From 6a7d72bf85bcc58bfae80ff5686dd04924ebd09c Mon Sep 17 00:00:00 2001 From: D Fournier Date: Sun, 17 Jan 2016 13:39:10 -0800 Subject: [PATCH] Work on Example and mesh refinement for MinSIM --- simpegPF/BaseMag.py | 31 +- .../Dev/Intgrl_MAG_Fwr_DualSphereTopo_Test.py | 2 +- simpegPF/Dev/Intgrl_MAG_Fwr_VTK.py | 76 - simpegPF/Dev/Intgrl_MAG_Fwr_VTK_topo_test.py | 139 + simpegPF/Dev/Test_tria_2_grid/Gaussian.topo | 5152 + simpegPF/Dev/Test_tria_2_grid/Mesh_temp.msh | 5 + .../Dev/Test_tria_2_grid/Topo_Gaussian.ts | 15182 ++ simpegPF/Dev/Test_tria_2_grid/VTKout.dat | 129702 +-------------- ...SimPEG Tutorial - MAG Linear Problem.ipynb | 163 +- 9 files changed, 22458 insertions(+), 127994 deletions(-) delete mode 100644 simpegPF/Dev/Intgrl_MAG_Fwr_VTK.py create mode 100644 simpegPF/Dev/Intgrl_MAG_Fwr_VTK_topo_test.py create mode 100644 simpegPF/Dev/Test_tria_2_grid/Gaussian.topo create mode 100644 simpegPF/Dev/Test_tria_2_grid/Mesh_temp.msh create mode 100644 simpegPF/Dev/Test_tria_2_grid/Topo_Gaussian.ts diff --git a/simpegPF/BaseMag.py b/simpegPF/BaseMag.py index cf9091f9..1a2b563c 100644 --- a/simpegPF/BaseMag.py +++ b/simpegPF/BaseMag.py @@ -417,13 +417,14 @@ def read_GOCAD_ts(tsfile): return vrtx, trgl -def gocad2vtk(gcFile,mesh): +def gocad2vtk(gcFile,mesh,bcflag,inflag): """" Function to read gocad polystructure file and output indexes of mesh with in the structure. """ import vtk, vtk.util.numpy_support as npsup + print "Reading GOCAD ts file..." vrtx, trgl = read_GOCAD_ts(gcFile) # Adjust the index trgl = trgl - 1 @@ -464,12 +465,34 @@ def gocad2vtk(gcFile,mesh): extractImpDistRectGridFilt = vtk.vtkExtractGeometry() # Object constructor extractImpDistRectGridFilt.SetImplicitFunction(ImpDistFunc) # extractImpDistRectGridFilt.SetInputData(vtkMesh) - extractImpDistRectGridFilt.ExtractBoundaryCellsOn() - extractImpDistRectGridFilt.ExtractInsideOn() + if bcflag is True: + extractImpDistRectGridFilt.ExtractBoundaryCellsOn() + + else: + extractImpDistRectGridFilt.ExtractBoundaryCellsOff() + + if inflag is True: + extractImpDistRectGridFilt.ExtractInsideOn() + + else: + extractImpDistRectGridFilt.ExtractInsideOff() + + print "Extracting indices from grid..." # Executing the pipe extractImpDistRectGridFilt.Update() + # Get index inside insideGrid = extractImpDistRectGridFilt.GetOutput() + insideGrid = npsup.vtk_to_numpy(insideGrid.GetCellData().GetArray('Index')) + + # Get index surface intersect + extractImpDistRectGridFilt.ExtractBoundaryCellsOn() + extractImpDistRectGridFilt.ExtractInsideOff() + extractImpDistRectGridFilt.Update() + + bcGrid = extractImpDistRectGridFilt.GetOutput() + bcGrid = npsup.vtk_to_numpy(bcGrid.GetCellData().GetArray('Index')) + # Return the indexes inside - return npsup.vtk_to_numpy(insideGrid.GetCellData().GetArray('Index')) \ No newline at end of file + return insideGrid, bcGrid \ No newline at end of file diff --git a/simpegPF/Dev/Intgrl_MAG_Fwr_DualSphereTopo_Test.py b/simpegPF/Dev/Intgrl_MAG_Fwr_DualSphereTopo_Test.py index 115b5e4a..f0355000 100644 --- a/simpegPF/Dev/Intgrl_MAG_Fwr_DualSphereTopo_Test.py +++ b/simpegPF/Dev/Intgrl_MAG_Fwr_DualSphereTopo_Test.py @@ -104,7 +104,7 @@ for ii in range(d_iter): Utils.writeUBCTensorMesh('Mesh.msh',mesh) Utils.writeUBCTensorModel('Model.sus',mesh,model) - actv = np.ones(mesh.nC) + #actv = np.ones(mesh.nC) #%% Forward mode ldata start_time = time.time() diff --git a/simpegPF/Dev/Intgrl_MAG_Fwr_VTK.py b/simpegPF/Dev/Intgrl_MAG_Fwr_VTK.py deleted file mode 100644 index b4fd32f9..00000000 --- a/simpegPF/Dev/Intgrl_MAG_Fwr_VTK.py +++ /dev/null @@ -1,76 +0,0 @@ -import os - -home_dir = '.\Test_tria_2_grid' - -inpfile = 'PYMAG3C_fwr.inp' - -dsep = '\\' - -os.chdir(home_dir) - -#%% -from SimPEG import np, sp, Utils, mkvc, Maps -import vtk, vtk.util.numpy_support as npsup -import simpegPF as PF -import pylab as plt - -## New scripts to be added to basecode -#from fwr_MAG_data import fwr_MAG_data -#from read_MAGfwr_inp import read_MAGfwr_inp - -#%% -# Read input file - -# Load mesh file -mesh = Utils.meshutils.readUBCTensorMesh('Mesh_2p5m.msh') - - -# Load GOCAD surf -tsfile = 'Crown.ts' -#[vrtx, trgl] = PF.BaseMag.read_GOCAD_ts(tsfile) - -indx = PF.BaseMag.gocad2vtk(tsfile,mesh) - -model= np.zeros(mesh.nC) -model[indx]=1 -Utils.meshutils.writeUBCTensorModel('VTKout.dat',mesh,model) - - -# Load model file -#model = Utils.meshutils.readUBCTensorModel(modfile,mesh) - -# Load in topofile or create flat surface -#============================================================================== -# if topofile == 'null': -# -# actv = np.ones(mesh.nC) -# -# else: -# topo = np.genfromtxt(topofile,skip_header=1) -# actv = PF.Magnetics.getActiveTopo(mesh,topo,'N') -# -# -# Utils.writeUBCTensorModel('nullcell.dat',mesh,actv) -# -# # Load in observation file -# [B,M,dobs] = PF.BaseMag.readUBCmagObs(obsfile) -# -# rxLoc = dobs[:,0:3] -# #rxLoc[:,2] += 5 # Temporary change for test -# ndata = rxLoc.shape[0] -#============================================================================== - - -#%% Run forward modeling -# Compute forward model using integral equation -#============================================================================== -# d = PF.Magnetics.Intgrl_Fwr_Data(mesh,B,M,rxLoc,model,actv,'tmi') -# -# # Form data object with coordinates and write to file -# wd = np.zeros((ndata,1)) -# -# # Save forward data to file -# PF.Magnetics.writeUBCobs(home_dir + dsep + 'FWR_data.dat',B,M,rxLoc,d,wd) -#============================================================================== - - diff --git a/simpegPF/Dev/Intgrl_MAG_Fwr_VTK_topo_test.py b/simpegPF/Dev/Intgrl_MAG_Fwr_VTK_topo_test.py new file mode 100644 index 00000000..36a48f14 --- /dev/null +++ b/simpegPF/Dev/Intgrl_MAG_Fwr_VTK_topo_test.py @@ -0,0 +1,139 @@ +import os + +home_dir = '.\Test_tria_2_grid' + +inpfile = 'PYMAG3C_fwr.inp' + +dsep = '\\' + +os.chdir(home_dir) + +#%% +from SimPEG import np, sp, Utils, Mesh +import scipy.interpolate as interpolation +import simpegPF as PF +import pylab as plt +import time as tm + +## New scripts to be added to basecode +#from fwr_MAG_data import fwr_MAG_data +#from read_MAGfwr_inp import read_MAGfwr_inp + +#%% +chibkg = 0.001 + +# Read in topo surface +tsfile = 'Topo_Gaussian.ts' + +# For now just read both +topofile = 'Gaussian.topo' + +topo = np.genfromtxt(topofile,skip_header=1) + +# Offset data above topo +zoffset = 2 + +# Load mesh file +B = np.array(([90.,0.,50000.])) + +M = np.array(([90.,0.,315.])) + +# Sphere radius +R = 25. + + +#%% Script starts here +# # Create a grid of observations and offset the z from topo +xr = np.linspace(-99., 99., 40) +yr = np.linspace(-49., 49., 20) +X, Y = np.meshgrid(xr, yr) + +F = interpolation.NearestNDInterpolator(topo[:,0:2],topo[:,2]) +Z = F(X,Y) + zoffset +rxLoc = np.c_[Utils.mkvc(X.T), Utils.mkvc(Y.T), Utils.mkvc(Z.T)] + +ndata = rxLoc.shape[0] + +sclx = 100. + +dx = 10 + +nc = int(sclx/dx) + +hxind = [(dx, 2*nc)] +hyind = [(dx, nc)] +hzind = [(dx, nc)] + +mesh = Mesh.TensorMesh([hxind, hyind, hzind], 'CCN') + +# Load GOCAD surf +#[vrtx, trgl] = PF.BaseMag.read_GOCAD_ts(tsfile) +# Find active cells from surface +tin = tm.time() +print "Computing indices with VTK: " +[indx, bc] = PF.BaseMag.gocad2vtk(tsfile,mesh, bcflag = False, inflag = True) +print "VTK operation completed in " + str(tm.time() - tin) + +actv = np.zeros(mesh.nC) +actv[indx] = 1 + +model= np.zeros(mesh.nC) +model[indx]= chibkg + +Utils.meshutils.writeUBCTensorModel('VTKout.dat',mesh,model) + +Utils.meshutils.writeUBCTensorMesh('Mesh_temp.msh',mesh) + +start_time = tm.time() + +d = PF.Magnetics.Intgrl_Fwr_Data(mesh,B,M,rxLoc,model,actv,'tmi') + +timer = (tm.time() - start_time) + +#%% Plot data +plt.figure(1) +ax = plt.subplot() +plt.imshow(np.reshape(d,X.shape), interpolation="bicubic", extent=[xr.min(), xr.max(), yr.min(), yr.max()], origin = 'lower') +plt.colorbar(fraction=0.02) +plt.contour(X,Y, np.reshape(d,X.shape),10) +plt.scatter(X,Y, c=np.reshape(d,X.shape), s=20) +ax.set_title('Forward data') + +# Load model file +#model = Utils.meshutils.readUBCTensorModel(modfile,mesh) + +# Load in topofile or create flat surface +#============================================================================== +# if topofile == 'null': +# +# actv = np.ones(mesh.nC) +# +# else: +# topo = np.genfromtxt(topofile,skip_header=1) +# actv = PF.Magnetics.getActiveTopo(mesh,topo,'N') +# +# +# Utils.writeUBCTensorModel('nullcell.dat',mesh,actv) +# +# # Load in observation file +# [B,M,dobs] = PF.BaseMag.readUBCmagObs(obsfile) +# +# rxLoc = dobs[:,0:3] +# #rxLoc[:,2] += 5 # Temporary change for test +# ndata = rxLoc.shape[0] +#============================================================================== + + +#%% Run forward modeling +# Compute forward model using integral equation +#============================================================================== +# d = PF.Magnetics.Intgrl_Fwr_Data(mesh,B,M,rxLoc,model,actv,'tmi') +# +# # Form data object with coordinates and write to file +# wd = np.zeros((ndata,1)) +# +# # Save forward data to file +# PF.Magnetics.writeUBCobs(home_dir + dsep + 'FWR_data.dat',B,M,rxLoc,d,wd) +#============================================================================== + + diff --git a/simpegPF/Dev/Test_tria_2_grid/Gaussian.topo 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a/simpegPF/notebooks/SimPEG Tutorial - MAG Linear Problem.ipynb b/simpegPF/notebooks/SimPEG Tutorial - MAG Linear Problem.ipynb index 1b81aa1d..63e15e34 100644 --- a/simpegPF/notebooks/SimPEG Tutorial - MAG Linear Problem.ipynb +++ b/simpegPF/notebooks/SimPEG Tutorial - MAG Linear Problem.ipynb @@ -100,7 +100,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 59, "metadata": { "collapsed": false, "scrolled": true @@ -117,12 +117,18 @@ "M = np.array([90,0])\n", "\n", "# Create a mesh\n", - "hxind = [(5, 20)]\n", - "hyind = [(5, 20)]\n", - "hzind = [(5, 10)]\n", + "dx = 5.\n", + "\n", + "hxind = [(dx,5,-1.3), (dx, 20), (dx,5,1.3)]\n", + "hyind = [(dx,5,-1.3), (dx, 20), (dx,5,1.3)]\n", + "hzind = [(dx,5,-1.3),(5, 10)]\n", "\n", "mesh = Mesh.TensorMesh([hxind, hyind, hzind], 'CCC')\n", "\n", + "# Get index of the center\n", + "midx = int(mesh.nCx/2)\n", + "midy = int(mesh.nCy/2)\n", + "\n", "# Assume flat topo for now, so all cells are active\n", "nC = mesh.nC \n", "actv = np.ones(nC)\n", @@ -132,11 +138,33 @@ "xr = np.linspace(-20., 20., 20)\n", "yr = np.linspace(-20., 20., 20)\n", "X, Y = np.meshgrid(xr, yr)\n", - "Z = np.ones(X.size)*(mesh.vectorNz[-1]+1.) # Let just put the observation flat\n", + "Z = np.ones(X.size)*(mesh.vectorNz[-1]+dx) # Let just put the observation flat\n", "\n", "rxLoc = np.c_[Utils.mkvc(X.T), Utils.mkvc(Y.T), Utils.mkvc(Z.T)]\n" ] }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "59.390075000000003" + ] + }, + "execution_count": 60, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Z.max()" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -172,7 +200,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 61, "metadata": { "collapsed": false }, @@ -209,7 +237,7 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 91, "metadata": { "collapsed": false }, @@ -228,7 +256,9 @@ "Done 60.0 %\n", "Done 70.0 %\n", "Done 80.0 %\n", - "Done 90.0 %\n" + "Done 90.0 %\n", + "Done 100% ...distance weighting completed!!\n", + "\n" ] }, { @@ -970,7 +1000,7 @@ { "data": { "text/html": [ - "" + "" ], "text/plain": [ "" @@ -983,11 +1013,11 @@ "source": [ "# Generate a distance weighting\n", "wr = PF.Magnetics.get_dist_wgt(mesh,rxLoc,3.,np.min(mesh.hx)/4)\n", - "wrMap = PF.BaseMag.WeightMap(mesh, wr**-1)\n", + "wrMap = PF.BaseMag.WeightMap(mesh, wr)\n", "\n", "plt.figure()\n", "ax = subplot()\n", - "mesh.plotSlice(wr, ax = ax, normal = 'Y', ind=10)\n", + "mesh.plotSlice(wr, ax = ax, normal = 'Y', ind=midx)\n", "title('Distance weighting')\n", "xlabel('x');ylabel('z')\n", "plt.gca().set_aspect('equal', adjustable='box')" @@ -995,7 +1025,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 92, "metadata": { "collapsed": false }, @@ -1739,7 +1769,7 @@ { "data": { "text/html": [ - "" + "" ], "text/plain": [ "" @@ -1753,21 +1783,21 @@ "# We can now create a susceptibility model and generate data\n", "# Lets start with a simple block in half-space\n", "model = np.zeros((mesh.nCx,mesh.nCy,mesh.nCz))\n", - "model[8:11,8:11,6:9] = 0.01\n", + "model[(midx-2):(midx+2),(midy-2):(midy+2),-6:-2] = 0.01\n", "model = mkvc(model)\n", "\n", "# Create a few models\n", "figure()\n", "ax = subplot(211)\n", - "mesh.plotSlice(model, ax = ax, normal = 'Y', ind=10)\n", + "mesh.plotSlice(model, ax = ax, normal = 'Y', ind=midx, grid=True)\n", "title('A simple block model.')\n", - "xlabel('x');ylabel('y')\n", + "xlabel('x');ylabel('z')\n", "plt.gca().set_aspect('equal', adjustable='box')\n", "\n", "# We can now generate data\n", "data = F.dot(model) #: this is matrix multiplication!!\n", "subplot(212)\n", - "imshow(data.reshape(X.shape))\n", + "imshow(data.reshape(X.shape), extent=[xr.min(), xr.max(), yr.min(), yr.max()])\n", "title('Predicted data.')\n", "plt.gca().set_aspect('equal', adjustable='box')\n" ] @@ -1779,7 +1809,7 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 93, "metadata": { "collapsed": false }, @@ -1820,7 +1850,7 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 97, "metadata": { "collapsed": false }, @@ -1832,17 +1862,20 @@ "survey.pair(prob)\n", "#survey.makeSyntheticData(data, std=0.01)\n", "survey.dobs=data\n", - "survey.std = np.ones(len(data))*1e-1\n", "survey.mtrue = model\n", "\n", - "reg = Regularization.Tikhonov(mesh, mapping = wrMap)\n", + "\n", + "reg = Regularization.Tikhonov(mesh, mapping=wrMap)\n", "dmis = DataMisfit.l2_DataMisfit(survey)\n", - "opt = Optimization.ProjectedGNCG(maxIter=35,lower=0.,upper=1.)\n", - "invProb = InvProblem.BaseInvProblem(dmis, reg, opt, beta = 1e-2)\n", + "dmis.Wd = np.ones(len(data))*1.\n", + "opt = Optimization.ProjectedGNCG(maxIter=6,lower=0.,upper=1.)\n", + "# opt = Optimization.InexactGaussNewton(maxIter=6)\n", + "invProb = InvProblem.BaseInvProblem(dmis, reg, opt, beta = 1e+4)\n", "beta = Directives.BetaSchedule()\n", "#betaest = Directives.BetaEstimate_ByEig()\n", "target = Directives.TargetMisfit()\n", "inv = Inversion.BaseInversion(invProb, directiveList=[beta, target])\n", + "reg.alpha_s =0.0025\n", "m0 = np.ones_like(survey.mtrue)*1e-4" ] }, @@ -1855,7 +1888,7 @@ }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 98, "metadata": { "collapsed": false }, @@ -1870,18 +1903,14 @@ "=============================== Projected GNCG ===============================\n", " # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n", "-----------------------------------------------------------------------------\n", - "SimPEG.l2_DataMisfit is creating default weightings for Wd.\n", - " 0 1.00e-02 3.06e+05 1.89e-04 3.06e+05 3.98e+01 0 \n", - " 1 1.00e-02 5.42e+04 1.86e-04 5.42e+04 3.93e+01 0 \n", - " 2 1.00e-02 2.72e+04 1.78e-04 2.72e+04 3.89e+01 0 Skip BFGS \n", - " 3 1.25e-03 1.98e+04 1.42e-04 1.98e+04 3.81e+01 0 Skip BFGS \n", - " 4 1.25e-03 1.97e+04 1.63e-04 1.97e+04 3.80e+01 3 \n", - " 5 1.25e-03 1.86e+04 5.30e-05 1.86e+04 3.72e+01 0 \n", - "------------------------------------------------------------------\n", - "0 : ft = 1.9170e+04 <= alp*descent = 1.8567e+04\n", - "1 : maxIterLS = 10 <= iterLS = 10\n", - "------------------------- End Linesearch -------------------------\n", - "The linesearch got broken. Boo.\n" + " 0 1.00e+04 5.58e+04 2.22e-07 5.58e+04 8.41e+01 0 \n", + "------------------------- STOP! -------------------------\n", + "1 : |fc-fOld| = 0.0000e+00 <= tolF*(1+|f0|) = 5.5847e+03\n", + "1 : |xc-x_last| = 4.1645e-02 <= tolX*(1+|x0|) = 1.0116e-01\n", + "0 : |proj(x-g)-x| = 8.4094e+01 <= tolG = 1.0000e-01\n", + "0 : |proj(x-g)-x| = 8.4094e+01 <= 1e3*eps = 1.0000e-02\n", + "0 : maxIter = 6 <= iter = 1\n", + "------------------------- DONE! -------------------------\n" ] } ], @@ -1891,29 +1920,7 @@ }, { "cell_type": "code", - "execution_count": 46, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "0.0" - ] - }, - "execution_count": 46, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "min(mrec)" - ] - }, - { - "cell_type": "code", - "execution_count": 47, + "execution_count": 99, "metadata": { "collapsed": false }, @@ -2657,7 +2664,7 @@ { "data": { "text/html": [ - "" + "" ], "text/plain": [ "" @@ -2665,15 +2672,47 @@ }, "metadata": {}, "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 99, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ + "# Here is the recovered susceptibility model\n", "plt.figure()\n", - "ax = subplot()\n", + "ax = subplot(211)\n", "mesh.plotSlice(mrec, ax = ax, normal = 'Y', ind=10)\n", "title('Recovered model.')\n", "xlabel('x');ylabel('y')\n", - "plt.gca().set_aspect('equal', adjustable='box')" + "plt.gca().set_aspect('equal', adjustable='box')\n", + "\n", + "# Plot predicted data and residual\n", + "pred = F.dot(mrec) #: this is matrix multiplication!!\n", + "\n", + "subplot(234)\n", + "imshow(data.reshape(X.shape))\n", + "title('Predicted data.')\n", + "plt.gca().set_aspect('equal', adjustable='box')\n", + "colorbar()\n", + "\n", + "subplot(235)\n", + "imshow(pred.reshape(X.shape))\n", + "title('Predicted data.')\n", + "plt.gca().set_aspect('equal', adjustable='box')\n", + "colorbar()\n", + "\n", + "subplot(236)\n", + "imshow(data.reshape(X.shape) - pred.reshape(X.shape))\n", + "title('Residual data.')\n", + "plt.gca().set_aspect('equal', adjustable='box')\n", + "colorbar()" ] }, {