mirror of
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Create function to generate linear forward operator (F)
Clean project
This commit is contained in:
D Fournier
+627
-627
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@@ -11,7 +11,7 @@ from SimPEG import np, Utils
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from simpegPF import BaseMag
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## New scripts to be added to basecode
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from fwr_MAG_obs import fwr_MAG_obs
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from fwr_MAG_data import fwr_MAG_data
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from read_MAGfwr_inp import read_MAGfwr_inp
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#%%
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@@ -31,7 +31,7 @@ rxLoc = dobs[:,0:3]
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ndata = rxLoc.shape[0]
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# Compute forward model using integral equation
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d = fwr_MAG_obs(mesh,B,M,rxLoc,model)
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d = fwr_MAG_data(mesh,B,M,rxLoc,model,'tmi')
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# Form data object with coordinates and write to file
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data = np.c_[rxLoc , d , np.zeros((ndata,1))]
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@@ -1,345 +0,0 @@
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|
||||
2.55000000e+01 -1.27500000e+01 2.50000000e+01 1.428223e+02 0.000000e+00
|
||||
2.55000000e+01 -1.06250000e+01 2.50000000e+01 1.492565e+02 0.000000e+00
|
||||
2.55000000e+01 -8.50000000e+00 2.50000000e+01 1.543126e+02 0.000000e+00
|
||||
2.55000000e+01 -6.37500000e+00 2.50000000e+01 1.576830e+02 0.000000e+00
|
||||
2.55000000e+01 -4.25000000e+00 2.50000000e+01 1.591276e+02 0.000000e+00
|
||||
2.55000000e+01 -2.12500000e+00 2.50000000e+01 1.585051e+02 0.000000e+00
|
||||
2.55000000e+01 0.00000000e+00 2.50000000e+01 1.557959e+02 0.000000e+00
|
||||
2.55000000e+01 2.12500000e+00 2.50000000e+01 1.511090e+02 0.000000e+00
|
||||
2.55000000e+01 4.25000000e+00 2.50000000e+01 1.446724e+02 0.000000e+00
|
||||
2.55000000e+01 6.37500000e+00 2.50000000e+01 1.368078e+02 0.000000e+00
|
||||
2.55000000e+01 8.50000000e+00 2.50000000e+01 1.278936e+02 0.000000e+00
|
||||
2.55000000e+01 1.06250000e+01 2.50000000e+01 1.183259e+02 0.000000e+00
|
||||
2.55000000e+01 1.27500000e+01 2.50000000e+01 1.084812e+02 0.000000e+00
|
||||
2.55000000e+01 1.48750000e+01 2.50000000e+01 9.868901e+01 0.000000e+00
|
||||
2.55000000e+01 1.70000000e+01 2.50000000e+01 8.921462e+01 0.000000e+00
|
||||
2.55000000e+01 1.91250000e+01 2.50000000e+01 8.025329e+01 0.000000e+00
|
||||
2.55000000e+01 2.12500000e+01 2.50000000e+01 7.193299e+01 0.000000e+00
|
||||
2.55000000e+01 2.33750000e+01 2.50000000e+01 6.432307e+01 0.000000e+00
|
||||
2.55000000e+01 2.55000000e+01 2.50000000e+01 5.744580e+01 0.000000e+00
|
||||
@@ -1,4 +1,4 @@
|
||||
def fwr_MAG_obs(mesh,B,M,rxLoc,model):
|
||||
def fwr_MAG_data(mesh,B,M,rxLoc,model,flag):
|
||||
"""
|
||||
Forward model magnetic data using integral equation
|
||||
|
||||
@@ -53,8 +53,12 @@ def fwr_MAG_obs(mesh,B,M,rxLoc,model):
|
||||
|
||||
Ptmi = mkvc(np.r_[np.cos(np.deg2rad(B[0]))*np.cos(np.deg2rad(D)),np.cos(np.deg2rad(B[0]))*np.sin(np.deg2rad(D)),np.sin(np.deg2rad(B[0]))],2).T;
|
||||
|
||||
d = np.zeros((3,ndata))
|
||||
|
||||
if flag=='tmi':
|
||||
d = np.zeros(ndata)
|
||||
|
||||
elif flag=='xyz':
|
||||
d = np.zeros((3,ndata))
|
||||
|
||||
# Loop through all observations and create forward operator (ndata-by-mcell)
|
||||
print "Begin forward modeling " +str(int(ndata)) + " data points..."
|
||||
|
||||
@@ -63,12 +67,17 @@ def fwr_MAG_obs(mesh,B,M,rxLoc,model):
|
||||
for ii in range(ndata):
|
||||
|
||||
tx, ty, tz = get_T_mat(xn,yn,zn,rxLoc[ii,:])
|
||||
|
||||
# G = Ptmi.dot(np.vstack((tx,ty,tz)))*Mxyz
|
||||
Gxyz = np.vstack((tx,ty,tz))*Mxyz
|
||||
|
||||
if flag=='xyz':
|
||||
d[:,ii] = Gxyz.dot(model)
|
||||
|
||||
elif flag=='tmi':
|
||||
d[ii] = Ptmi.dot(Gxyz.dot(model))
|
||||
|
||||
#%%
|
||||
# Forward operator
|
||||
d[:,ii] = Gxyz.dot(model)
|
||||
|
||||
|
||||
d_iter = np.floor(float(ii)/float(ndata)*10.);
|
||||
|
||||
@@ -0,0 +1,132 @@
|
||||
def fwr_MAG_F(mesh,B,M,rxLoc,flag):
|
||||
"""
|
||||
Forward model magnetic data using integral equation
|
||||
|
||||
INPUT:
|
||||
mesh = Mesh in SimPEG format
|
||||
B = Inducing field parameter [Binc, Bdecl, B0]
|
||||
M = Magnetization information
|
||||
[OPTIONS]
|
||||
1- [Minc, Mdecl] : Assumes uniform magnetization orientation
|
||||
2- [mx1,mx2,..., my1,...,mz1] : cell-based defined magnetization direction
|
||||
3- diag(M): Block diagonal matrix with [Mx, My, Mz] along the diagonal
|
||||
|
||||
rxLox = Observation location informat [obsx, obsy, obsz]
|
||||
|
||||
flag = 'tmi' | 'xyz' | 'full'
|
||||
[OPTIONS]
|
||||
1- tmi : Magnetization direction used and data are projected onto the
|
||||
inducing field direction F.shape([ndata, nc])
|
||||
|
||||
2- xyz : Magnetization direction used and data are given in 3-components
|
||||
F.shape([3*ndata, nc])
|
||||
|
||||
3- full: Full tensor matrix stored with shape([3*ndata, 3*nc])
|
||||
|
||||
OUTPUT:
|
||||
F = Linear forward modeling operation
|
||||
|
||||
Created on Dec, 20th 2015
|
||||
|
||||
@author: dominiquef
|
||||
"""
|
||||
|
||||
#%%
|
||||
from SimPEG import np, Utils, sp, mkvc
|
||||
from get_T_mat import get_T_mat
|
||||
|
||||
|
||||
xn = mesh.vectorNx;
|
||||
yn = mesh.vectorNy;
|
||||
zn = mesh.vectorNz;
|
||||
|
||||
mcell = (len(xn)-1) * (len(yn)-1) * (len(zn)-1)
|
||||
|
||||
ndata = rxLoc.shape[0]
|
||||
|
||||
#%% Create TMI projector
|
||||
|
||||
# Convert Bdecination from north to cartesian
|
||||
D = (450.-float(B[1]))%360.
|
||||
|
||||
Ptmi = mkvc(np.r_[np.cos(np.deg2rad(B[0]))*np.cos(np.deg2rad(D)),
|
||||
np.cos(np.deg2rad(B[0]))*np.sin(np.deg2rad(D)),
|
||||
np.sin(np.deg2rad(B[0]))],2).T;
|
||||
|
||||
# Pre-allocate space
|
||||
if flag=='tmi' | flag == 'xyz':
|
||||
|
||||
# If assumes uniform magnetization direction
|
||||
if len(M) == 2:
|
||||
|
||||
# Convert declination from north to cartesian
|
||||
Md = (450.-float(M[1]))%360.
|
||||
|
||||
# Create magnetization matrix
|
||||
mx = np.cos(np.deg2rad(M[0])) * np.cos(np.deg2rad(Md))
|
||||
my = np.cos(np.deg2rad(M[0])) * np.sin(np.deg2rad(Md))
|
||||
mz = np.sin(np.deg2rad(M[0]))
|
||||
|
||||
Mx = Utils.sdiag(np.ones([mcell])*mx*B[2])
|
||||
My = Utils.sdiag(np.ones([mcell])*my*B[2])
|
||||
Mz = Utils.sdiag(np.ones([mcell])*mz*B[2])
|
||||
|
||||
Mxyz = sp.vstack((Mx,My,Mz));
|
||||
|
||||
# Otherwise if given a vector 3*ncells
|
||||
elif len(M) == mesh.nC * 3:
|
||||
|
||||
Mxyz = sp.spdiags(M,0,mesh.nC * 3,mesh.nC * 3)
|
||||
|
||||
if flag == 'tmi':
|
||||
F = np.zeros(ndata, mesh.nC)
|
||||
|
||||
elif flag == 'xyz':
|
||||
F = np.zeros(int(3*ndata), mesh.nC)
|
||||
|
||||
elif flag == 'full':
|
||||
F = np.zeros(int(3*ndata), int(3*mesh.nC))
|
||||
|
||||
else:
|
||||
print """Flag must be either 'tmi' | 'xyz' | 'full', please revised"""
|
||||
return
|
||||
|
||||
|
||||
# Loop through all observations and create forward operator (ndata-by-mcell)
|
||||
print "Begin calculation of forward operator: " + flag
|
||||
|
||||
# Add counter to dsiplay progress. Good for large problems
|
||||
progress = -1;
|
||||
for ii in range(ndata):
|
||||
|
||||
tx, ty, tz = get_T_mat(xn,yn,zn,rxLoc[ii,:])
|
||||
|
||||
if flag=='tmi':
|
||||
F[ii,:] = Ptmi.dot(np.vstack((tx,ty,tz)))*Mxyz
|
||||
|
||||
elif flag == 'xyz':
|
||||
F[ii,:] = tx*Mxyz
|
||||
F[ii+ndata,:] = ty*Mxyz
|
||||
F[ii+2*ndata,:] = tz*Mxyz
|
||||
|
||||
elif flag == 'full':
|
||||
F[ii,:] = tx
|
||||
F[ii+ndata,:] = ty
|
||||
F[ii+2*ndata,:] = tz
|
||||
|
||||
|
||||
# Display progress
|
||||
counter = np.floor(float(ii)/float(ndata)*10.);
|
||||
|
||||
if counter > progress:
|
||||
|
||||
arg = "Done " + str(counter*10) + " %"
|
||||
print arg
|
||||
progress = counter;
|
||||
|
||||
|
||||
print "Done 100% ...forward modeling completed!!\n"
|
||||
|
||||
return F
|
||||
|
||||
|
||||
@@ -15,7 +15,7 @@ This program is licensed to:
|
||||
For internal use within UBC-GIF.
|
||||
|
||||
|
||||
MAGFOR3D started on: 11/05/2015 14:43:03
|
||||
MAGFOR3D started on: 12/21/2015 08:35:38
|
||||
|
||||
|
||||
magfor3d Mesh.msh Obs_loc.dat Model.dat
|
||||
@@ -25,7 +25,7 @@ magfor3d Mesh.msh Obs_loc.dat Model.dat
|
||||
|
||||
model was read from file: Model.dat
|
||||
|
||||
TOTAL cpu time: 0:00:01.49
|
||||
TOTAL cpu time: 0:00:00.16
|
||||
|
||||
MAGFOR3D ended on: 11/05/2015 14:43:04
|
||||
MAGFOR3D ended on: 12/21/2015 08:35:39
|
||||
|
||||
|
||||
+627
-627
File diff suppressed because it is too large
Load Diff
Reference in New Issue
Block a user