diff --git a/simpegPF/Dev/GRAV/Intgrl_GRAV_Inv_Driver.py b/simpegPF/Dev/GRAV/Intgrl_GRAV_Inv_Driver.py index 1eb387a0..677d360b 100644 --- a/simpegPF/Dev/GRAV/Intgrl_GRAV_Inv_Driver.py +++ b/simpegPF/Dev/GRAV/Intgrl_GRAV_Inv_Driver.py @@ -3,7 +3,7 @@ from SimPEG import * import simpegPF as PF import pylab as plt import os -home_dir = '.\\' +home_dir = 'C:\\Users\\dominiquef.MIRAGEOSCIENCE\\ownCloud\\Research\\Modelling\\Synthetic\\SingleBlock\\GRAV' inpfile = 'PYGRAV3D_inv.inp' dsep = '\\' os.chdir(home_dir) @@ -11,15 +11,15 @@ plt.close('all') #%% User input # Initial beta -beta_in = 1e+2 +beta_in = 1e+5 # Treshold values for compact norm -eps_p = 1e-2 # Small model values -eps_q = 1e-2 # Small model gradient +eps_p = 1e-3 # Small model values +eps_q = 1e-3 # Small model gradient # Plotting parameter -vmin = -0.1 -vmax = 0.2 +vmin = -0.05 +vmax = 0 #%% # Read input file [mshfile, obsfile, topofile, mstart, mref, wgtfile, chi, alphas, bounds, lpnorms] = PF.Gravity.read_GRAVinv_inp(home_dir + dsep + inpfile) @@ -91,18 +91,28 @@ pred = prob.fields(mstart) PF.Gravity.writeUBCobs(home_dir + dsep + 'Pred0.dat',survey,pred) +# # Make depth weighting -wr = np.sum(prob.G**2.,axis=0)**0.5 / mesh.vol[actv] -wr = ( wr/np.max(wr) ) -wr_out = actvMap * wr +#wr = np.sum(prob.G**2.,axis=0)**0.5 / mesh.vol[actv] +#wr = ( wr/np.max(wr) ) +#wr_out = actvMap * wr + +# Load weighting file +if wgtfile is None: + wr = PF.Magnetics.get_dist_wgt(mesh, rxLoc, actv, 3., np.min(mesh.hx)/4.) + wr = wr**2. +else: + wr = Mesh.TensorMesh.readModelUBC(mesh, home_dir + dsep + wgtfile) + wr = wr[actv] + wr = wr**2. #%% Plot depth weighting -#plt.figure() -#ax = plt.subplot() -#mesh.plotSlice(actvMap*mstart, ax = ax, normal = 'Y', ind=midx+1 ,clim = (-1e-1, mstart.max())) -#plt.title('Distance weighting') -#plt.xlabel('x');plt.ylabel('z') -#plt.gca().set_aspect('equal', adjustable='box') +plt.figure() +ax = plt.subplot() +mesh.plotSlice(actvMap*wr, ax = ax, normal = 'Y', ind=midx+1 ,clim = (0, wr.max())) +plt.title('Distance weighting') +plt.xlabel('x');plt.ylabel('z') +plt.gca().set_aspect('equal', adjustable='box') #%% Create inversion objects @@ -113,13 +123,13 @@ reg.wght = wr # Create pre-conditioner -diagA = np.sum(prob.G**2.,axis=0) + beta_in*(reg.W.T*reg.W).diagonal()*wr +diagA = np.sum(prob.G**2.,axis=0) + beta_in*(reg.W.T*reg.W).diagonal() PC = Utils.sdiag(diagA**-1.) # Data misfit function dmis = DataMisfit.l2_DataMisfit(survey) dmis.Wd = 1./wd -opt = Optimization.ProjectedGNCG(maxIter=20,lower=bounds[0],upper=bounds[1], maxIterCG= 20, tolCG = 1e-3) +opt = Optimization.ProjectedGNCG(maxIter=20,lower=bounds[0],upper=bounds[1], maxIterCG= 50, tolCG = 1e-4) opt.approxHinv = PC @@ -178,7 +188,7 @@ plt.hist(mrec,100) plt.yscale('log', nonposy='clip') plt.title('Histogram of model values - Smooth') ax = plt.subplot(122) -plt.hist(reg.Wsmooth*mrec,100) +plt.hist(reg.regmesh.cellDiffxStencil*mrec,100) plt.yscale('log', nonposy='clip') plt.title('Histogram of model gradient values - Smooth') #%% Run one more round for sparsity @@ -191,12 +201,9 @@ reg.mref = mref reg.wght = wr reg.eps_p = eps_p reg.eps_q = eps_q -reg.p = lpnorms[0] -reg.qx = lpnorms[1] -reg.qy = lpnorms[2] -reg.qz = lpnorms[3] +reg.norms = lpnorms -diagA = np.sum(prob.G**2.,axis=0) + beta_in*(reg.W.T*reg.W).diagonal()*(wr) +diagA = np.sum(prob.G**2.,axis=0) + beta_in*(reg.W.T*reg.W).diagonal() PC = Utils.sdiag(diagA**-1.) #reg.alpha_s = 1. @@ -261,6 +268,6 @@ plt.hist(mrec,100) plt.yscale('log', nonposy='clip') plt.title('Histogram of model values - Sparse lp:'+str(lpnorms[0])) ax = plt.subplot(122) -plt.hist(reg.Wsmooth*mrec,100) +plt.hist(reg.regmesh.cellDiffxStencil*mrec,100) plt.yscale('log', nonposy='clip') plt.title('Histogram of model gradient values - Sparse lqx: ' + str(lpnorms[1]) + ' lqy:'+ str(lpnorms[2]) + ' lqz:' + str(lpnorms[3])) \ No newline at end of file diff --git a/simpegPF/Dev/GRAV/Intgrl_GRAV_Inv_Driver_LdM_Craig.py b/simpegPF/Dev/GRAV/Intgrl_GRAV_Inv_Driver_LdM_Craig.py new file mode 100644 index 00000000..eba9dc4c --- /dev/null +++ b/simpegPF/Dev/GRAV/Intgrl_GRAV_Inv_Driver_LdM_Craig.py @@ -0,0 +1,323 @@ +#%% +from SimPEG import * +import simpegPF as PF +import pylab as plt +import os +import numpy as np + +#home_dir = 'C:\Egnyte\Private\craigm\PHD\LdM\Gravity\Bouguer\SIMPEG\models' +home_dir = 'C:\Users\dominiquef.MIRAGEOSCIENCE\Documents\GIT\SimPEG\simpegpf\simpegPF\Dev\GRAV' +#inpfile = 'PYGRAV3D_inv_LdM_Craig.inp' +inpfile = 'PYGRAV3D_inv_checkerboard.inp' +dsep = '\\' +os.chdir(home_dir) +plt.close('all') + +#%% User input +# Initial beta +beta_in = 1e-2 + +# Treshold values for compact norm +eps_p = 0.01 # Compact model values +eps_q = 0.01 # ompact model gradient + +# Plotting parameter +vmin = -0.1 +vmax = 0.2 +#%% +# Read input file +[mshfile, obsfile, topofile, mstart, mref, wgtfile, chi, alphas, bounds, lpnorms] = PF.Gravity.read_GRAVinv_inp(home_dir + dsep + inpfile) + +# Load mesh file +mesh = Mesh.TensorMesh.readUBC(mshfile) + +# Load in observation file +survey = PF.Gravity.readUBCgravObs(obsfile) + +# Get obs location and data +rxLoc = survey.srcField.rxList[0].locs +d = survey.dobs +wd = survey.std + +ndata = survey.srcField.rxList[0].locs.shape[0] + +# Load in topofile or create flat surface +if topofile == 'null': + + # All active + actv = np.asarray(range(mesh.nC)) + +else: + + topo = np.genfromtxt(topofile,skip_header=1) + # Find the active cells + actv = PF.Magnetics.getActiveTopo(mesh,topo,'N') + +nC = len(actv) + +# Create active map to go from reduce set to full +actvMap = Maps.InjectActiveCells(mesh, actv, -100) + +# Creat reduced identity map +idenMap = Maps.IdentityMap(nP = nC) + +# Load starting model file +if isinstance(mstart, float): + + mstart = np.ones(nC) * mstart +else: + mstart = Mesh.TensorMesh.readModelUBC(mesh,mstart) + mstart = mstart[actv] + +# Load reference file +if isinstance(mref, float): + mref = np.ones(nC) * mref +else: + mref = Mesh.TensorMesh.readModelUBC(mesh,mref) + mref = mref[actv] + +# Get index of the center for plotting +midx = int(mesh.nCx/2) +midy = int(mesh.nCy/2) + + +#%% Plot obs data +#PF.Gravity.plot_obs_2D(survey,'Observed Data') + +#%% Run inversion +prob = PF.Gravity.GravityIntegral(mesh, mapping = idenMap, actInd = actv) +prob.solverOpts['accuracyTol'] = 1e-4 + +survey.pair(prob) + +# Write out the predicted file and generate the forward operator +pred = prob.fields(mstart) + +PF.Gravity.writeUBCobs(home_dir + dsep + 'Pred0.dat',survey,pred) + +# Make depth weighting +#wr = np.sum(prob.G**2.,axis=0)**0.5 / mesh.vol[actv] +#wr = ( wr/np.max(wr) ) +#wr_out = actvMap * wr + + +#A different weighting function from Dominic +#wr = PF.Magnetics.get_dist_wgt(mesh, rxLoc, actv, 2., np.min(mesh.hx)/4.) +#wr = wr**2. + + +# Load weighting file +if wgtfile is None: + wr = PF.Magnetics.get_dist_wgt(mesh, rxLoc, actv, 2., np.min(mesh.hx)/4.) + wr = wr**2. +else: + wr = Mesh.TensorMesh.readModelUBC(mesh, home_dir + dsep + wgtfile) + wr = wr[actv] + wr = wr**2. + + + +#%% Plot depth weighting +plt.figure() +ax = plt.subplot() +datwgt=mesh.plotSlice(actvMap*wr, ax = ax, normal = 'Y', ind=midx+1 ,clim = (-1e-1, wr.max())) +plt.title('Distance weighting') +plt.xlabel('x');plt.ylabel('z') +plt.gca().set_aspect('equal', adjustable='box') +cb = plt.colorbar(datwgt[0],orientation="vertical") +cb.set_label('Weighting') +plt.savefig(home_dir + dsep + 'Weighting.png', dpi=300) + +#%% Create inversion objects + +print '\nRun smooth inversion \n' +# First start with an l2 (smooth model) regularization +reg = Regularization.Simple(mesh, indActive = actv, mapping = idenMap) +reg.mref = mref +reg.wght = wr + + + +# Create pre-conditioner +diagA = np.sum(prob.G**2.,axis=0) + beta_in*(reg.W.T*reg.W).diagonal() +PC = Utils.sdiag(diagA**-1.) + +# Data misfit function +dmis = DataMisfit.l2_DataMisfit(survey) +dmis.Wd = 1./wd +opt = Optimization.ProjectedGNCG(maxIter=20,lower=bounds[0],upper=bounds[1], maxIterCG= 20, tolCG = 1e-3) +opt.approxHinv = PC + + +invProb = InvProblem.BaseInvProblem(dmis, reg, opt, beta = beta_in) +beta = Directives.BetaSchedule(coolingFactor=2, coolingRate=1) +target = Directives.TargetMisfit() + +inv = Inversion.BaseInversion(invProb, directiveList=[beta,target]) + +m0 = mstart + +# Run inversion +mrec = inv.run(m0) + +m_out = actvMap*mrec + +# Write result +Mesh.TensorMesh.writeModelUBC(mesh,'SimPEG_inv_l2l2.den',m_out) +#Utils.meshutils.writeUBCTensorModel(home_dir+dsep+'wr.dat',mesh,wr_out) + +# Plot predicted +pred = prob.fields(mrec) +#PF.Magnetics.plot_obs_2D(rxLoc,pred,wd,'Predicted Data') +#PF.Magnetics.plot_obs_2D(rxLoc,(d-pred),wd,'Residual Data') + +print "Final misfit:" + str(np.sum( ((d-pred)/wd)**2. ) ) + +#%% Plot out sections of the smooth model + +yslice = midx+1 + +plt.figure(figsize=(15,10)) +plt.suptitle('Smooth Inversion') +ax = plt.subplot(221) +dat1=mesh.plotSlice(m_out, ax = ax, normal = 'Z', ind=-5, clim = (vmin,vmax)) +plt.plot(np.array([mesh.vectorCCx[0],mesh.vectorCCx[-1]]), np.array([mesh.vectorCCy[yslice],mesh.vectorCCy[yslice]]),c='w',linestyle = '--') +plt.scatter(rxLoc[0:,0], rxLoc[0:,1], color='w',s=1) +plt.title('Z: ' + str(mesh.vectorCCz[-5]) + ' m') +plt.xlabel('Easting (m)');plt.ylabel('Northing (m)') +plt.gca().set_aspect('equal', adjustable='box') +cb = plt.colorbar(dat1[0],orientation="vertical", ticks=np.linspace(vmin, vmax, 4)) +cb.set_label('Density (kg/m3)') + +ax = plt.subplot(222) +dat = mesh.plotSlice(m_out, ax = ax, normal = 'Z', ind=-8, clim = (vmin,vmax)) +plt.plot(np.array([mesh.vectorCCx[0],mesh.vectorCCx[-1]]), np.array([mesh.vectorCCy[yslice],mesh.vectorCCy[yslice]]),c='w',linestyle = '--') +plt.scatter(rxLoc[0:,0], rxLoc[0:,1], color='w',s=1) +plt.title('Z: ' + str(mesh.vectorCCz[-8]) + ' m') +plt.xlabel('Easting (m)');plt.ylabel('Northing (m)') +plt.gca().set_aspect('equal', adjustable='box') +cb = plt.colorbar(dat1[0],orientation="vertical", ticks=np.linspace(vmin, vmax, 4)) +cb.set_label('Density (kg/m3)') + +ax = plt.subplot(212) +mesh.plotSlice(m_out, ax = ax, normal = 'Y', ind=yslice, clim = (vmin,vmax)) +plt.title('Cross Section') +plt.xlabel('Easting(m)');plt.ylabel('Elevation') +plt.gca().set_aspect('equal', adjustable='box') +cb = plt.colorbar(dat1[0],orientation="vertical", ticks=np.linspace(vmin, vmax, 4)) +cb.set_label('Density (kg/m3)') +plt.savefig(home_dir + str('\Figure1.png'), dpi=300, bb_inches='tight') + +#plot histograms +plt.figure(figsize=(15,10)) +ax = plt.subplot(121) +plt.hist(mrec,100) +plt.yscale('log', nonposy='clip') +plt.xlim(mrec.mean() - 4.*(mrec.std()), mrec.mean() + 4.*(mrec.std())) +plt.title('Histogram of model values - Smooth') + +ax = plt.subplot(122) +plt.hist(reg.regmesh.cellDiffxStencil*mrec,100) +plt.yscale('log', nonposy='clip') +plt.xlim(mrec.mean() - 4.*(mrec.std()), mrec.mean() + 4.*(mrec.std())) +plt.title('Histogram of model gradient values - Smooth') +plt.savefig(home_dir + str('\Figure2.png'), dpi=300, bb_inches='tight') +#%% Run one more round for sparsity (Compact model) +print '\nRun compact inversion \n' +phim = invProb.phi_m_last +phid = invProb.phi_d + +reg = Regularization.Sparse(mesh, indActive = actv, mapping = idenMap) +reg.recModel = mrec +reg.mref = mref +reg.wght = wr +reg.eps_p = eps_p +reg.eps_q = eps_q +reg.norms = lpnorms + +diagA = np.sum(prob.G**2.,axis=0) + beta_in*(reg.W.T*reg.W).diagonal() +PC = Utils.sdiag(diagA**-1.) + +#reg.alpha_s = 1. + +dmis = DataMisfit.l2_DataMisfit(survey) +dmis.Wd = 1./wd +opt = Optimization.ProjectedGNCG(maxIter=10 ,lower=bounds[0],upper=bounds[1], maxIterCG= 25, tolCG = 1e-4) +opt.approxHinv = PC +#opt.phim_last = reg.eval(mrec) + +# opt = Optimization.InexactGaussNewton(maxIter=6) +invProb = InvProblem.BaseInvProblem(dmis, reg, opt, beta = invProb.beta) +beta = Directives.BetaSchedule(coolingFactor=1, coolingRate=1) +#betaest = Directives.BetaEstimate_ByEig() +target = Directives.TargetMisfit() +IRLS =Directives.Update_IRLS( phi_m_last = phim, phi_d_last = phid ) + +inv = Inversion.BaseInversion(invProb, directiveList=[beta,IRLS]) + +m0 = mrec + +# Run inversion +mrec = inv.run(m0) + +m_out = actvMap*mrec + +Mesh.TensorMesh.writeModelUBC(mesh,'SimPEG_inv_l0l2.den',m_out) + +pred = prob.fields(mrec) + +#%% Plot obs data +PF.Magnetics.plot_obs_2D(rxLoc,pred,'Predicted Data', vmin = np.min(d), vmax = np.max(d)) +plt.savefig(home_dir + str('\Figure3.png'), dpi=300, bb_inches='tight') +PF.Magnetics.plot_obs_2D(rxLoc,d,'Observed Data') +plt.savefig(home_dir + str('\Figure4.png'), dpi=300, bb_inches='tight') +print "Final misfit:" + str(np.sum( ((d-pred)/wd)**2. ) ) +#%% Plot out a section of the compact model + +yslice = midx +plt.figure(figsize=(15,10)) +plt.suptitle('Compact Inversion') +ax = plt.subplot(221) +mesh.plotSlice(m_out, ax = ax, normal = 'Z', ind=-5, clim = (vmin,vmax)) +plt.plot(np.array([mesh.vectorCCx[0],mesh.vectorCCx[-1]]), np.array([mesh.vectorCCy[yslice],mesh.vectorCCy[yslice]]),c='w',linestyle = '--') +plt.scatter(rxLoc[0:,0], rxLoc[0:,1], color='w',s=1) +plt.title('Z: ' + str(mesh.vectorCCz[-5]) + ' m') +plt.xlabel('Easting (m)');plt.ylabel('Northing (m)') +plt.gca().set_aspect('equal', adjustable='box') +cb = plt.colorbar(dat1[0],orientation="vertical", ticks=np.linspace(vmin, vmax, 4)) +cb.set_label('Density (kg/m3)') + +ax = plt.subplot(222) +mesh.plotSlice(m_out, ax = ax, normal = 'Z', ind=-8, clim = (vmin,vmax)) +plt.plot(np.array([mesh.vectorCCx[0],mesh.vectorCCx[-1]]), np.array([mesh.vectorCCy[yslice],mesh.vectorCCy[yslice]]),c='w',linestyle = '--') +plt.scatter(rxLoc[0:,0], rxLoc[0:,1], color='w',s=1) +plt.title('Z: ' + str(mesh.vectorCCz[-8]) + ' m') +plt.xlabel('Easting (m)');plt.ylabel('Northing (m)') +plt.gca().set_aspect('equal', adjustable='box') +cb = plt.colorbar(dat1[0],orientation="vertical", ticks=np.linspace(vmin, vmax, 4)) +cb.set_label('Density (kg/m3)') + +ax = plt.subplot(212) +mesh.plotSlice(m_out, ax = ax, normal = 'Y', ind=yslice, clim = (vmin,vmax)) +plt.title('Cross Section') +plt.xlabel('Easting (m)');plt.ylabel('Elevation (m)') +plt.gca().set_aspect('equal', adjustable='box') +cb = plt.colorbar(dat1[0],orientation="vertical", ticks=np.linspace(vmin, vmax, 4)) +cb.set_label('Density (kg/m3)') + +plt.savefig(home_dir + str('\Figure5.png'), dpi=300, bb_inches='tight') + + +plt.figure(figsize=(15,10)) +ax = plt.subplot(121) +plt.hist(mrec,100) +plt.xlim(mrec.mean() - 4.*(mrec.std()), mrec.mean() + 4.*(mrec.std())) +plt.yscale('log', nonposy='clip') +plt.title('Histogram of model values - Sparse lp:'+str(lpnorms[0])) + +ax = plt.subplot(122) +plt.hist(reg.regmesh.cellDiffxStencil*mrec,100) +plt.xlim(mrec.mean() - 4.*(mrec.std()), mrec.mean() + 4.*(mrec.std())) +plt.yscale('log', nonposy='clip') +plt.title('Histogram of model gradient values - Sparse lqx: ' + str(lpnorms[1]) + ' lqy:'+ str(lpnorms[2]) + ' lqz:' + str(lpnorms[3])) +plt.savefig(home_dir + str('\Figure6.png'), dpi=300, bb_inches='tight') \ No newline at end of file diff --git a/simpegPF/Dev/GRAV/Pred0.dat b/simpegPF/Dev/GRAV/Pred0.dat index edbd79d5..2db7a0eb 100644 --- a/simpegPF/Dev/GRAV/Pred0.dat +++ b/simpegPF/Dev/GRAV/Pred0.dat @@ -1,617 +1,192 @@ -616 -1.050000e+02 1.550000e+02 2.408312e+02 5.429956e-04 2.000000e-03 -1.150000e+02 1.550000e+02 2.440469e+02 5.498174e-04 2.000000e-03 -1.250000e+02 1.550000e+02 2.471986e+02 5.575820e-04 2.000000e-03 -1.350000e+02 1.550000e+02 2.502569e+02 5.657694e-04 2.000000e-03 -1.450000e+02 1.550000e+02 2.531923e+02 5.709679e-04 2.000000e-03 -1.550000e+02 1.550000e+02 2.559753e+02 5.756866e-04 2.000000e-03 -1.650000e+02 1.550000e+02 2.585770e+02 5.814230e-04 2.000000e-03 -1.750000e+02 1.550000e+02 2.609695e+02 5.864902e-04 2.000000e-03 -1.850000e+02 1.550000e+02 2.631267e+02 5.894365e-04 2.000000e-03 -1.950000e+02 1.550000e+02 2.650244e+02 5.913321e-04 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-3.107688370239245455e-03 -3.114654556699478303e-03 -3.359467221293865272e-03 -3.843963231179414308e-03 --1.000000000000000000e+02 --1.000000000000000000e+02 --1.000000000000000000e+02 --1.000000000000000000e+02 --1.000000000000000000e+02 --1.000000000000000000e+02 --1.000000000000000000e+02 --1.000000000000000000e+02 --1.000000000000000000e+02 --1.000000000000000000e+02 --1.000000000000000000e+02 -3.661032791385071886e-03 -3.874751423810395261e-03 -4.661719924333443052e-03 -4.469434761947129083e-03 -3.051999450597569358e-03 -4.018795112654627300e-03 -3.896539225613200944e-03 -3.604951218853744057e-03 -4.467060420488744646e-03 diff --git a/simpegPF/Dev/GRAV/Weighting.png b/simpegPF/Dev/GRAV/Weighting.png new file mode 100644 index 00000000..bbb9d2aa Binary files /dev/null and b/simpegPF/Dev/GRAV/Weighting.png differ diff --git a/simpegPF/Dev/MAG/Intgrl_MAG_Inv_Driver.py b/simpegPF/Dev/MAG/Intgrl_MAG_Inv_Driver.py index 1cb9a83c..1700b861 100644 --- a/simpegPF/Dev/MAG/Intgrl_MAG_Inv_Driver.py +++ b/simpegPF/Dev/MAG/Intgrl_MAG_Inv_Driver.py @@ -36,7 +36,8 @@ wd = survey.std ndata = survey.srcField.rxList[0].locs.shape[0] beta_in = 1e+5 - +eps_p = 1e-4 +eps_q = 1e-4 # Load in topofile or create flat surface if topofile == 'null': @@ -91,7 +92,7 @@ midy = int(mesh.nCy/2) #============================================================================== #%% Plot obs data -PF.Magnetics.plot_obs_2D(rxLoc,d,wd,'Observed Data') +PF.Magnetics.plot_obs_2D(rxLoc,d,'Observed Data') #%% Run inversion prob = PF.Magnetics.MagneticIntegral(mesh, mapping = idenMap, actInd = actv) @@ -106,7 +107,7 @@ survey.pair(prob) pred = prob.fields(mstart) PF.Magnetics.writeUBCobs(home_dir + dsep + 'Pred.dat',survey,pred) -wr = np.sum(prob.G**2.,axis=0)**0.5 +wr = np.sum(prob.G**2.,axis=0)**0.5 / mesh.vol[actv] wr = ( wr/np.max(wr) ) wr_out = actvMap * wr @@ -123,7 +124,7 @@ reg.wght = wr #reg.alpha_s = 1. # Create pre-conditioner -diagA = np.sum(prob.G**2.,axis=0) + beta_in*(reg.W.T*reg.W).diagonal()*wr +diagA = np.sum(prob.G**2.,axis=0) + beta_in*(reg.W.T*reg.W).diagonal() PC = Utils.sdiag(diagA**-1.) @@ -192,13 +193,12 @@ reg = Regularization.Sparse(mesh, indActive = actv, mapping = idenMap) reg.recModel = mrec reg.mref = mref reg.wght = wr -reg.eps = 1e-5 -reg.p = lpnorms[0] -reg.qx = lpnorms[1] -reg.qz = lpnorms[2] -reg.qy = lpnorms[3] +reg.eps_p = eps_p +reg.eps_q = eps_q +reg.norms = lpnorms -diagA = np.sum(prob.G**2.,axis=0) + beta_in*(reg.W.T*reg.W).diagonal()*(wr) + +diagA = np.sum(prob.G**2.,axis=0) + beta_in*(reg.W.T*reg.W).diagonal() PC = Utils.sdiag(diagA**-1.) #reg.alpha_s = 1. @@ -214,7 +214,7 @@ invProb = InvProblem.BaseInvProblem(dmis, reg, opt, beta = invProb.beta) beta = Directives.BetaSchedule(coolingFactor=1, coolingRate=1) #betaest = Directives.BetaEstimate_ByEig() target = Directives.TargetMisfit() -IRLS =Directives.update_IRLS( phi_m_last = phim, phi_d_last = phid ) +IRLS =Directives.Update_IRLS( phi_m_last = phim, phi_d_last = phid ) inv = Inversion.BaseInversion(invProb, directiveList=[beta,IRLS]) @@ -230,8 +230,8 @@ Mesh.TensorMesh.writeModelUBC(mesh,'SimPEG_inv_l0l2.sus',m_out) pred = prob.fields(mrec) #%% Plot obs data -PF.Magnetics.plot_obs_2D(rxLoc,pred,wd,'Predicted Data') -PF.Magnetics.plot_obs_2D(rxLoc,d,wd,'Observed Data') +PF.Magnetics.plot_obs_2D(rxLoc,pred,'Predicted Data') +PF.Magnetics.plot_obs_2D(rxLoc,d,'Observed Data') print "Final misfit:" + str(np.sum( ((d-pred)/wd)**2. ) ) #%% Plot out a section of the model diff --git a/simpegPF/Dev/MAG/Mag_Inv_Param.py b/simpegPF/Dev/MAG/Mag_Inv_Param.py new file mode 100644 index 00000000..5613f76e --- /dev/null +++ b/simpegPF/Dev/MAG/Mag_Inv_Param.py @@ -0,0 +1,464 @@ +# -*- coding: utf-8 -*- +""" +Created on Wed Feb 03 21:34:50 2016 + +@author: dominiquef +""" +from SimPEG import * +import simpegPF as PF +from simpegPF import BaseMag as MAG +from numpy.polynomial import polynomial + +import pylab as plt + +import os + +#home_dir = 'C:\Users\dominiquef.MIRAGEOSCIENCE\Documents\GIT\SimPEG\simpegpf\simpegPF\Dev' +#home_dir = 'C:\\Users\\dominiquef.MIRAGEOSCIENCE\\ownCloud\\Research\\Modelling\\Synthetic\\Parametric_plane' +#home_dir = 'C:\\LC\\Private\\dominiquef\\Projects\\4414_Minsim\\Modeling\\MAG\\Lalor' +#home_dir = 'C:\Users\dominiquef.MIRAGEOSCIENCE\ownCloud\Research\Nate\Modeling' +home_dir = 'C:\\Users\\dominiquef.MIRAGEOSCIENCE\\Google Drive\\DevDomNateDBE\\DomNate\\Fault_synthetic\\NE' +#home_dir = '.\\' +plt.close('all') + +inpfile = 'PYMAG3D_inv.inp' + +dsep = '\\' +os.chdir(home_dir) +## New scripts to be added to basecode +#from fwr_MAG_data import fwr_MAG_data +#from read_MAGfwr_inp import read_MAGfwr_inp +beta_in = 1e+0 +ndv = -100 +#%% +# Read input file +[mshfile, obsfile, topofile, m0_val, mref, magfile, wgtfile, chi, alphas, bounds, lpnorms] = PF.Magnetics.read_MAGinv_inp(home_dir + dsep + inpfile) + +#obsfile = 'Synthetic.obs' +#obsfile ='Lalor_rtp_2pc_10nT_RegRem.obs' +#obsfile = 'Obs_ALL.obs' + +# Discretization for new mesh +dx = 50. + +# Load mesh file +mesh = Mesh.TensorMesh.readUBC(mshfile) +z0 = mesh.x0[2] + np.sum(mesh.hz) +#mesh = Utils.meshutils.readUBCTensorMesh(mshfile) + +#V2D = polynomial.polyvander2d(mesh.vectorCCx,mesh.vectorCCy,[1,1]) +# Load in observation file +survey = PF.Magnetics.readUBCmagObs(obsfile) +rxLoc_full = survey.srcField.rxList[0].locs +data = survey.dobs +wd = survey.std + +npad = 10 +#%% Pick points from dats and generate local mesh +PF.Magnetics.plot_obs_2D(rxLoc_full,data, levels = [0.]) + +#PF.Magnetics.plot_obs_2D(dobs[:,:3],dobs[:,3],dobs[:,4],'Observed Data') +gin = np.asarray(plt.ginput(100, timeout = 0)) +#gin = np.asarray([[ -81.82517326, -167.83403552], +# [ -21.0157401 , 133.78075295]]) +for ii in range(gin.shape[0]-1): + + dl_len = np.sqrt( np.sum((gin[ii,:] - gin[ii+1,:])**2) ) + dl_x = ( gin[ii,0] - gin[ii+1,0] ) / dl_len + dl_y = ( gin[ii+1,1] - gin[ii,1] ) / dl_len + azm = -np.arctan(dl_x/dl_y) + + # Create rotation matrix + Rz = np.array([[np.cos(azm), -np.sin(azm)], + [np.sin(azm), np.cos(azm)]]) + + # Re-center the experiment + midx = np.median([gin[ii,0],gin[ii+1,0]]) + midy = np.median([gin[ii+1,1],gin[ii,1]]) + + temp = np.vstack([rxLoc_full[:,0].T- midx, rxLoc_full[:,1].T- midy]) + + # Rotate + ROTxy = Rz.dot(temp) + + # Grab data points within a box + indx = (np.abs(ROTxy[0,:]) < dl_len) & (np.abs(ROTxy[1,:]) < dl_len/2) + + subrx = MAG.RxObs(np.c_[ROTxy[0,indx].T, ROTxy[1,indx].T, rxLoc_full[indx,2]]) + d = data[indx] + uncert = wd[indx] + + srcParam = np.asarray(survey.srcField.param) + srcParam[2] = srcParam[2] - np.rad2deg(azm) + srcField = MAG.SrcField([subrx],srcParam) + survey = MAG.LinearSurvey(srcField) + survey.dobs = d + survey.std = uncert + PF.Magnetics.writeUBCobs(home_dir+'\\Obsloc_local.dat',survey,survey.dobs) + rxLoc = survey.srcField.rxList[0].locs + PF.Magnetics.plot_obs_2D(rxLoc,d,'Observed Data') + + ndata = rxLoc.shape[0] + + # Get extent limits + xlim = np.max(np.abs(rxLoc[:,0])) + ylim = np.max(np.abs(rxLoc[:,1])) + + ncx = int(4*xlim/dx) + ncy = int(2*ylim/dx) + ncz = int(np.min([ncx,ncy])) + + hxind = [(dx,npad,-1.3),(dx, ncx),(dx,npad,1.3)] + hyind = [(dx,npad,-1.3),(dx, ncy),(dx,npad,1.3)] + hzind = [(dx,npad,-1.3),(dx, ncz)] + + mesh = Mesh.TensorMesh([hxind, hyind, hzind], 'CCN') + + mesh.x0[2] = np.max(rxLoc[:,2]) - np.sum(mesh.hz) # Keep top of mesh at same location as before + Mesh.TensorMesh.writeUBC(mesh,home_dir+dsep+'Mesh_local.msh') + + + # Load in topofile or create flat surface + if topofile == 'null': + + # All active + actv = np.asarray(range(mesh.nC)) + + else: + + topo = np.genfromtxt(topofile,skip_header=1) + temp = np.vstack([topo[:,0].T- midx, topo[:,1].T- midy]) + + # Rotate + ROTxy = Rz.dot(temp) + ROT_topo = np.c_[ROTxy[0,:].T, ROTxy[1,:].T, topo[:,2]] + + # Find the active cells + actv = PF.Magnetics.getActiveTopo(mesh,ROT_topo,'N') + + nC = len(actv) + idenMap = Maps.IdentityMap(nP = nC) + # Create active map to go from reduce set to full + actvMap = Maps.InjectActiveCells(mesh, actv, ndv) + + # Load starting model file +# if isinstance(mstart, float): + + mstart = np.ones(nC) * m0_val +# else: +# mstart = Utils.meshutils.readUBCTensorModel(mstart,mesh) +# mstart = mstart[actv] + + + + # Get magnetization vector for MOF + if magfile=='DEFAULT': + + M_xyz = PF.Magnetics.dipazm_2_xyz(np.ones(nC) * survey.srcField.param[1], np.ones(nC) * survey.srcField.param[2]) + + else: + M_xyz = np.genfromtxt(magfile,delimiter=' \n',dtype=np.str,comments='!') + + + # Get index of the center + #============================================================================== + # midx = int(mesh.nCx/2) + # midy = int(mesh.nCy/2) + #============================================================================== + + # Create forward operator + #F = PF.Magnetics.Intrgl_Fwr_Op(mesh,B,M_xyz,rxLoc,actv,'tmi') + + #%% Run inversion + # First start with regular inversion for regional removal + prob = PF.Magnetics.MagneticIntegral(mesh, mapping = idenMap, actInd = actv) + prob.solverOpts['accuracyTol'] = 1e-4 + + survey.pair(prob) + + #%% + pred = prob.fields(mstart) + + wr = np.sum(prob.G**2.,axis=0)**0.5 / mesh.vol[actv] + wr = ( wr/np.max(wr) ) + #IWr = Utils.sdiag(1/wr) + #wrMap = PF.BaseMag.WeightMap(mesh, wr) + + #prob.mapping = wrMap + #prob._G = prob._G * IWr + + reg = Regularization.Simple(mesh, indActive = actv, mapping = idenMap) + reg.mref = 0. + reg.wght = wr + #reg.alpha_s = 1. + + # Create pre-conditioner + diagA = np.sum(prob.G**2.,axis=0) + beta_in*(reg.W.T*reg.W).diagonal() + PC = Utils.sdiag(diagA**-1.) + + + dmis = DataMisfit.l2_DataMisfit(survey) + dmis.Wd = 1./survey.std + opt = Optimization.ProjectedGNCG(maxIter=10,lower=0.,upper=1., maxIterCG= 20, tolCG = 1e-3) + opt.approxHinv = PC + + # opt = Optimization.InexactGaussNewton(maxIter=6) + invProb = InvProblem.BaseInvProblem(dmis, reg, opt, beta = beta_in) + beta = Directives.BetaSchedule(coolingFactor=2, coolingRate=1) + #betaest = Directives.BetaEstimate_ByEig() + target = Directives.TargetMisfit() + + inv = Inversion.BaseInversion(invProb, directiveList=[beta,target]) + + m0 = mstart + + # Run inversion + mrec = inv.run(m0) + + m_out = actvMap*mrec + + #%% Temporary plotting scipts + yslice = 14 + plt.figure() + ax = plt.subplot(221) + mesh.plotSlice(m_out, ax = ax, normal = 'Z', ind=-5, clim = (mrec.min(), mrec.max())) + plt.plot(np.array([mesh.vectorCCx[0],mesh.vectorCCx[-1]]), np.array([mesh.vectorCCy[yslice],mesh.vectorCCy[yslice]]),c='w',linestyle = '--') + plt.title('Z: ' + str(mesh.vectorCCz[-5]) + ' m') + plt.xlabel('x');plt.ylabel('z') + plt.gca().set_aspect('equal', adjustable='box') + + ax = plt.subplot(222) + mesh.plotSlice(m_out, ax = ax, normal = 'Z', ind=-8, clim = ( mrec.min(), mrec.max())) + plt.plot(np.array([mesh.vectorCCx[0],mesh.vectorCCx[-1]]), np.array([mesh.vectorCCy[yslice],mesh.vectorCCy[yslice]]),c='w',linestyle = '--') + plt.title('Z: ' + str(mesh.vectorCCz[-8]) + ' m') + plt.xlabel('x');plt.ylabel('z') + plt.gca().set_aspect('equal', adjustable='box') + + ax = plt.subplot(212) + mesh.plotSlice(m_out, ax = ax, normal = 'Y', ind=yslice, clim = ( mrec.min(), mrec.max())) + plt.title('Cross Section') + plt.xlabel('x');plt.ylabel('z') + plt.gca().set_aspect('equal', adjustable='box') + + #%% Remove core cells and forward model + m_out = np.reshape(m_out,(mesh.nCx,mesh.nCy,mesh.nCz), order = 'F') + m_out[npad:-npad,npad:-npad,npad:] = m_out[npad:-npad,npad:-npad,npad:]*0. + + m_out = mkvc(m_out) + m_pad = m_out[actv] + + Mesh.TensorMesh.writeModelUBC(mesh,home_dir+'\\SimPEG_Inv_l2l2.sus',actvMap*mrec) + Mesh.TensorMesh.writeModelUBC(mesh,home_dir+'\\SimPEG_Scooped.sus',actvMap*m_pad) + # Forward model the fields and substract from data + fwr = prob.fields(m_pad) + + d_res = survey.dobs - fwr + + PF.Magnetics.plot_obs_2D(rxLoc,fwr,'Forward Scoop Data', levels = [0.]) + + PF.Magnetics.plot_obs_2D(rxLoc,d_res,'RegRem Data', levels = [0.]) + + survey.dobs = d_res + #%% Reduce the space to only the core region + + # Create new mesh for local inversion + hxind = [(dx, ncx)] + hyind = [(dx, ncy)] + hzind = [(dx, ncz)] + + x0 = mesh.x0 + z0 = x0[2] + np.sum(mesh.hz) + + mesh = Mesh.TensorMesh([hxind, hyind, hzind], 'CCN') + + mesh.x0[2] = z0 - np.sum(mesh.hz) + + core = m_out==0 + grnd = core[actv] + + inds = np.asarray([inds for inds, elem in enumerate(grnd, 1) if elem], dtype = int) - 1 + + #%% Re-run with poly map + # Load in topofile or create flat surface + if topofile == 'null': + + # All active + actv = np.asarray(range(mesh.nC)) + + else: + + topo = np.genfromtxt(topofile,skip_header=1) + temp = np.vstack([topo[:,0].T- midx, topo[:,1].T- midy]) + + # Rotate + ROTxy = Rz.dot(temp) + ROT_topo = np.c_[ROTxy[0,:].T, ROTxy[1,:].T, topo[:,2]] + + # Find the active cells + actv = PF.Magnetics.getActiveTopo(mesh,ROT_topo,'N') + + nC = len(actv) + idenMap = Maps.IdentityMap(nP = nC) + # Create active map to go from reduce set to full + actvMap = Maps.InjectActiveCells(mesh, actv, ndv) + + # Load starting model file + mstart = np.ones(nC) * m0_val + + + + + #%% Invert with polymap for plane + # + # + # Create active map to go from reduce set to full + #actvMap = Maps.ActiveCells(mesh, actv, -100) + # + ## Creat reduced identity map + #idenMap = Maps.IdentityMap(nP = nC) + # + XYZ = mesh.gridCC + + order = [1,1] + + YZ = Utils.ndgrid(mesh.vectorCCy, mesh.vectorCCz) + + V = polynomial.polyvander2d(YZ[:,0], YZ[:,1], order) + + #f = polynomial.polyval2d(XYZ[:,1], XYZ[:,2], c.reshape((order[0]+1,order[1]+1))) - XYZ[:,0] + + polymap = Maps.PolyMap(mesh, order, normal='X', logSigma=False, actInd = actv) + polymap.slope = 1.0 + #polymap.actInd = actv + + #m0 = np.r_[1e-2, 0., 0.0, -0.5, 0.2, 0.] + m0 = np.r_[1e-4, 0, 1., 0., 0., 0.] + + + + #Mesh.TensorMesh.writeModelUBC(mesh,home_dir+dsep+'True_m.sus',polymap*m0) + #Mesh.TensorMesh.writeModelUBC(mesh,home_dir+dsep+'Starting_m.sus',actvMap*polymap*m0) + + m1D = Mesh.TensorMesh([(order[0]+1)*(order[1]+1)+2]) + + weight = ((V**2).sum(axis=0))**0.5 + weight = weight / weight.max() + prob_core = PF.Magnetics.MagneticIntegral(mesh, mapping = idenMap*polymap, actInd = actv) + prob_core.solverOpts['accuracyTol'] = 1e-4 + + survey.pair(prob_core) + + #prob_core._G = prob.G[:,inds] + + #%% + pred = prob_core.fields(m0) + + wr = np.sum(prob_core.G**2.,axis=0)**0.5 / mesh.vol[actv] + wr = ( wr/np.max(wr) ) + IWr = Utils.sdiag(1/wr) + wrMap = PF.BaseMag.WeightMap(mesh, wr) + + prob_core.mapping = wrMap * polymap + prob_core._G = prob_core.G * IWr + + reg = Regularization.Simple(m1D) + reg.alpha_x = 0. + reg.alpha_y = 0. + reg.alpha_z = 0. + reg.norms = [2., 2., 2., 2.] + #reg.mref = np.r_[0., 1., 421500., 1000., 10., 0.5] + reg.mref = np.zeros(6) + #============================================================================== + # reg.wght = np.asarray([ 1.00000000e+00 ,6.50176844e-01 ,4.20328370e-06 ,1.52004209e-03, + # 4.82475226e-05 ,1.37620903e-02])**2. + #============================================================================== + lower = np.r_[0.,0.,-1e+8,-1e+8,-1e+8,-1e+8] + upper = np.r_[1.,1.,1e+8,1e+8,1e+8,1e+8] + #reg.mref = mref + #reg.alpha_s = 1. + + + dmis = DataMisfit.l2_DataMisfit(survey) + dmis.Wd = 1./survey.std + opt = Optimization.ProjectedGNCG(maxIter=15,maxIterLS=50, maxIterCG = 10,tolCG = 1e-3, lower = lower,upper=upper) + #opt.approxHinv = sp.eye(6) + + beta_in = 1e+2 + + # opt = Optimization.InexactGaussNewton(maxIter=6) + invProb = InvProblem.BaseInvProblem(dmis, reg, opt, beta = beta_in) + beta = Directives.BetaSchedule(coolingFactor=2, coolingRate=1) + #betaest = Directives.BetaEstimate_ByEig() + target = Directives.TargetMisfit() + up_Wj = Directives.Update_Wj() + up_Wj.itr = 2 + + inv = Inversion.BaseInversion(invProb, directiveList=[beta,target,up_Wj]) + + #m0 = mstart + #Utils.diagEst(prob.Jtvec,2) + + # Run inversion + mrec = inv.run(m0) + + sus = polymap*mrec + m_out = actvMap * sus + + # Write result + Mesh.TensorMesh.writeModelUBC(mesh,'SimPEG_Param.sus',m_out) + Mesh.TensorMesh.writeUBC(mesh,'Working_mesh.msh') + + m_out = actvMap *polymap*m0 + Mesh.TensorMesh.writeModelUBC(mesh,'SimPEG_Param_m0.sus',m_out) + # Plot predicted + pred = prob_core.fields(mrec) + + PF.Magnetics.plot_obs_2D(rxLoc,pred,'Predicted Data', vmin = np.min(survey.dobs), vmax = np.max(survey.dobs)) + + PF.Magnetics.plot_obs_2D(rxLoc,survey.dobs-pred,'Residual Data') + + #PF.Magnetics.writeUBCobs(home_dir + dsep + 'Pred_Final.pre',B,M,rxLoc,pred,np.ones(len(d))) + + + print "Final misfit:" + str(np.sum( ((d-pred)/uncert)**2. ) ) + + #%% Write parametric surface + yz = Utils.ndgrid(np.r_[-ncy/2*dx,0,ncy/2*dx],np.r_[mesh.vectorCCz[-1],mesh.vectorCCz[0]]) + + xout = polynomial.polyval2d(yz[:,0],yz[:,1],np.reshape(mrec[2:],(2,2))) + + + xyz = np.c_[xout,yz] + + # Rotate back to global coordinates + # Create rotation matrix + Rz = np.array([[np.cos(-azm), -np.sin(-azm)], + [np.sin(-azm), np.cos(-azm)]]) + + + temp = Rz.dot( np.vstack([xyz[:,0].T, xyz[:,1].T]) ) + + if ii == 0: + # Rotate + ROTxyz = np.c_[temp[0,:].T + midx, temp[1,:].T + midy, xyz[:,2]] + else: + ROTxyz = np.vstack([ROTxyz,np.c_[temp[0,:].T + midx, temp[1,:].T + midy, xyz[:,2]]]) + +#Write out the surface +with file(home_dir + dsep + 'Surf.dat','w') as fid: + np.savetxt(fid, ROTxyz, fmt='%e',delimiter=' ',newline='\n') + +#%% Right GOCAD ts file +with file(home_dir + dsep + 'Surf.ts','w') as fid: + + fid.write('GOCAD TSurf 1\n') + fid.write('HEADER {name:Mag_Param}\n') + fid.write('TFACE\n') + for ii in range(ROTxyz.shape[0]): + fid.write('VRTX %i %6.2f %6.2f %6.2f\n' %(ii+1, ROTxyz[ii,0],ROTxyz[ii,1],ROTxyz[ii,2]) ) + + for ii in range(ROTxyz.shape[0]/3): + fid.write('TRGL %i %i %i\n' %(ii+1, ii+2, np.mod(ii+3,6)+1 )) + fid.write('TRGL %i %i %i\n' %(ii+2, np.mod(ii+3,6)+1, np.mod(ii+4,6)+1 )) + + fid.write('END\n') \ No newline at end of file diff --git a/simpegPF/Dev/MAG/PYMAG3D_inv.inp b/simpegPF/Dev/MAG/PYMAG3D_inv.inp index 89bd2486..1813776c 100644 --- a/simpegPF/Dev/MAG/PYMAG3D_inv.inp +++ b/simpegPF/Dev/MAG/PYMAG3D_inv.inp @@ -8,4 +8,4 @@ DEFAULT ! 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a/simpegPF/Gravity.py +++ b/simpegPF/Gravity.py @@ -460,8 +460,8 @@ def read_GRAVinv_inp(input_file): # Line 7 line = fid.readline() l_input = re.split('[!\s]',line) - if l_input=='DEFAULT': - wgtfile = [] + if l_input[0]=='DEFAULT': + wgtfile = None else: wgtfile = l_input[0].rstrip() diff --git a/simpegPF/Magnetics.py b/simpegPF/Magnetics.py index e727d3b3..48ab2149 100644 --- a/simpegPF/Magnetics.py +++ b/simpegPF/Magnetics.py @@ -1094,7 +1094,7 @@ def get_dist_wgt(mesh,rxLoc,actv,R,R0): temp = (R1 + R0)**-R + (R2 + R0)**-R + (R3 + R0)**-R + (R4 + R0)**-R + (R5 + R0)**-R + (R6 + R0)**-R + (R7 + R0)**-R + (R8 + R0)**-R - wr = wr + (V*temp/8.)**2 + wr = wr + (V*temp/8.)**2. count = progress(dd,count,ndata)