Implement active cell from topo and topocheck function

This commit is contained in:
D Fournier
2015-12-29 16:11:16 -08:00
parent 1a7656c34d
commit 201fe6bf46
3 changed files with 172 additions and 54 deletions
+23 -13
View File
@@ -1,14 +1,17 @@
import os
home_dir = 'C:\Users\dominiquef.MIRAGEOSCIENCE\Documents\GIT\SimPEG\simpegpf\simpegPF\Dev'
home_dir = 'C:\Users\dominiquef.MIRAGEOSCIENCE\ownCloud\Research\Modelling\Synthetic\Block_Gaussian_topo'
inpfile = 'MAG3Cfwr.inp'
inpfile = 'PYMAG3C_fwr.inp'
dsep = '\\'
os.chdir(home_dir)
#%%
from SimPEG import np, Utils
from SimPEG import np, sp, Utils, mkvc, Maps
import simpegPF as PF
import pylab as plt
## New scripts to be added to basecode
#from fwr_MAG_data import fwr_MAG_data
@@ -23,27 +26,34 @@ mesh = Utils.meshutils.readUBCTensorMesh(mshfile)
# Load model file
model = Utils.meshutils.readUBCTensorModel(modfile,mesh)
# Load in topofile or create flat surface
if topofile == 'null':
actv = np.ones(mesh.nC)
else:
topo = np.genfromtxt(topofile,skip_header=1)
actv = PF.Magnetics.getActiveTopo(mesh,topo,'N')
Utils.writeUBCTensorModel('nullcell.dat',mesh,actv)
# Load in observation file
[B,M,dobs] = PF.BaseMag.readUBCmagObs(obsfile)
rxLoc = dobs[:,0:3]
#rxLoc[:,2] += 5 # Temporary change for test
ndata = rxLoc.shape[0]
#%% Run forward modeling
# Compute forward model using integral equation
d = PF.Magnetics.Intgrl_Fwr_Data(mesh,B,M,rxLoc,model,'tmi')
d = PF.Magnetics.Intgrl_Fwr_Data(mesh,B,M,rxLoc,model,actv,'tmi')
# Form data object with coordinates and write to file
data = np.c_[rxLoc , d , np.zeros((ndata,1))]
wd = np.zeros((ndata,1))
# Save forward data to file
with file('FWR_data.dat','w') as fid:
fid.write('%6.2f %6.2f %6.2f\n' %(B[0], B[1], B[2]) )
fid.write('%6.2f %6.2f %6.2f\n' %(M[0], M[1], 1) )
fid.write('%i\n' %(ndata) )
np.savetxt(fid, data, fmt='%e',delimiter=' ',newline='\n')
print "Observation file saved to " + home_dir + '\FWR_data.dat'
PF.Magnetics.writeUBCobs(home_dir + dsep + 'FWR_data.dat',B,M,rxLoc,d,wd)
+22 -11
View File
@@ -1,8 +1,9 @@
import os
home_dir = 'C:\Users\dominiquef.MIRAGEOSCIENCE\Documents\GIT\SimPEG\simpegpf\simpegPF\Dev'
#home_dir = 'C:\Users\dominiquef.MIRAGEOSCIENCE\Documents\GIT\SimPEG\simpegpf\simpegPF\Dev'
home_dir = 'C:\\Users\\dominiquef.MIRAGEOSCIENCE\\ownCloud\\Research\\Modelling\\Synthetic\\Block_Gaussian_topo'
inpfile = 'MAG3D_inv.inp'
inpfile = 'PYMAG3D_inv.inp'
dsep = '\\'
os.chdir(home_dir)
@@ -27,18 +28,23 @@ mesh = Utils.meshutils.readUBCTensorMesh(mshfile)
[B,M,dobs] = PF.BaseMag.readUBCmagObs(obsfile)
rxLoc = dobs[:,0:3]
d = dobs[:,3]
wd = dobs[:,4]
ndata = rxLoc.shape[0]
# Load in topofile or create flat surface
#==============================================================================
# if topofile == 'null':
#
# Nx,Ny = np.meshgrid(mesh.vectorNx,mesh.vectorNy)
# Nz = np.ones(Nx.shape) * mesh.vectorNz[-1]
#
# topo = np.c_[mkvc(Nx),mkvc(Ny),mkvc(Nz)]
#==============================================================================
if topofile == 'null':
Nx,Ny = np.meshgrid(mesh.vectorNx,mesh.vectorNy)
Nz = np.ones(Nx.shape) * mesh.vectorNz[-1]
topo = np.c_[mkvc(Nx),mkvc(Ny),mkvc(Nz)]
else:
topofile = np.genfromtxt(topofile,delimiter=' \n',dtype=np.str,skip_header=0)
# Work with flat topogrphy for now
nullcell = np.ones(mesh.nC)
@@ -63,4 +69,9 @@ F = PF.Magnetics.Intrgl_Fwr_Op(mesh,B,M_xyz,rxLoc,'tmi')
# Get distance weighting function
wr = PF.Magnetics.get_dist_wgt(mesh,rxLoc,3.,np.min(mesh.hx)/4)
Utils.writeUBCTensorModel(home_dir+dsep+'wr.dat',mesh,wr)
Utils.writeUBCTensorModel(home_dir+dsep+'wr.dat',mesh,wr)
# Write out the predicted
pred = F.dot(mstart)
PF.Magnetics.writeUBCobs(home_dir + dsep + 'Pred.dat',B,M,rxLoc,pred,wd)
+127 -30
View File
@@ -409,7 +409,7 @@ if __name__ == '__main__':
# plt.show()
def Intgrl_Fwr_Data(mesh,B,M,rxLoc,model,flag):
def Intgrl_Fwr_Data(mesh,B,M,rxLoc,model,actv,flag):
"""
Forward model magnetic data using integral equation
@@ -419,6 +419,7 @@ def Intgrl_Fwr_Data(mesh,B,M,rxLoc,model,flag):
M = Magnetization matrix [Minc, Mdecl]
rxLox = Observation location informat [obsx, obsy, obsz]
model = Model associated with mesh
actv = Active cells from topo (from getActiveTopo)
flag = Data type "tmi" | "xyz"
OUTPUT:
@@ -429,11 +430,21 @@ def Intgrl_Fwr_Data(mesh,B,M,rxLoc,model,flag):
@author: dominiquef
"""
inds = np.nonzero(actv)[0]
P = sp.csr_matrix((np.ones(inds.size),(inds, range(inds.size))), shape=(mesh.nC, len(inds)))
xn = mesh.vectorNx;
yn = mesh.vectorNy;
zn = mesh.vectorNz;
mcell = (len(xn)-1) * (len(yn)-1) * (len(zn)-1)
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)]
mcell = len(inds)
ndata = rxLoc.shape[0]
@@ -474,14 +485,14 @@ def Intgrl_Fwr_Data(mesh,B,M,rxLoc,model,flag):
for ii in range(ndata):
tx, ty, tz = get_T_mat(xn,yn,zn,rxLoc[ii,:])
tx, ty, tz = get_T_mat(Xn,Yn,Zn,rxLoc[ii,:])
Gxyz = np.vstack((tx,ty,tz))*Mxyz
if flag=='xyz':
d[ii::ndata] = mkvc(Gxyz.dot(model))
d[ii::ndata] = mkvc(Gxyz.dot(P.T*model))
elif flag=='tmi':
d[ii] = Ptmi.dot(Gxyz.dot(model))
d[ii] = Ptmi.dot(Gxyz.dot(P.T*model))
# Display progress
count = progress(ii,count,ndata)
@@ -602,10 +613,15 @@ def Intrgl_Fwr_Op(mesh,B,M,rxLoc,flag):
return F
def get_T_mat(xn,yn,zn,rxLoc):
def get_T_mat(Xn,Yn,Zn,rxLoc):
"""
Load in the active nodes of a tensor mesh and computes the magnetic 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]
@@ -621,37 +637,21 @@ def get_T_mat(xn,yn,zn,rxLoc):
@author: dominiquef
"""
ncx = len(xn)-1
ncy = len(yn)-1
ncz = len(zn)-1
mcell = ncx*ncy*ncz
mcell = Xn.shape[0]
# Pre-allocate space for 1D array
Tx = np.zeros((1,3*mcell))
Ty = np.zeros((1,3*mcell))
Tz = np.zeros((1,3*mcell))
yn2,xn2,zn2 = np.meshgrid(yn[1:], xn[1:], zn[1:])
yn1,xn1,zn1 = np.meshgrid(yn[0:ncy], xn[0:ncx], zn[0:ncz])
yn2 = mkvc(yn2)
yn1 = mkvc(yn1)
zn2 = mkvc(zn2)
zn1 = mkvc(zn1)
xn2 = mkvc(xn2)
xn1 = mkvc(xn1)
dz2 = rxLoc[2] - zn1;
dz1 = rxLoc[2] - zn2;
dz2 = rxLoc[2] - Zn[:,0];
dz1 = rxLoc[2] - Zn[:,1];
dy2 = yn2 - rxLoc[1];
dy1 = yn1 - rxLoc[1];
dy2 = Yn[:,1] - rxLoc[1];
dy1 = Yn[:,0] - rxLoc[1];
dx2 = xn2 - rxLoc[0];
dx1 = xn1 - rxLoc[0];
dx2 = Xn[:,1] - rxLoc[0];
dx1 = Xn[:,0] - rxLoc[0];
R1 = ( dy2**2 + dx2**2 );
R2 = ( dy2**2 + dx1**2 );
@@ -848,4 +848,101 @@ def get_dist_wgt(mesh,rxLoc,R,R0):
wr = mkvc(wr)
wr = np.sqrt(wr/(np.max(wr)))
return wr
return wr
def writeUBCobs(filename,B,M,rxLoc,d,wd):
"""
writeUBCobs(filename,B,M,rxLoc,d,wd)
Function writing an observation file in UBC-MAG3D format.
INPUT
filename : Name of out file including directory
B : Inducing field parameters [Inc, Decl, Intensity]
M : Magnetization orientation [Inc, Decl, dtype]
rxLoc : Observation locations [obsx, obsy, obsz]
d : Data vector
wd : Uncertainty vector
OUTPUT
Obsfile
Created on Dec, 27th 2015
@author: dominiquef
"""
data = np.c_[rxLoc , d , wd]
with file(filename,'w') as fid:
fid.write('%6.2f %6.2f %6.2f\n' %(B[0], B[1], B[2]) )
fid.write('%6.2f %6.2f %6.2f\n' %(M[0], M[1], 1) )
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
@author: dominiquef
"""
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)
#==============================================================================
# for ii in range(topo.shape[0]):
# dx = topo[ii,0] - cx + 1e-8
# dy = topo[ii,1] - cy + 1e-8
#
# [Wx,Wy] = np.meshgrid(dx**2.,dy**2.)
#
# W = np.sqrt(Wx + Wy)**-1.
#
# wght = wght + W
# Zn = Zn + topo[ii,2]*W
#
# Zn = Zn/wght
#==============================================================================
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)
return actv