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Scripts added for the magnetic integral formulation

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This commit is contained in:
D Fournier
2015-11-10 14:23:29 -08:00
parent 6174c6fece
commit 6c71237328
37 changed files with 13874 additions and 24518 deletions
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simpegPF/BaseMag.py
+47 -1
View File
@@ -141,4 +141,50 @@ class WeightMap(Maps.IdentityMap):
return m*self.weight
def deriv(self, m):
return Utils.sdiag(self.weight)
return Utils.sdiag(self.weight)
def readUBCmagObs(obs_file):
"""
Read and write UBC mag file format
INPUT:
:param fileName, path to the UBC obs mag file
OUTPUT:
:param dobs, observation in (x y z [data] [wd])
:param B, primary field information (BI, BD, B0)
:param M, magnetization orentiaton (MI, MD)
"""
fid = open(obs_file,'r')
# First line has the inclination,declination and amplitude of B0
line = fid.readline()
B = np.array(line.split(),dtype=float)
# Second line has the magnetization orientation and a flag
line = fid.readline()
M = np.array(line.split(),dtype=float)
# Third 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)
dobs = np.zeros((ndat,len(temp)), dtype=float)
for ii in range(ndat):
dobs[ii,:] = np.array(line.split(),dtype=float)
line = fid.readline()
return B, M, dobs
simpegPF/Dev/FWR_data.dat
+628
View File
@@ -0,0 +1,628 @@
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45.00 135.00 1.00
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simpegPF/Dev/FWR_test.dat
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simpegPF/Dev/G.mat
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simpegPF/Dev/MAG3Cfwr.inp
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Mesh.msh ! Mesh file
Obs_loc.dat ! Obsfile
Model.dat ! Susceptibility model
null ! M_azm_dip.dat ! Magnetization model | null
null ! Topography file | null
simpegPF/Dev/MAG3Csen.inp
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Mesh.msh ! Mesh file
Obs_loc.dat ! Obsfile
null ! Topofile | null
DISTANCE ! weighting flag DISTANCE | DEPTH
G ! Define output TxTyTz | G
simpegPF/Dev/MAG3Csen.log
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MAG3Csen
Generates sparse matrices for magnetostatic forward modeling: Tx, Ty, Tz
Topographic model: nullcell.dat
DISTANCE | DEPTH weighting: wr.dat
Written by: Dominique Fournier
Last update: July 14th, 2014
INPUT FILES:
Mesh: Mesh.msh
Obsfile: Obs_loc.dat
Topography:
Weighting: DISTANCE
Computed 0 pct of data in 0.04128 sec
Computed 5 pct of data in 0.04634 sec
Computed 10 pct of data in 0.05386 sec
Computed 15 pct of data in 0.06035 sec
Computed 20 pct of data in 0.06507 sec
Computed 25 pct of data in 0.07160 sec
Computed 30 pct of data in 0.08211 sec
Computed 35 pct of data in 0.08901 sec
Computed 40 pct of data in 0.09365 sec
Computed 45 pct of data in 0.10179 sec
Computed 50 pct of data in 0.10963 sec
Computed 55 pct of data in 0.11704 sec
Computed 60 pct of data in 0.12449 sec
Computed 65 pct of data in 0.13205 sec
Computed 70 pct of data in 0.13838 sec
Computed 75 pct of data in 0.14311 sec
Computed 80 pct of data in 0.14761 sec
Computed 85 pct of data in 0.15447 sec
Computed 90 pct of data in 0.15941 sec
Computed 95 pct of data in 0.16424 sec
Computed 100 pct of data in 0.17136 sec
Sensitivity calculation completed in: 0.002860 min
simpegPF/Dev/MAG3D_fwr_Driver.py
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import os
home_dir = 'C:\Users\dominiquef.MIRAGEOSCIENCE\Documents\GIT\Research\SimPeg'
inpfile = 'MAG3Cfwr.inp'
os.chdir(home_dir)
#%%
from SimPEG import np, Utils
from simpegPF import BaseMag
## New scripts to be added to basecode
from fwr_MAG_obs import fwr_MAG_obs
from read_MAGfwr_inp import read_MAGfwr_inp
#%%
# Read input file
[mshfile, obsfile, modfile, magfile, topofile] = read_MAGfwr_inp(inpfile)
# Load mesh file
mesh = Utils.meshutils.readUBCTensorMesh(mshfile)
# Load model file
model = Utils.meshutils.readUBCTensorModel(modfile,mesh)
# Load in observation file
[B,M,dobs] = BaseMag.readUBCmagObs(obsfile)
rxLoc = dobs[:,0:3]
# Compute forward model using integral equation
d = fwr_MAG_obs(xn,yn,zn,B,M,rxLoc,model)
# Form data object with coordinates and write to file
data = np.c_[rxLoc , d , 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'
simpegPF/Dev/MAG3D_fwr_Test.py
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import os
home_dir = 'C:\Users\dominiquef.MIRAGEOSCIENCE\Documents\GIT\Research\SimPeg'
os.chdir(home_dir)
#%%
from SimPEG import *
import matplotlib.pyplot as plt
import simpegPF as PF
from simpegPF import BaseMag
import matplotlib
from fwr_MAG_obs import fwr_MAG_obs
#%% Create survey
B[0] = 90.
B[1] = 00.
B[2] = 50000.
M[0] = 90.
M[1] = 0.
# # Or create juste a plane grid
xr = np.linspace(-1./2., 1./2., 10)
yr = np.linspace(-1./2., 1./2., 10)
X, Y = np.meshgrid(xr, yr)
Z = np.ones((xr.size, yr.size))*.75
rxLoc = np.c_[Utils.mkvc(X), Utils.mkvc(Y), Utils.mkvc(Z)]
ndata = rxLoc.shape[0]
#%%
# Create mesh using simpeg and write out in GIF format
nc = 30.
hxind = [(1./nc, nc)]
hyind = [(1./nc, nc)]
hzind = [(1./nc, nc)]
mesh = Mesh.TensorMesh([hxind, hyind, hzind], 'CCC')
xn = mesh.vectorNx
yn = mesh.vectorNy
zn = mesh.vectorNz
mcell = mesh.nC
sph_ind = PF.MagAnalytics.spheremodel(mesh, 0, 0, 0, 0.25)
chibkg = 0.
chiblk = 0.01
model = np.ones(mcell)*chibkg
model[sph_ind] = chiblk
#%% Forward mode ldata
d = fwr_MAG_obs(xn,yn,zn,B,M,rxLoc,model)
#%% Get the analystical answer and compute the residual
bxa,bya,bza = PF.MagAnalytics.MagSphereAnaFunA(rxLoc[:,0],rxLoc[:,1],rxLoc[:,2],.25,0.,0.,0.,chiblk, np.array(([0.,0.,B[2]])),'secondary')
r_Bz = mkvc(d) - bza
lrl = sum( dBz**2 ) **0.5
print "Residual between analytical and integral= " + str(lrl)
#%% Plot fields
plt.figure(1)
ax = plt.subplot(131)
plt.imshow(np.reshape(bxa,X.shape), interpolation="bicubic", extent=[xr.min(), xr.max(), yr.min(), yr.max()])
plt.contour(X,Y, np.reshape(bxa,X.shape),10)
plt.scatter(X,Y, c='k', s=5)
ax.set_title('Sphere Ana Bx')
ax = plt.subplot(132)
plt.imshow(np.reshape(bya,X.shape), interpolation="bicubic", extent=[xr.min(), xr.max(), yr.min(), yr.max()])
plt.contour(X,Y, np.reshape(bya,X.shape),10)
plt.scatter(X,Y, c='k', s=5)
ax.set_title('Sphere Ana By')
ax = plt.subplot(133)
plt.imshow(np.reshape(bza,X.shape), interpolation="bicubic", extent=[xr.min(), xr.max(), yr.min(), yr.max()])
plt.contour(X,Y, np.reshape(bza,X.shape),10)
plt.scatter(X,Y, c='k', s=5)
ax.set_title('Sphere Ana Bz')
#%% Plot foward data
plt.figure(2)
plt.subplot(121)
d2D = np.reshape(d,X.shape)
plt.imshow(d2D, interpolation="bicubic", extent=[xr.min(), xr.max(), yr.min(), yr.max()])
plt.contour(X,Y, d2D,10)
plt.scatter(X,Y, c='k', s=5)
#%% Compare fields
plt.subplot(122)
plt.imshow(np.reshape(dBz,X.shape), interpolation="bicubic", extent=[xr.min(), xr.max(), yr.min(), yr.max()])
plt.contour(X,Y, np.reshape(dBz,X.shape),10)
plt.scatter(X,Y, c='k', s=5)
simpegPF/notebooks/MagForward_Intergral.ipynb → simpegPF/Dev/MagForward_Intergral.ipynb
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simpegPF/Dev/Mesh.msh
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simpegPF/Dev/Model.dat
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simpegPF/notebooks/Obs_RAW_REM_GRID_TMI.obs → simpegPF/Dev/Obs_RAW_REM_GRID_TMI.obs
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simpegPF/Dev/Obs_loc.dat
+628
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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
simpegPF/notebooks/Tile1.msh → simpegPF/Dev/Tile1.msh
View File
simpegPF/Dev/fwr_MAG_obs.py
+80
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@@ -0,0 +1,80 @@
def fwr_MAG_obs(xn,yn,zn,B,M,rxLoc,model):
"""
Forward model magnetic data using integral equation
INPUT:
xn, yn, zn = Mesh nodes location
B = Inducing field parameter [Binc, Bdecl, B0]
M = Magnetization matrix [Minc, Mdecl]
rxLox = Observation location informat [obsx, obsy, obsz]
model = Model associated with mesh
OUTPUT:
dobs =Observation array in format [obsx, obsy, obsz, data]
Created on Oct 7, 2015
@author: dominiquef
"""
#%%
from SimPEG import np, Utils, sp, mkvc
from get_T_mat import get_T_mat
mcell = (len(xn)-1) * (len(yn)-1) * (len(zn)-1)
ndata = rxLoc.shape[0]
# 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])
#matplotlib.pyplot.spy(scipy.sparse.csr_matrix(Mx))
#plt.show()
Mxyz = sp.vstack((Mx,My,Mz));
#%% 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;
d = np.zeros((ndata,1))
# Loop through all observations and create forward operator (ndata-by-mcell)
print "Begin forward modeling " +str(int(ndata)) + " data points..."
# 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,:])
G = Ptmi.dot(np.vstack((tx,ty,tz)))*Mxyz
#%%
# Forward operator
d[ii,0] = G.dot(model)
d_iter = np.floor(float(ii)/float(ndata)*10.);
if d_iter > progress:
arg = "Done " + str(d_iter*10) + " %"
print arg
progress = d_iter;
print "Done 100% ...forward modeling completed!!\n"
return d
simpegPF/Dev/get_T_mat.py
+133
View File
@@ -0,0 +1,133 @@
'''
Created on Sep 27, 2015
@author: dominiquef
'''
def get_T_mat(xn,yn,zn,rxLoc):
"""
Load in the nodes of a tensor mesh and computes the magnetic tensor
for a given observation location [obsx, obsy, obsz]
OUTPUT:
Tx = [Txx Txy Txz]
Ty = [Tyx Tyy Tyz]
Tz = [Tzx Tzy Tzz]
where each elements have dimension 1-by-mcell.
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.
"""
from SimPEG import np, mkvc
ncx = len(xn)-1
ncy = len(yn)-1
ncz = len(zn)-1
mcell = ncx*ncy*ncz
# 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;
dy2 = yn2 - rxLoc[1];
dy1 = yn1 - rxLoc[1];
dx2 = xn2 - rxLoc[0];
dx1 = xn1 - rxLoc[0];
R1 = ( dy2**2 + dx2**2 );
R2 = ( dy2**2 + dx1**2 );
R3 = ( dy1**2 + dx2**2 );
R4 = ( dy1**2 + dx1**2 );
arg1 = np.sqrt( dz2**2 + R2 );
arg2 = np.sqrt( dz2**2 + R1 );
arg3 = np.sqrt( dz1**2 + R1 );
arg4 = np.sqrt( dz1**2 + R2 );
arg5 = np.sqrt( dz2**2 + R3 );
arg6 = np.sqrt( dz2**2 + R4 );
arg7 = np.sqrt( dz1**2 + R4 );
arg8 = np.sqrt( dz1**2 + R3 );
Tx[0,0:mcell] = np.arctan2( dy1 * dz2 , ( dx2 * arg5 ) ) +\
- np.arctan2( dy2 * dz2 , ( dx2 * arg2 ) ) +\
np.arctan2( dy2 * dz1 , ( dx2 * arg3 ) ) +\
- np.arctan2( dy1 * dz1 , ( dx2 * arg8 ) ) +\
np.arctan2( dy2 * dz2 , ( dx1 * arg1 ) ) +\
- np.arctan2( dy1 * dz2 , ( dx1 * arg6 ) ) +\
np.arctan2( dy1 * dz1 , ( dx1 * arg7 ) ) +\
- np.arctan2( dy2 * dz1 , ( dx1 * arg4 ) );
Ty[0,0:mcell] = np.log( ( dz2 + arg2 ) / (dz1 + arg3 ) ) +\
-np.log( ( dz2 + arg1 ) / (dz1 + arg4 ) ) +\
np.log( ( dz2 + arg6 ) / (dz1 + arg7 ) ) +\
-np.log( ( dz2 + arg5 ) / (dz1 + arg8 ) );
Ty[0,mcell:2*mcell] = np.arctan2( dx1 * dz2 , ( dy2 * arg1 ) ) +\
- np.arctan2( dx2 * dz2 , ( dy2 * arg2 ) ) +\
np.arctan2( dx2 * dz1 , ( dy2 * arg3 ) ) +\
- np.arctan2( dx1 * dz1 , ( dy2 * arg4 ) ) +\
np.arctan2( dx2 * dz2 , ( dy1 * arg5 ) ) +\
- np.arctan2( dx1 * dz2 , ( dy1 * arg6 ) ) +\
np.arctan2( dx1 * dz1 , ( dy1 * arg7 ) ) +\
- np.arctan2( dx2 * dz1 , ( dy1 * arg8 ) );
R1 = (dy2**2 + dz1**2);
R2 = (dy2**2 + dz2**2);
R3 = (dy1**2 + dz1**2);
R4 = (dy1**2 + dz2**2);
Ty[0,2*mcell:] = np.log( ( dx1 + np.sqrt( dx1**2 + R1 ) ) / (dx2 + np.sqrt( dx2**2 + R1 ) ) ) +\
-np.log( ( dx1 + np.sqrt( dx1**2 + R2 ) ) / (dx2 + np.sqrt( dx2**2 + R2 ) ) ) +\
np.log( ( dx1 + np.sqrt( dx1**2 + R4 ) ) / (dx2 + np.sqrt( dx2**2 + R4 ) ) ) +\
-np.log( ( dx1 + np.sqrt( dx1**2 + R3 ) ) / (dx2 + np.sqrt( dx2**2 + R3 ) ) );
R1 = (dx2**2 + dz1**2);
R2 = (dx2**2 + dz2**2);
R3 = (dx1**2 + dz1**2);
R4 = (dx1**2 + dz2**2);
Tx[0,2*mcell:] = np.log( ( dy1 + np.sqrt( dy1**2 + R1 ) ) / (dy2 + np.sqrt( dy2**2 + R1 ) ) ) +\
-np.log( ( dy1 + np.sqrt( dy1**2 + R2 ) ) / (dy2 + np.sqrt( dy2**2 + R2 ) ) ) +\
np.log( ( dy1 + np.sqrt( dy1**2 + R4 ) ) / (dy2 + np.sqrt( dy2**2 + R4 ) ) ) +\
-np.log( ( dy1 + np.sqrt( dy1**2 + R3 ) ) / (dy2 + np.sqrt( dy2**2 + R3 ) ) );
Tz[0,2*mcell:] = -( Ty[0,mcell:2*mcell] + Tx[0,0:mcell] );
Tz[0,mcell:2*mcell] = Ty[0,2*mcell:];
Tx[0,mcell:2*mcell] = Ty[0,0:mcell];
Tz[0,0:mcell] = Tx[0,2*mcell:];
Tx = Tx/(4*np.pi);
Ty = Ty/(4*np.pi);
Tz = Tz/(4*np.pi);
return Tx,Ty,Tz
simpegPF/notebooks/get_UBC_mesh.py → simpegPF/Dev/get_UBC_mesh.py
View File
simpegPF/Dev/magfor3d.log
+31
View File
@@ -0,0 +1,31 @@
Parallelized with OpenMP. # of threads: 4
MAG3D - Version 5.0 : MAGFOR3D
Developed by University of British Columbia
Geophysical Inversion Facility (UBC-GIF)
(C) Copyright 1992 - 2013, UBC-GIF,
Department of Earth and Ocean Sciences, UBC
http://gif.eos.ubc.ca/
This program is licensed to:
For internal use within UBC-GIF.
MAGFOR3D started on: 11/05/2015 14:43:03
magfor3d Mesh.msh Obs_loc.dat Model.dat
# of surface data: 625
# of borehole data: 0
model was read from file: Model.dat
TOTAL cpu time: 0:00:01.49
MAGFOR3D ended on: 11/05/2015 14:43:04
simpegPF/Dev/magfor3d.mag
+628
View File
@@ -0,0 +1,628 @@
90.00 0.00 50000.00 !! incl, decl, geomag
90.00 0.00 1 !! aincl, adecl, idir
625 !! # of data
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2.550000000E+01 2.550000000E+01 2.500000000E+01 -1.236074E+00
simpegPF/notebooks/model.png → simpegPF/Dev/model.png
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simpegPF/Dev/nullcell.dat
+27
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@@ -0,0 +1,27 @@
1.0000000e+00
1.0000000e+00
1.0000000e+00
1.0000000e+00
1.0000000e+00
1.0000000e+00
1.0000000e+00
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1.0000000e+00
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1.0000000e+00
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1.0000000e+00
1.0000000e+00
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1.0000000e+00
1.0000000e+00
1.0000000e+00
1.0000000e+00
1.0000000e+00
1.0000000e+00
simpegPF/notebooks/obspred.png → simpegPF/Dev/obspred.png
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simpegPF/notebooks/read_MAG_obs.py → simpegPF/Dev/read_MAG_obs.py
+4 -4
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@@ -12,21 +12,21 @@ def read_MAG_obs(obs_file):
# First line has the declination, inclination and amplitude of B0
line = fid.readline()
line = line.split(' ')
line = line.split()
Incl = float(line[0])
Decl = float(line[1])
B0 = float(line[2])
# Second line has the magnetization orientation and a flag
line = fid.readline()
line = line.split(' ')
line = line.split()
Minc = float(line[0])
Mdec = float(line[1])
FLAG = float(line[2])
# Third line has the number of rows
line = fid.readline()
line = line.split(' ')
line = line.split()
ndat = int(line[0])
# Pre-allocate space for obsx, obsy, obsz, data, uncert
@@ -39,7 +39,7 @@ def read_MAG_obs(obs_file):
for ii in range(ndat):
line = fid.readline()
line = line.split(' ')
line = line.split()
obsx[ii] = line[0]
obsy[ii] = line[1]
simpegPF/Dev/read_MAGfwr_inp.py
+52
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@@ -0,0 +1,52 @@
def read_MAGfwr_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
modfile
magfile
topofile
# All files should be in the working directory, otherwise the path must
# be specified.
Created on Jul 17, 2013
@author: dominiquef
"""
fid = open(input_file,'r')
line = fid.readline()
l_input = line.split('!')
mshfile = l_input[0].rstrip()
line = fid.readline()
l_input = line.split('!')
obsfile = l_input[0].rstrip()
line = fid.readline()
l_input = line.split('!')
modfile = l_input[0].rstrip()
line = fid.readline()
l_input = line.split('!')
if l_input=='null':
magfile = []
else:
magfile = l_input[0].rstrip()
line = fid.readline()
l_input = line.split('!')
if l_input=='null':
topofile = []
else:
topofile = l_input[0].rstrip()
return mshfile, obsfile, modfile, magfile, topofile
simpegPF/Dev/test.out
+3
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@@ -0,0 +1,3 @@
0.000000000000000000e+00 1.000000000000000000e+00 2.000000000000000000e+00 3.000000000000000000e+00 4.000000000000000000e+00
0.000000000000000000e+00 1.000000000000000000e+00 2.000000000000000000e+00 3.000000000000000000e+00 4.000000000000000000e+00
0.000000000000000000e+00 1.000000000000000000e+00 2.000000000000000000e+00 3.000000000000000000e+00 4.000000000000000000e+00
simpegPF/Dev/wr.dat
+27
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@@ -0,0 +1,27 @@
9.8795652e-01
5.5014643e-01
3.6763740e-01
9.9389003e-01
5.5768086e-01
3.7348300e-01
9.8795652e-01
5.5014643e-01
3.6763740e-01
9.9389003e-01
5.5768086e-01
3.7348300e-01
1.0000000e+00
5.6536871e-01
3.7943638e-01
9.9389003e-01
5.5768086e-01
3.7348300e-01
9.8795652e-01
5.5014643e-01
3.6763740e-01
9.9389003e-01
5.5768086e-01
3.7348300e-01
9.8795652e-01
5.5014643e-01
3.6763740e-01
simpegPF/MagSurveyIE.py
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from BaseMag import BaseMagSurvey
class MagSurveyIE(BaseMagSurvey):
"""Base Magnetics Survey"""
rxLoc = None #: receiver locations
rxType = None #: receiver type
def __init__(self, **kwargs):
Survey.BaseSurvey.__init__(self, **kwargs)
def setBackgroundField(self, Inc, Dec, Btot):
Bx = Btot*np.cos(Inc/180.*np.pi)*np.sin(Dec/180.*np.pi)
By = Btot*np.cos(Inc/180.*np.pi)*np.cos(Dec/180.*np.pi)
Bz = -Btot*np.sin(Inc/180.*np.pi)
self.B0 = np.r_[Bx,By,Bz]
simpegPF/notebooks/MagInversion.ipynb
+39 -25
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simpegPF/notebooks/Mesh.dat
-24025
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File diff suppressed because it is too large Load Diff
simpegPF/notebooks/Mesh.msh
-5
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@@ -1,5 +0,0 @@
31 31 25
-425.15 -425.15 271.95
92.82 71.40 54.93 42.25 32.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 32.50 42.25 54.93 71.40 92.82
92.82 71.40 54.93 42.25 32.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 32.50 42.25 54.93 71.40 92.82
12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 12.50 32.50 42.25 54.93 71.40 92.82
simpegPF/notebooks/Obs_loc.dat
-2
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@@ -1,2 +0,0 @@
90.00 0.00 50000.00
90.00 0.00 1.00
simpegPF/notebooks/Untitled.ipynb
+36
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{
"cells": [
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"obs = BaseMag.UBCmagObs('Obs_loc.dat')"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.10"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
simpegPF/notebooks/get_T_mat.py
-127
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@@ -1,127 +0,0 @@
'''
Created on Sep 27, 2015
@author: dominiquef
'''
def get_T_mat(xn,yn,zn,obsx,obsy,obsz):
"""
Load in the nodes of a tensor mesh and computes the magnetic tensor
for a given observation location [obsx, obsy, obsz]
OUTPUT:
Tx = [Txx Txy Txz]
Ty = [Tyx Tyy Tyz]
Tz = [Tzx Tzy Tzz]
where each elements have dimension 1-by-mcell.
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.
"""
from numpy import empty, pi, log, arctan, sqrt, shape
ncx = len(xn)-1
ncy = len(yn)-1
ncz = len(zn)-1
mcell = ncx*ncy*ncz;
Tx = empty([1,3*mcell], dtype=float)
Ty = empty([1,3*mcell], dtype=float)
Tz = empty([1,3*mcell], dtype=float)
count = 0
for ii in range(ncz):
print ii, ncz
dz2 = zn[ii] - obsz;
dz1 = zn[ii+1] - obsz;
for jj in range(ncy):
dy2 = yn[jj] - obsy;
dy1 = yn[jj+1] - obsy;
for kk in range(ncx):
dx2 = xn[kk] - obsx;
dx1 = xn[kk+1] - obsx;
R1 = ( dy2**2 + dx2**2 );
R2 = ( dy2**2 + dx1**2 );
R3 = ( dy1**2 + dx2**2 );
R4 = ( dy1**2 + dx1**2 );
arg1 = sqrt( dz2**2 + R2 );
arg2 = sqrt( dz2**2 + R1 );
arg3 = sqrt( dz1**2 + R1 );
arg4 = sqrt( dz1**2 + R2 );
arg5 = sqrt( dz2**2 + R3 );
arg6 = sqrt( dz2**2 + R4 );
arg7 = sqrt( dz1**2 + R4 );
arg8 = sqrt( dz1**2 + R3 );
Tx[0,count] = arctan( dy1 * dz2 / ( dx2 * arg5 ) ) +\
- arctan( dy2 * dz2 / ( dx2 * arg2 ) ) +\
arctan( dy2 * dz1 / ( dx2 * arg3 ) ) +\
- arctan( dy1 * dz1 / ( dx2 * arg8 ) ) +\
arctan( dy2 * dz2 / ( dx1 * arg1 ) ) +\
- arctan( dy1 * dz2 / ( dx1 * arg6 ) ) +\
arctan( dy1 * dz1 / ( dx1 * arg7 ) ) +\
- arctan( dy2 * dz1 / ( dx1 * arg4 ) );
Ty[0,count] = log( ( dz2 + arg2 ) / (dz1 + arg3 ) ) +\
-log( ( dz2 + arg1 ) / (dz1 + arg4 ) ) +\
log( ( dz2 + arg6 ) / (dz1 + arg7 ) ) +\
-log( ( dz2 + arg5 ) / (dz1 + arg8 ) );
Ty[0,mcell+count] = arctan( dx1 * dz2 / ( dy2 * arg1 ) ) +\
- arctan( dx2 * dz2 / ( dy2 * arg2 ) ) +\
arctan( dx2 * dz1 / ( dy2 * arg3 ) ) +\
- arctan( dx1 * dz1 / ( dy2 * arg4 ) ) +\
arctan( dx2 * dz2 / ( dy1 * arg5 ) ) +\
- arctan( dx1 * dz2 / ( dy1 * arg6 ) ) +\
arctan( dx1 * dz1 / ( dy1 * arg7 ) ) +\
- arctan( dx2 * dz1 / ( dy1 * arg8 ) );
R1 = (dy2**2 + dz1**2);
R2 = (dy2**2 + dz2**2);
R3 = (dy1**2 + dz1**2);
R4 = (dy1**2 + dz2**2);
Ty[0,2*mcell+count] = log( ( dx1 + sqrt( dx1**2 + R1 ) ) / (dx2 + sqrt( dx2**2 + R1 ) ) ) +\
-log( ( dx1 + sqrt( dx1**2 + R2 ) ) / (dx2 + sqrt( dx2**2 + R2 ) ) ) +\
log( ( dx1 + sqrt( dx1**2 + R4 ) ) / (dx2 + sqrt( dx2**2 + R4 ) ) ) +\
-log( ( dx1 + sqrt( dx1**2 + R3 ) ) / (dx2 + sqrt( dx2**2 + R3 ) ) );
R1 = (dx2**2 + dz1**2);
R2 = (dx2**2 + dz2**2);
R3 = (dx1**2 + dz1**2);
R4 = (dx1**2 + dz2**2);
Tx[0,2*mcell+count] = log( ( dy1 + sqrt( dy1**2 + R1 ) ) / (dy2 + sqrt( dy2**2 + R1 ) ) ) +\
-log( ( dy1 + sqrt( dy1**2 + R2 ) ) / (dy2 + sqrt( dy2**2 + R2 ) ) ) +\
log( ( dy1 + sqrt( dy1**2 + R4 ) ) / (dy2 + sqrt( dy2**2 + R4 ) ) ) +\
-log( ( dy1 + sqrt( dy1**2 + R3 ) ) / (dy2 + sqrt( dy2**2 + R3 ) ) );
Tz[0,2*mcell+count] = -( Ty[0,mcell+count] + Tx[0,count] );
Tz[0,mcell+count] = Ty[0,2*mcell+count];
Tx[0,mcell+count] = Ty[0,count];
Tz[0,count] = Tx[0,2*mcell+count];
count = count + 1
Tx = Tx/(4*pi);
Ty = Ty/(4*pi);
Tz = Tz/(4*pi);
return Tx,Ty,Tz