Files
simpeg/simpegPF/BaseMag.py
T

363 lines
8.3 KiB
Python

from SimPEG import Maps, Survey, Utils, np, sp
from scipy.constants import mu_0
import re
class BaseMagSurvey(Survey.BaseSurvey):
"""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]
@property
def Qfx(self):
if getattr(self, '_Qfx', None) is None:
self._Qfx = self.prob.mesh.getInterpolationMat(self.rxLoc,'Fx')
return self._Qfx
@property
def Qfy(self):
if getattr(self, '_Qfy', None) is None:
self._Qfy = self.prob.mesh.getInterpolationMat(self.rxLoc,'Fy')
return self._Qfy
@property
def Qfz(self):
if getattr(self, '_Qfz', None) is None:
self._Qfz = self.prob.mesh.getInterpolationMat(self.rxLoc,'Fz')
return self._Qfz
def projectFields(self, u):
"""
This function projects the fields onto the data space.
Especially, here for we use total magnetic intensity (TMI) data,
which is common in practice.
First we project our B on to data location
.. math::
\mathbf{B}_{rec} = \mathbf{P} \mathbf{B}
then we take the dot product between B and b_0
.. math ::
\\text{TMI} = \\vec{B}_s \cdot \hat{B}_0
"""
#TODO: There can be some different tyes of data like |B| or B
bfx = self.Qfx*u['B']
bfy = self.Qfy*u['B']
bfz = self.Qfz*u['B']
# Generate unit vector
B0 = self.prob.survey.B0
Bot = np.sqrt(B0[0]**2+B0[1]**2+B0[2]**2)
box = B0[0]/Bot
boy = B0[1]/Bot
boz = B0[2]/Bot
# return bfx*box + bfx*boy + bfx*boz
return bfx*box + bfy*boy + bfz*boz
@Utils.count
def projectFieldsDeriv(self, B):
"""
This function projects the fields onto the data space.
.. math::
\\frac{\partial d_\\text{pred}}{\partial \mathbf{B}} = \mathbf{P}
Especially, this function is for TMI data type
"""
# Generate unit vector
B0 = self.prob.survey.B0
Bot = np.sqrt(B0[0]**2+B0[1]**2+B0[2]**2)
box = B0[0]/Bot
boy = B0[1]/Bot
boz = B0[2]/Bot
return self.Qfx*box+self.Qfy*boy+self.Qfz*boz
def projectFieldsAsVector(self, B):
bfx = self.Qfx*B
bfy = self.Qfy*B
bfz = self.Qfz*B
return np.r_[bfx, bfy, bfz]
class MagSurveyBx(object):
"""docstring for MagSurveyBx"""
def __init__(self, **kwargs):
Survey.BaseData.__init__(self, **kwargs)
def projectFields(self, B):
bfx = self.Qfx*B
return bfx
class BaseMagMap(Maps.IdentityMap):
"""BaseMagMap"""
def __init__(self, mesh, **kwargs):
Maps.IdentityMap.__init__(self, mesh)
def _transform(self, m):
return mu_0*(1 + m)
def deriv(self, m):
return mu_0*sp.identity(self.nP)
class WeightMap(Maps.IdentityMap):
"""Weighted Map for distributed parameters"""
def __init__(self, mesh, weight, **kwargs):
Maps.IdentityMap.__init__(self, mesh)
self.mesh = mesh
self.weight = weight
def _transform(self, m):
return m*self.weight
def deriv(self, m):
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
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
def read_MAGinv_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
topofile
start model
ref model
mag model
weightfile
chi_target
as, ax ,ay, az
upper, lower bounds
lp, lqx, lqy, lqz
# All files should be in the working directory, otherwise the path must
# be specified.
Created on Dec 21th, 2015
@author: dominiquef
"""
fid = open(input_file,'r')
# Line 1
line = fid.readline()
l_input = line.split('!')
mshfile = l_input[0].rstrip()
# Line 2
line = fid.readline()
l_input = line.split('!')
obsfile = l_input[0].rstrip()
# Line 3
line = fid.readline()
l_input = re.split('[!\s]',line)
if l_input=='null':
topofile = []
else:
topofile = l_input[0].rstrip()
# Line 4
line = fid.readline()
l_input = re.split('[!\s]',line)
if l_input[0]=='VALUE':
mstart = float(l_input[1])
else:
mstart = l_input[0].rstrip()
# Line 5
line = fid.readline()
l_input = re.split('[!\s]',line)
if l_input[0]=='VALUE':
mref = float(l_input[1])
else:
mref = l_input[0].rstrip()
# Line 6
line = fid.readline()
l_input = re.split('[!\s]',line)
if l_input=='DEFAULT':
magfile = []
else:
magfile = l_input[0].rstrip()
# Line 7
line = fid.readline()
l_input = re.split('[!\s]',line)
if l_input=='DEFAULT':
wgtfile = []
else:
wgtfile = l_input[0].rstrip()
# Line 8
line = fid.readline()
l_input = re.split('[!\s]',line)
chi = float(l_input[0])
# Line 9
line = fid.readline()
l_input = re.split('[!\s]',line)
val = np.array(l_input[0:4])
alphas = val.astype(np.float)
# Line 10
line = fid.readline()
l_input = re.split('[!\s]',line)
if l_input[0]=='VALUE':
val = np.array(l_input[1:3])
bounds = val.astype(np.float)
else:
bounds = l_input[0].rstrip()
# Line 11
line = fid.readline()
l_input = re.split('[!\s]',line)
if l_input[0]=='VALUE':
val = np.array(l_input[1:6])
lpnorms = val.astype(np.float)
else:
lpnorms = l_input[0].rstrip()
return mshfile, obsfile, topofile, mstart, mref, magfile, wgtfile, chi, alphas, bounds, lpnorms