diff --git a/simpegPF/Dev/MAG/Intgrl_MAG_Inv_Driver.py b/simpegPF/Dev/MAG/Intgrl_MAG_Inv_Driver.py index 7f6b64f0..a81d8b27 100644 --- a/simpegPF/Dev/MAG/Intgrl_MAG_Inv_Driver.py +++ b/simpegPF/Dev/MAG/Intgrl_MAG_Inv_Driver.py @@ -11,12 +11,9 @@ survey = driver.survey rxLoc = survey.srcField.rxList[0].locs d = survey.dobs wd = survey.std - + ndata = survey.srcField.rxList[0].locs.shape[0] -eps_p = 1e-4 -eps_q = 1e-4 - actv = driver.activeCells nC = len(actv) @@ -41,11 +38,14 @@ prob = PF.Magnetics.Problem3D_Integral(mesh, mapping=idenMap, actInd=actv) prob.solverOpts['accuracyTol'] = 1e-4 survey.pair(prob) +dmis = DataMisfit.l2_DataMisfit(survey) +dmis.Wd = 1./wd + # Write out the predicted pred = prob.fields(driver.m0) PF.Magnetics.writeUBCobs('Pred.dat', survey, pred) -wr = np.sum(prob.G**2.,axis=0)**0.5 / mesh.vol[actv] +wr = np.sum(prob.G**2.,axis=0)**0.5 wr = ( wr/np.max(wr) ) wr_out = actvMap * wr @@ -55,117 +55,82 @@ mesh.plotSlice(wr_out, ax=ax, normal='Y', ind=midx ,clim=(-1e-3, wr.max())) plt.title('Distance weighting') plt.xlabel('x');plt.ylabel('z') plt.gca().set_aspect('equal', adjustable='box') - -reg = Regularization.Simple(mesh, indActive=actv, mapping=idenMap) +reg = Regularization.Sparse(mesh, indActive=actv, mapping=idenMap) reg.mref = driver.mref -reg.wght = wr - -dmis = DataMisfit.l2_DataMisfit(survey) -dmis.Wd = 1/wd -opt = Optimization.ProjectedGNCG(maxIter=10,lower=0.,upper=1., maxIterCG= 20, tolCG=1e-3) +reg.cell_weights = wr + +#reg.mref = np.zeros(mesh.nC) +eps_p = 2e-4 +eps_q = 5e-5 +norms = [0., 2., 2., 2.] +opt = Optimization.ProjectedGNCG(maxIter=100 ,lower=-2.,upper=2., maxIterLS = 20, maxIterCG= 10, tolCG = 1e-3) invProb = InvProblem.BaseInvProblem(dmis, reg, opt) - -beta = Directives.BetaSchedule(coolingFactor=2, coolingRate=1) -beta_init = Directives.BetaEstimate_ByEig() -target = Directives.TargetMisfit() +#beta = Directives.BetaSchedule(coolingFactor=1, coolingRate=1) +#update_beta = Directives.Scale_Beta(tol = 0.05, coolingRate=5) +betaest = Directives.BetaEstimate_ByEig() +IRLS = Directives.Update_IRLS( norms=norms, eps_p=eps_p, eps_q=eps_q, f_min_change = 1e-2) update_Jacobi = Directives.Update_lin_PreCond(onlyOnStart=True) - -inv = Inversion.BaseInversion(invProb, directiveList=[beta,target,beta_init,update_Jacobi]) +inv = Inversion.BaseInversion(invProb, directiveList=[IRLS,betaest,update_Jacobi]) # Run inversion mrec = inv.run(driver.m0) -m_out = actvMap*mrec - -# Write result -Mesh.TensorMesh.writeModelUBC(mesh,'SimPEG_inv_l2l2.sus',m_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 a section of the model - -yslice = midx -m_out[m_out==-100] = np.nan - -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') - -#%% Run one more round for sparsity -phim = invProb.phi_m_last -phid = invProb.phi_d - -# Set parameters for sparsity -reg = Regularization.Sparse(mesh, indActive = actv, mapping = idenMap) -reg.recModel = mrec -reg.mref = driver.mref -reg.wght = wr -reg.eps_p = eps_p -reg.eps_q = eps_q -reg.norms = driver.lpnorms - - -dmis = DataMisfit.l2_DataMisfit(survey) -dmis.Wd = wd -opt = Optimization.ProjectedGNCG(maxIter=20 ,lower=0.,upper=1., maxIterCG= 10, tolCG = 1e-4) - -invProb = InvProblem.BaseInvProblem(dmis, reg, opt, beta = invProb.beta) - -# Create inversion directives -beta = Directives.BetaSchedule(coolingFactor=1, coolingRate=1) -update_beta = Directives.Scale_Beta(tol = 0.05) -target = Directives.TargetMisfit() -IRLS =Directives.Update_IRLS( phi_m_last = phim, phi_d_last = phid ) -update_Jacobi = Directives.Update_lin_PreCond(onlyOnStart=False) -save_log = Directives.SaveOutputEveryIteration() -save_log.fileName = 'LogName_blabla' - -inv = Inversion.BaseInversion(invProb, directiveList=[beta,IRLS,update_beta,update_Jacobi,save_log]) - -m0 = mrec - -# Run inversion -mrec = inv.run(m0) - -m_out = actvMap*mrec - -# Write final model out. -Mesh.TensorMesh.writeModelUBC(mesh,'SimPEG_inv_l0l2.sus',m_out) - pred = prob.fields(mrec) #%% Plot obs 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 yslice = midx + +m_out = actvMap*reg.l2model +m_out[m_out==-100] = np.nan + +# Write result +Mesh.TensorMesh.writeModelUBC(mesh,'SimPEG_inv_l2l2.sus',m_out) + +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') + +plt.figure() +ax = plt.subplot(121) +plt.hist(reg.l2model,100) +plt.yscale('log', nonposy='clip') +plt.title('Histogram of model values - Smooth') +ax = plt.subplot(122) +plt.hist(reg.regmesh.cellDiffxStencil*reg.l2model,100) +plt.yscale('log', nonposy='clip') +plt.title('Histogram of model gradient values - Smooth') + +#%% Plot out a section of the model + +yslice = midx + +m_out = actvMap*mrec m_out[m_out==-100] = np.nan plt.figure() @@ -189,5 +154,14 @@ 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 - Compact') +ax = plt.subplot(122) +plt.hist(reg.regmesh.cellDiffxStencil*mrec,100) +plt.yscale('log', nonposy='clip') +plt.title('Histogram of model gradient values - Smooth') plt.show() diff --git a/simpegPF/Dev/MAG/LogName_blabla.txt b/simpegPF/Dev/MAG/LogName_blabla.txt new file mode 100644 index 00000000..08c13615 --- /dev/null +++ b/simpegPF/Dev/MAG/LogName_blabla.txt @@ -0,0 +1,21 @@ + # beta phi_d phi_m f + 1 1.4081e+07 1.3177e+01 9.9671e-06 2.8314e+02 + 2 1.4081e+07 1.2333e+01 9.2396e-06 1.5353e+02 + 3 1.4081e+07 1.0202e+01 9.1982e-06 1.4244e+02 + 4 1.4081e+07 1.0662e+01 9.0940e-06 1.3972e+02 + 5 4.4406e+08 9.7668e+00 9.1243e-06 1.3872e+02 + 6 4.4406e+08 3.2344e+02 3.1445e-06 4.0480e+03 + 7 4.4406e+08 5.1839e+02 2.2545e-06 1.7198e+03 + 8 4.4406e+08 5.1121e+02 2.1668e-06 1.5195e+03 + 9 4.4406e+08 5.4030e+02 2.0596e-06 1.4734e+03 + 10 2.4887e+08 5.4956e+02 2.0182e-06 1.4549e+03 + 11 2.4887e+08 3.1821e+02 2.2401e-06 1.0621e+03 + 12 2.4887e+08 2.8746e+02 2.0863e-06 8.7570e+02 + 13 2.4887e+08 2.3223e+02 2.1657e-06 8.0668e+02 + 14 2.4887e+08 2.2477e+02 2.1052e-06 7.7121e+02 + 15 3.9177e+08 1.9565e+02 2.1619e-06 7.4869e+02 + 16 3.9177e+08 2.9301e+02 1.4206e-06 1.0204e+03 + 17 3.9177e+08 2.7202e+02 1.3931e-06 8.4957e+02 + 18 3.9177e+08 2.7366e+02 1.3448e-06 8.1779e+02 + 19 3.9177e+08 2.4196e+02 1.3947e-06 8.0051e+02 + 20 4.9390e+08 2.4431e+02 1.3653e-06 7.8835e+02 diff --git a/simpegPF/Dev/MAG/SimPEG_inv_l0l2.sus b/simpegPF/Dev/MAG/SimPEG_inv_l0l2.sus index 460fbdc1..a1b788cb 100644 --- a/simpegPF/Dev/MAG/SimPEG_inv_l0l2.sus +++ b/simpegPF/Dev/MAG/SimPEG_inv_l0l2.sus @@ -117,7 +117,7 @@ 0.000000000000000000e+00 0.000000000000000000e+00 0.000000000000000000e+00 -0.000000000000000000e+00 +1.873112409835470364e-08 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