diff --git a/simpegPF/Dev/Intgrl_MAG_Fwr_InterpData_Test.py b/simpegPF/Dev/Intgrl_MAG_Fwr_InterpData_Test.py deleted file mode 100644 index 0ef6f44d..00000000 --- a/simpegPF/Dev/Intgrl_MAG_Fwr_InterpData_Test.py +++ /dev/null @@ -1,268 +0,0 @@ -#%% -from SimPEG import * -import matplotlib.pyplot as plt -import simpegPF as PF -import scipy.interpolate as interpolation -import time -#from interpFFT import interpFFT -#from fwr_MAG_data import fwr_MAG_data - -import os - -home_dir = 'C:\\LC\\Private\\dominiquef\\Projects\\4414_Minsim\\Modeling\\MAG' - -os.chdir(home_dir) - -plt.close('all') - -topofile = 'Gaussian.topo' - -zoffset = 5 -#%% Create survey -# Load in topofile or create flat surface -if not topofile: - - actv = np.ones(mesh.nC) - -else: - topo = np.genfromtxt(topofile,skip_header=1) - - -B = np.array(([90.,0.,50000.])) - -M = np.array(([90.,0.,315.])) - -# Sphere radius -R = 25. - -sclx = 100. -dx = 5. -#%% Loop through decreasing meshes and measure the residual -# Create mesh using simpeg and write out in GIF format - -# # Or create juste a plane grid -xr = np.linspace(-102.5, 97.5, 41) -yr = np.linspace(-52.5, 47.5, 21) -X, Y = np.meshgrid(xr, yr) - -nc = int(sclx/dx) - -hxind = [(dx, 2*nc)] -hyind = [(dx, nc)] -hzind = [(dx, nc)] - -mesh = Mesh.TensorMesh([hxind, hyind, hzind], 'CCN') - -actv = PF.Magnetics.getActiveTopo(mesh,topo,'N') - -# Drape observations on topo + offset -if not topofile: - Z = np.ones((xr.size, yr.size)) * 2.5 - -else: - F = interpolation.interp2d(topo[:,0],topo[:,1],topo[:,2]) - #F = interpolation.NearestNDInterpolator(topo[:,0:2],topo[:,2]) - Z = F(xr,yr) + zoffset - -rxLoc = np.c_[Utils.mkvc(X.T), Utils.mkvc(Y.T), Utils.mkvc(Z.T)] - -ndata = rxLoc.shape[0] - -xn = mesh.vectorNx -yn = mesh.vectorNy -zn = mesh.vectorNz - -mcell = mesh.nC - -print 'Mesh size: ' + str(mcell) - -#%% Create model -chibkg = 0.0001 -chiblk = 0.01 -model = np.ones(mcell)*chibkg - -# Do a three sphere problem for more frequencies -sph_ind = PF.MagAnalytics.spheremodel(mesh, 0., 0., -sclx/3, R) -model[sph_ind] = 0.5*chiblk - -sph_ind = PF.MagAnalytics.spheremodel(mesh, -sclx/2., 0., -sclx/3., R/3.) -model[sph_ind] = 4.*chiblk - -sph_ind = PF.MagAnalytics.spheremodel(mesh, sclx/2., 0., -sclx/2.5, R/2.5) -model[sph_ind] = 2.5*chiblk - -# Zero out -model[actv==0] = -100 -Utils.writeUBCTensorMesh('Mesh.msh',mesh) -Utils.writeUBCTensorModel('Model.sus',mesh,model) -Utils.writeUBCTensorModel('nullcell.dat',mesh,actv) -#actv = np.ones(mesh.nC) -#%% Forward mode ldata -d = PF.Magnetics.Intgrl_Fwr_Data(mesh,B,M,rxLoc,model,actv,'tmi') -#fwr_tmi = d[0:ndata] -#fwr_y = d[ndata:2*ndata] -#fwr_z = d[2*ndata:] - - -#%% Compute data on a line -xx = np.linspace(xr.min(), xr.max(), 200) -yy = np.zeros(len(xx)) -zz = F(xx,0.) + zoffset - -rxLoc = np.c_[xx,yy,zz] - -d_line = PF.Magnetics.Intgrl_Fwr_Data(mesh,B,M,rxLoc,model,actv,'tmi') - -d_iter = 4 - -l1_r = np.zeros((d_iter,5)) -l2_r = np.zeros((d_iter,5)) -linf_r = np.zeros((d_iter,5)) -timer = np.zeros((d_iter,5)) - -d2d = np.reshape(d, (len(yr),len(xr))) -#%% Try different interpolation schemes -for ii in range(d_iter): - - indx = ii+1 - - - dsub = d2d[::indx,::indx] - - xsub = xr[::indx] - ysub = yr[::indx] - - # Nearest Neighbourg - start_time = time.time() - F = interpolation.NearestNDInterpolator(np.c_[mkvc(Y[::indx,::indx].T),mkvc(X[::indx,::indx].T)],mkvc(dsub.T)) - d_i2d_nnb = mkvc( F(0.,xx) ) - l1_r[ii,0] = np.sum( np.abs(d_line - d_i2d_nnb) )**0.5 - l2_r[ii,0] = np.sum( (d_line - d_i2d_nnb)**2. ) - linf_r[ii,0] = np.max( np.abs(d_line - d_i2d_nnb) ) - timer[ii,0] = (time.time() - start_time) - - # Linear interpolation - start_time = time.time() - F = interpolation.interp2d(ysub,xsub,mkvc(dsub.T)) - d_i2d_lin = mkvc( F(0.,xx) ) - l1_r[ii,1] = np.sum( np.abs(d_line - d_i2d_lin) )**0.5 - l2_r[ii,1] = np.sum( (d_line - d_i2d_lin)**2. ) - linf_r[ii,1] = np.max( np.abs(d_line - d_i2d_lin) ) - timer[ii,1] = (time.time() - start_time) - - - # Cubic interpolation - start_time = time.time() - F = interpolation.interp2d(ysub,xsub,mkvc(dsub.T),kind='cubic') - d_i2d_cub = mkvc( F(0.,xx) ) - l1_r[ii,2] = np.sum( np.abs(d_line - d_i2d_cub) )**0.5 - l2_r[ii,2] = np.sum( (d_line - d_i2d_cub)**2. ) - linf_r[ii,2] = np.max( np.abs(d_line - d_i2d_cub) ) - timer[ii,2] = (time.time() - start_time) - - - # Quintic interpolation - start_time = time.time() - F = interpolation.interp2d(ysub,xsub,mkvc(dsub.T),kind='quintic') - d_i2d_qui = mkvc( F(0.,xx) ) - l1_r[ii,3] = np.sum( np.abs(d_line - d_i2d_qui) )**0.5 - l2_r[ii,3] = np.sum( (d_line - d_i2d_qui)**2. ) - linf_r[ii,3] = np.max( np.abs(d_line - d_i2d_qui) ) - timer[ii,3] = (time.time() - start_time) - - # CloughTocher interpolation - start_time = time.time() - F = interpolation.CloughTocher2DInterpolator(np.c_[mkvc(Y[::indx,::indx].T),mkvc(X[::indx,::indx].T)],mkvc(dsub.T)) - d_i2d_CTI = mkvc( F(0.,xx) ) - l1_r[ii,4] = np.sum( np.abs(d_line - d_i2d_CTI) )**0.5 - l2_r[ii,4] = np.sum( (d_line - d_i2d_CTI)**2. ) - linf_r[ii,4] = np.max( np.abs(d_line - d_i2d_CTI) ) - timer[ii,4] = (time.time() - start_time) - - # Minimum curvature - - -#============================================================================== -# #%% FFT interpolation -# d2d_out = interpFFT(xsub,ysub,dsub) -# -# # Create new distance vector -# XX = np.linspace(np.min(xsub),np.max(xsub),d2d_out.shape[1]) -# YY = np.linspace(np.min(ysub),np.max(ysub),d2d_out.shape[0]) -# -# start_time = time.time() -# F = interpolation.interp2d(XX,YY,d2d_out) -# d_i2d_fft = mkvc( F(xx,0.) ) -# l1_r[ii,4] = np.sum( np.abs(d_line - d_i2d_nnb) )**0.5 -# l2_r[ii,4] = np.sum( (d_line - d_i2d_nnb)**2. ) -# linf_r[ii,4] = np.max( np.abs(d_line - d_i2d_nnb) ) -# timer[ii,4] = (time.time() - start_time) -# -# print("--- FFT completed in %s seconds ---" % (time.time() - start_time)) -# -# -# plt.figure() -# ax = plt.subplot() -# plt.imshow(d2d_out, interpolation="bicubic", extent=[xr.min(), xr.max(), yr.min(), yr.max() ], origin = 'lower') -# plt.colorbar(fraction=0.04) -#============================================================================== - - -#%% Write predicted to file - -#PF.Magnetics.writeUBCobs('Obsloc.loc',B,M,rxLoc,d,np.ones(len(d))) - -#%% Plot results -#============================================================================== -# print 'Residual between analytical sphere and integral forward' -# for ii in range(d_iter): -# nc = 3**(ii+1) -# -# print "||r||= " + str(lrl[ii]) + "\t dx= " + str(1./nc) -#============================================================================== - - -#%% Plot the forward solution from integral -plt.figure(figsize=[8,4]) -ax = plt.subplot() -plt.imshow(d2d, interpolation="bicubic", extent=[xr.min(), xr.max(), yr.min(), yr.max() ], origin = 'lower') -plt.colorbar(fraction=0.02) -plt.contour(X,Y, d2d,10) -plt.scatter(X,Y, s=5) - - -plt.figure(figsize=[8,4]) -plt.contour(X,Y, np.reshape(d,X.shape),10) -plt.scatter(X,Y, c=np.reshape(d,X.shape), s=10) -plt.scatter(xx,yy, c='k', s=20, marker='o') -ax.set_title('Numerical') - - -#%% - -plt.figure(figsize=[7,9]) -ax = plt.subplot() -plt.plot(xx,d_line,c='r', linewidth=3) -plt.plot(xx,d_i2d_lin) -plt.plot(xx,d_i2d_cub) -plt.plot(xx,d_i2d_qui) -plt.plot(xx,d_i2d_nnb) -plt.plot(xx,d_i2d_CTI) -plt.xlim(xx.min(),xx.max()) - -plt.legend(['True','linear','Cubic','Quintic','NearestN','CloughTorcher'],bbox_to_anchor=(0.75, 0.25)) -# Plot interpolation from true value on line -F = interpolation.interp1d(xx,d_line) -dtrue = F(xr[::indx]) -plt.plot(xr[::indx],dtrue,c='r',linewidth=0.,marker='o') -ax.set_title('Interpolated data profile') - -#%% Write result to file -with file('Interp_residual.dat','w') as fid: - fid.write('NearestN\tLinear\tCubic\tQuintic\tCloughTocher\n') - fid.write('\nL2-norm\n') - np.savetxt(fid, l2_r, fmt='%5.3e',delimiter='\t',newline='\n') - fid.write('\nL1-norm\n') - np.savetxt(fid, l1_r, fmt='%5.3e',delimiter='\t',newline='\n') - fid.write('\nLinf-norm\n') - np.savetxt(fid, linf_r, fmt='%5.3e',delimiter='\t',newline='\n') diff --git a/simpegPF/Dev/Intgrl_MAG_Fwr_Prism_Z_Test.py b/simpegPF/Dev/Intgrl_MAG_Fwr_Prism_Z_Test.py deleted file mode 100644 index dda818c1..00000000 --- a/simpegPF/Dev/Intgrl_MAG_Fwr_Prism_Z_Test.py +++ /dev/null @@ -1,282 +0,0 @@ -""" - Intgrl_MAG_Fwr_Prism_Z_test.py : Test the discretization error for a semi - infinite prism extending from the surface. - - The test runs a sequence of forward calculations of magnetic over a - grid of points at varying height. The goal is to find a relation between - observation height and mesh cell size. - - Since the integral equation is exact for a rectangular prism, the response - is first calculated for a semi-infinite prism aligned with the mesh with - inducing field rotated 45d. The prism and data location is then rotate by - -45d so prism is rotated with respect to base mesh. - -""" - -#%% -from SimPEG import * -import matplotlib.pyplot as plt -import simpegPF as PF -import scipy.interpolate as interpolation -import time -import os - -home_dir = 'C:\\LC\\Private\\dominiquef\\Projects\\4414_Minsim\\Modeling\\MAG' - -os.chdir(home_dir) - -#from fwr_MAG_data import fwr_MAG_data - -plt.close('all') - -topofile = [] - -zoffset = np.array([6., 5. ,3. , 2., 1.,0.5]) - -#%% Create survey - - -B = np.array(([90.,0.,50000.])) - -M = np.array(([90.,0.,315.])) - -# Block side lenght -R = 20. - -# # Or create juste a plane grid -xr = np.linspace(-19.5, 19.5, 40) -yr = np.linspace(-19., 19., 40) -X, Y = np.meshgrid(xr, yr) - - - -sclx = 90. -dx = np.asarray([5., 4. ,3. , 2., 1.]) - -d_iter = len(dx) -l1_r = np.zeros(d_iter) -l2_r = np.zeros(d_iter) -linf_r = np.zeros(d_iter) -timer = np.zeros(d_iter) -mcell = np.zeros(d_iter) -#%% First Loop through the observation heights and compute the true response -nc = int(sclx/30.) - -hxind = [(30., nc)] -hyind = [(30., nc)] -hzind = [(1., 1)] - -mesh = Mesh.TensorMesh([hxind, hyind, hzind], 'CCN') - -actv = np.ones(mesh.nC) - - -# Pre-allocate true data -obs_x = np.zeros((X.size,zoffset.size)) -obs_y = np.zeros((X.size,zoffset.size)) -obs_z = np.zeros((X.size,zoffset.size)) - -plt.figure(1) -for ii in range(zoffset.size): - - # Drape observations on topo + offset - if not topofile: - Z = np.ones((xr.size, yr.size)) * zoffset[ii] - - else: - F = interpolation.NearestNDInterpolator(topo[:,0:2],topo[:,2]) - Z = F(X,Y) + zoffset[ii] - - rxLoc = np.c_[Utils.mkvc(X.T), Utils.mkvc(Y.T), Utils.mkvc(Z.T)] - - ndata = rxLoc.shape[0] - - print 'Mesh size: ' + str(mesh.nC) - - #%% Create model - chibkg = 0. - chiblk = 0.01 - model = np.ones((mesh.nCx,mesh.nCy,mesh.nCz))*chibkg - - # Do a three sphere problem for more frequencies - model[1:2,1:2,:] = chiblk - model = mkvc(model) - - Utils.writeUBCTensorMesh('Mesh.msh',mesh) - Utils.writeUBCTensorModel('Model.sus',mesh,model) - #actv = np.ones(mesh.nC) - #%% Forward mode ldata - - temp = PF.Magnetics.Intgrl_Fwr_Data(mesh,B,M,rxLoc,model,actv,'xyz') - - obs_x[:,ii] = temp[0:ndata] - obs_y[:,ii] = temp[ndata:2*ndata] - obs_z[:,ii] = temp[2*ndata:] - - #%% Plot fields - - ax = plt.subplot(3,zoffset.size,ii+1) - plt.imshow(np.reshape(obs_x[:,ii],X.shape), extent=[xr.min(), xr.max(), yr.min(), yr.max()], origin = 'lower') - plt.colorbar(fraction=0.02) - plt.contour(X,Y, np.reshape(obs_x[:,ii],X.shape),10) - #plt.scatter(X,Y, c='k', s=10) - - ax = plt.subplot(3,zoffset.size,zoffset.size+ii+1) - plt.imshow(np.reshape(obs_y[:,ii],X.shape), extent=[xr.min(), xr.max(), yr.min(), yr.max()], origin = 'lower') - plt.colorbar(fraction=0.02) - plt.contour(X,Y, np.reshape(obs_y[:,ii],X.shape),10) - #plt.scatter(X,Y, c='k', s=10) - - ax = plt.subplot(3,zoffset.size,2*zoffset.size + ii+1) - plt.imshow(np.reshape(obs_z[:,ii],X.shape), extent=[xr.min(), xr.max(), yr.min(), yr.max()], origin = 'lower') - plt.colorbar(fraction=0.02) - plt.contour(X,Y, np.reshape(obs_z[:,ii],X.shape),10) - #plt.scatter(X,Y, c='k', s=10) - -#%% Rotate the data and discretize the rotated block on various cell size - -Rz = np.array([[np.cos(np.deg2rad(45)), -np.sin(np.deg2rad(45))], - [np.sin(np.deg2rad(45)), np.cos(np.deg2rad(45))]]) - -temp = np.vstack([rxLoc[:,0].T,rxLoc[:,1].T]) - -ROTxy = np.dot(Rz,temp) - - - - -#%% - -blocksurf = ['Block_0.ts',True,True] - -B = np.array(([90.,0.,50000.])) - -M = np.array(([90.,0.,315.])) - -l2 = np.zeros((dx.size,zoffset.size)) -linf = np.zeros((dx.size,zoffset.size)) - -plt.figure() -for ii in range(dx.size): - - nc = int(sclx/dx[ii]) - - hxind = [(dx[ii], nc)] - hyind = [(dx[ii], nc)] - hzind = [(1., 1)] - - mesh = Mesh.TensorMesh([hxind, hyind, hzind], 'CCN') - - actv = np.ones(mesh.nC) - - model = np.zeros(mesh.nC) - - indx = PF.BaseMag.gocad2vtk(blocksurf[0],mesh, bcflag = blocksurf[1], inflag = blocksurf[2]) - - # Compensate for the volume difference - scale = 1.#(30.**2.) / (len(indx)*dx[ii]**2.) - model[indx] = chiblk * scale - - Utils.writeUBCTensorMesh('Mesh_' + str(int(dx[ii])) + 'm.msh',mesh) - Utils.writeUBCTensorModel('Model_' + str(int(dx[ii])) + 'm.sus',mesh,model) - - - for jj in range(zoffset.size): - - # Drape observations on topo + offset - if not topofile: - Z = np.ones((xr.size, yr.size)) * zoffset[jj] - - else: - F = interpolation.NearestNDInterpolator(topo[:,0:2],topo[:,2]) - Z = F(X,Y) + zoffset[jj] - - - rxLoc_ROT = np.c_[ROTxy.T,mkvc(Z)] - - temp = PF.Magnetics.Intgrl_Fwr_Data(mesh,B,M,rxLoc_ROT,model,actv,'xyz') - - pre_x = temp[0:ndata] - pre_y = temp[ndata:2*ndata] - pre_z = temp[2*ndata:] - - res_z = (obs_z[:,jj] - pre_z) / np.max(np.abs(pre_z)) - l2[ii,jj] = np.sum( (res_z) ** 2. )**0.5 - linf[ii,jj] = np.max( np.abs(res_z) ) - - ax = plt.subplot(dx.size,zoffset.size,(ii*(zoffset.size))+jj+1) - plt.imshow(np.reshape(res_z,X.shape), extent=[xr.min(), xr.max(), yr.min(), yr.max()], origin = 'lower') - plt.colorbar(fraction=0.02) - plt.contour(X,Y, np.reshape(res_z,X.shape),10) - plt.title('Z:' + str(zoffset[jj]) + ' dx:' + str(dx[ii])) - ax.get_xaxis().set_ticks([]) - ax.get_yaxis().set_ticks([]) - #plt.scatter(rxLoc[:,0],rxLoc[:,1], c='k', s=10) - - - - - -#%% -plt.figure() -plt.subplot(2,1,1) -for ii in range(l2.shape[0]): - plt.plot(zoffset,l2[ii,:]) -plt.xlabel('Z Heigth') -plt.ylabel('L2-residual') -plt.legend(dx.astype('str')) - -plt.subplot(2,1,2) -for ii in range(l2.shape[1]): - plt.plot(dx,l2[:,ii]) - -plt.legend(zoffset.astype('str')) -plt.xlabel('Cell Size') -plt.ylabel('L2-residual') - - -plt.figure() -plt.subplot(2,1,1) -for ii in range(linf.shape[0]): - plt.plot(zoffset,linf[ii,:]) -plt.xlabel('Z Heigth') -plt.ylabel('L_inf-residual') -plt.legend(dx.astype('str')) - -plt.subplot(2,1,2) -for ii in range(linf.shape[1]): - plt.plot(dx,linf[:,ii]) - -plt.legend(zoffset.astype('str')) -plt.xlabel('Cell Size') -plt.ylabel('Linf-residual') -#%% Plot results -#============================================================================== -# print 'Residual between analytical sphere and integral forward' -# print "dx \t nc \t l1 \t l2 \t linf \t Runtime" -# for ii in range(d_iter): -# -# print str(dx[ii]) + "\t" + str(mcell[ii]) + "\t" + str(l1_r[ii]) + "\t" + str(l2_r[ii]) + "\t" + str(linf_r[ii]) + "\t" + str(timer[ii]) -# -#============================================================================== - - -#%% Plot the forward solution from integral -#============================================================================== -# plt.figure(2) -# 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('Numerical') -# -# #%% Plot residual data -# plt.figure(3) -# ax = plt.subplot() -# plt.imshow(np.reshape(r_tmi,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(r_tmi,X.shape),10) -# plt.scatter(X,Y, c=np.reshape(r_tmi,X.shape), s=20) -# ax.set_title('Sphere Ana Bx') -#============================================================================== diff --git a/simpegPF/Dev/Intgrl_MAG_Fwr_VTK_3DModel.py b/simpegPF/Dev/Intgrl_MAG_Fwr_VTK_3DModel.py deleted file mode 100644 index 9f2bf870..00000000 --- a/simpegPF/Dev/Intgrl_MAG_Fwr_VTK_3DModel.py +++ /dev/null @@ -1,112 +0,0 @@ -import os - -home_dir = 'C:\\LC\\Private\\dominiquef\\Projects\\4414_Minsim\\Modeling\\MAG\\Lalor' - -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 - -#%% -[mshfile, obsfile, modfile, magfile, topofile] = PF.BaseMag.read_MAGfwr_inp(inpfile) - -# Load mesh file -mesh = Utils.meshutils.readUBCTensorMesh(mshfile) - -# Load in observation file -#[B,M,dobs] = PF.BaseMag.readUBCmagObs(obsfile) - -# Read in topo surface -topsurf = "Topography_Local.ts" -geosurf = [['_Top_Bollock_Rhyodacite_SUB.ts',False,True], -['_Top_Bollock_Rhyodacite_SUB_B.ts',False,True], -['_Top_Mafic_Intrusion.ts',True,True], -['_Top_Mafic_Volcaniclastic.ts',False,True], -['UnitA.ts',True,True], -['UnitB.ts',True,True], -['UnitC.ts',True,True], -['UnitD.ts',True,True], -['UnitE.ts',True,True], -['UnitF.ts',True,True], -] - -vals = np.asarray([0.005,0.005,0.01,0.0025]) - -# Background density -bkgr = 0.0001 - -# Offset data above topo -zoffset = 2 - - -#%% Script starts here -# # Create a grid of observations and offset the z from topo -#xr = np.linspace(mesh.vectorCCx[0], mesh.vectorCCx[-1], 99) -#yr = np.linspace(mesh.vectorCCy[0], mesh.vectorCCy[-1], 74) - -xr = mesh.vectorCCx[::3] -yr = mesh.vectorCCy[::3] -X, Y = np.meshgrid(xr, yr) - -topo = np.genfromtxt(topofile,skip_header=1) -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] - -B = np.array(([90.,0.,50000.])) - -M = np.array(([90.,0.,315.])) - -model= np.ones(mesh.nC) * bkgr -# Load GOCAD surf -#[vrtx, trgl] = PF.BaseMag.read_GOCAD_ts(tsfile) -# Find active cells from surface - -for ii in range(len(geosurf)): - tin = tm.time() - print "Computing indices with VTK: " + geosurf[ii][0] - indx = PF.BaseMag.gocad2vtk(geosurf[ii][0],mesh, bcflag = geosurf[ii][1], inflag = geosurf[ii][2]) - print "VTK operation completed in " + str(tm.time() - tin) - - model[indx] = vals[ii] - -indx = PF.BaseMag.gocad2vtk(topsurf,mesh, bcflag = False, inflag = True) -actv = np.zeros(mesh.nC) -actv[indx] = 1 - -model[actv==0] = -100 - -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() -ax = plt.subplot() -plt.imshow(np.reshape(d,X.shape), interpolation="bicubic", extent=[xr.min(), xr.max(), yr.min(), yr.max()], origin = 'lower') -plt.clim(0,25) -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') \ No newline at end of file diff --git a/simpegPF/Dev/Intgrl_MAG_Fwr_VTK_topo_test.py b/simpegPF/Dev/Intgrl_MAG_Fwr_VTK_topo_test.py deleted file mode 100644 index d86190d7..00000000 --- a/simpegPF/Dev/Intgrl_MAG_Fwr_VTK_topo_test.py +++ /dev/null @@ -1,179 +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, 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 = np.ones(2*nc)*dx -hyind = np.ones(nc)*dx -hzind = np.ones(nc)*dx - -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() -ax = plt.subplot() -plt.imshow(np.reshape(d,X.shape), interpolation="bicubic", extent=[xr.min(), xr.max(), yr.min(), yr.max()], origin = 'lower') -plt.clim(0,25) -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') - -#%% First test, just brake the intersecting cells - -ii = 1 -ddata = 9999. - -while ddata > 2.: - - ii += 1 - - indx = np.unravel_index(bc,(mesh.nCx,mesh.nCy,mesh.nCz), order = 'F') - - xbreak = np.unique(indx[0]) - ybreak = np.unique(indx[1]) - zbreak = np.unique(indx[2]) - - - # Compute the new distance - dl = np.sum(hxind[xbreak]) - dx = float(hxind[xbreak].min()/2) - nx = dl/dx - - hxind = np.r_[hxind[0:xbreak.min()],np.ones(nx)*dx,hxind[xbreak.max():]] - - dl = np.sum(hyind[ybreak]) - dy = float(hyind[ybreak].min()/2) - ny = dl/dy - - hyind = np.r_[hyind[0:ybreak.min()],np.ones(ny)*dy,hyind[ybreak.max():]] - - dl = np.sum(hzind[zbreak]) - dz = float(hzind[zbreak].min()/2) - nz = dl/dz - - hzind = np.r_[hzind[0:zbreak.min()],np.ones(nz)*dz,hzind[zbreak.max():]] - - 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' + str(ii) + '.dat',mesh,model) - - Utils.meshutils.writeUBCTensorMesh('Mesh_temp' + str(ii) + '.msh',mesh) - - start_time = tm.time() - - d_temp = PF.Magnetics.Intgrl_Fwr_Data(mesh,B,M,rxLoc,model,actv,'tmi') - - timer = (tm.time() - start_time) - - ddata = np.max(abs(d-d_temp)) - - d = d_temp - - #%% Plot data - plt.figure() - ax = plt.subplot() - plt.imshow(np.reshape(d,X.shape), interpolation="bicubic", extent=[xr.min(), xr.max(), yr.min(), yr.max()], origin = 'lower') - plt.clim(0,25) - 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') \ No newline at end of file diff --git a/simpegPF/Dev/Intgrl_MAG_Inv_Driver.py b/simpegPF/Dev/Intgrl_MAG_Inv_Driver.py index c4790a9c..de9f4827 100644 --- a/simpegPF/Dev/Intgrl_MAG_Inv_Driver.py +++ b/simpegPF/Dev/Intgrl_MAG_Inv_Driver.py @@ -182,10 +182,10 @@ plt.gca().set_aspect('equal', adjustable='box') #%% Run one more round for sparsity phim = invProb.phi_m_last -reg = Regularization.SparseRegularization(mesh, mapping=wrMap) +reg = Regularization.SparseRegularization(mesh, mapping=wrMap, eps=1e-4) reg.m = mrec reg.mref = mref -reg.eps = 1e-4 + diagA = np.sum(F**2.,axis=0) + beta_in*(reg.W.T*reg.W).diagonal()*(wr**2.0) @@ -195,7 +195,7 @@ PC = Utils.sdiag(diagA**-1.) dmis = DataMisfit.l2_DataMisfit(survey) dmis.Wd = wd -opt = Optimization.ProjectedGNCG(maxIter=50 ,lower=0.,upper=1.) +opt = Optimization.ProjectedGNCG(maxIter=8 ,maxIterLS=10, maxIterCG = 20,tolCG = 1e-4,lower=0.,upper=1.) opt.approxHinv = PC #opt.phim_last = reg.eval(mrec) @@ -204,7 +204,7 @@ 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(factor = 2, eps_min=1e-4, phi_m_last = phim ) +IRLS =Directives.update_IRLS( eps_min=1e-3, phi_m_last = phim ) inv = Inversion.BaseInversion(invProb, directiveList=[beta,IRLS]) diff --git a/simpegPF/Dev/SimPEG_inv_l0l2.sus b/simpegPF/Dev/SimPEG_inv_l0l2.sus index 89ff83b4..8d41b755 100644 --- a/simpegPF/Dev/SimPEG_inv_l0l2.sus +++ b/simpegPF/Dev/SimPEG_inv_l0l2.sus @@ -1,1231 +1,1519 @@ -5.907356618986830169e-06 -6.023043187841050181e-06 -5.870199115954753940e-06 -5.828484605378289287e-06 -5.787255322058584167e-06 -5.722291392989890504e-06 -5.627569962582005027e-06 -5.499405517430552590e-06 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scipy.signal as sn - - - # Add padding values by reflection (2**n) - lenx = np.round( np.log2( 2*len(x) ) ) - npadx = int(np.floor( ( 2**lenx - len(x) ) /2. )) - - #Create hemming taper - if np.mod(npadx*2+len(x),2) != 0: - oddx = 1 - - else: - oddx = 0 - - tap0 = sn.hamming(npadx*2) - tapl = sp.spdiags(tap0[0:npadx],0,npadx,npadx) - tapr = sp.spdiags(tap0[npadx:],0,npadx,npadx+oddx) - - # Mirror the 2d data over the half lenght and apply 0-taper - mpad = np.hstack([np.fliplr(m[:,0:npadx]) * tapl, m, np.fliplr(m[:,-npadx:]) * tapr]) - - # Repeat along the second dimension - leny = np.round( np.log2( 2*len(y) ) ) - npady = int(np.floor( ( 2**leny - len(y) ) /2. )) - - #Create hemming taper - if np.mod(npady*2+len(y),2) != 0: - oddy = 1 - - else: - oddy = 0 - - tap0 = sn.hamming(npady*2) - tapu = sp.spdiags(tap0[0:npady],0,npady,npady) - tapd = sp.spdiags(tap0[npady:],0,npady+oddy,npady) - - mpad = np.vstack([tapu*np.flipud(mpad[0:npady,:]), mpad, tapd*np.flipud(mpad[-npady:,:])]) - - # Compute FFT - FFTm = np.fft.fft2(mpad) - - # Do an FFT shift - FFTshift = np.fft.fftshift(FFTm) - - # Pad high frequencies with zeros to increase the sampling rate - py = int(FFTm.shape[0]/2) - px = int(FFTm.shape[1]/2) - - FFTshift = np.hstack([np.zeros((FFTshift.shape[0],px)),FFTshift,np.zeros((FFTshift.shape[0],px))]) - FFTshift = np.vstack([np.zeros((py,FFTshift.shape[1])),FFTshift,np.zeros((py,FFTshift.shape[1]))]) - - # Inverse shift - FFTm = np.fft.ifftshift(FFTshift) - - - # Compute inverse FFT - IFFTm = np.fft.ifft2(FFTm)*FFTm.size/mpad.size - - - m_out = np.real(IFFTm) - # Extract core - #m_out = np.real(IFFTm[npady*2:-(npady*2+oddy+1),npadx*2:-(npadx*2+oddx+1)]) - - - - m_out = m_out[npady*2:-(npady+oddy)*2,npadx*2:-(npadx+oddx)*2] - - if np.mod(m.shape[0],2) != 0: - m_out = m_out[:-1,:] - - if np.mod(m.shape[1],2) != 0: - m_out = m_out[:,:-1] - - return m_out diff --git a/simpegPF/Magnetics.py b/simpegPF/Magnetics.py index 5227be73..02eff85a 100644 --- a/simpegPF/Magnetics.py +++ b/simpegPF/Magnetics.py @@ -6,19 +6,22 @@ from MagAnalytics import spheremodel, CongruousMagBC class MagneticIntegral(Problem.BaseProblem): surveyPair = Survey.LinearSurvey - - def __init__(self, mesh, G, **kwargs): - Problem.BaseProblem.__init__(self, mesh, **kwargs) + + def __init__(self, mesh, G, mapping=None, **kwargs): + Problem.BaseProblem.__init__(self, mesh, mapping=mapping, **kwargs) self.G = G def fields(self, m): - return self.G.dot(m) - + + return self.G.dot(self.mapping*(m)) + def Jvec(self, m, v, u=None): - return self.G.dot(v) + dmudm = self.mapping.deriv(m) + return self.G.dot(dmudm*v) def Jtvec(self, m, v, u=None): - return self.G.T.dot(v) + dmudm = self.mapping.deriv(m) + return dmudm.T * (self.G.T.dot(v))