 5.69e+02 1.35e+02 1 \n",
|
||||
" 9 7.26e+02 2.93e+02 4.41e-02 3.25e+02 9.13e+01 0 Skip BFGS \n",
|
||||
" 10 7.26e+02 2.41e+02 6.62e-02 2.89e+02 1.21e+02 1 \n",
|
||||
" 11 7.26e+02 1.47e+02 1.33e-01 2.44e+02 1.94e+02 0 \n",
|
||||
" 12 9.08e+01 1.35e+02 1.15e-01 1.45e+02 7.35e+01 0 \n",
|
||||
" 13 9.08e+01 8.40e+01 2.31e-01 1.05e+02 1.27e+02 0 \n",
|
||||
" 14 9.08e+01 7.09e+01 2.78e-01 9.61e+01 7.14e+01 0 \n",
|
||||
" 15 1.13e+01 6.65e+01 2.55e-01 6.94e+01 2.89e+01 0 \n",
|
||||
" 16 1.13e+01 6.41e+01 3.38e-01 6.80e+01 5.48e+01 0 \n",
|
||||
" 17 1.13e+01 5.44e+01 3.65e-01 5.85e+01 2.19e+01 0 \n",
|
||||
" 18 1.42e+00 5.04e+01 4.33e-01 5.10e+01 7.08e+01 0 Skip BFGS \n",
|
||||
" 19 1.42e+00 4.76e+01 4.52e-01 4.82e+01 1.68e+01 0 \n",
|
||||
" 20 1.42e+00 4.62e+01 4.72e-01 4.69e+01 1.39e+01 0 \n",
|
||||
" 21 1.77e-01 4.61e+01 4.68e-01 4.62e+01 1.08e+01 0 \n",
|
||||
" 22 1.77e-01 4.54e+01 4.44e-01 4.55e+01 3.34e+01 0 Skip BFGS \n",
|
||||
" 23 1.77e-01 4.40e+01 4.46e-01 4.41e+01 1.57e+01 0 \n",
|
||||
" 24 2.22e-02 4.20e+01 3.77e-01 4.20e+01 2.55e+01 2 \n",
|
||||
" 25 2.22e-02 4.03e+01 3.16e-01 4.03e+01 2.54e+01 0 \n",
|
||||
" 26 2.22e-02 3.99e+01 3.82e-01 3.99e+01 2.41e+01 0 \n",
|
||||
" 27 2.77e-03 3.93e+01 3.49e-01 3.93e+01 3.42e+01 3 Skip BFGS \n",
|
||||
" 28 2.77e-03 3.88e+01 4.32e-01 3.88e+01 2.44e+01 0 \n",
|
||||
" 29 2.77e-03 3.87e+01 4.49e-01 3.87e+01 3.02e+01 2 Skip BFGS \n",
|
||||
" 30 3.46e-04 3.86e+01 4.63e-01 3.86e+01 2.54e+01 0 \n",
|
||||
" 31 3.46e-04 3.86e+01 4.39e-01 3.86e+01 2.32e+01 0 \n",
|
||||
" 32 3.46e-04 3.84e+01 4.42e-01 3.84e+01 2.16e+01 1 Skip BFGS \n",
|
||||
" 33 4.33e-05 3.84e+01 4.54e-01 3.84e+01 2.25e+01 0 Skip BFGS \n",
|
||||
" 34 4.33e-05 3.83e+01 4.44e-01 3.83e+01 2.15e+01 0 \n",
|
||||
" 35 4.33e-05 3.72e+01 4.57e-01 3.72e+01 1.65e+01 0 \n",
|
||||
" 36 5.41e-06 3.64e+01 4.85e-01 3.64e+01 2.32e+01 1 Skip BFGS \n",
|
||||
" 37 5.41e-06 3.61e+01 4.70e-01 3.61e+01 2.34e+01 2 \n",
|
||||
" 38 5.41e-06 3.56e+01 4.35e-01 3.56e+01 2.75e+01 2 Skip BFGS \n",
|
||||
" 39 6.76e-07 3.56e+01 4.43e-01 3.56e+01 2.21e+01 0 \n",
|
||||
" 40 6.76e-07 3.55e+01 4.44e-01 3.55e+01 2.07e+01 2 \n",
|
||||
" 41 6.76e-07 3.50e+01 4.62e-01 3.50e+01 2.21e+01 2 Skip BFGS \n",
|
||||
" 42 8.45e-08 3.49e+01 4.41e-01 3.49e+01 2.31e+01 2 \n",
|
||||
" 43 8.45e-08 3.28e+01 4.83e-01 3.28e+01 3.06e+01 0 Skip BFGS \n",
|
||||
" 44 8.45e-08 3.22e+01 5.30e-01 3.22e+01 2.44e+01 1 Skip BFGS \n",
|
||||
" 45 1.06e-08 3.19e+01 5.73e-01 3.19e+01 1.06e+01 0 Skip BFGS \n",
|
||||
" 46 1.06e-08 3.18e+01 5.27e-01 3.18e+01 1.20e+01 1 \n",
|
||||
" 47 1.06e-08 3.17e+01 4.59e-01 3.17e+01 9.10e+00 0 Skip BFGS \n",
|
||||
" 48 1.32e-09 3.17e+01 5.04e-01 3.17e+01 1.08e+01 2 \n",
|
||||
" 49 1.32e-09 3.16e+01 5.22e-01 3.16e+01 9.32e+00 0 \n",
|
||||
" 50 1.32e-09 3.13e+01 4.58e-01 3.13e+01 1.42e+01 1 \n",
|
||||
"------------------------- STOP! -------------------------\n",
|
||||
"1 : |fc-fOld| = 0.0000e+00 <= tolF*(1+|f0|) = 1.3164e+05\n",
|
||||
"0 : |xc-x_last| = 5.4748e+00 <= tolX*(1+|x0|) = 4.2689e+00\n",
|
||||
"0 : |proj(x-g)-x| = 5.2197e+01 <= tolG = 1.0000e-01\n",
|
||||
"0 : |proj(x-g)-x| = 5.2197e+01 <= 1e3*eps = 1.0000e-02\n",
|
||||
"0 : maxIter = 50 <= iter = 28\n",
|
||||
"------------------------- DONE! -------------------------\n"
|
||||
"1 : |fc-fOld| = 3.0199e-01 <= tolF*(1+|f0|) = 2.1833e+04\n",
|
||||
"1 : |xc-x_last| = 4.2553e+00 <= tolX*(1+|x0|) = 5.1104e+00\n",
|
||||
"0 : |proj(x-g)-x| = 1.4222e+01 <= tolG = 1.0000e-01\n",
|
||||
"0 : |proj(x-g)-x| = 1.4222e+01 <= 1e3*eps = 1.0000e-02\n",
|
||||
"1 : maxIter = 50 <= iter = 50\n",
|
||||
"------------------------- DONE! -------------------------\n",
|
||||
"SimPEG.InvProblem is setting bfgsH0 to the inverse of the eval2Deriv.\n",
|
||||
" ***Done using same solver as the problem***\n",
|
||||
"SimPEG.SaveModelEveryIteration will save your models as: '###-Inversion_TargMisEqnD_smoothTrue.npy'\n",
|
||||
"============================ Inexact Gauss Newton ============================\n",
|
||||
" # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n",
|
||||
"-----------------------------------------------------------------------------\n",
|
||||
" 0 1.70e+05 2.18e+05 0.00e+00 2.18e+05 4.01e+04 0 \n",
|
||||
" 1 1.70e+05 2.50e+04 2.22e-03 2.53e+04 5.66e+03 0 \n",
|
||||
" 2 1.70e+05 3.35e+03 4.85e-03 4.18e+03 9.85e+02 0 Skip BFGS \n",
|
||||
" 3 2.13e+04 1.64e+03 5.93e-03 1.77e+03 2.67e+02 0 Skip BFGS \n",
|
||||
" 4 2.13e+04 8.27e+02 2.45e-02 1.35e+03 2.67e+02 0 \n",
|
||||
" 5 2.13e+04 7.95e+02 1.83e-02 1.18e+03 1.28e+02 0 \n",
|
||||
" 6 2.66e+03 7.09e+02 2.17e-02 7.67e+02 1.49e+02 0 \n",
|
||||
" 7 2.66e+03 4.57e+02 7.33e-02 6.52e+02 2.10e+02 0 \n",
|
||||
" 8 2.66e+03 4.28e+02 5.88e-02 5.84e+02 1.75e+02 1 \n",
|
||||
" 9 3.32e+02 3.56e+02 7.66e-02 3.82e+02 1.12e+02 0 \n",
|
||||
" 10 3.32e+02 2.71e+02 1.23e-01 3.12e+02 1.62e+02 1 \n",
|
||||
" 11 3.32e+02 2.06e+02 1.90e-01 2.69e+02 1.31e+02 1 \n",
|
||||
" 12 4.15e+01 1.69e+02 2.30e-01 1.79e+02 1.30e+02 1 \n",
|
||||
" 13 4.15e+01 1.53e+02 6.02e-01 1.78e+02 2.84e+02 0 Skip BFGS \n",
|
||||
" 14 4.15e+01 1.08e+02 4.27e-01 1.26e+02 1.01e+02 0 \n",
|
||||
" 15 5.19e+00 7.04e+01 5.63e-01 7.33e+01 7.23e+01 0 \n",
|
||||
" 16 5.19e+00 6.28e+01 6.89e-01 6.64e+01 1.31e+02 1 Skip BFGS \n",
|
||||
" 17 5.19e+00 5.21e+01 9.36e-01 5.70e+01 1.20e+02 0 Skip BFGS \n",
|
||||
" 18 6.49e-01 4.37e+01 9.80e-01 4.43e+01 7.78e+00 0 Skip BFGS \n",
|
||||
" 19 6.49e-01 4.28e+01 1.10e+00 4.35e+01 1.60e+01 0 \n",
|
||||
" 20 6.49e-01 4.27e+01 1.18e+00 4.35e+01 1.31e+01 0 \n",
|
||||
" 21 8.11e-02 4.27e+01 1.23e+00 4.28e+01 1.39e+01 2 Skip BFGS \n",
|
||||
" 22 8.11e-02 4.26e+01 1.20e+00 4.27e+01 1.26e+01 2 \n",
|
||||
" 23 8.11e-02 4.16e+01 1.47e+00 4.17e+01 1.59e+01 2 \n",
|
||||
" 24 1.01e-02 4.13e+01 1.38e+00 4.13e+01 3.20e+01 0 Skip BFGS \n",
|
||||
" 25 1.01e-02 4.10e+01 1.37e+00 4.10e+01 1.70e+01 0 \n",
|
||||
" 26 1.01e-02 4.04e+01 1.44e+00 4.05e+01 2.21e+01 1 Skip BFGS \n",
|
||||
" 27 1.27e-03 4.01e+01 1.33e+00 4.01e+01 2.03e+01 2 \n",
|
||||
" 28 1.27e-03 4.00e+01 1.49e+00 4.00e+01 2.19e+01 0 \n",
|
||||
" 29 1.27e-03 4.00e+01 1.48e+00 4.00e+01 2.50e+01 2 \n",
|
||||
" 30 1.58e-04 4.00e+01 1.49e+00 4.00e+01 2.38e+01 2 \n",
|
||||
" 31 1.58e-04 3.99e+01 1.44e+00 3.99e+01 2.75e+01 2 \n",
|
||||
" 32 1.58e-04 3.97e+01 1.64e+00 3.97e+01 2.91e+01 1 \n",
|
||||
" 33 1.98e-05 3.93e+01 1.79e+00 3.93e+01 3.19e+01 3 Skip BFGS \n",
|
||||
" 34 1.98e-05 3.90e+01 2.03e+00 3.90e+01 3.42e+01 2 Skip BFGS \n",
|
||||
" 35 1.98e-05 3.88e+01 2.44e+00 3.88e+01 3.22e+01 1 Skip BFGS \n",
|
||||
" 36 2.47e-06 3.86e+01 1.90e+00 3.86e+01 1.92e+01 0 \n",
|
||||
" 37 2.47e-06 3.85e+01 2.26e+00 3.85e+01 2.25e+01 2 \n",
|
||||
" 38 2.47e-06 3.84e+01 2.25e+00 3.84e+01 2.03e+01 0 Skip BFGS \n",
|
||||
" 39 3.09e-07 3.84e+01 2.36e+00 3.84e+01 2.10e+01 0 \n",
|
||||
" 40 3.09e-07 3.84e+01 2.49e+00 3.84e+01 2.08e+01 2 Skip BFGS \n",
|
||||
" 41 3.09e-07 3.84e+01 2.37e+00 3.84e+01 2.08e+01 1 \n",
|
||||
" 42 3.87e-08 3.78e+01 2.59e+00 3.78e+01 1.62e+01 1 Skip BFGS \n",
|
||||
" 43 3.87e-08 3.77e+01 2.62e+00 3.77e+01 1.14e+01 0 Skip BFGS \n",
|
||||
" 44 3.87e-08 3.76e+01 2.83e+00 3.76e+01 1.67e+01 3 \n",
|
||||
" 45 4.83e-09 3.75e+01 2.80e+00 3.75e+01 2.17e+01 2 Skip BFGS \n",
|
||||
" 46 4.83e-09 3.73e+01 2.73e+00 3.73e+01 1.19e+01 0 \n",
|
||||
" 47 4.83e-09 3.71e+01 2.46e+00 3.71e+01 1.67e+01 2 \n",
|
||||
" 48 6.04e-10 3.71e+01 2.33e+00 3.71e+01 1.45e+01 0 \n",
|
||||
" 49 6.04e-10 3.71e+01 2.46e+00 3.71e+01 1.85e+01 1 \n",
|
||||
" 50 6.04e-10 3.70e+01 2.39e+00 3.70e+01 1.99e+01 3 Skip BFGS \n",
|
||||
"------------------------- STOP! -------------------------\n",
|
||||
"1 : |fc-fOld| = 2.5694e-02 <= tolF*(1+|f0|) = 2.1833e+04\n",
|
||||
"1 : |xc-x_last| = 1.9839e+00 <= tolX*(1+|x0|) = 5.1104e+00\n",
|
||||
"0 : |proj(x-g)-x| = 1.9850e+01 <= tolG = 1.0000e-01\n",
|
||||
"0 : |proj(x-g)-x| = 1.9850e+01 <= 1e3*eps = 1.0000e-02\n",
|
||||
"1 : maxIter = 50 <= iter = 50\n",
|
||||
"------------------------- DONE! -------------------------\n",
|
||||
"SimPEG.InvProblem is setting bfgsH0 to the inverse of the eval2Deriv.\n",
|
||||
" ***Done using same solver as the problem***\n",
|
||||
"SimPEG.SaveModelEveryIteration will save your models as: '###-Inversion_TargMisEqnD_smoothTrue.npy'\n",
|
||||
"============================ Inexact Gauss Newton ============================\n",
|
||||
" # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n",
|
||||
"-----------------------------------------------------------------------------\n",
|
||||
" 0 1.19e+05 2.18e+05 0.00e+00 2.18e+05 4.01e+04 0 Skip BFGS \n",
|
||||
" 1 1.19e+05 2.50e+04 2.22e-03 2.52e+04 5.67e+03 0 Skip BFGS \n",
|
||||
" 2 1.19e+05 3.35e+03 4.92e-03 3.93e+03 9.84e+02 0 Skip BFGS \n",
|
||||
" 3 1.49e+04 1.53e+03 7.13e-03 1.63e+03 2.55e+02 0 Skip BFGS \n",
|
||||
" 4 1.49e+04 7.29e+02 3.29e-02 1.22e+03 2.94e+02 0 \n",
|
||||
" 5 1.49e+04 6.80e+02 2.16e-02 1.00e+03 1.41e+02 0 \n",
|
||||
" 6 1.86e+03 6.17e+02 2.45e-02 6.63e+02 1.44e+02 0 \n",
|
||||
" 7 1.86e+03 4.77e+02 7.62e-02 6.19e+02 2.19e+02 0 \n",
|
||||
" 8 1.86e+03 4.43e+02 6.42e-02 5.63e+02 2.03e+02 1 \n",
|
||||
" 9 2.32e+02 3.74e+02 8.67e-02 3.94e+02 1.32e+02 0 \n",
|
||||
" 10 2.32e+02 2.67e+02 1.91e-01 3.11e+02 1.89e+02 1 \n",
|
||||
" 11 2.32e+02 1.29e+02 5.16e-01 2.49e+02 1.79e+02 0 Skip BFGS \n",
|
||||
" 12 2.91e+01 1.32e+02 3.87e-01 1.43e+02 1.57e+02 1 \n",
|
||||
" 13 2.91e+01 1.11e+02 6.45e-01 1.30e+02 1.91e+02 1 \n",
|
||||
" 14 2.91e+01 6.74e+01 9.75e-01 9.57e+01 1.25e+02 0 Skip BFGS \n",
|
||||
" 15 3.63e+00 5.28e+01 1.03e+00 5.66e+01 1.14e+01 0 Skip BFGS \n",
|
||||
" 16 3.63e+00 4.93e+01 1.04e+00 5.31e+01 3.75e+01 1 Skip BFGS \n",
|
||||
" 17 3.63e+00 4.65e+01 1.16e+00 5.07e+01 8.86e+01 0 \n",
|
||||
" 18 4.54e-01 4.36e+01 1.16e+00 4.42e+01 5.66e+01 0 \n",
|
||||
" 19 4.54e-01 4.18e+01 1.21e+00 4.23e+01 5.22e+01 1 Skip BFGS \n",
|
||||
" 20 4.54e-01 3.95e+01 1.24e+00 4.01e+01 1.23e+01 0 \n",
|
||||
" 21 5.68e-02 3.93e+01 1.26e+00 3.94e+01 1.03e+01 0 \n",
|
||||
" 22 5.68e-02 3.92e+01 1.29e+00 3.93e+01 9.85e+00 0 \n",
|
||||
" 23 5.68e-02 3.89e+01 1.44e+00 3.90e+01 1.92e+01 1 Skip BFGS \n",
|
||||
" 24 7.09e-03 3.87e+01 1.36e+00 3.87e+01 1.35e+01 0 \n",
|
||||
" 25 7.09e-03 3.86e+01 1.34e+00 3.86e+01 1.28e+01 0 Skip BFGS \n",
|
||||
" 26 7.09e-03 3.85e+01 1.36e+00 3.85e+01 1.29e+01 0 \n",
|
||||
" 27 8.87e-04 3.79e+01 1.32e+00 3.79e+01 1.64e+01 1 Skip BFGS \n",
|
||||
" 28 8.87e-04 3.79e+01 1.30e+00 3.79e+01 1.60e+01 0 \n",
|
||||
" 29 8.87e-04 3.79e+01 1.22e+00 3.79e+01 2.12e+01 0 Skip BFGS \n",
|
||||
" 30 1.11e-04 3.77e+01 1.26e+00 3.77e+01 1.51e+01 0 \n",
|
||||
" 31 1.11e-04 3.77e+01 1.24e+00 3.77e+01 1.43e+01 0 Skip BFGS \n",
|
||||
" 32 1.11e-04 3.76e+01 1.24e+00 3.76e+01 1.51e+01 0 \n",
|
||||
" 33 1.39e-05 3.75e+01 1.29e+00 3.75e+01 1.85e+01 2 Skip BFGS \n",
|
||||
" 34 1.39e-05 3.75e+01 1.24e+00 3.75e+01 1.58e+01 1 \n",
|
||||
" 35 1.39e-05 3.75e+01 1.17e+00 3.75e+01 1.76e+01 1 Skip BFGS \n",
|
||||
" 36 1.73e-06 3.75e+01 1.24e+00 3.75e+01 1.61e+01 1 \n",
|
||||
" 37 1.73e-06 3.74e+01 1.41e+00 3.74e+01 1.76e+01 3 Skip BFGS \n",
|
||||
" 38 1.73e-06 3.74e+01 1.37e+00 3.74e+01 1.76e+01 2 \n",
|
||||
" 39 2.17e-07 3.73e+01 1.45e+00 3.73e+01 2.92e+01 1 Skip BFGS \n",
|
||||
" 40 2.17e-07 3.71e+01 1.51e+00 3.71e+01 2.50e+01 1 \n",
|
||||
" 41 2.17e-07 3.70e+01 1.46e+00 3.70e+01 3.25e+01 0 \n",
|
||||
" 42 2.71e-08 3.67e+01 1.40e+00 3.67e+01 3.70e+01 2 Skip BFGS \n",
|
||||
" 43 2.71e-08 3.67e+01 1.39e+00 3.67e+01 3.64e+01 2 Skip BFGS \n",
|
||||
" 44 2.71e-08 3.66e+01 1.40e+00 3.66e+01 3.47e+01 2 \n",
|
||||
" 45 3.38e-09 3.62e+01 1.30e+00 3.62e+01 2.46e+01 1 Skip BFGS \n",
|
||||
" 46 3.38e-09 3.61e+01 1.24e+00 3.61e+01 1.97e+01 1 Skip BFGS \n",
|
||||
" 47 3.38e-09 3.61e+01 1.28e+00 3.61e+01 2.11e+01 1 \n",
|
||||
" 48 4.23e-10 3.60e+01 1.28e+00 3.60e+01 1.81e+01 0 Skip BFGS \n",
|
||||
" 49 4.23e-10 3.60e+01 1.26e+00 3.60e+01 1.81e+01 1 \n",
|
||||
" 50 4.23e-10 3.59e+01 1.27e+00 3.59e+01 1.80e+01 1 \n",
|
||||
"------------------------- STOP! -------------------------\n",
|
||||
"1 : |fc-fOld| = 1.8765e-02 <= tolF*(1+|f0|) = 2.1833e+04\n",
|
||||
"1 : |xc-x_last| = 4.3809e-01 <= tolX*(1+|x0|) = 5.1104e+00\n",
|
||||
"0 : |proj(x-g)-x| = 1.8033e+01 <= tolG = 1.0000e-01\n",
|
||||
"0 : |proj(x-g)-x| = 1.8033e+01 <= 1e3*eps = 1.0000e-02\n",
|
||||
"1 : maxIter = 50 <= iter = 50\n",
|
||||
"------------------------- DONE! -------------------------\n",
|
||||
"SimPEG.InvProblem is setting bfgsH0 to the inverse of the eval2Deriv.\n",
|
||||
" ***Done using same solver as the problem***\n",
|
||||
"SimPEG.SaveModelEveryIteration will save your models as: '###-Inversion_TargMisEqnD_smoothTrue.npy'\n",
|
||||
"============================ Inexact Gauss Newton ============================\n",
|
||||
" # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n",
|
||||
"-----------------------------------------------------------------------------\n",
|
||||
" 0 2.04e+05 2.18e+05 0.00e+00 2.18e+05 4.01e+04 0 \n",
|
||||
" 1 2.04e+05 2.50e+04 2.21e-03 2.54e+04 5.65e+03 0 \n",
|
||||
" 2 2.04e+05 3.36e+03 4.81e-03 4.34e+03 9.87e+02 0 Skip BFGS \n",
|
||||
" 3 2.55e+04 1.70e+03 5.43e-03 1.84e+03 2.74e+02 0 Skip BFGS \n",
|
||||
" 4 2.55e+04 8.94e+02 2.07e-02 1.42e+03 2.45e+02 0 \n",
|
||||
" 5 2.55e+04 8.27e+02 1.76e-02 1.28e+03 1.27e+02 0 \n",
|
||||
" 6 3.19e+03 7.66e+02 1.96e-02 8.29e+02 1.52e+02 0 \n",
|
||||
" 7 3.19e+03 4.82e+02 7.40e-02 7.18e+02 2.52e+02 0 \n",
|
||||
" 8 3.19e+03 4.13e+02 6.65e-02 6.25e+02 1.58e+02 0 \n",
|
||||
" 9 3.98e+02 3.81e+02 7.32e-02 4.11e+02 1.43e+02 0 \n",
|
||||
" 10 3.98e+02 2.69e+02 1.28e-01 3.20e+02 1.49e+02 1 \n",
|
||||
" 11 3.98e+02 2.01e+02 2.10e-01 2.84e+02 1.84e+02 0 \n",
|
||||
" 12 4.98e+01 1.66e+02 2.25e-01 1.78e+02 1.25e+02 0 \n",
|
||||
" 13 4.98e+01 1.28e+02 3.65e-01 1.46e+02 9.89e+01 0 \n",
|
||||
" 14 4.98e+01 1.05e+02 4.50e-01 1.27e+02 1.64e+02 1 \n",
|
||||
" 15 6.23e+00 6.86e+01 5.39e-01 7.19e+01 1.64e+02 0 Skip BFGS \n",
|
||||
" 16 6.23e+00 4.97e+01 5.96e-01 5.34e+01 1.16e+01 0 Skip BFGS \n",
|
||||
" 17 6.23e+00 4.83e+01 6.74e-01 5.25e+01 1.77e+01 0 Skip BFGS \n",
|
||||
" 18 7.78e-01 4.76e+01 6.83e-01 4.81e+01 8.50e+00 0 \n",
|
||||
" 19 7.78e-01 4.67e+01 7.68e-01 4.73e+01 6.91e+00 0 Skip BFGS \n",
|
||||
" 20 7.78e-01 4.65e+01 7.23e-01 4.71e+01 3.93e+01 0 \n",
|
||||
" 21 9.73e-02 4.58e+01 8.12e-01 4.59e+01 5.65e+01 2 \n",
|
||||
" 22 9.73e-02 4.55e+01 7.62e-01 4.55e+01 3.81e+01 0 \n",
|
||||
" 23 9.73e-02 4.52e+01 6.89e-01 4.53e+01 3.60e+01 2 \n",
|
||||
" 24 1.22e-02 4.48e+01 7.67e-01 4.48e+01 3.68e+01 1 \n",
|
||||
" 25 1.22e-02 4.46e+01 7.74e-01 4.46e+01 3.70e+01 3 \n",
|
||||
" 26 1.22e-02 4.45e+01 7.45e-01 4.45e+01 4.29e+01 2 \n",
|
||||
" 27 1.52e-03 4.43e+01 7.79e-01 4.43e+01 4.13e+01 2 \n",
|
||||
" 28 1.52e-03 4.39e+01 7.69e-01 4.39e+01 4.83e+01 2 \n",
|
||||
" 29 1.52e-03 4.38e+01 7.82e-01 4.38e+01 6.21e+01 0 Skip BFGS \n",
|
||||
" 30 1.90e-04 4.36e+01 7.74e-01 4.36e+01 5.22e+01 1 \n",
|
||||
" 31 1.90e-04 4.36e+01 7.93e-01 4.36e+01 5.35e+01 2 \n",
|
||||
" 32 1.90e-04 4.31e+01 7.77e-01 4.31e+01 5.43e+01 1 \n",
|
||||
" 33 2.38e-05 4.11e+01 8.44e-01 4.11e+01 2.16e+01 0 \n",
|
||||
" 34 2.38e-05 4.05e+01 9.56e-01 4.05e+01 2.25e+01 0 \n",
|
||||
" 35 2.38e-05 4.03e+01 9.07e-01 4.03e+01 1.80e+01 1 \n",
|
||||
" 36 2.97e-06 4.03e+01 8.80e-01 4.03e+01 2.09e+01 3 \n",
|
||||
" 37 2.97e-06 4.03e+01 8.13e-01 4.03e+01 2.11e+01 2 Skip BFGS \n",
|
||||
" 38 2.97e-06 4.01e+01 8.53e-01 4.01e+01 2.04e+01 2 \n",
|
||||
" 39 3.71e-07 4.00e+01 8.76e-01 4.00e+01 1.56e+01 0 \n",
|
||||
" 40 3.71e-07 3.99e+01 9.15e-01 3.99e+01 1.25e+01 0 \n",
|
||||
" 41 3.71e-07 3.94e+01 9.05e-01 3.94e+01 1.02e+01 1 \n",
|
||||
" 42 4.64e-08 3.92e+01 9.48e-01 3.92e+01 8.52e+00 0 Skip BFGS \n",
|
||||
" 43 4.64e-08 3.91e+01 8.92e-01 3.91e+01 4.37e+00 0 \n",
|
||||
" 44 4.64e-08 3.89e+01 9.26e-01 3.89e+01 1.63e+01 1 \n",
|
||||
" 45 5.80e-09 3.88e+01 8.77e-01 3.88e+01 1.21e+01 0 \n",
|
||||
" 46 5.80e-09 3.88e+01 9.08e-01 3.88e+01 1.54e+01 0 \n",
|
||||
" 47 5.80e-09 3.83e+01 7.94e-01 3.83e+01 1.77e+01 0 \n",
|
||||
" 48 7.25e-10 3.81e+01 8.11e-01 3.81e+01 1.68e+01 1 \n",
|
||||
" 49 7.25e-10 3.81e+01 7.94e-01 3.81e+01 1.47e+01 0 \n",
|
||||
" 50 7.25e-10 3.80e+01 8.16e-01 3.80e+01 1.90e+01 3 Skip BFGS \n",
|
||||
"------------------------- STOP! -------------------------\n",
|
||||
"1 : |fc-fOld| = 1.5226e-01 <= tolF*(1+|f0|) = 2.1833e+04\n",
|
||||
"1 : |xc-x_last| = 1.1100e+00 <= tolX*(1+|x0|) = 5.1104e+00\n",
|
||||
"0 : |proj(x-g)-x| = 1.8975e+01 <= tolG = 1.0000e-01\n",
|
||||
"0 : |proj(x-g)-x| = 1.8975e+01 <= 1e3*eps = 1.0000e-02\n",
|
||||
"1 : maxIter = 50 <= iter = 50\n",
|
||||
"------------------------- DONE! -------------------------\n",
|
||||
"1 loops, best of 3: 20min 52s per loop\n"
|
||||
]
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"%%timeit\n",
|
||||
"# Run the inversion, given the background model as a start.\n",
|
||||
"mopt = inv.run(m_0)"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 14,
|
||||
"execution_count": 7,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"image/png": 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truncated
|
||||
"text/plain": [
|
||||
"<matplotlib.figure.Figure at 0x7fef773ac550>"
|
||||
]
|
||||
},
|
||||
"metadata": {},
|
||||
"output_type": "display_data"
|
||||
"ename": "NameError",
|
||||
"evalue": "name 'mopt' is not defined",
|
||||
"output_type": "error",
|
||||
"traceback": [
|
||||
"\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
|
||||
"\u001b[1;31mNameError\u001b[0m Traceback (most recent call last)",
|
||||
"\u001b[1;32m<ipython-input-7-915cfd00243c>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[0;32m 1\u001b[0m \u001b[0mget_ipython\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mmagic\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34mu'matplotlib inline'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 2\u001b[1;33m \u001b[0mfig\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0msimpegmt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mUtils\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdataUtils\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mplotMT1DModelData\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mproblem\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mm_0\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mmopt\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 3\u001b[0m \u001b[0mfig\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msuptitle\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'Target - smooth true'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 4\u001b[0m \u001b[0mplt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mshow\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
|
||||
"\u001b[1;31mNameError\u001b[0m: name 'mopt' is not defined"
|
||||
]
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"%matplotlib inline\n",
|
||||
"simpegmt.Utils.dataUtils.plotMT1DModelData(problem,[m_0,mopt])\n",
|
||||
"fig = simpegmt.Utils.dataUtils.plotMT1DModelData(problem,[m_0,mopt])\n",
|
||||
"fig.suptitle('Target - smooth true')\n",
|
||||
"plt.show()\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 11,
|
||||
"execution_count": null,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
"outputs": [],
|
||||
"source": []
|
||||
"source": [
|
||||
"reg.alpha_xx = 0.001\n",
|
||||
"saveModel.fileName = 'Inversion_TargMisEqnD_smoothTrue_Wxx'"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": null,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"%%timeit\n",
|
||||
"moptWxx = inv.run(m_0)"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": null,
|
||||
"metadata": {
|
||||
"collapsed": true
|
||||
},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"moptWxx = Out[11]"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": null,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"%matplotlib inline\n",
|
||||
"fig = simpegmt.Utils.dataUtils.plotMT1DModelData(problem,[m_0,moptWxx])\n",
|
||||
"fig.suptitle('Target - smooth true-Wxx as 0.001')\n",
|
||||
"plt.show()"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": null,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"1/np.exp(moptWxx)"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
@@ -272,18 +543,6 @@
|
||||
"display_name": "Python 2",
|
||||
"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": "2.7.10"
|
||||
}
|
||||
},
|
||||
"nbformat": 4,
|
||||
|
||||
@@ -2,7 +2,7 @@
|
||||
"cells": [
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 2,
|
||||
"execution_count": 1,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
@@ -17,7 +17,7 @@
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 3,
|
||||
"execution_count": 2,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
@@ -30,23 +30,23 @@
|
||||
"nFreq = 31\n",
|
||||
"freqs = np.logspace(3,-3,nFreq)\n",
|
||||
"# Set mesh parameters\n",
|
||||
"ct = 10\n",
|
||||
"air = simpeg.Utils.meshTensor([(ct,25,1.3)])\n",
|
||||
"core = np.concatenate( ( np.kron(simpeg.Utils.meshTensor([(ct,5,-1.2)]),np.ones((3,))) , simpeg.Utils.meshTensor([(ct,5)]) ) )\n",
|
||||
"bot = simpeg.Utils.meshTensor([(core[0],25,-1.3)])\n",
|
||||
"ct = 20\n",
|
||||
"air = simpeg.Utils.meshTensor([(ct,16,1.4)])\n",
|
||||
"core = np.concatenate( ( np.kron(simpeg.Utils.meshTensor([(ct,10,-1.3)]),np.ones((5,))) , simpeg.Utils.meshTensor([(ct,5)]) ) )\n",
|
||||
"bot = simpeg.Utils.meshTensor([(core[0],10,-1.4)])\n",
|
||||
"x0 = -np.array([np.sum(np.concatenate((core,bot)))])\n",
|
||||
"# Make the model\n",
|
||||
"m1d = simpeg.Mesh.TensorMesh([np.concatenate((bot,core,air))], x0=x0)\n",
|
||||
"\n",
|
||||
"# Setup model varibles\n",
|
||||
"active = m1d.vectorCCx<0.\n",
|
||||
"layer1 = (m1d.vectorCCx<-200.) & (m1d.vectorCCx>=-600.)\n",
|
||||
"layer2 = (m1d.vectorCCx<-2000.) & (m1d.vectorCCx>=-4000.)\n",
|
||||
"layer1 = (m1d.vectorCCx<-500.) & (m1d.vectorCCx>=-800.)\n",
|
||||
"layer2 = (m1d.vectorCCx<-3500.) & (m1d.vectorCCx>=-5000.)\n",
|
||||
"# Set the conductivity values\n",
|
||||
"sig_half = 2e-3\n",
|
||||
"sig_air = 1e-8\n",
|
||||
"sig_layer1 = 1\n",
|
||||
"sig_layer2 = .1\n",
|
||||
"sig_layer1 = .2\n",
|
||||
"sig_layer2 = .2\n",
|
||||
"# Make the true model\n",
|
||||
"sigma_true = np.ones(m1d.nCx)*sig_air\n",
|
||||
"sigma_true[active] = sig_half\n",
|
||||
@@ -66,7 +66,7 @@
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 4,
|
||||
"execution_count": 3,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
@@ -94,7 +94,7 @@
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 5,
|
||||
"execution_count": 4,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
@@ -109,19 +109,19 @@
|
||||
"else:\n",
|
||||
" d_true = survey.dpred(m_true)\n",
|
||||
" np.save('MT1D_dtrue.npy',d_true)\n",
|
||||
" d_obs = std*abs(d_true)*np.random.randn(*d_true.shape)\n",
|
||||
" d_obs = d_true + std*abs(d_true)*np.random.randn(*d_true.shape)\n",
|
||||
" np.save('MT1D_dobs.npy',d_obs)\n",
|
||||
"# Assign the dobs\n",
|
||||
"survey.dtrue = d_true\n",
|
||||
"survey.dobs = d_obs\n",
|
||||
"survey.std = survey.dobs*0 + std\n",
|
||||
"survey.std = np.abs(survey.dobs*std) + 0.01*np.linalg.norm(survey.dobs) #survey.dobs*0 + std\n",
|
||||
"# Assign the data weight\n",
|
||||
"survey.Wd = 1/(abs(survey.dobs)*survey.std)"
|
||||
"survey.Wd = 1/survey.std #(abs(survey.dobs)*survey.std)"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 6,
|
||||
"execution_count": 5,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
@@ -132,7 +132,7 @@
|
||||
"# Define a counter\n",
|
||||
"C = simpeg.Utils.Counter()\n",
|
||||
"# Set the optimization\n",
|
||||
"opt = simpeg.Optimization.InexactGaussNewton(maxIter = 50)\n",
|
||||
"opt = simpeg.Optimization.InexactGaussNewton(maxIter = 30)\n",
|
||||
"opt.counter = C\n",
|
||||
"opt.LSshorten = 0.5\n",
|
||||
"opt.remember('xc')\n",
|
||||
@@ -145,9 +145,10 @@
|
||||
" reg = simpeg.Regularization.Tikhonov(regMesh)\n",
|
||||
"else:\n",
|
||||
" reg = simpeg.Regularization.Tikhonov(m1d,mapping=mappingExpAct)\n",
|
||||
"reg.alpha_s = 1e-6\n",
|
||||
"reg.smoothModel = False\n",
|
||||
"reg.alpha_s = 1e-7\n",
|
||||
"reg.alpha_x = 1.\n",
|
||||
"\n",
|
||||
"# reg.alpha_xx = .001\n",
|
||||
"# Inversion problem\n",
|
||||
"invProb = simpeg.InvProblem.BaseInvProblem(dmis, reg, opt)\n",
|
||||
"invProb.counter = C\n",
|
||||
@@ -155,15 +156,16 @@
|
||||
"beta = simpeg.Directives.BetaSchedule()\n",
|
||||
"betaest = simpeg.Directives.BetaEstimate_ByEig(beta0_ratio=0.75)\n",
|
||||
"targmis = simpeg.Directives.TargetMisfit()\n",
|
||||
"targmis.target = 1/2 * survey.nD\n",
|
||||
"saveModel = simpeg.Directives.SaveModelEveryIteration()\n",
|
||||
"saveModel.fileName = 'Inversion_TargMisEqnDregMesh'\n",
|
||||
"saveModel.fileName = 'Inversion_TargMisEqnDregMesh_smoothFalse'\n",
|
||||
"# Create an inversion object\n",
|
||||
"inv = simpeg.Inversion.BaseInversion(invProb, directiveList=[beta,betaest,targmis,saveModel]) \n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 7,
|
||||
"execution_count": 6,
|
||||
"metadata": {
|
||||
"collapsed": false,
|
||||
"scrolled": false
|
||||
@@ -173,33 +175,67 @@
|
||||
"name": "stdout",
|
||||
"output_type": "stream",
|
||||
"text": [
|
||||
"Mon, 06 Jul 2015 15:56:58 +0000\n",
|
||||
"SimPEG.InvProblem will set Regularization.mref to m0.\n",
|
||||
"SimPEG.InvProblem is setting bfgsH0 to the inverse of the eval2Deriv.\n",
|
||||
" ***Done using same solver as the problem***\n",
|
||||
"SimPEG.l2_DataMisfit is creating default weightings for Wd.\n",
|
||||
"SimPEG.SaveModelEveryIteration will save your models as: '###-Inversion_TargMisEqnDregMesh.npy'\n",
|
||||
"SimPEG.SaveModelEveryIteration will save your models as: '###-Inversion_TargMisEqnDregMesh_smoothFalse.npy'\n",
|
||||
"============================ Inexact Gauss Newton ============================\n",
|
||||
" # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n",
|
||||
"-----------------------------------------------------------------------------\n",
|
||||
" 0 5.15e+05 1.32e+06 2.95e+00 2.83e+06 3.23e+05 0 \n",
|
||||
" 1 5.15e+05 1.66e+05 2.77e+00 1.59e+06 3.93e+04 0 \n",
|
||||
" 2 5.15e+05 2.22e+04 2.75e+00 1.44e+06 7.05e+03 0 Skip BFGS \n",
|
||||
"------------------------------------------------------------------\n",
|
||||
"0 : ft = 1.4405e+06 <= alp*descent = 1.4405e+06\n",
|
||||
"1 : maxIterLS = 10 <= iterLS = 10\n",
|
||||
"------------------------- End Linesearch -------------------------\n",
|
||||
"The linesearch got broken. Boo.\n"
|
||||
" 0 2.79e+05 2.18e+05 0.00e+00 2.18e+05 4.01e+04 0 \n",
|
||||
" 1 2.79e+05 2.50e+04 2.20e-03 2.56e+04 5.64e+03 0 \n",
|
||||
" 2 2.79e+05 3.37e+03 4.71e-03 4.68e+03 9.94e+02 0 Skip BFGS \n",
|
||||
" 3 3.48e+04 1.81e+03 4.72e-03 1.97e+03 2.88e+02 0 Skip BFGS \n",
|
||||
" 4 3.48e+04 1.03e+03 1.53e-02 1.57e+03 2.02e+02 0 Skip BFGS \n",
|
||||
" 5 3.48e+04 8.04e+02 1.70e-02 1.40e+03 1.02e+02 0 \n",
|
||||
" 6 4.35e+03 6.75e+02 1.98e-02 7.61e+02 1.50e+02 0 Skip BFGS \n",
|
||||
" 7 4.35e+03 3.41e+02 5.86e-02 5.96e+02 2.60e+02 0 \n",
|
||||
" 8 4.35e+03 4.04e+02 3.73e-02 5.67e+02 1.27e+02 0 \n",
|
||||
" 9 5.44e+02 3.85e+02 3.62e-02 4.05e+02 1.25e+02 1 \n",
|
||||
" 10 5.44e+02 2.92e+02 1.37e-01 3.66e+02 3.80e+02 0 \n",
|
||||
" 11 5.44e+02 2.08e+02 1.17e-01 2.71e+02 2.34e+02 1 \n",
|
||||
" 12 6.80e+01 8.59e+01 1.52e-01 9.63e+01 3.85e+01 0 Skip BFGS \n",
|
||||
" 13 6.80e+01 7.54e+01 1.76e-01 8.74e+01 7.22e+01 1 \n",
|
||||
" 14 6.80e+01 6.53e+01 2.09e-01 7.95e+01 4.35e+01 0 \n",
|
||||
" 15 8.50e+00 6.09e+01 2.13e-01 6.27e+01 4.35e+01 1 \n",
|
||||
" 16 8.50e+00 5.11e+01 3.14e-01 5.38e+01 6.93e+01 0 Skip BFGS \n",
|
||||
" 17 8.50e+00 4.66e+01 3.24e-01 4.93e+01 1.25e+01 0 \n",
|
||||
" 18 1.06e+00 4.55e+01 3.34e-01 4.59e+01 1.58e+01 0 \n",
|
||||
" 19 1.06e+00 4.26e+01 4.74e-01 4.31e+01 1.55e+01 0 \n",
|
||||
" 20 1.06e+00 4.25e+01 4.64e-01 4.30e+01 1.74e+01 0 \n",
|
||||
" 21 1.33e-01 4.22e+01 5.17e-01 4.22e+01 2.33e+01 2 \n",
|
||||
" 22 1.33e-01 4.20e+01 4.96e-01 4.21e+01 2.25e+01 1 \n",
|
||||
" 23 1.33e-01 4.18e+01 5.13e-01 4.19e+01 3.00e+01 0 \n",
|
||||
" 24 1.66e-02 4.13e+01 5.34e-01 4.13e+01 3.75e+01 1 Skip BFGS \n",
|
||||
" 25 1.66e-02 4.13e+01 4.91e-01 4.13e+01 2.33e+01 0 \n",
|
||||
" 26 1.66e-02 4.04e+01 3.75e-01 4.04e+01 2.85e+01 2 \n",
|
||||
" 27 2.08e-03 4.03e+01 3.92e-01 4.03e+01 2.55e+01 0 \n",
|
||||
" 28 2.08e-03 3.97e+01 3.50e-01 3.97e+01 3.04e+01 3 \n",
|
||||
" 29 2.08e-03 3.91e+01 3.46e-01 3.91e+01 3.72e+01 2 \n",
|
||||
" 30 2.59e-04 3.86e+01 4.32e-01 3.86e+01 3.71e+01 0 Skip BFGS \n",
|
||||
"------------------------- STOP! -------------------------\n",
|
||||
"1 : |fc-fOld| = 4.3953e-01 <= tolF*(1+|f0|) = 2.1833e+04\n",
|
||||
"1 : |xc-x_last| = 1.9611e+00 <= tolX*(1+|x0|) = 5.1104e+00\n",
|
||||
"0 : |proj(x-g)-x| = 3.7072e+01 <= tolG = 1.0000e-01\n",
|
||||
"0 : |proj(x-g)-x| = 3.7072e+01 <= 1e3*eps = 1.0000e-02\n",
|
||||
"1 : maxIter = 30 <= iter = 30\n",
|
||||
"------------------------- DONE! -------------------------\n",
|
||||
"CPU times: user 11min 29s, sys: 960 ms, total: 11min 30s\n",
|
||||
"Wall time: 11min 30s\n"
|
||||
]
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"# Run the inversion, given the background model as a start.\n",
|
||||
"%%time\n",
|
||||
"simpegmt.Utils.dataUtils.printTime()\n",
|
||||
"mopt = inv.run(m_0)"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 8,
|
||||
"execution_count": 7,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
@@ -226,9 +262,9 @@
|
||||
},
|
||||
{
|
||||
"data": {
|
||||
"image/png": 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truncated
|
||||
"image/png": 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truncated
|
||||
"text/plain": [
|
||||
"<matplotlib.figure.Figure at 0x7f0bd6798710>"
|
||||
"<matplotlib.figure.Figure at 0x7fab14b26910>"
|
||||
]
|
||||
},
|
||||
"metadata": {},
|
||||
@@ -238,9 +274,155 @@
|
||||
"source": [
|
||||
"%matplotlib inline\n",
|
||||
"simpegmt.Utils.dataUtils.plotMT1DModelData(problem,[m_0,mopt])\n",
|
||||
"plt.suptitle('Target misfit-smooth False')\n",
|
||||
"plt.show()\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 8,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"reg.alpha_xx = 0.001\n",
|
||||
"saveModel.fileName = 'Inversion_TargMisEqnDregMesh_smoothFalseWxx'"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 9,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
"outputs": [
|
||||
{
|
||||
"name": "stdout",
|
||||
"output_type": "stream",
|
||||
"text": [
|
||||
"Mon, 06 Jul 2015 16:08:31 +0000\n",
|
||||
"SimPEG.InvProblem is setting bfgsH0 to the inverse of the eval2Deriv.\n",
|
||||
" ***Done using same solver as the problem***\n",
|
||||
"SimPEG.SaveModelEveryIteration will save your models as: '###-Inversion_TargMisEqnDregMesh_smoothFalseWxx.npy'\n",
|
||||
"============================ Inexact Gauss Newton ============================\n",
|
||||
" # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n",
|
||||
"-----------------------------------------------------------------------------\n",
|
||||
" 0 2.41e+05 2.18e+05 0.00e+00 2.18e+05 4.01e+04 0 Skip BFGS \n",
|
||||
" 1 2.41e+05 2.50e+04 2.21e-03 2.55e+04 5.64e+03 0 Skip BFGS \n",
|
||||
" 2 2.41e+05 3.36e+03 4.76e-03 4.51e+03 9.90e+02 0 Skip BFGS \n",
|
||||
" 3 3.01e+04 1.76e+03 5.03e-03 1.91e+03 2.81e+02 0 Skip BFGS \n",
|
||||
" 4 3.01e+04 9.65e+02 1.77e-02 1.50e+03 2.23e+02 0 Skip BFGS \n",
|
||||
" 5 3.01e+04 7.17e+02 1.92e-02 1.29e+03 1.08e+02 0 \n",
|
||||
" 6 3.76e+03 5.91e+02 2.23e-02 6.75e+02 1.34e+02 0 Skip BFGS \n",
|
||||
" 7 3.76e+03 3.17e+02 5.95e-02 5.41e+02 2.60e+02 0 \n",
|
||||
" 8 3.76e+03 3.31e+02 4.15e-02 4.87e+02 1.12e+02 0 \n",
|
||||
" 9 4.70e+02 3.02e+02 4.38e-02 3.22e+02 1.07e+02 1 \n",
|
||||
" 10 4.70e+02 2.25e+02 1.46e-01 2.94e+02 3.72e+02 0 \n",
|
||||
" 11 4.70e+02 1.55e+02 1.23e-01 2.13e+02 2.31e+02 1 \n",
|
||||
" 12 5.88e+01 8.26e+01 1.35e-01 9.05e+01 5.12e+01 0 Skip BFGS \n",
|
||||
" 13 5.88e+01 7.00e+01 1.74e-01 8.02e+01 7.64e+01 0 Skip BFGS \n",
|
||||
" 14 5.88e+01 6.72e+01 1.77e-01 7.76e+01 3.88e+01 0 \n",
|
||||
" 15 7.35e+00 6.55e+01 1.88e-01 6.69e+01 3.28e+01 0 \n",
|
||||
" 16 7.35e+00 5.88e+01 2.19e-01 6.04e+01 4.50e+01 1 \n",
|
||||
" 17 7.35e+00 5.59e+01 2.43e-01 5.77e+01 4.95e+01 2 Skip BFGS \n",
|
||||
" 18 9.19e-01 5.33e+01 3.02e-01 5.36e+01 7.11e+01 0 Skip BFGS \n",
|
||||
" 19 9.19e-01 4.81e+01 3.05e-01 4.83e+01 1.18e+01 0 \n",
|
||||
" 20 9.19e-01 4.77e+01 3.34e-01 4.80e+01 1.56e+01 0 \n",
|
||||
" 21 1.15e-01 4.76e+01 3.47e-01 4.76e+01 1.33e+01 0 \n",
|
||||
" 22 1.15e-01 4.74e+01 3.49e-01 4.74e+01 9.70e+00 0 \n",
|
||||
" 23 1.15e-01 4.72e+01 3.60e-01 4.73e+01 1.33e+01 2 Skip BFGS \n",
|
||||
" 24 1.44e-02 4.66e+01 3.81e-01 4.66e+01 2.08e+01 0 \n",
|
||||
" 25 1.44e-02 4.65e+01 3.70e-01 4.65e+01 1.70e+01 0 \n",
|
||||
" 26 1.44e-02 4.52e+01 2.77e-01 4.52e+01 3.75e+01 2 Skip BFGS \n",
|
||||
" 27 1.79e-03 4.45e+01 2.81e-01 4.45e+01 1.81e+01 0 \n",
|
||||
" 28 1.79e-03 4.43e+01 2.78e-01 4.43e+01 1.40e+01 1 Skip BFGS \n",
|
||||
" 29 1.79e-03 4.42e+01 2.68e-01 4.42e+01 1.68e+01 1 \n",
|
||||
" 30 2.24e-04 4.31e+01 2.77e-01 4.31e+01 2.79e+01 1 Skip BFGS \n",
|
||||
"------------------------- STOP! -------------------------\n",
|
||||
"1 : |fc-fOld| = 1.1021e+00 <= tolF*(1+|f0|) = 2.1833e+04\n",
|
||||
"1 : |xc-x_last| = 1.0668e+00 <= tolX*(1+|x0|) = 5.1104e+00\n",
|
||||
"0 : |proj(x-g)-x| = 2.7855e+01 <= tolG = 1.0000e-01\n",
|
||||
"0 : |proj(x-g)-x| = 2.7855e+01 <= 1e3*eps = 1.0000e-02\n",
|
||||
"1 : maxIter = 30 <= iter = 30\n",
|
||||
"------------------------- DONE! -------------------------\n",
|
||||
"CPU times: user 11min 31s, sys: 484 ms, total: 11min 31s\n",
|
||||
"Wall time: 11min 31s\n"
|
||||
]
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"%%time\n",
|
||||
"simpegmt.Utils.dataUtils.printTime()\n",
|
||||
"moptWxx = inv.run(m_0)"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 10,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"image/png": 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truncated
|
||||
"text/plain": [
|
||||
"<matplotlib.figure.Figure at 0x7fab1024b7d0>"
|
||||
]
|
||||
},
|
||||
"metadata": {},
|
||||
"output_type": "display_data"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"%matplotlib inline\n",
|
||||
"simpegmt.Utils.dataUtils.plotMT1DModelData(problem,[mopt,moptWxx])\n",
|
||||
"plt.suptitle('Target misfit-smooth False-Wxx included')\n",
|
||||
"plt.show()"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 11,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"array([ 3.62176541e+02, 1.93066605e+03, 5.43119942e+02,\n",
|
||||
" 1.23983980e+02, 9.62568969e+01, 2.26952779e+02,\n",
|
||||
" 4.16015718e+02, 3.36033260e+02, 1.49361976e+02,\n",
|
||||
" 5.94809582e+01, 2.68597003e+01, 1.31073753e+01,\n",
|
||||
" 6.60576408e+00, 4.10892000e+00, 4.03067488e+00,\n",
|
||||
" 5.25251605e+00, 6.56267752e+00, 8.01989052e+00,\n",
|
||||
" 1.02889234e+01, 1.50359567e+01, 2.35198494e+01,\n",
|
||||
" 3.60094535e+01, 5.45566016e+01, 7.86143059e+01,\n",
|
||||
" 1.05154338e+02, 1.27026062e+02, 1.43644507e+02,\n",
|
||||
" 1.56945792e+02, 1.66362651e+02, 1.71043208e+02,\n",
|
||||
" 1.70082239e+02, 1.65514714e+02, 1.57395317e+02,\n",
|
||||
" 1.46351336e+02, 1.33299014e+02, 1.20754766e+02,\n",
|
||||
" 1.09753808e+02, 9.89302713e+01, 8.85290515e+01,\n",
|
||||
" 7.84946496e+01, 6.89501897e+01, 5.84210778e+01,\n",
|
||||
" 4.29656441e+01, 2.24842307e+01, 6.30396936e+00,\n",
|
||||
" 1.95241628e+00, 3.16204318e+00, 2.29981760e+01,\n",
|
||||
" 6.19914391e+01, 1.26262913e+02, 2.26157313e+02,\n",
|
||||
" 3.37249660e+02, 4.25572770e+02, 4.26317144e+02,\n",
|
||||
" 3.41068698e+02, 2.39971365e+02, 1.64269182e+02,\n",
|
||||
" 1.37876397e+02, 2.56982660e+02, 1.06313526e+03,\n",
|
||||
" 4.35525995e+03, 1.32851564e+04, 3.27770877e+04,\n",
|
||||
" 6.09617713e+04, 8.03476028e+04])"
|
||||
]
|
||||
},
|
||||
"execution_count": 11,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": []
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": null,
|
||||
|
||||
@@ -11,6 +11,175 @@
|
||||
"## Forward model a data"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 2,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"import SimPEG as simpeg\n",
|
||||
"import simpegMT as simpegmt\n",
|
||||
"import cPickle as pickle"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 3,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"## Setup the forward modeling\n",
|
||||
"# Read the model\n",
|
||||
"modelname = \"simpegTDmodel.con\"\n",
|
||||
"sigma = np.loadtxt(modelname)\n",
|
||||
"# Make the mesh.\n",
|
||||
"mTensor = simpeg.Utils.meshTensor\n",
|
||||
"cSize = [50,20]\n",
|
||||
"# Cells constant size mesh\n",
|
||||
"hx = mTensor([(cSize[0],50)])\n",
|
||||
"hy = mTensor([(cSize[0],50)])\n",
|
||||
"hz = mTensor([(cSize[1],48)])\n",
|
||||
"x0 = np.array([-1250,-1250,- 30*20])\n",
|
||||
"mesh3dCons = simpeg.Mesh.TensorMesh([hx,hy,hz],x0)\n",
|
||||
"# With padding\n",
|
||||
"hPad = mTensor([(cSize[0],5,1.5)])\n",
|
||||
"aPad = mTensor([(cSize[1],13,1.3)])\n",
|
||||
"bPad = mTensor([(cSize[1],5,-1.5)])\n",
|
||||
"hxPad = np.hstack((hPad[::-1],mTensor([(cSize[0],40)]),hPad))\n",
|
||||
"hyPad = np.hstack((hPad[::-1],mTensor([(cSize[0],40)]),hPad))\n",
|
||||
"hzPad = np.hstack((bPad,mTensor([(cSize[1],30)]),aPad))\n",
|
||||
"x0Pad = np.array([-(np.sum(hPad)+1000),-(np.sum(hPad)+1000),-(np.sum(bPad)+600)])\n",
|
||||
"mesh3d = simpeg.Mesh.TensorMesh([hxPad,hyPad,hzPad],x0Pad)"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 4,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"# Load the model to the uniform cell mesh\n",
|
||||
"modelUniCell = simpeg.Utils.meshutils.readUBCTensorModel(modelname,mesh3dCons)\n",
|
||||
"# Save as a vtk file\n",
|
||||
"simpeg.Utils.meshutils.writeVTRFile('modelTDuniMesh.vtr',mesh3dCons,{'S/m':modelUniCell})"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 5,
|
||||
"metadata": {
|
||||
"collapsed": false,
|
||||
"scrolled": true
|
||||
},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"# Load the model to the mesh with padding cells\n",
|
||||
"modelTD = simpeg.Utils.meshutils.readUBCTensorModel(modelname,mesh3d)\n",
|
||||
"# Save as a vtk file\n",
|
||||
"simpeg.Utils.meshutils.writeVTRFile('modelTDpaddedMesh.vtr',mesh3d,{'S/m':modelTD})"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 6,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"# Define the data locations\n",
|
||||
"xG,yG = np.meshgrid(np.linspace(-700,700,8),np.linspace(-700,700,8))\n",
|
||||
"zG = np.zeros_like(xG)\n",
|
||||
"locs = np.hstack((simpeg.mkvc(xG.ravel(),2),simpeg.mkvc(yG.ravel(),2),simpeg.mkvc(zG.ravel(),2)))"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 7,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
"outputs": [
|
||||
{
|
||||
"ename": "SolverException",
|
||||
"evalue": "Mumps Exception [-13] - An error occurred in a Fortran ALLOCATE statement. The size that the package requested is available in INFO(2). If INFO(2) is negative, then the size that the package requested is obtained by multiplying the absolute value of INFO(2) by 1 million.",
|
||||
"output_type": "error",
|
||||
"traceback": [
|
||||
"\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
|
||||
"\u001b[1;31mSolverException\u001b[0m Traceback (most recent call last)",
|
||||
"\u001b[1;32m<ipython-input-7-10aaec78a1f3>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[0;32m 20\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 21\u001b[0m \u001b[1;31m# Forward model the data\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 22\u001b[1;33m \u001b[0mfields\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mproblem\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mfields\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mmodelTD\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 23\u001b[0m \u001b[0mmtData\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0msurvey\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mprojectFields\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfields\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
|
||||
"\u001b[1;32m/media/gudni/ExtraDrive1/Codes/python/simpegmt/simpegMT/ProblemMT3D/Problems.pyc\u001b[0m in \u001b[0;36mfields\u001b[1;34m(self, m)\u001b[0m\n\u001b[0;32m 100\u001b[0m \u001b[0mA\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mgetA\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfreq\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 101\u001b[0m \u001b[0mrhs\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mgetRHS\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfreq\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 102\u001b[1;33m \u001b[0mAinv\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mSolver\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mA\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m**\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msolverOpts\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 103\u001b[0m \u001b[0me_s\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mAinv\u001b[0m \u001b[1;33m*\u001b[0m \u001b[0mrhs\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 104\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
|
||||
"\u001b[1;32m/media/gudni/ExtraDrive1/Codes/python/pymatsolver/pymatsolver/Mumps/__init__.pyc\u001b[0m in \u001b[0;36m__init__\u001b[1;34m(self, A, symmetric, fromPointer)\u001b[0m\n\u001b[0;32m 96\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 97\u001b[0m \u001b[1;32mif\u001b[0m \u001b[0mfromPointer\u001b[0m \u001b[1;32mis\u001b[0m \u001b[0mNone\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 98\u001b[1;33m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mfactor\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 99\u001b[0m \u001b[1;32melif\u001b[0m \u001b[0misinstance\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfromPointer\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0m_Pointer\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 100\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mpointer\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mfromPointer\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
|
||||
"\u001b[1;32m/media/gudni/ExtraDrive1/Codes/python/pymatsolver/pymatsolver/Mumps/__init__.pyc\u001b[0m in \u001b[0;36mfactor\u001b[1;34m(self)\u001b[0m\n\u001b[0;32m 132\u001b[0m self.A.indptr+1)\n\u001b[0;32m 133\u001b[0m \u001b[1;32mif\u001b[0m \u001b[0mierr\u001b[0m \u001b[1;33m<\u001b[0m \u001b[1;36m0\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 134\u001b[1;33m \u001b[1;32mraise\u001b[0m \u001b[0mSolverException\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m\"Mumps Exception [%d] - %s\"\u001b[0m \u001b[1;33m%\u001b[0m \u001b[1;33m(\u001b[0m\u001b[0mierr\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0m_mumpsErrors\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mierr\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 135\u001b[0m \u001b[1;32melif\u001b[0m \u001b[0mierr\u001b[0m \u001b[1;33m>\u001b[0m \u001b[1;36m0\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 136\u001b[0m \u001b[1;32mprint\u001b[0m \u001b[1;34m\"Mumps Warning [%d] - %s\"\u001b[0m \u001b[1;33m%\u001b[0m \u001b[1;33m(\u001b[0m\u001b[0mierr\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0m_mumpsErrors\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mierr\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
|
||||
"\u001b[1;31mSolverException\u001b[0m: Mumps Exception [-13] - An error occurred in a Fortran ALLOCATE statement. The size that the package requested is available in INFO(2). If INFO(2) is negative, then the size that the package requested is obtained by multiplying the absolute value of INFO(2) by 1 million."
|
||||
]
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"# Make the receiver list\n",
|
||||
"rxList = []\n",
|
||||
"for rxType in ['zxxr','zxxi','zxyr','zxyi','zyxr','zyxi','zyyr','zyyi']:\n",
|
||||
" rxList.append(simpegmt.SurveyMT.RxMT(locs,rxType)) \n",
|
||||
"# Source list\n",
|
||||
"srcList =[]\n",
|
||||
"freqs = np.logspace(3,0,13)\n",
|
||||
"for freq in freqs:\n",
|
||||
" srcList.append(simpegmt.SurveyMT.srcMT_polxy_1Dprimary(rxList,freq))\n",
|
||||
"# Survey MT\n",
|
||||
"survey = simpegmt.SurveyMT.SurveyMT(srcList)\n",
|
||||
"\n",
|
||||
"# Setup the problem object\n",
|
||||
"sigma1d = mesh3d.r(modelTD,'CC','CC','M')[0,0,:] # Use the edge column as a background model\n",
|
||||
"problem = simpegmt.ProblemMT3D.eForm_ps(mesh3d,sigmaPrimary = sigma1d)\n",
|
||||
"problem.verbose = False\n",
|
||||
"from pymatsolver import MumpsSolver\n",
|
||||
"problem.Solver = MumpsSolver\n",
|
||||
"problem.pair(survey)\n",
|
||||
"\n",
|
||||
"# Forward model the data\n",
|
||||
"fields = problem.fields(modelTD)\n",
|
||||
"mtData = survey.projectFields(fields)"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": null,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
" 50*50*48"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": null,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"np.sum(modTD<1e-7)"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": null,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"45000/50**2"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": null,
|
||||
@@ -18,9 +187,7 @@
|
||||
"collapsed": true
|
||||
},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"# Define the model\n"
|
||||
]
|
||||
"source": []
|
||||
}
|
||||
],
|
||||
"metadata": {
|
||||
|
||||
@@ -0,0 +1,71 @@
|
||||
## Script to run 3D forward model
|
||||
## Forward model a data
|
||||
import numpy as np, sys, os, time, gzip, cPickle as pickle
|
||||
sys.path.append('/tera_raid/gudni/gitCodes/simpegmt')
|
||||
sys.path.append('/tera_raid/gudni/gitCodes/simpegem')
|
||||
sys.path.append('/tera_raid/gudni/gitCodes/simpeg')
|
||||
sys.path.append('/tera_raid/gudni')
|
||||
from pymatsolver import MumpsSolver
|
||||
import simpegMT as simpegmt, SimPEG as simpeg
|
||||
import numpy as np, scipy
|
||||
## Setup the forward modeling
|
||||
# Read the model
|
||||
modelname = "simpegTDmodel.con"
|
||||
sigma = np.loadtxt(modelname)
|
||||
# Make the mesh.
|
||||
mTensor = simpeg.Utils.meshTensor
|
||||
cSize = [50,20]
|
||||
# Cells constant size mesh
|
||||
hx = mTensor([(cSize[0],50)])
|
||||
hy = mTensor([(cSize[0],50)])
|
||||
hz = mTensor([(cSize[1],48)])
|
||||
x0 = np.array([-1250,-1250,- 30*20])
|
||||
mesh3dCons = simpeg.Mesh.TensorMesh([hx,hy,hz],x0)
|
||||
# With padding
|
||||
hPad = mTensor([(cSize[0],5,1.5)])
|
||||
aPad = mTensor([(cSize[1],13,1.3)])
|
||||
bPad = mTensor([(cSize[1],5,-1.5)])
|
||||
hxPad = np.hstack((hPad[::-1],mTensor([(cSize[0],40)]),hPad))
|
||||
hyPad = np.hstack((hPad[::-1],mTensor([(cSize[0],40)]),hPad))
|
||||
hzPad = np.hstack((bPad,mTensor([(cSize[1],30)]),aPad))
|
||||
x0Pad = np.array([-(np.sum(hPad)+1000),-(np.sum(hPad)+1000),-(np.sum(bPad)+600)])
|
||||
mesh3d = simpeg.Mesh.TensorMesh([hxPad,hyPad,hzPad],x0Pad)
|
||||
|
||||
# Load the model to the uniform cell mesh
|
||||
modelUniCell = simpeg.Utils.meshutils.readUBCTensorModel(modelname,mesh3dCons)
|
||||
|
||||
# Load the model to the mesh with padding cells
|
||||
modelTD = simpeg.Utils.meshutils.readUBCTensorModel(modelname,mesh3d)
|
||||
|
||||
|
||||
# Define the data locations
|
||||
xG,yG = np.meshgrid(np.linspace(-700,700,8),np.linspace(-700,700,8))
|
||||
zG = np.zeros_like(xG)
|
||||
locs = np.hstack((simpeg.mkvc(xG.ravel(),2),simpeg.mkvc(yG.ravel(),2),simpeg.mkvc(zG.ravel(),2)))
|
||||
|
||||
# Make the receiver list
|
||||
rxList = []
|
||||
for rxType in ['zxxr','zxxi','zxyr','zxyi','zyxr','zyxi','zyyr','zyyi']:
|
||||
rxList.append(simpegmt.SurveyMT.RxMT(locs,rxType))
|
||||
# Source list
|
||||
srcList =[]
|
||||
freqs = np.logspace(3,0,13)
|
||||
for freq in freqs:
|
||||
srcList.append(simpegmt.SurveyMT.srcMT_polxy_1Dprimary(rxList,freq))
|
||||
# Survey MT
|
||||
survey = simpegmt.SurveyMT.SurveyMT(srcList)
|
||||
|
||||
# Setup the problem object
|
||||
sigma1d = mesh3d.r(modelTD,'CC','CC','M')[0,0,:] # Use the edge column as a background model
|
||||
problem = simpegmt.ProblemMT3D.eForm_ps(mesh3d,sigmaPrimary = sigma1d)
|
||||
problem.verbose = False
|
||||
from pymatsolver import MumpsSolver
|
||||
problem.Solver = MumpsSolver
|
||||
problem.pair(survey)
|
||||
|
||||
# Forward model the data
|
||||
fields = problem.fields(modelTD)
|
||||
mtData = survey.projectFields(fields)
|
||||
# Save the data
|
||||
np.save('seogiModel_MTdata.npy',simpeg.mkvc(mtData,1))
|
||||
|
||||
File diff suppressed because it is too large.
Load diff
@@ -23,40 +23,19 @@ class eForm_ps(BaseMTProblem):
|
||||
_fieldType = 'e'
|
||||
_eqLocs = 'FE'
|
||||
fieldsPair = FieldsMT_3D
|
||||
# Need to add the src ....
|
||||
|
||||
|
||||
# Set new properties
|
||||
# Background model
|
||||
# Shouldn't need the commented block.
|
||||
# @property
|
||||
# def backModel(self):
|
||||
# """
|
||||
# Sets the model, and removes dependent mass matrices.
|
||||
# """
|
||||
# return getattr(self, '_backModel', None)
|
||||
|
||||
# @backModel.setter
|
||||
# def backModel(self, value):
|
||||
# if value is self.backModel:
|
||||
# return # it is the same!
|
||||
# self._backModel = Models.Model(value, self.mapping)
|
||||
# for prop in self.deleteTheseOnModelUpdate:
|
||||
# if hasattr(self, prop):
|
||||
# delattr(self, prop)
|
||||
|
||||
# @property
|
||||
# def MeDeltaSigma(self):
|
||||
# #TODO: hardcoded to sigma as the model
|
||||
# if getattr(self, '_MeDeltaSigma', None) is None:
|
||||
# sigma = self.curModel
|
||||
# sigmaBG = self.backModel
|
||||
# self._MeDeltaSigma = self.mesh.getEdgeInnerProduct(sigma - sigmaBG)
|
||||
# return self._MeDeltaSigma
|
||||
_sigmaPrimary = None
|
||||
|
||||
def __init__(self, mesh, **kwargs):
|
||||
BaseMTProblem.__init__(self, mesh, **kwargs)
|
||||
|
||||
@property
|
||||
def sigmaPrimary(self):
|
||||
return self._sigmaPrimary
|
||||
@sigmaPrimary.setter
|
||||
def sigmaPrimary(self, val):
|
||||
# Note: TODO add logic for val, make sure it is the correct size.
|
||||
self._sigmaPrimary = val
|
||||
|
||||
def getA(self, freq):
|
||||
"""
|
||||
Function to get the A matrix.
|
||||
|
||||
@@ -36,7 +36,7 @@ def setupSurvey(sigmaHalf,tD=True):
|
||||
srcList.append(simpegmt.SurveyMT.srcMT_polxy_1DhomotD(rxList,freq))
|
||||
else:
|
||||
for freq in freqs:
|
||||
srcList.append(simpegmt.SurveyMT.srcMT_polxy_1Dprimary(rxList,freq,sigma))
|
||||
srcList.append(simpegmt.SurveyMT.srcMT_polxy_1Dprimary(rxList,freq))
|
||||
|
||||
survey = simpegmt.SurveyMT.SurveyMT(srcList)
|
||||
return survey, sigma, m1d
|
||||
@@ -63,7 +63,7 @@ def appRes_TotalFieldNorm(sigmaHalf):
|
||||
|
||||
# Make the survey
|
||||
survey, sigma, mesh = setupSurvey(sigmaHalf)
|
||||
problem = simpegmt.ProblemMT1D.eForm_TotalField(mesh,sigma)
|
||||
problem = simpegmt.ProblemMT1D.eForm_TotalField(mesh)
|
||||
problem.pair(survey)
|
||||
|
||||
# Get the fields
|
||||
@@ -99,7 +99,7 @@ def appRes_psFieldNorm(sigmaHalf):
|
||||
|
||||
# Make the survey
|
||||
survey, sigma, mesh = setupSurvey(sigmaHalf,False)
|
||||
problem = simpegmt.ProblemMT1D.eForm_psField(mesh)
|
||||
problem = simpegmt.ProblemMT1D.eForm_psField(mesh, sigmaPrimary = sigma)
|
||||
problem.pair(survey)
|
||||
|
||||
# Get the fields
|
||||
@@ -117,7 +117,7 @@ def appPhs_psFieldNorm(sigmaHalf):
|
||||
|
||||
# Make the survey
|
||||
survey, sigma, mesh = setupSurvey(sigmaHalf,False)
|
||||
problem = simpegmt.ProblemMT1D.eForm_psField(mesh)
|
||||
problem = simpegmt.ProblemMT1D.eForm_psField(mesh, sigmaPrimary = sigma)
|
||||
problem.pair(survey)
|
||||
|
||||
# Get the fields
|
||||
|
||||
@@ -109,7 +109,7 @@ def dataMis_AnalyticPrimarySecondary(sigmaHalf):
|
||||
# Make the survey
|
||||
# Primary secondary
|
||||
surveyPS, sigmaPS, mesh = setupSurvey(sigmaHalf,False)
|
||||
problemPS = simpegmt.ProblemMT1D.eForm_psField(mesh,sigma)
|
||||
problemPS = simpegmt.ProblemMT1D.eForm_psField(mesh,sigmaPS)
|
||||
problemPS.pair(surveyPS)
|
||||
# Analytic data
|
||||
dataAna = calculateAnalyticSolution(surveyPS.srcList,mesh,sigma)
|
||||
|
||||
@@ -18,7 +18,7 @@ def getInputs():
|
||||
# M = simpeg.Mesh.TensorMesh([[(100,5,-1.5),(100.,10),(100,5,1.5)],[(100,5,-1.5),(100.,10),(100,5,1.5)],[(100,5,1.6),(100.,10),(100,3,2)]], x0=['C','C',-3529.5360])
|
||||
M = simpeg.Mesh.TensorMesh([[(1000,6,-1.5),(1000.,6),(1000,6,1.5)],[(1000,6,-1.5),(1000.,2),(1000,6,1.5)],[(1000,10,-1.3),(1000.,2),(1000,10,1.3)]], x0=['C','C','C'])# Setup the model
|
||||
# Set the frequencies
|
||||
freqs = np.logspace(3,-3,7)
|
||||
freqs = np.logspace(1,-3,5)
|
||||
elev = 0
|
||||
|
||||
## Setup the the survey object
|
||||
@@ -73,15 +73,18 @@ def runSimpegMTfwd_eForm_ps(inputsProblem):
|
||||
srcList =[]
|
||||
sigma1d = M.r(sigBG,'CC','CC','M')[0,0,:]
|
||||
for freq in freqs:
|
||||
srcList.append(simpegmt.SurveyMT.srcMT_polxy_1Dprimary(rxList,freq,sigma1d))
|
||||
srcList.append(simpegmt.SurveyMT.srcMT_polxy_1Dprimary(rxList,freq))
|
||||
# Survey MT
|
||||
survey = simpegmt.SurveyMT.SurveyMT(srcList)
|
||||
|
||||
## Setup the problem object
|
||||
problem = simpegmt.ProblemMT3D.eForm_ps(M)
|
||||
problem = simpegmt.ProblemMT3D.eForm_ps(M,sigmaPrimary=sigma1d)
|
||||
problem.verbose = False
|
||||
from pymatsolver import MumpsSolver
|
||||
problem.Solver = MumpsSolver
|
||||
try:
|
||||
from pymatsolver import MumpsSolver
|
||||
problem.Solver = MumpsSolver
|
||||
except:
|
||||
pass
|
||||
problem.pair(survey)
|
||||
|
||||
fields = problem.fields(sig)
|
||||
@@ -106,19 +109,19 @@ def appResPhsHalfspace_eFrom_ps_Norm(sigmaHalf,appR=True):
|
||||
# Calculate the app phs
|
||||
app_rpxy, app_rpyx = np.array(getAppResPhs(data))
|
||||
if appR:
|
||||
return np.linalg.norm(np.abs(app_rpxy[0,:] - np.ones(survey.nFreq)/sigmaHalf) * sigmaHalf)
|
||||
return np.all(np.abs(app_rpxy[0,:] - np.ones(survey.nFreq)/sigmaHalf) * sigmaHalf < .35)
|
||||
else:
|
||||
return np.linalg.norm(np.abs(app_rpxy[1,:] + np.ones(survey.nFreq)*135) / 135)
|
||||
return np.all(np.abs(app_rpxy[1,:] + np.ones(survey.nFreq)*135) / 135 < .35)
|
||||
|
||||
class TestAnalytics(unittest.TestCase):
|
||||
|
||||
def setUp(self):
|
||||
pass
|
||||
def test_appRes2en1(self):self.assertLess(appResPhsHalfspace_eFrom_ps_Norm(2e-1), TOLr)
|
||||
def test_appRes2en2(self):self.assertLess(appResPhsHalfspace_eFrom_ps_Norm(2e-2), TOLr)
|
||||
def test_appRes2en3(self):self.assertLess(appResPhsHalfspace_eFrom_ps_Norm(2e-3), TOLr)
|
||||
def test_appRes2en1(self):self.assertLess(appResPhsHalfspace_eFrom_ps_Norm(2e-1,False), TOLr)
|
||||
def test_appRes2en2(self):self.assertLess(appResPhsHalfspace_eFrom_ps_Norm(2e-2,False), TOLr)
|
||||
def test_appRes2en3(self):self.assertLess(appResPhsHalfspace_eFrom_ps_Norm(2e-3,False), TOLr)
|
||||
# def test_appRes2en1(self):self.assertTrue(appResPhsHalfspace_eFrom_ps_Norm(2e-1))
|
||||
def test_appRes1en2(self):self.assertTrue(appResPhsHalfspace_eFrom_ps_Norm(1e-2))
|
||||
def test_appRes1en3(self):self.assertTrue(appResPhsHalfspace_eFrom_ps_Norm(1e-3))
|
||||
# def test_appRes2en1(self):self.assertTrue(appResPhsHalfspace_eFrom_ps_Norm(2e-1,False))
|
||||
def test_appPhs1en2(self):self.assertTrue(appResPhsHalfspace_eFrom_ps_Norm(1e-2,False))
|
||||
def test_appPhs1en3(self):self.assertTrue(appResPhsHalfspace_eFrom_ps_Norm(1e-3,False))
|
||||
if __name__ == '__main__':
|
||||
unittest.main()
|
||||
@@ -65,7 +65,6 @@ def plotMT1DModelData(problem,models,symList=None):
|
||||
|
||||
# if not symList:
|
||||
# symList = ['x']*len(models)
|
||||
sys.path.append('/home/gudni/Dropbox/code/python/MTview')
|
||||
import plotDataTypes as pDt
|
||||
# Loop through the models.
|
||||
modelList = [problem.survey.mtrue]
|
||||
@@ -122,4 +121,8 @@ def plotMT1DModelData(problem,models,symList=None):
|
||||
for ax in [axM,axR,axP]:
|
||||
ax.xaxis.set_tick_params(labelsize=fontSize)
|
||||
ax.yaxis.set_tick_params(labelsize=fontSize)
|
||||
return fig
|
||||
return fig
|
||||
|
||||
def printTime():
|
||||
import time
|
||||
print time.strftime("%a, %d %b %Y %H:%M:%S +0000", time.localtime())
|
||||
@@ -7,7 +7,12 @@ from simpegMT.Utils.dataUtils import rec2ndarr
|
||||
|
||||
# Import modules
|
||||
import numpy as np
|
||||
import os, osr, sys, re
|
||||
import os, sys, re
|
||||
try:
|
||||
import osr
|
||||
except ImportError as e:
|
||||
print 'Could not import osr, missing the gdal package'
|
||||
pass
|
||||
|
||||
class EDIimporter:
|
||||
"""
|
||||
|
||||
@@ -0,0 +1,416 @@
|
||||
from matplotlib import pyplot as plt, colors, numpy as np
|
||||
|
||||
|
||||
def rec2nd(structArray):
|
||||
""" Converts a structured/record array to ndarray to do operations on."""
|
||||
return structArray.view((np.float,len(structArray.dtype.names)))
|
||||
|
||||
def plotIsoFreqNSimpedance(ax,freq,array,flag,par='abs',colorbar=True,colorNorm='SymLog',cLevel=True,contour=True):
|
||||
|
||||
indUniFreq = np.where(freq==array['freq'])
|
||||
|
||||
|
||||
x, y = array['x'][indUniFreq],array['y'][indUniFreq]
|
||||
if par == 'abs':
|
||||
zPlot = np.abs(array[flag][indUniFreq])
|
||||
cmap = plt.get_cmap('OrRd_r')#seismic')
|
||||
level = np.logspace(0,-5,31)
|
||||
clevel = np.logspace(0,-4,5)
|
||||
plotNorm = colors.LogNorm()
|
||||
elif par == 'real':
|
||||
zPlot = np.real(array[flag][indUniFreq])
|
||||
cmap = plt.get_cmap('RdYlBu')
|
||||
if cLevel:
|
||||
level = np.concatenate((-np.logspace(0,-10,31),np.logspace(-10,0,31)))
|
||||
clevel = np.concatenate((-np.logspace(0,-8,5),np.logspace(-8,0,5)))
|
||||
else:
|
||||
level = np.linspace(zPlot.min(),zPlot.max(),100)
|
||||
clevel = np.linspace(zPlot.min(),zPlot.max(),10)
|
||||
if colorNorm=='SymLog':
|
||||
plotNorm = colors.SymLogNorm(1e-10,linscale=2)
|
||||
else:
|
||||
plotNorm = colors.Normalize()
|
||||
elif par == 'imag':
|
||||
zPlot = np.imag(array[flag][indUniFreq])
|
||||
cmap = plt.get_cmap('RdYlBu')
|
||||
level = np.concatenate((-np.logspace(0,-10,31),np.logspace(-10,0,31)))
|
||||
clevel = np.concatenate((-np.logspace(0,-8,5),np.logspace(-8,0,5)))
|
||||
plotNorm = colors.SymLogNorm(1e-10,linscale=2)
|
||||
if cLevel:
|
||||
level = np.concatenate((-np.logspace(0,-10,31),np.logspace(-10,0,31)))
|
||||
clevel = np.concatenate((-np.logspace(0,-8,5),np.logspace(-8,0,5)))
|
||||
else:
|
||||
level = np.linspace(zPlot.min(),zPlot.max(),100)
|
||||
clevel = np.linspace(zPlot.min(),zPlot.max(),10)
|
||||
if colorNorm=='SymLog':
|
||||
plotNorm = colors.SymLogNorm(1e-10,linscale=2)
|
||||
elif colorNorm=='Lin':
|
||||
plotNorm = colors.Normalize()
|
||||
if contour:
|
||||
cs = ax.tricontourf(x,y,zPlot,levels=level,cmap=cmap,norm=plotNorm)#,extend='both')
|
||||
else:
|
||||
uniX,uniY = np.unique(x),np.unique(y)
|
||||
X,Y = np.meshgrid(np.append(uniX-25,uniX[-1]+25),np.append(uniY-25,uniY[-1]+25))
|
||||
cs = ax.pcolor(X,Y,np.reshape(zPlot,(len(uniY),len(uniX))),cmap=cmap,norm=plotNorm)
|
||||
if colorbar:
|
||||
plt.colorbar(cs,cax=ax.cax,ticks=clevel,format='%1.2e')
|
||||
ax.set_title(flag+' '+par,fontsize=8)
|
||||
return cs
|
||||
|
||||
def plotIsoFreqNSDiff(ax,freq,arrayList,flag,par='abs',colorbar=True,cLevel=True,mask=None,contourLine=True,useLog=False):
|
||||
|
||||
indUniFreq0 = np.where(freq==arrayList[0]['freq'])
|
||||
indUniFreq1 = np.where(freq==arrayList[1]['freq'])
|
||||
seicmap = plt.get_cmap('RdYlBu')#seismic')
|
||||
x, y = arrayList[0]['x'][indUniFreq0],arrayList[0]['y'][indUniFreq0]
|
||||
if par == 'abs':
|
||||
if useLog:
|
||||
zPlot = (np.log10(np.abs(arrayList[0][flag][indUniFreq0])) - np.log10(np.abs(arrayList[1][flag][indUniFreq1])))/np.log10(np.abs(arrayList[1][flag][indUniFreq1]))
|
||||
else:
|
||||
zPlot = (np.abs(arrayList[0][flag][indUniFreq0]) - np.abs(arrayList[1][flag][indUniFreq1]))/np.abs(arrayList[1][flag][indUniFreq1])
|
||||
if mask:
|
||||
maskInd = np.logical_or(np.abs(arrayList[0][flag][indUniFreq0])< 1e-3,np.abs(arrayList[1][flag][indUniFreq1]) < 1e-3)
|
||||
zPlot = np.ma.array(zPlot)
|
||||
zPlot[maskInd] = mask
|
||||
if cLevel:
|
||||
level = np.arange(-200,201,10)
|
||||
clevel = np.arange(-200,201,25)
|
||||
else:
|
||||
level = np.linspace(zPlot.min(),zPlot.max(),100)
|
||||
clevel = np.linspace(zPlot.min(),zPlot.max(),10)
|
||||
elif par == 'real':
|
||||
if useLog:
|
||||
zPlot = (np.log10(np.real(arrayList[0][flag][indUniFreq0])) -np.log10(np.real(arrayList[1][flag][indUniFreq1])))/np.log10(np.abs((np.real(arrayList[1][flag][indUniFreq1]))))
|
||||
else:
|
||||
zPlot = (np.real(arrayList[0][flag][indUniFreq0]) -np.real(arrayList[1][flag][indUniFreq1]))/np.abs((np.real(arrayList[1][flag][indUniFreq1])))
|
||||
if mask:
|
||||
maskInd = np.logical_or(np.abs(np.real(arrayList[0][flag][indUniFreq0])) < 1e-3,np.abs(np.real(arrayList[1][flag][indUniFreq1])) < 1e-3)
|
||||
zPlot = np.ma.array(zPlot)
|
||||
zPlot[maskInd] = mask
|
||||
if cLevel:
|
||||
level = np.arange(-200,201,10)
|
||||
clevel = np.arange(-200,201,25)
|
||||
else:
|
||||
level = np.linspace(zPlot.min(),zPlot.max(),100)
|
||||
clevel = np.linspace(zPlot.min(),zPlot.max(),10)
|
||||
elif par == 'imag':
|
||||
if useLog:
|
||||
zPlot = (np.log10(np.imag(arrayList[0][flag][indUniFreq0])) -np.log10(np.imag(arrayList[1][flag][indUniFreq1])))/np.log10(np.abs((np.imag(arrayList[1][flag][indUniFreq1]))))
|
||||
else:
|
||||
zPlot = (np.imag(arrayList[0][flag][indUniFreq0]) -np.imag(arrayList[1][flag][indUniFreq1]))/np.abs((np.imag(arrayList[1][flag][indUniFreq1])))
|
||||
if mask:
|
||||
maskInd = np.logical_or(np.abs(np.imag(arrayList[0][flag][indUniFreq0])) < 1e-3,np.abs(np.imag(arrayList[1][flag][indUniFreq1])) < 1e-3)
|
||||
zPlot = np.ma.array(zPlot)
|
||||
zPlot[maskInd] = mask
|
||||
if cLevel:
|
||||
level = np.arange(-200,201,10)
|
||||
clevel = np.arange(-200,201,25)
|
||||
else:
|
||||
level = np.linspace(zPlot.min(),zPlot.max(),100)
|
||||
clevel = np.linspace(zPlot.min(),zPlot.max(),10)
|
||||
cs = ax.tricontourf(x,y,zPlot*100,levels=level*100,cmap=seicmap,extend='both') #,norm=colors.SymLogNorm(1e-2,linscale=2))
|
||||
if contourLine:
|
||||
csl = ax.tricontour(x,y,zPlot*100,levels=clevel*100,colors='k')
|
||||
plt.clabel(csl, fontsize=7, inline=1,fmt='%1.1e',inline_spacing=10)
|
||||
if colorbar:
|
||||
cb = plt.colorbar(cs,cax=ax.cax,ticks=clevel*100,format='%1.1e')
|
||||
for t in cb.ax.get_yticklabels():
|
||||
t.set_rotation(60)
|
||||
t.set_fontsize(8)
|
||||
|
||||
ax.set_title(flag+' '+par,fontsize=8)
|
||||
|
||||
def plotIsoFreqNStipper(ax,freq,array,flag,par='abs',colorbar=True,colorNorm='SymLog',cLevel=True,contour=True):
|
||||
|
||||
indUniFreq = np.where(freq==array['freq'])
|
||||
|
||||
x, y = array['x'][indUniFreq],array['y'][indUniFreq]
|
||||
if par == 'abs':
|
||||
cmap = plt.get_cmap('OrRd_r')#seismic')
|
||||
zPlot = np.abs(array[flag][indUniFreq])
|
||||
if cLevel:
|
||||
level = np.logspace(-4,0,33)
|
||||
clevel = np.logspace(-4,0,5)
|
||||
else:
|
||||
level = np.linspace(zPlot.min(),zPlot.max(),100)
|
||||
clevel = np.linspace(zPlot.min(),zPlot.max(),10)
|
||||
if colorNorm=='SymLog':
|
||||
plotNorm = colors.LogNorm()
|
||||
else:
|
||||
plotNorm = colors.Normalize()
|
||||
elif par == 'real':
|
||||
cmap = plt.get_cmap('RdYlBu')
|
||||
zPlot = np.real(array[flag][indUniFreq])
|
||||
if cLevel:
|
||||
level = np.concatenate((-np.logspace(0,-4,33),np.logspace(-4,0,33)))
|
||||
clevel = np.concatenate((-np.logspace(0,-4,5),np.logspace(-4,0,5)))
|
||||
else:
|
||||
level = np.linspace(zPlot.min(),zPlot.max(),100)
|
||||
clevel = np.linspace(zPlot.min(),zPlot.max(),10)
|
||||
if colorNorm=='SymLog':
|
||||
plotNorm = colors.SymLogNorm(1e-4,linscale=2)
|
||||
else:
|
||||
plotNorm = colors.Normalize()
|
||||
elif par == 'imag':
|
||||
cmap = plt.get_cmap('RdYlBu')
|
||||
zPlot = np.imag(array[flag][indUniFreq])
|
||||
if cLevel:
|
||||
level = np.concatenate((-np.logspace(0,-4,33),np.logspace(-4,0,33)))
|
||||
clevel = np.concatenate((-np.logspace(0,-4,5),np.logspace(-4,0,5)))
|
||||
else:
|
||||
level = np.linspace(zPlot.min(),zPlot.max(),100)
|
||||
clevel = np.linspace(zPlot.min(),zPlot.max(),10)
|
||||
if colorNorm=='SymLog':
|
||||
plotNorm = colors.SymLogNorm(1e-4,linscale=2)
|
||||
else:
|
||||
plotNorm = colors.Normalize()
|
||||
if contour:
|
||||
cs = ax.tricontourf(x,y,zPlot,levels=level,cmap=cmap,norm=plotNorm)#,extend='both')
|
||||
else:
|
||||
uniX,uniY = np.unique(x),np.unique(y)
|
||||
X,Y = np.meshgrid(np.append(uniX-25,uniX[-1]+25),np.append(uniY-25,uniY[-1]+25))
|
||||
cs = ax.pcolor(X,Y,np.reshape(zPlot,(len(uniY),len(uniX))),levels=level,cmap=cmap,norm=plotNorm,edgecolors='k', linewidths=0.5)
|
||||
if colorbar:
|
||||
plt.colorbar(cs,cax=ax.cax,ticks=clevel,format='%1.2e')
|
||||
ax.set_title(flag+' '+par,fontsize=8)
|
||||
|
||||
def plotIsoStaImpedance(ax,loc,array,flag,par='abs',pSym='s',pColor=None):
|
||||
|
||||
appResFact = 1/(8*np.pi**2*10**(-7))
|
||||
treshold = 1.0 # 1 meter
|
||||
indUniSta = np.sqrt(np.sum((rec2nd(array[['x','y']])-loc)**2,axis=1)) < treshold
|
||||
freq = array['freq'][indUniSta]
|
||||
|
||||
if par == 'abs':
|
||||
zPlot = np.abs(array[flag][indUniSta])
|
||||
elif par == 'real':
|
||||
zPlot = np.real(array[flag][indUniSta])
|
||||
elif par == 'imag':
|
||||
zPlot = np.imag(array[flag][indUniSta])
|
||||
elif par == 'res':
|
||||
zPlot = (appResFact/freq)*np.abs(array[flag][indUniSta])**2
|
||||
elif par == 'phs':
|
||||
zPlot = np.arctan2(array[flag][indUniSta].imag,array[flag][indUniSta].real)*(180/np.pi)
|
||||
|
||||
if not pColor:
|
||||
if 'xx' in flag:
|
||||
lab = 'XX'
|
||||
pColor = 'g'
|
||||
elif 'xy' in flag:
|
||||
lab = 'XY'
|
||||
pColor = 'r'
|
||||
elif 'yx' in flag:
|
||||
lab = 'YX'
|
||||
pColor = 'b'
|
||||
elif 'yy' in flag:
|
||||
lab = 'YY'
|
||||
pColor = 'y'
|
||||
|
||||
ax.plot(freq,zPlot,color=pColor,marker=pSym,label=flag)
|
||||
|
||||
|
||||
def plotPsudoSectNSimpedance(ax,sectDict,array,flag,par='abs',colorbar=True,colorNorm='None',cLevel=None,contour=True):
|
||||
|
||||
indSect = np.where(sectDict.values()[0]==array[sectDict.keys()[0]])
|
||||
|
||||
# Define the plot axes
|
||||
if 'x' in sectDict.keys()[0]:
|
||||
x = array['y'][indSect]
|
||||
else:
|
||||
x = array['x'][indSect]
|
||||
y = array['freq'][indSect]
|
||||
|
||||
if par == 'abs':
|
||||
zPlot = np.abs(array[flag][indSect])
|
||||
cmap = plt.get_cmap('OrRd_r')#seismic')
|
||||
if cLevel:
|
||||
level = np.logspace(0,-5,31,endpoint=True)
|
||||
clevel = np.logspace(0,-4,5,endpoint=True)
|
||||
else:
|
||||
level = np.linspace(zPlot.min(),zPlot.max(),100,endpoint=True)
|
||||
clevel = np.linspace(zPlot.min(),zPlot.max(),10,endpoint=True)
|
||||
|
||||
elif par == 'ares':
|
||||
zPlot = np.abs(array[flag][indSect])**2/(8*np.pi**2*10**(-7)*array['freq'][indSect])
|
||||
cmap = plt.get_cmap('RdYlBu')#seismic)
|
||||
if cLevel:
|
||||
zMax = np.log10(cLevel[1])
|
||||
zMin = np.log10(cLevel[0])
|
||||
else:
|
||||
zMax = (np.ceil(np.log10(np.abs(zPlot).max())))
|
||||
zMin = (np.floor(np.log10(np.abs(zPlot).min())))
|
||||
level = np.logspace(zMin,zMax,(zMax-zMin)*8+1,endpoint=True)
|
||||
clevel = np.logspace(zMin,zMax,(zMax-zMin)*2+1,endpoint=True)
|
||||
plotNorm = colors.LogNorm()
|
||||
|
||||
elif par == 'aphs':
|
||||
zPlot = np.arctan2(array[flag][indSect].imag,array[flag][indSect].real)*(180/np.pi)
|
||||
cmap = plt.get_cmap('RdYlBu')#seismic)
|
||||
if cLevel:
|
||||
zMax = cLevel[1]
|
||||
zMin = cLevel[0]
|
||||
else:
|
||||
zMax = (np.ceil(zPlot).max())
|
||||
zMin = (np.floor(zPlot).min())
|
||||
level = np.arange(zMin,zMax+.1,1)
|
||||
clevel = np.arange(zMin,zMax+.1,10)
|
||||
plotNorm = colors.Normalize()
|
||||
|
||||
elif par == 'real':
|
||||
zPlot = np.real(array[flag][indSect])
|
||||
cmap = plt.get_cmap('Spectral') #('RdYlBu')
|
||||
if cLevel:
|
||||
zMax = np.log10(cLevel[1])
|
||||
zMin = np.log10(cLevel[0])
|
||||
else:
|
||||
zMax = (np.ceil(np.log10(np.abs(zPlot).max())))
|
||||
zMin = (np.floor(np.log10(np.abs(zPlot).min())))
|
||||
level = np.concatenate((-np.logspace(zMax,zMin-.125,(zMax-zMin)*8+1,endpoint=True),np.logspace(zMin-.125,zMax,(zMax-zMin)*8+1,endpoint=True)))
|
||||
clevel = np.concatenate((-np.logspace(zMax,zMin,(zMax-zMin)*1+1,endpoint=True),np.logspace(zMin,zMax,(zMax-zMin)*1+1,endpoint=True)))
|
||||
plotNorm = colors.SymLogNorm(np.abs(level).min(),linscale=0.1)
|
||||
elif par == 'imag':
|
||||
zPlot = np.imag(array[flag][indSect])
|
||||
cmap = plt.get_cmap('Spectral') #('RdYlBu')
|
||||
|
||||
if cLevel:
|
||||
zMax = np.log10(cLevel[1])
|
||||
zMin = np.log10(cLevel[0])
|
||||
else:
|
||||
zMax = (np.ceil(np.log10(np.abs(zPlot).max())))
|
||||
zMin = (np.floor(np.log10(np.abs(zPlot).min())))
|
||||
level = np.concatenate((-np.logspace(zMax,zMin-.125,(zMax-zMin)*8+1,endpoint=True),np.logspace(zMin-.125,zMax,(zMax-zMin)*8+1,endpoint=True)))
|
||||
clevel = np.concatenate((-np.logspace(zMax,zMin,(zMax-zMin)*1+1,endpoint=True),np.logspace(zMin,zMax,(zMax-zMin)*1+1,endpoint=True)))
|
||||
plotNorm = colors.SymLogNorm(np.abs(level).min(),linscale=0.1)
|
||||
|
||||
if colorNorm=='SymLog':
|
||||
plotNorm = colors.SymLogNorm(np.abs(level).min(),linscale=0.1)
|
||||
elif colorNorm=='Lin':
|
||||
plotNorm = colors.Normalize()
|
||||
elif colorNorm=='Log':
|
||||
plotNorm = colors.LogNorm()
|
||||
if contour:
|
||||
cs = ax.tricontourf(x,y,zPlot,levels=level,cmap=cmap,norm=plotNorm)#,extend='both')
|
||||
else:
|
||||
uniX,uniY = np.unique(x),np.unique(y)
|
||||
X,Y = np.meshgrid(np.append(uniX-25,uniX[-1]+25),np.append(uniY-25,uniY[-1]+25))
|
||||
cs = ax.pcolor(X,Y,np.reshape(zPlot,(len(uniY),len(uniX))),cmap=cmap,norm=plotNorm)
|
||||
if colorbar:
|
||||
csB = plt.colorbar(cs,cax=ax.cax,ticks=clevel,format='%1.2e')
|
||||
# csB.on_mappable_changed(cs)
|
||||
ax.set_title(flag+' '+par,fontsize=8)
|
||||
return cs, csB
|
||||
return cs,None
|
||||
|
||||
|
||||
def plotPsudoSectNSDiff(ax,sectDict,arrayList,flag,par='abs',colorbar=True,colorNorm='SymLog',cLevel=None,contour=True,mask=None,useLog=False):
|
||||
|
||||
def sortInArr(arr):
|
||||
return np.sort(arr,order=['freq','x','y','z'])
|
||||
# Find the index for the slice
|
||||
indSect0 = np.where(sectDict.values()[0]==arrayList[0][sectDict.keys()[0]])
|
||||
indSect1 = np.where(sectDict.values()[0]==arrayList[1][sectDict.keys()[0]])
|
||||
# Extract and sort the mats
|
||||
arr0 = sortInArr(arrayList[0][indSect0])
|
||||
arr1 = sortInArr(arrayList[1][indSect1])
|
||||
|
||||
# Define the plot axes
|
||||
if 'x' in sectDict.keys()[0]:
|
||||
x0 = arr0['y']
|
||||
x1 = arr1['y']
|
||||
else:
|
||||
x0 = arr0['x']
|
||||
x1 = arr1['x']
|
||||
y0 = arr0['freq']
|
||||
y1 = arr1['freq']
|
||||
|
||||
|
||||
if par == 'abs':
|
||||
if useLog:
|
||||
zPlot = (np.log10(np.abs(arr0[flag])) - np.log10(np.abs(arr1[flag])))/np.log10(np.abs(arr1[flag]))
|
||||
else:
|
||||
zPlot = (np.abs(arr0[flag]) - np.abs(arr1[flag]))/np.abs(arr1[flag])
|
||||
if mask:
|
||||
maskInd = np.logical_or(np.abs(arr0[flag])< 1e-3,np.abs(arr1[flag]) < 1e-3)
|
||||
zPlot = np.ma.array(zPlot)
|
||||
zPlot[maskInd] = mask
|
||||
cmap = plt.get_cmap('RdYlBu')#seismic)
|
||||
elif par == 'ares':
|
||||
arF = 1/(8*np.pi**2*10**(-7))
|
||||
if useLog:
|
||||
zPlot = (np.log10((arF/arr0['freq'])*np.abs(arr0[flag])**2) - np.log10((arF/arr1['freq'])*np.abs(arr1[flag])**2))/np.log10((arF/arr1['freq'])*np.abs(arr1[flag])**2)
|
||||
else:
|
||||
zPlot = ((arF/arr0['freq'])*np.abs(arr0[flag])**2 - (arF/arr1['freq'])*np.abs(arr1[flag])**2)/((arF/arr1['freq'])*np.abs(arr1[flag])**2)
|
||||
if mask:
|
||||
maskInd = np.logical_or(np.abs(arr0[flag])< 1e-3,np.abs(arr1[flag]) < 1e-3)
|
||||
zPlot = np.ma.array(zPlot)
|
||||
zPlot[maskInd] = mask
|
||||
cmap = plt.get_cmap('Spectral')#seismic)
|
||||
|
||||
elif par == 'aphs':
|
||||
if useLog:
|
||||
zPlot = (np.log10(np.arctan2(arr0[flag].imag,arr0[flag].real)*(180/np.pi)) - np.log10(np.arctan2(arr1[flag].imag,arr1[flag].real)*(180/np.pi)) )/np.log10(np.arctan2(arr1[flag].imag,arr1[flag].real)*(180/np.pi))
|
||||
else:
|
||||
zPlot = ( np.arctan2(arr0[flag].imag,arr0[flag].real)*(180/np.pi) - np.arctan2(arr1[flag].imag,arr1[flag].real)*(180/np.pi) )/(np.arctan2(arr1[flag].imag,arr1[flag].real)*(180/np.pi))
|
||||
if mask:
|
||||
maskInd = np.logical_or(np.abs(arr0[flag])< 1e-3,np.abs(arr1[flag]) < 1e-3)
|
||||
zPlot = np.ma.array(zPlot)
|
||||
zPlot[maskInd] = mask
|
||||
cmap = plt.get_cmap('Spectral')#seismic)
|
||||
elif par == 'real':
|
||||
if useLog:
|
||||
zPlot = (np.log10(arr0[flag].real) - np.log10(arr1[flag].real))/np.log10(arr1[flag].real)
|
||||
else:
|
||||
zPlot = (arr0[flag].real - arr1[flag].real)/arr1[flag].real
|
||||
if mask:
|
||||
maskInd = np.logical_or(arr0[flag].real< 1e-3,arr1[flag].real < 1e-3)
|
||||
zPlot = np.ma.array(zPlot)
|
||||
zPlot[maskInd] = mask
|
||||
cmap = plt.get_cmap('Spectral') #('Spectral')
|
||||
|
||||
elif par == 'imag':
|
||||
if useLog:
|
||||
zPlot = (np.log10(arr0[flag].imag) - np.log10(arr1[flag].imag))/np.log10(arr1[flag].imag)
|
||||
else:
|
||||
zPlot = (arr0[flag].imag - arr1[flag].imag)/arr1[flag].imag
|
||||
if mask:
|
||||
maskInd = np.logical_or(arr0[flag].imag< 1e-3,arr1[flag].imag < 1e-3)
|
||||
zPlot = np.ma.array(zPlot)
|
||||
zPlot[maskInd] = mask
|
||||
cmap = plt.get_cmap('Spectral') #('RdYlBu')
|
||||
|
||||
if cLevel:
|
||||
zMax = np.log10(cLevel[1])
|
||||
zMin = np.log10(cLevel[0])
|
||||
else:
|
||||
zMax = (np.ceil(np.log10(np.abs(zPlot).max())))
|
||||
zMin = (np.floor(np.log10(np.abs(zPlot).min())))
|
||||
|
||||
|
||||
if colorNorm=='SymLog':
|
||||
level = np.concatenate((-np.logspace(zMax,zMin-.125,(zMax-zMin)*8+1,endpoint=True),np.logspace(zMin-.125,zMax,(zMax-zMin)*8+1,endpoint=True)))
|
||||
clevel = np.concatenate((-np.logspace(zMax,zMin,(zMax-zMin)*1+1,endpoint=True),np.logspace(zMin,zMax,(zMax-zMin)*1+1,endpoint=True)))
|
||||
plotNorm = colors.SymLogNorm(np.abs(level).min(),linscale=0.1)
|
||||
elif colorNorm=='Lin':
|
||||
if cLevel:
|
||||
level = np.arange(cLevel[0],cLevel[1]+.1,(cLevel[1] - cLevel[0])/50.)
|
||||
clevel = np.arange(cLevel[0],cLevel[1]+.1,(cLevel[1] - cLevel[0])/10.)
|
||||
else:
|
||||
level = np.arange(zPlot.min(),zPlot.max(),(zPlot.max() - zPlot.min())/50.)
|
||||
clevel = np.arange(zPlot.min(),zPlot.max(),(zPlot.max() - zPlot.min())/10.)
|
||||
plotNorm = colors.Normalize()
|
||||
elif colorNorm=='Log':
|
||||
level = np.logspace(zMin-.125,zMax,(zMax-zMin)*8+1,endpoint=True)
|
||||
clevel = np.logspace(zMin,zMax,(zMax-zMin)*2+1,endpoint=True)
|
||||
plotNorm = colors.LogNorm()
|
||||
if contour:
|
||||
cs = ax.tricontourf(x0,y0,zPlot*100,levels=level*100,cmap=cmap,norm=plotNorm,extend='both')#,extend='both')
|
||||
else:
|
||||
uniX,uniY = np.unique(x0),np.unique(y0)
|
||||
X,Y = np.meshgrid(np.append(uniX-25,uniX[-1]+25),np.append(uniY-25,uniY[-1]+25))
|
||||
cs = ax.pcolor(X,Y,np.reshape(zPlot,(len(uniY),len(uniX))),cmap=cmap,norm=plotNorm)
|
||||
if colorbar:
|
||||
csB = plt.colorbar(cs,cax=ax.cax,ticks=clevel*100,format='%1.2e')
|
||||
# csB.on_mappable_changed(cs)
|
||||
ax.set_title(flag+' '+par + ' diff',fontsize=8)
|
||||
return cs, csB
|
||||
return cs,None
|
||||
Reference in new issue
Block a user