From 3bb71f0fd49efb6896835dddca65ab0da34c06e4 Mon Sep 17 00:00:00 2001 From: D Fournier Date: Mon, 18 Apr 2016 12:53:11 -0700 Subject: [PATCH] Update grav code and example --- simpegPF/Dev/GRAV/{gzfor3d.dat => Grav.dat} | 1232 +- simpegPF/Dev/GRAV/Intgrl_GRAV_Inv_Driver.py | 121 +- simpegPF/Dev/GRAV/PYGRAV3D_inv.inp | 8 +- simpegPF/Dev/GRAV/Pred0.dat | 1232 +- simpegPF/Dev/GRAV/SimPEG_inv_l0l2.sus | 65674 +++++++++--------- simpegPF/Dev/GRAV/SimPEG_inv_l2l2.sus | 65674 +++++++++--------- simpegPF/Gravity.py | 4 +- 7 files changed, 66982 insertions(+), 66963 deletions(-) rename simpegPF/Dev/GRAV/{gzfor3d.dat => Grav.dat} (88%) diff --git a/simpegPF/Dev/GRAV/gzfor3d.dat b/simpegPF/Dev/GRAV/Grav.dat similarity index 88% rename from simpegPF/Dev/GRAV/gzfor3d.dat rename to simpegPF/Dev/GRAV/Grav.dat index 03393b34..97dc09df 100644 --- a/simpegPF/Dev/GRAV/gzfor3d.dat +++ b/simpegPF/Dev/GRAV/Grav.dat @@ -1,617 +1,617 @@ 616 - 105 155 240.8312 0.005799063 0.004 - 115 155 244.0469 0.007038728 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245.127 0.01044711 0.002 + 365 365 242.5387 0.009277147 0.002 + 375 365 239.8421 0.008077218 0.002 diff --git a/simpegPF/Dev/GRAV/Intgrl_GRAV_Inv_Driver.py b/simpegPF/Dev/GRAV/Intgrl_GRAV_Inv_Driver.py index dea661f5..1eb387a0 100644 --- a/simpegPF/Dev/GRAV/Intgrl_GRAV_Inv_Driver.py +++ b/simpegPF/Dev/GRAV/Intgrl_GRAV_Inv_Driver.py @@ -2,42 +2,41 @@ from SimPEG import * import simpegPF as PF 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\\Nut_Cracker\\Induced_MAG3C' -#home_dir = 'C:\\Users\\dominiquef.MIRAGEOSCIENCE\\ownCloud\\Research\\Modelling\\Synthetic\\Block_Gaussian_topo\\GRAV' -#home_dir ='C:\\Users\\dominiquef.MIRAGEOSCIENCE\\ownCloud\\Research\\CraigModel' home_dir = '.\\' - inpfile = 'PYGRAV3D_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 +plt.close('all') +#%% User input +# Initial beta +beta_in = 1e+2 + +# Treshold values for compact norm +eps_p = 1e-2 # Small model values +eps_q = 1e-2 # Small 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) -#mesh = Utils.meshutils.readUBCTensorMesh(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] -beta_in = 1e+1 - # Load in topofile or create flat surface if topofile == 'null': @@ -53,7 +52,7 @@ else: nC = len(actv) # Create active map to go from reduce set to full -actvMap = Maps.ActiveCells(mesh, actv, -100) +actvMap = Maps.InjectActiveCells(mesh, actv, -100) # Creat reduced identity map idenMap = Maps.IdentityMap(nP = nC) @@ -73,7 +72,7 @@ else: mref = Mesh.TensorMesh.readModelUBC(mesh,mref) mref = mref[actv] -# Get index of the center +# Get index of the center for plotting midx = int(mesh.nCx/2) midy = int(mesh.nCy/2) @@ -85,46 +84,47 @@ PF.Gravity.plot_obs_2D(survey,'Observed Data') prob = PF.Gravity.GravityIntegral(mesh, mapping = idenMap, actInd = actv) prob.solverOpts['accuracyTol'] = 1e-4 -#survey = Survey.LinearSurvey() survey.pair(prob) -#survey.makeSyntheticData(data, std=0.01) -#survey.dobs=d -#survey.mtrue = model -# Write out the predicted + +# Write out the predicted file and generate the forward operator pred = prob.fields(mstart) PF.Gravity.writeUBCobs(home_dir + dsep + 'Pred0.dat',survey,pred) -wr = np.sum(prob.G**2.,axis=0)**0.5 +# 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 -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') +#%% 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') +#%% Create inversion objects + +# First start with an l2 regularization reg = Regularization.Simple(mesh, indActive = actv, mapping = idenMap) reg.mref = mref 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 PC = Utils.sdiag(diagA**-1.) - +# Data misfit function dmis = DataMisfit.l2_DataMisfit(survey) -dmis.Wd = 1/wd -opt = Optimization.ProjectedGNCG(maxIter=10,lower=0.,upper=1., maxIterCG= 20, tolCG = 1e-3) +dmis.Wd = 1./wd +opt = Optimization.ProjectedGNCG(maxIter=20,lower=bounds[0],upper=bounds[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]) @@ -147,32 +147,40 @@ pred = prob.fields(mrec) print "Final misfit:" + str(np.sum( ((d-pred)/wd)**2. ) ) -#%% Plot out a section of the model +#%% Plot out sections of the smooth model yslice = midx+1 plt.figure() ax = plt.subplot(221) -mesh.plotSlice(m_out, ax = ax, normal = 'Z', ind=-5, clim = (-1e-3, mrec.max())) +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.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 = (-1e-3, mrec.max())) +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.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 = (-1e-3, mrec.max())) +mesh.plotSlice(m_out, ax = ax, normal = 'Y', ind=yslice, clim = (vmin,vmax)) plt.title('Cross Section') plt.xlabel('x');plt.ylabel('z') plt.gca().set_aspect('equal', adjustable='box') +plt.figure() +ax = plt.subplot(121) +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.yscale('log', nonposy='clip') +plt.title('Histogram of model gradient values - Smooth') #%% Run one more round for sparsity phim = invProb.phi_m_last phid = invProb.phi_d @@ -181,11 +189,12 @@ reg = Regularization.Sparse(mesh, indActive = actv, mapping = idenMap) reg.recModel = mrec reg.mref = mref reg.wght = wr -reg.eps = 1e-2 +reg.eps_p = eps_p +reg.eps_q = eps_q reg.p = lpnorms[0] reg.qx = lpnorms[1] -reg.qz = lpnorms[2] -reg.qy = lpnorms[3] +reg.qy = lpnorms[2] +reg.qz = lpnorms[3] diagA = np.sum(prob.G**2.,axis=0) + beta_in*(reg.W.T*reg.W).diagonal()*(wr) PC = Utils.sdiag(diagA**-1.) @@ -193,8 +202,8 @@ PC = Utils.sdiag(diagA**-1.) #reg.alpha_s = 1. dmis = DataMisfit.l2_DataMisfit(survey) -dmis.Wd = 1/wd -opt = Optimization.ProjectedGNCG(maxIter=10 ,lower=0.,upper=1., maxIterCG= 10, tolCG = 1e-4) +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) @@ -203,7 +212,7 @@ 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]) @@ -219,29 +228,39 @@ 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', vmin = np.min(d), vmax = np.max(d)) +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 yslice = midx plt.figure() ax = plt.subplot(221) -mesh.plotSlice(m_out, ax = ax, normal = 'Z', ind=-5, clim = (-1e-2, mrec.max())) +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.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 = (-1e-2, mrec.max())) +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.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 = (-1e-2, mrec.max())) +mesh.plotSlice(m_out, ax = ax, normal = 'Y', ind=yslice, clim = (vmin,vmax)) plt.title('Cross Section') plt.xlabel('x');plt.ylabel('z') -plt.gca().set_aspect('equal', adjustable='box') \ No newline at end of file +plt.gca().set_aspect('equal', adjustable='box') + +plt.figure() +ax = plt.subplot(121) +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.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/PYGRAV3D_inv.inp b/simpegPF/Dev/GRAV/PYGRAV3D_inv.inp index 436bdb0e..828f95d7 100644 --- a/simpegPF/Dev/GRAV/PYGRAV3D_inv.inp +++ b/simpegPF/Dev/GRAV/PYGRAV3D_inv.inp @@ -1,10 +1,10 @@ Mesh_10m.msh ! Mesh file -gzfor3d.dat ! Obsfile +Grav.dat ! Obsfile Gaussian.topo ! Topofile | null VALUE 1e-4 ! Starting model -VALUE 0 ! Reference model +VALUE 0.0 ! Reference model DEFAULT ! Cell based weight file 1 ! target chi factor | DEFAULT=1 1 1 1 1 ! alpha s, x ,y ,z -VALUE 0 1 ! Lower and Upper Bounds for p-component -VALUE 0 2 2 2 1 ! lp-norm for amplitude inversion FILE pqxqyqzr.dat ! Norms VALUE p, qx, qy, qz, r | FILE m-by-5 matrix \ No newline at end of file +VALUE -1 1 ! Lower and Upper Bounds for p-component +VALUE 0 1 1 1 1 ! lp-norm for amplitude inversion FILE pqxqyqzr.dat ! Norms VALUE p, qx, qy, qz, r | FILE m-by-5 matrix \ No newline at end of file diff --git a/simpegPF/Dev/GRAV/Pred0.dat b/simpegPF/Dev/GRAV/Pred0.dat index 1b2ce87f..edbd79d5 100644 --- a/simpegPF/Dev/GRAV/Pred0.dat +++ b/simpegPF/Dev/GRAV/Pred0.dat @@ -1,617 +1,617 @@ 616 -1.050000e+02 1.550000e+02 2.408312e+02 5.429956e-04 4.000000e-03 -1.150000e+02 1.550000e+02 2.440469e+02 5.498174e-04 4.000000e-03 -1.250000e+02 1.550000e+02 2.471986e+02 5.575820e-04 4.000000e-03 -1.350000e+02 1.550000e+02 2.502569e+02 5.657694e-04 4.000000e-03 -1.450000e+02 1.550000e+02 2.531923e+02 5.709679e-04 4.000000e-03 -1.550000e+02 1.550000e+02 2.559753e+02 5.756866e-04 4.000000e-03 -1.650000e+02 1.550000e+02 2.585770e+02 5.814230e-04 4.000000e-03 -1.750000e+02 1.550000e+02 2.609695e+02 5.864902e-04 4.000000e-03 -1.850000e+02 1.550000e+02 2.631267e+02 5.894365e-04 4.000000e-03 -1.950000e+02 1.550000e+02 2.650244e+02 5.913321e-04 4.000000e-03 -2.050000e+02 1.550000e+02 2.666411e+02 5.932002e-04 4.000000e-03 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f=None): dmudm = self.mapping.deriv(m) return self.G.dot(dmudm*v) - def Jtvec(self, m, v, u=None): + def Jtvec(self, m, v, f=None): dmudm = self.mapping.deriv(m) return dmudm.T * (self.G.T.dot(v))