From 03dd9915b7d410a220aab6bb8166f48412bd8571 Mon Sep 17 00:00:00 2001 From: D Fournier Date: Wed, 16 Mar 2016 17:10:30 -0700 Subject: [PATCH] First commit for GRAV3D Add example for mag Add example for grav --- simpegPF/BaseGrav.py | 52 + simpegPF/Dev/GRAV/Block_sphere_model.den | 44180 ++++++++++++++++ simpegPF/Dev/{ => GRAV}/Gaussian.topo | 0 simpegPF/Dev/GRAV/Intgrl_GRAV_Inv_Driver.py | 247 + simpegPF/Dev/{ => GRAV}/Mesh_10m.msh | 0 simpegPF/Dev/GRAV/PYGRAV3D_inv.inp | 10 + simpegPF/Dev/GRAV/Pred0.dat | 617 + simpegPF/Dev/GRAV/SimPEG_inv_l0l2.sus | 44180 ++++++++++++++++ simpegPF/Dev/GRAV/SimPEG_inv_l2l2.sus | 44180 ++++++++++++++++ simpegPF/Dev/GRAV/gzfor3d.dat | 617 + simpegPF/Dev/MAG/Block_sphere_model.sus | 44180 ++++++++++++++++ simpegPF/Dev/MAG/Gaussian.topo | 21610 ++++++++ .../Dev/{ => MAG}/Intgrl_MAG_Inv_Driver.py | 18 +- simpegPF/Dev/MAG/Mesh_10m.msh | 5 + simpegPF/Dev/{ => MAG}/Obs_loc_TMI.obs | 0 simpegPF/Dev/{ => MAG}/PYMAG3D_inv.inp | 0 simpegPF/Dev/{ => MAG}/Pred.dat | 0 simpegPF/Dev/{ => MAG}/SimPEG_inv_l0l2.sus | 0 simpegPF/Dev/{ => MAG}/SimPEG_inv_l2l2.sus | 0 simpegPF/Gravity.py | 501 + simpegPF/Magnetics.py | 2 +- simpegPF/__init__.py | 2 + 22 files changed, 200383 insertions(+), 18 deletions(-) create mode 100644 simpegPF/BaseGrav.py create mode 100644 simpegPF/Dev/GRAV/Block_sphere_model.den rename simpegPF/Dev/{ => GRAV}/Gaussian.topo (100%) create mode 100644 simpegPF/Dev/GRAV/Intgrl_GRAV_Inv_Driver.py rename simpegPF/Dev/{ => GRAV}/Mesh_10m.msh (100%) create mode 100644 simpegPF/Dev/GRAV/PYGRAV3D_inv.inp create mode 100644 simpegPF/Dev/GRAV/Pred0.dat create mode 100644 simpegPF/Dev/GRAV/SimPEG_inv_l0l2.sus create mode 100644 simpegPF/Dev/GRAV/SimPEG_inv_l2l2.sus create mode 100644 simpegPF/Dev/GRAV/gzfor3d.dat create mode 100644 simpegPF/Dev/MAG/Block_sphere_model.sus create mode 100644 simpegPF/Dev/MAG/Gaussian.topo rename simpegPF/Dev/{ => MAG}/Intgrl_MAG_Inv_Driver.py (93%) create mode 100644 simpegPF/Dev/MAG/Mesh_10m.msh rename simpegPF/Dev/{ => MAG}/Obs_loc_TMI.obs (100%) rename simpegPF/Dev/{ => MAG}/PYMAG3D_inv.inp (100%) rename simpegPF/Dev/{ => MAG}/Pred.dat (100%) rename simpegPF/Dev/{ => MAG}/SimPEG_inv_l0l2.sus (100%) rename simpegPF/Dev/{ => MAG}/SimPEG_inv_l2l2.sus (100%) create mode 100644 simpegPF/Gravity.py diff --git a/simpegPF/BaseGrav.py b/simpegPF/BaseGrav.py new file mode 100644 index 00000000..43a9fd90 --- /dev/null +++ b/simpegPF/BaseGrav.py @@ -0,0 +1,52 @@ +from SimPEG import Maps, Survey, Utils, np, sp +from scipy.constants import mu_0 +import re + +class LinearSurvey(Survey.BaseSurvey): + """Base Magnetics Survey""" + + rxLoc = None #: receiver locations + rxType = None #: receiver type + + def __init__(self, srcField, **kwargs): + self.srcField = srcField + Survey.BaseSurvey.__init__(self, **kwargs) + + def eval(self, u): + return u + + @property + def nD(self): + return self.prob.G.shape[0] + + @property + def nRx(self): + return self.srcField.rxList[0].locs.shape[0] + # def setBackgroundField(self, SrcField): + + # if getattr(self, 'B0', None) is None: + # self._B0 = SrcField.param[0] * dipazm_2_xyz(SrcField.param[1],SrcField.param[2]) + + # return self._B0 + +class SrcField(Survey.BaseSrc): + """ Define the inducing field """ + + param = None #: Inducing field param (Amp, Incl, Decl) + + def __init__(self, rxList, **kwargs): + super(SrcField, self).__init__(rxList, **kwargs) + +class RxObs(Survey.BaseRx): + """A station location must have be located in 3-D""" + def __init__(self, locsXYZ, **kwargs): + locs = locsXYZ + assert locsXYZ.shape[1] == 3, 'locs must in 3-D (x,y,z).' + super(RxObs, self).__init__(locs, 'tmi', storeProjections=False, **kwargs) + + @property + def nD(self): + """Number of data in the receiver.""" + return self.locs[0].shape[0] + + diff --git a/simpegPF/Dev/GRAV/Block_sphere_model.den b/simpegPF/Dev/GRAV/Block_sphere_model.den new file mode 100644 index 00000000..aedb0386 --- /dev/null +++ b/simpegPF/Dev/GRAV/Block_sphere_model.den 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+#%% +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 + +#%% +# 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) + +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': + + # 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.ActiveCells(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 +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 = Survey.LinearSurvey() +survey.pair(prob) +#survey.makeSyntheticData(data, std=0.01) +#survey.dobs=d +#survey.mtrue = model +# Write out the predicted +pred = prob.fields(mstart) + +PF.Gravity.writeUBCobs(home_dir + dsep + 'Pred0.dat',survey,pred) + +wr = np.sum(prob.G**2.,axis=0)**0.5 +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') + +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.) + + +dmis = DataMisfit.l2_DataMisfit(survey) +dmis.Wd = 1/wd +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 + +# Write result +Mesh.TensorMesh.writeModelUBC(mesh,'SimPEG_inv_l2l2.sus',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 a section of the 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())) +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())) +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())) +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 + +reg = Regularization.Sparse(mesh, indActive = actv, mapping = idenMap) +reg.recModel = mrec +reg.mref = mref +reg.wght = wr +reg.eps = 1e-2 +reg.p = lpnorms[0] +reg.qx = lpnorms[1] +reg.qz = lpnorms[2] +reg.qy = lpnorms[3] + +diagA = np.sum(prob.G**2.,axis=0) + beta_in*(reg.W.T*reg.W).diagonal()*(wr) +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) +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.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') +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())) +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())) +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())) +plt.title('Cross Section') +plt.xlabel('x');plt.ylabel('z') +plt.gca().set_aspect('equal', adjustable='box') \ No newline at end of file diff --git a/simpegPF/Dev/Mesh_10m.msh b/simpegPF/Dev/GRAV/Mesh_10m.msh similarity index 100% rename from simpegPF/Dev/Mesh_10m.msh rename to simpegPF/Dev/GRAV/Mesh_10m.msh diff --git a/simpegPF/Dev/GRAV/PYGRAV3D_inv.inp b/simpegPF/Dev/GRAV/PYGRAV3D_inv.inp new file mode 100644 index 00000000..436bdb0e --- /dev/null +++ b/simpegPF/Dev/GRAV/PYGRAV3D_inv.inp @@ -0,0 +1,10 @@ +Mesh_10m.msh ! Mesh file +gzfor3d.dat ! Obsfile +Gaussian.topo ! Topofile | null +VALUE 1e-4 ! Starting model +VALUE 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 diff --git a/simpegPF/Dev/GRAV/Pred0.dat b/simpegPF/Dev/GRAV/Pred0.dat new file mode 100644 index 00000000..1b2ce87f --- /dev/null +++ b/simpegPF/Dev/GRAV/Pred0.dat @@ -0,0 +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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-100 175.918029785 +-100 40 179.157714844 +-85 95 182.45098877 +-85 345 184.100646973 +-90 350 183.317932129 +-90 610 175.687225342 +630 610 175.334533691 +630 590 175.446044922 +630 570 175.585296631 +630 550 175.755859375 +615 505 176.59185791 +630 450 177.136230469 +630 445 177.225921631 +625 445 177.408630371 +630 440 177.318603516 diff --git a/simpegPF/Dev/Intgrl_MAG_Inv_Driver.py b/simpegPF/Dev/MAG/Intgrl_MAG_Inv_Driver.py similarity index 93% rename from simpegPF/Dev/Intgrl_MAG_Inv_Driver.py rename to simpegPF/Dev/MAG/Intgrl_MAG_Inv_Driver.py index 16ce589b..1cb9a83c 100644 --- a/simpegPF/Dev/Intgrl_MAG_Inv_Driver.py +++ b/simpegPF/Dev/MAG/Intgrl_MAG_Inv_Driver.py @@ -84,26 +84,10 @@ else: 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') - # Get distance weighting function #============================================================================== # wr = PF.Magnetics.get_dist_wgt(mesh,rxLoc,actv,3.,np.min(mesh.hx)/4) # #wrMap = PF.BaseMag.WeightMap(nC, wr) -# -# -# wr_out = actvMap * wr -# Mesh.TensorMesh.writeModelUBC(mesh,home_dir+dsep+'wr.dat',wr_out) -# #Utils.meshutils.writeUBCTensorModel(home_dir+dsep+'wr.dat',mesh,wr_out) -# -# #%% -# plt.figure() -# ax = plt.subplot() -# 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') #============================================================================== #%% Plot obs data @@ -144,7 +128,7 @@ PC = Utils.sdiag(diagA**-1.) dmis = DataMisfit.l2_DataMisfit(survey) -dmis.Wd = wd +dmis.Wd = 1/wd opt = Optimization.ProjectedGNCG(maxIter=10,lower=0.,upper=1., maxIterCG= 20, tolCG = 1e-3) opt.approxHinv = PC diff --git a/simpegPF/Dev/MAG/Mesh_10m.msh b/simpegPF/Dev/MAG/Mesh_10m.msh new file mode 100644 index 00000000..b49f8209 --- /dev/null +++ b/simpegPF/Dev/MAG/Mesh_10m.msh @@ -0,0 +1,5 @@ +47 47 20 +-60.00 -60.00 280.00 +50.00 30.00 20.00 41*10.00 20.00 30.00 50.00 +50.00 30.00 20.00 41*10.00 20.00 30.00 50.00 +17*10.00 20.00 30.00 50 diff --git a/simpegPF/Dev/Obs_loc_TMI.obs b/simpegPF/Dev/MAG/Obs_loc_TMI.obs similarity index 100% rename from simpegPF/Dev/Obs_loc_TMI.obs rename to simpegPF/Dev/MAG/Obs_loc_TMI.obs diff --git a/simpegPF/Dev/PYMAG3D_inv.inp b/simpegPF/Dev/MAG/PYMAG3D_inv.inp similarity index 100% rename from simpegPF/Dev/PYMAG3D_inv.inp rename to simpegPF/Dev/MAG/PYMAG3D_inv.inp diff --git a/simpegPF/Dev/Pred.dat b/simpegPF/Dev/MAG/Pred.dat similarity index 100% rename from simpegPF/Dev/Pred.dat rename to simpegPF/Dev/MAG/Pred.dat diff --git a/simpegPF/Dev/SimPEG_inv_l0l2.sus b/simpegPF/Dev/MAG/SimPEG_inv_l0l2.sus similarity index 100% rename from simpegPF/Dev/SimPEG_inv_l0l2.sus rename to simpegPF/Dev/MAG/SimPEG_inv_l0l2.sus diff --git a/simpegPF/Dev/SimPEG_inv_l2l2.sus b/simpegPF/Dev/MAG/SimPEG_inv_l2l2.sus similarity index 100% rename from simpegPF/Dev/SimPEG_inv_l2l2.sus rename to simpegPF/Dev/MAG/SimPEG_inv_l2l2.sus diff --git a/simpegPF/Gravity.py b/simpegPF/Gravity.py new file mode 100644 index 00000000..e7fd6fd8 --- /dev/null +++ b/simpegPF/Gravity.py @@ -0,0 +1,501 @@ +from SimPEG import * +import BaseGrav as GRAV +import re + +class GravityIntegral(Problem.BaseProblem): + + #surveyPair = Survey.LinearSurvey + + storeG = True #: Store the forward matrix by default, otherwise just compute d + actInd = None #: Active cell indices provided + + def __init__(self, mesh, mapping=None, **kwargs): + Problem.BaseProblem.__init__(self, mesh, mapping=mapping, **kwargs) + + + def fwr_op(self): + # Add forward function + # kappa = self.curModel.kappa TODO + sus = self.mapping*self.curModel + return self.G.dot(sus) + + + def fields(self, m): + self.curModel = m + total = np.zeros(self.survey.nRx) + induced = self.fwr_op() + # rem = self.rem + + if induced is not None: + total += induced + + return total + + + # return self.G.dot(self.mapping*(m)) + + def Jvec(self, m, v, u=None): + dmudm = self.mapping.deriv(m) + return self.G.dot(dmudm*v) + + def Jtvec(self, m, v, u=None): + dmudm = self.mapping.deriv(m) + return dmudm.T * (self.G.T.dot(v)) + + @property + def G(self): + if not self.ispaired: + raise Exception('Need to pair!') + + if getattr(self,'_G', None) is None: + self._G = self.Intrgl_Fwr_Op( 'z' ) + + + return self._G + + + def Intrgl_Fwr_Op(self, flag): + + """ + + Gravity forward operator in integral form + + flag = 'z' | 'xyz' + + Return + _G = Linear forward modeling operation + + Created on March, 15th 2016 + + @author: dominiquef + + """ + # Find non-zero cells + #inds = np.nonzero(actv)[0] + if getattr(self, 'actInd', None) is not None: + if self.actInd.dtype=='bool': + inds = np.asarray([inds for inds, elem in enumerate(self.actInd, 1) if elem], dtype = int) - 1 + else: + inds = self.actInd + + + + else: + + inds = np.asarray(range(self.mesh.nC)) + + nC = len(inds) + + # Create active cell projector + P = sp.csr_matrix((np.ones(nC),(inds, range(nC))), + shape=(self.mesh.nC, nC)) + + + + + # Create vectors of nodal location (lower and upper coners for each cell) + xn = self.mesh.vectorNx; + yn = self.mesh.vectorNy; + zn = self.mesh.vectorNz; + + yn2,xn2,zn2 = np.meshgrid(yn[1:], xn[1:], zn[1:]) + yn1,xn1,zn1 = np.meshgrid(yn[0:-1], xn[0:-1], zn[0:-1]) + + Yn = P.T*np.c_[mkvc(yn1), mkvc(yn2)] + Xn = P.T*np.c_[mkvc(xn1), mkvc(xn2)] + Zn = P.T*np.c_[mkvc(zn1), mkvc(zn2)] + + rxLoc = self.survey.srcField.rxList[0].locs + ndata = rxLoc.shape[0] + + # Pre-allocate space and create magnetization matrix if required + # Pre-allocate space + if flag == 'z': + G = np.zeros((ndata, nC)) + + + elif flag == 'xyz': + + G = np.zeros((int(3*ndata), nC)) + + + + else: + print """Flag must be either 'z' | 'xyz', please revised""" + return + + + # Loop through all observations and create forward operator (ndata-by-nC) + print "Begin calculation of forward operator: " + flag + + # Add counter to dsiplay progress. Good for large problems + count = -1; + for ii in range(ndata): + + if flag=='z': + tt = get_T_mat(Xn,Yn,Zn,rxLoc[ii,:]) + G[ii,:] = tt + + elif flag == 'xyz': + print "Sorry 3-component not implemented yet" + + + # Display progress + count = progress(ii,count,ndata) + + print "Done 100% ...forward operator completed!!\n" + + return G + + +def get_T_mat(Xn,Yn,Zn,rxLoc): + """ + Load in the active nodes of a tensor mesh and computes the gravity tensor + for a given observation location rxLoc[obsx, obsy, obsz] + + INPUT: + Xn, Yn, Zn: Node location matrix for the lower and upper most corners of + all cells in the mesh shape[nC,2] + M + OUTPUT: + Tx = [Txx Txy Txz] + Ty = [Tyx Tyy Tyz] + Tz = [Tzx Tzy Tzz] + + where each elements have dimension 1-by-nC. + Only the upper half 5 elements have to be computed since symetric. + Currently done as for-loops but will eventually be changed to vector + indexing, once the topography has been figured out. + + Created on Oct, 20th 2015 + + @author: dominiquef + + """ + NewtG=6.6738e-3 + eps = 1e-10 # add a small value to the locations to avoid /0 + + nC = Xn.shape[0] + + # Pre-allocate space for 1D array + T = np.zeros((1,nC)) + + dz = rxLoc[2] - Zn + eps + + dy = Yn - rxLoc[1] + eps + + dx = Xn - rxLoc[0] + eps + + + # Compute contribution from each corners + for aa in range(2): + for bb in range(2): + for cc in range(2): + + r = (dx[:,aa] ** 2 + dy[:,bb] ** 2 + dz[:,cc] ** 2) ** (0.50) + + T = T - NewtG * (-1) ** aa * (-1) ** bb * (-1) ** cc * (dx[:,aa] * np.log ( dy[:,bb] + r ) + dy[:,bb] * np.log ( dx[:,aa] + r ) - dz[:,cc] * np.arctan ( dx[:,aa] * dy[:,bb] / ( dz[:,cc] * r ))) + + return T + +def progress(iter,prog,final): + """ + progress(iter,prog,final) + + Function measuring the progress of a process and print to screen the %. + Useful to estimate the remaining runtime of a large problem. + + Created on Dec, 20th 2015 + + @author: dominiquef + """ + arg = np.floor(float(iter)/float(final)*10.); + + if arg > prog: + + strg = "Done " + str(arg*10) + " %" + print strg + prog = arg; + + return prog + + + +def writeUBCobs(filename,survey,d): + """ + writeUBCobs(filename,survey,d) + + Function writing an observation file in UBC-GRAV3D format. + + INPUT + filename : Name of out file including directory + survey + flag : dobs | dpred + + OUTPUT + Obsfile + + Created on Dec, 27th 2015 + + @author: dominiquef + """ + + rxLoc = survey.srcField.rxList[0].locs + + wd = survey.std + + data = np.c_[rxLoc , d , wd] + + with file(filename,'w') as fid: + fid.write('%i\n' %len(d) ) + np.savetxt(fid, data, fmt='%e',delimiter=' ',newline='\n') + + + print "Observation file saved to: " + filename + +def getActiveTopo(mesh,topo,flag): + """ + getActiveTopo(mesh,topo) + + Function creates an active cell model from topography + + INPUT + mesh : Mesh in SimPEG format + topo : Scatter points defining topography [x,y,z] + + OUTPUT + actv : Active cell model + + Created on Dec, 27th 2015 + + @founrdo + """ + import scipy.interpolate as interpolation + + if (flag=='N'): + Zn = np.zeros((mesh.nNx,mesh.nNy)) + # wght = np.zeros((mesh.nNx,mesh.nNy)) + cx = mesh.vectorNx + cy = mesh.vectorNy + + F = interpolation.NearestNDInterpolator(topo[:,0:2],topo[:,2]) + [Y,X] = np.meshgrid(cy,cx) + + Zn = F(X,Y) + + actv = np.zeros((mesh.nCx, mesh.nCy, mesh.nCz)) + + if (flag=='N'): + Nz = mesh.vectorNz[1:] + + + for jj in range(mesh.nCy): + + for ii in range(mesh.nCx): + + temp = [kk for kk in range(len(Nz)) if np.all(Zn[ii:(ii+2),jj:(jj+2)] > Nz[kk]) ] + actv[ii,jj,temp] = 1 + + + actv = mkvc(actv==1) + + inds = np.asarray([inds for inds, elem in enumerate(actv, 1) if elem], dtype = int) - 1 + + return inds + +def plot_obs_2D(survey,varstr): + """ Function plot_obs(rxLoc,d,wd) + Generate a 2d interpolated plot from scatter points of data + + INPUT + rxLoc : Observation locations [x,y,z] + d : Data vector + wd : Uncertainty vector + + OUTPUT + figure() + + Created on Dec, 27th 2015 + + @author: dominiquef + + """ + + from scipy.interpolate import griddata + import pylab as plt + + rxLoc = survey.srcField.rxList[0].locs + d = survey.dobs + wd = survey.std + + # Create grid of points + x = np.linspace(rxLoc[:,0].min(), rxLoc[:,0].max(), 100) + y = np.linspace(rxLoc[:,1].min(), rxLoc[:,1].max(), 100) + + X, Y = np.meshgrid(x,y) + + # Interpolate + d_grid = griddata(rxLoc[:,0:2],d,(X,Y), method ='linear') + + # Plot result + plt.figure() + plt.subplot() + plt.imshow(d_grid, extent=[x.min(), x.max(), y.min(), y.max()],origin = 'lower') + plt.colorbar(fraction=0.02) + plt.contour(X,Y, d_grid,10) + plt.scatter(rxLoc[:,0],rxLoc[:,1], c=d, s=20) + plt.title(varstr) + plt.gca().set_aspect('equal', adjustable='box') + +def readUBCgravObs(obs_file): + + """ + Read UBC grav file format + + INPUT: + :param fileName, path to the UBC obs grav file + + OUTPUT: + :param survey + + """ + + fid = open(obs_file,'r') + + # First line has the number of rows + line = fid.readline() + ndat = np.array(line.split(),dtype=int) + + # Pre-allocate space for obsx, obsy, obsz, data, uncert + line = fid.readline() + temp = np.array(line.split(),dtype=float) + + d = np.zeros(ndat, dtype=float) + wd = np.zeros(ndat, dtype=float) + locXYZ = np.zeros( (ndat,3), dtype=float) + + for ii in range(ndat): + + temp = np.array(line.split(),dtype=float) + locXYZ[ii,:] = temp[:3] + d[ii] = temp[3] + wd[ii] = temp[4] + line = fid.readline() + + rxLoc = GRAV.RxObs(locXYZ) + srcField = GRAV.SrcField([rxLoc]) + survey = GRAV.LinearSurvey(srcField) + survey.dobs = d + survey.std = wd + return survey + + +def read_GRAVinv_inp(input_file): + """Read input files for forward modeling MAG data with integral form + INPUT: + input_file: File name containing the forward parameter + + OUTPUT: + mshfile + obsfile + topofile + start model + ref model + weightfile + chi_target + as, ax ,ay, az + upper, lower bounds + lp, lqx, lqy, lqz + + # All files should be in the working directory, otherwise the path must + # be specified. + + Created on Dec 21th, 2015 + + @author: dominiquef + """ + + + fid = open(input_file,'r') + + # Line 1 + line = fid.readline() + l_input = line.split('!') + mshfile = l_input[0].rstrip() + + # Line 2 + line = fid.readline() + l_input = line.split('!') + obsfile = l_input[0].rstrip() + + # Line 3 + line = fid.readline() + l_input = re.split('[!\s]',line) + if l_input=='null': + topofile = [] + + else: + topofile = l_input[0].rstrip() + + + # Line 4 + line = fid.readline() + l_input = re.split('[!\s]',line) + if l_input[0]=='VALUE': + mstart = float(l_input[1]) + + else: + mstart = l_input[0].rstrip() + + # Line 5 + line = fid.readline() + l_input = re.split('[!\s]',line) + if l_input[0]=='VALUE': + mref = float(l_input[1]) + + else: + mref = l_input[0].rstrip() + + + # Line 7 + line = fid.readline() + l_input = re.split('[!\s]',line) + if l_input=='DEFAULT': + wgtfile = [] + + else: + wgtfile = l_input[0].rstrip() + + # Line 8 + line = fid.readline() + l_input = re.split('[!\s]',line) + chi = float(l_input[0]) + + # Line 9 + line = fid.readline() + l_input = re.split('[!\s]',line) + val = np.array(l_input[0:4]) + alphas = val.astype(np.float) + + # Line 10 + line = fid.readline() + l_input = re.split('[!\s]',line) + if l_input[0]=='VALUE': + val = np.array(l_input[1:3]) + bounds = val.astype(np.float) + + else: + bounds = l_input[0].rstrip() + + # Line 11 + line = fid.readline() + l_input = re.split('[!\s]',line) + if l_input[0]=='VALUE': + val = np.array(l_input[1:6]) + lpnorms = val.astype(np.float) + + else: + lpnorms = l_input[0].rstrip() + + return mshfile, obsfile, topofile, mstart, mref, wgtfile, chi, alphas, bounds, lpnorms + diff --git a/simpegPF/Magnetics.py b/simpegPF/Magnetics.py index 4caa384b..9e7a29dd 100644 --- a/simpegPF/Magnetics.py +++ b/simpegPF/Magnetics.py @@ -169,7 +169,7 @@ class MagneticIntegral(Problem.BaseProblem): else: - print """Flag must be either 'tmi' | 'xyz' | 'full', please revised""" + print """Flag must be either 'ind' | 'full', please revised""" return diff --git a/simpegPF/__init__.py b/simpegPF/__init__.py index a36f82fa..44702532 100644 --- a/simpegPF/__init__.py +++ b/simpegPF/__init__.py @@ -1,3 +1,5 @@ import MagAnalytics import BaseMag import Magnetics +import BaseGrav +import Gravity