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Start working on mag integral
This commit is contained in:
D Fournier
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-2772
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Load Diff
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31 31 25
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-425.15 -425.15 271.95
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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
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|
||||
4.22930000e+05 5.46170000e+05 1.62000000e+03 -1.64978743e+01 1.00000000e+00
|
||||
4.23050000e+05 5.46170000e+05 1.62000000e+03 -1.25568643e+01 1.00000000e+00
|
||||
4.23170000e+05 5.46170000e+05 1.62000000e+03 -8.37505092e+00 1.00000000e+00
|
||||
4.23290000e+05 5.46170000e+05 1.62000000e+03 -5.46233759e+00 1.00000000e+00
|
||||
@@ -0,0 +1,2 @@
|
||||
90.00 0.00 50000.00
|
||||
90.00 0.00 1.00
|
||||
@@ -0,0 +1,5 @@
|
||||
66 52 24
|
||||
421780 544950 1600
|
||||
151.00 108.00 77.00 55.00 40.00 28.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 28.00 40.00 55.00 77.00 108.00 151.00
|
||||
151.00 108.00 77.00 55.00 40.00 28.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 28.00 40.00 55.00 77.00 108.00 151.00
|
||||
20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.00 28.00 39.00 55.00 75.00 105.00 130.00
|
||||
@@ -0,0 +1,127 @@
|
||||
'''
|
||||
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
|
||||
@@ -0,0 +1,117 @@
|
||||
'''
|
||||
Created on Jul 17, 2013
|
||||
|
||||
@author: dominiquef
|
||||
'''
|
||||
def get_UBC_mesh(meshfile):
|
||||
""" Read UBC mesh file and extract parameters
|
||||
Works for the condenced version (20 * 3) --> [20 20 20] """
|
||||
|
||||
fid = open(meshfile,'r')
|
||||
from numpy import zeros
|
||||
|
||||
# Go through the log file and extract data and the last achieved misfit
|
||||
for ii in range (1, 6):
|
||||
|
||||
line = fid.readline()
|
||||
line = line.split(' ')
|
||||
|
||||
# First line: number of cells in i, j, k
|
||||
if ii == 1:
|
||||
|
||||
numcell=[]
|
||||
|
||||
for jj in range(len(line)):
|
||||
t = int(line[jj])
|
||||
numcell.append(t)
|
||||
|
||||
nX = numcell[0]
|
||||
nY = numcell[1]
|
||||
nZ = numcell[2]
|
||||
# Second line: origin coordinate (X,Y,Z)
|
||||
elif ii==2:
|
||||
|
||||
origin = []
|
||||
|
||||
for jj in range(len(line)):
|
||||
t = float(line[jj])
|
||||
origin.append(t)
|
||||
|
||||
|
||||
# Other lines for the xn, yn, zn (nodes location)
|
||||
elif ii==3:
|
||||
|
||||
xn=zeros((nX+1,1), dtype=float)
|
||||
xn[0] = origin[0]
|
||||
|
||||
count_entry = 0;
|
||||
count = 0;
|
||||
while (count<nX):
|
||||
|
||||
if line[count_entry].find('*') != -1:
|
||||
|
||||
ndx = line[count_entry].split('*')
|
||||
|
||||
for kk in range(int(ndx[0])):
|
||||
xn[count+1] = xn[count] + (ndx[1])
|
||||
count = count+1
|
||||
count_entry=count_entry+1
|
||||
|
||||
else:
|
||||
|
||||
t = float(line[count_entry])
|
||||
xn[count+1]= xn[count] +t
|
||||
count = count+1;
|
||||
count_entry=count_entry+1
|
||||
|
||||
elif ii==4:
|
||||
|
||||
yn=zeros((nY+1,1), dtype=float)
|
||||
yn[0] = origin[0]
|
||||
|
||||
count_entry = 0;
|
||||
count = 0;
|
||||
while (count<nY):
|
||||
|
||||
if line[count_entry].find('*') != -1:
|
||||
|
||||
ndx = line[count_entry].split('*')
|
||||
|
||||
for kk in range(int(ndx[0])):
|
||||
yn[count+1] = yn[count] + (ndx[1])
|
||||
count = count+1
|
||||
count_entry=count_entry+1
|
||||
|
||||
else:
|
||||
|
||||
t = float(line[count_entry])
|
||||
yn[count+1]= yn[count] +t
|
||||
count = count+1;
|
||||
count_entry=count_entry+1
|
||||
|
||||
elif ii==5:
|
||||
|
||||
zn=zeros((nZ+1,1), dtype=float)
|
||||
zn[0] = origin[0]
|
||||
|
||||
count_entry = 0;
|
||||
count = 0;
|
||||
while (count<nZ):
|
||||
|
||||
if line[count_entry].find('*') != -1:
|
||||
|
||||
ndx = line[count_entry].split('*')
|
||||
|
||||
for kk in range(int(ndx[0])):
|
||||
zn[count+1] = zn[count] + (ndx[1])
|
||||
count = count+1
|
||||
count_entry=count_entry+1
|
||||
|
||||
else:
|
||||
|
||||
t = float(line[count_entry])
|
||||
zn[count+1]= zn[count] +t
|
||||
count = count+1;
|
||||
count_entry=count_entry+1
|
||||
fid.close();
|
||||
return xn,yn,zn
|
||||
@@ -0,0 +1,58 @@
|
||||
'''
|
||||
Created on Jul 17, 2013
|
||||
|
||||
@author: dominiquef
|
||||
'''
|
||||
def read_MAG_obs(obs_file):
|
||||
"""Read input files for the lp_norm script"""
|
||||
from numpy import zeros
|
||||
|
||||
fid = open(obs_file,'r')
|
||||
|
||||
|
||||
# First line has the declination, inclination and amplitude of B0
|
||||
line = fid.readline()
|
||||
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(' ')
|
||||
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(' ')
|
||||
ndat = int(line[0])
|
||||
|
||||
# Pre-allocate space for obsx, obsy, obsz, data, uncert
|
||||
obsx = zeros((ndat,1), dtype=float)
|
||||
obsy = zeros((ndat,1), dtype=float)
|
||||
obsz = zeros((ndat,1), dtype=float)
|
||||
data = zeros((ndat,1), dtype=float)
|
||||
unct = zeros((ndat,1), dtype=float)
|
||||
|
||||
for ii in range(ndat):
|
||||
|
||||
line = fid.readline()
|
||||
line = line.split(' ')
|
||||
|
||||
obsx[ii] = line[0]
|
||||
obsy[ii] = line[1]
|
||||
obsz[ii] = line[2]
|
||||
|
||||
if len(line)>3:
|
||||
|
||||
data[ii] = line[3]
|
||||
|
||||
if len(line)>4:
|
||||
|
||||
unct[ii] = line[4]
|
||||
|
||||
|
||||
|
||||
return Decl, Incl, B0, Mdec, Minc, obsx, obsy, obsz, data, unct
|
||||
File diff suppressed because one or more lines are too long
Reference in New Issue
Block a user