From 65d221ee368931a5f6f8a6a272be1b584cfb8454 Mon Sep 17 00:00:00 2001 From: D Fournier Date: Sat, 5 Dec 2015 18:57:56 -0800 Subject: [PATCH] On the fly forward modeling and pseudo section for 3D conductivity model --- simpegDCIP/Dev/DC3D_fwr_live_v1.py | 171 +- simpegDCIP/Dev/FWR_data.dat | 78 + simpegDCIP/Dev/Mesh_20m.msh | 5 + simpegDCIP/Dev/MtIsa_3D.con | 115500 ++++++++++++++++++++++++++ 4 files changed, 115698 insertions(+), 56 deletions(-) create mode 100644 simpegDCIP/Dev/FWR_data.dat create mode 100644 simpegDCIP/Dev/Mesh_20m.msh create mode 100644 simpegDCIP/Dev/MtIsa_3D.con diff --git a/simpegDCIP/Dev/DC3D_fwr_live_v1.py b/simpegDCIP/Dev/DC3D_fwr_live_v1.py index a577364c..6eb383ec 100644 --- a/simpegDCIP/Dev/DC3D_fwr_live_v1.py +++ b/simpegDCIP/Dev/DC3D_fwr_live_v1.py @@ -10,49 +10,19 @@ from SimPEG import np, Utils, Mesh, mkvc, SolverLU, sp import simpegDCIP as DC import pylab as plt import time +from scipy.interpolate import griddata +import numpy.matlib as npm + +#from scipy.linalg import solve_banded # Load UBC mesh 3D +#mesh = Utils.meshutils.readUBCTensorMesh('Mesh_20m.msh') mesh = Utils.meshutils.readUBCTensorMesh('Mesh_40m.msh') # Load model +#model = Utils.meshutils.readUBCTensorModel('MtIsa_3D.con',mesh) model = Utils.meshutils.readUBCTensorModel('Synthetic.con',mesh) -#%% -# Display top section -top = int(mesh.nCz)-1 -mesh.plotSlice(model, ind=top, normal='Z', grid=True, pcolorOpts={'alpha':0.8}) -ylim=(546000,546750) -xlim=(422900,423675) -# Takes two points from ginput and create survey -temp = plt.ginput(2) - -# Add z coordinate -nz = mesh.vectorNz -endp = np.c_[np.asarray(temp),np.ones(2).T*nz[-1]] - -# Create dipole survey receivers and plot -ab = 40 -a = 20 - -# Evenly distribute transmitters for now and put on surface -dplen = np.sqrt( np.sum((endp[1,:] - endp[0,:])**2) ) -dp_x = ( endp[1,0] - endp[0,0] ) / dplen -dp_y = ( endp[1,1] - endp[0,1] ) / dplen - -nstn = np.floor( dplen / ab ) -nrx = nstn-1 - -stn_x = endp[0,0] + np.cumsum( np.ones(nstn)*dp_x*ab ) -stn_y = endp[0,1] + np.cumsum( np.ones(nstn)*dp_y*ab ) - -plt.scatter(stn_x,stn_y,s=100, c='w') - -M = np.c_[stn_x-a*dp_x, stn_y-a*dp_y, np.ones(nstn).T*nz[-1]] -N = np.c_[stn_x+a*dp_x, stn_y+a*dp_y, np.ones(nstn).T*nz[-1]] - -plt.scatter(M[:,0],M[:,1],s=10,c='r') -plt.scatter(N[:,0],N[:,1],s=10,c='b') - #%% Create system #Set boundary conditions mesh.setCellGradBC('neumann') @@ -65,24 +35,68 @@ A = Div*Msig*Grad # Change one corner to deal with nullspace A[0,0] = 1. +A = sp.csc_matrix(A) + +start_time = time.time() # Factor A matrix Ainv = sp.linalg.splu(A) +print("LU DECOMP--- %s seconds ---" % (time.time() - start_time)) + +#%% +# Display top section +top = int(mesh.nCz)-1 +mesh.plotSlice(model, ind=top, normal='Z', grid=True, pcolorOpts={'alpha':0.8}) + + +# Takes two points from ginput and create survey +temp = plt.ginput(2) + +# Add z coordinate +nz = mesh.vectorNz +endp = np.c_[np.asarray(temp),np.ones(2).T*nz[-1]] + +# Create dipole survey receivers and plot +a = 40 +n = 8 + +# Evenly distribute transmitters for now and put on surface +dplen = np.sqrt( np.sum((endp[1,:] - endp[0,:])**2) ) +dp_x = ( endp[1,0] - endp[0,0] ) / dplen +dp_y = ( endp[1,1] - endp[0,1] ) / dplen + +nstn = np.floor( dplen / a ) +nrx = nstn-1 + +stn_x = endp[0,0] + np.cumsum( np.ones(nstn)*dp_x*a ) +stn_y = endp[0,1] + np.cumsum( np.ones(nstn)*dp_y*a ) + +plt.scatter(stn_x,stn_y,s=100, c='w') + +M = np.c_[stn_x-a*dp_x/2, stn_y-a*dp_y/2, np.ones(nstn).T*nz[-1]] +N = np.c_[stn_x+a*dp_x/2, stn_y+a*dp_y/2, np.ones(nstn).T*nz[-1]] + +plt.scatter(M[:,0],M[:,1],s=10,c='r') +plt.scatter(N[:,0],N[:,1],s=10,c='b') + + + #%% Forward model data -data = np.zeros( nstn*nrx ) +data = []#np.zeros( nstn*nrx ) problem = DC.ProblemDC_CC(mesh) fig = plt.figure() - - - - -for ii in range(0, int(nstn)): + +for ii in range(0, int(nstn)-2): start_time = time.time() - rxloc_M = np.r_[M[0:ii,:],M[ii+1:,:]] - rxloc_N = np.r_[N[0:ii,:],N[ii+1:,:]] + # Select dipole locations for receiver: n || end of line + idx = int( np.min([ii+n+1,nstn+1]) ) + rxloc_M = M[ii+2:ii+n+1,:]#np.r_[M[0:ii,:],M[ii+1:,:]] + rxloc_N = N[ii+2:ii+n+1,:]#np.r_[N[0:ii,:],N[ii+1:,:]] + + nrx = rxloc_M.shape[0] Rx = DC.RxDipole(rxloc_M,rxloc_N) @@ -98,25 +112,70 @@ for ii in range(0, int(nstn)): P1 = mesh.getInterpolationMat(rxloc_M, 'CC') P2 = mesh.getInterpolationMat(rxloc_N, 'CC') + #Direct Solve phi = Ainv.solve(RHS) - d = P1*phi - P2*phi - data[(nrx*(ii)):nrx+(nrx*(ii))] = d.T#survey.dpred(model) + # Iterative Solve + #Ainvb = sp.linalg.bicgstab(A,RHS, tol=1e-5) + #phi = mkvc(Ainvb[0]) + # Compute potential at each electrode + d = P1*phi - P2*phi + + # Convert 3D location to distance along survey line for 2D # Plot pseudo section along line - txmidx = endp[0,0] - np.mean(np.c_[M[ii,0],N[ii,0]]) - rxmidx = endp[0,0] - np.mean( np.c_[rxloc_M[:,0], rxloc_N[:,0]], axis=1 ) - txmidy = endp[0,1] - np.mean(np.c_[M[ii,1],N[ii,1]]) - rxmidy = endp[0,1] - np.mean( np.c_[rxloc_M[:,1], rxloc_N[:,1]], axis=1 ) - - rxmid = np.sqrt(rxmidx**2 + rxmidy**2) - txmid = np.sqrt(txmidx**2 + txmidy**2) - - midp = ( rxmid + txmid )/2 + rP1 = np.sqrt( np.sum( ( endp[0,:] - M[ii,:] )**2 , axis=0)) + rP2 = np.sqrt( np.sum( ( endp[0,:] - N[ii,:] )**2 , axis=0)) + rC1 = np.sqrt( np.sum( ( npm.repmat(endp[0,:],nrx, 1) - rxloc_M )**2 , axis=1)) + rC2 = np.sqrt( np.sum( ( npm.repmat(endp[0,:],nrx, 1) - rxloc_N )**2 , axis=1)) + + if ii == 0: + data = np.c_[np.ones(nrx)*rP1, np.ones(nrx)*rP2, rC1, rC2, mkvc(d), np.ones(nrx)*1e-2] + + else: + temp = np.c_[np.ones(nrx)*rP1, np.ones(nrx)*rP2, rC1, rC2, mkvc(d), np.ones(nrx)*1e-2] + data = np.r_[data,temp]#survey.dpred(model) + print("--- %s seconds ---" % (time.time() - start_time)) + + - plt.scatter(midp,-np.abs(txmid-midp),s=50,c=data[(nrx*(ii)):nrx+(nrx*(ii))]) + # Write data to UBC-2D format + #temp = np.c_[np.ones(nrx)*txmid-a/2, np.ones(nrx)*txmid+a/2, + # rxmid-a/2, rxmid+a/2, + # mkvc(d) , np.ones(nrx)*1e-2] + +fid = open(home_dir + '\FWR_data.dat','w') +fid.write('SIMPEG FORWARD\n') +np.savetxt(fid, data, fmt='%e',delimiter=' ',newline='\n') +fid.close() + +#%% Plot pseudo section + +# Get distances between each poles +rC1P1 = data[:,0] - data[:,2] +rC2P1 = data[:,0] - data[:,3] +rC1P2 = data[:,1] - data[:,2] +rC2P2 = data[:,1] - data[:,3] + +# Compute apparent resistivity +rho = data[:,4] * 2*np.pi / ( 1/rC1P1 - 1/rC2P1 - 1/rC1P2 + 1/rC2P2 ) + +Cmid = (data[:,0] + data[:,1])/2 +Pmid = (data[:,2] + data[:,3])/2 + +midp = ( Cmid + Pmid )/2 +midz = -np.abs(Cmid-Pmid) + +# Grid points +grid_x, grid_z = np.mgrid[np.min(midp):np.max(midp), np.min(midz):np.max(midz)] +grid_rho = griddata(np.c_[midp,midz], np.log10(abs(rho.T)), (grid_x, grid_z), method='linear') +plt.imshow(grid_rho.T, extent = (np.min(midp),np.max(midp),np.min(midz),np.max(midz)), origin='lower') +plt.colorbar() + +# Plot apparent resistivity +plt.scatter(midp,midz,s=50,c=np.log10(abs(rho.T))) \ No newline at end of file diff --git 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