forked from simpeg/simpeg
/
BaseMag.py
195 lines (132 loc) · 4.86 KB
/
BaseMag.py
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
from SimPEG import Maps, Survey, Utils
import numpy as np
import scipy.sparse as sp
from scipy.constants import mu_0
class BaseMagSurvey(Survey.BaseSurvey):
"""Base Magnetics Survey"""
rxLoc = None #: receiver locations
rx_type = 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 LinearSurvey(Survey.BaseSurvey):
"""Base Magnetics Survey"""
rx_type = None #: receiver type
def __init__(self, srcField, **kwargs):
self.srcField = srcField
Survey.BaseSurvey.__init__(self, **kwargs)
def eval(self, u):
return u
@property
def nD(self):
return len(self.rxLoc)
@property
def nRx(self):
return self.srcField.rxList[0].locs.shape[0]
@property
def rxLoc(self):
return self.srcField.rxList[0].locs
class SrcField(Survey.BaseSrc):
""" Define the inducing field """
param = None #: Inducing field param (Amp, Incl, Decl)
def __init__(self, rxList, **kwargs):
super(SrcField, self).__init__(rxList, **kwargs)
class RxObs(Survey.BaseRx):
"""A station location must have be located in 3-D"""
def __init__(self, locsXYZ, **kwargs):
locs = locsXYZ
assert locsXYZ.shape[1] == 3, 'locs must in 3-D (x,y,z).'
super(RxObs, self).__init__(locs, 'tmi',
storeProjections=False, **kwargs)
@property
def nD(self):
"""Number of data in the receiver."""
return self.locs[0].shape[0]
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, nP, weight, **kwargs):
Maps.IdentityMap.__init__(self, nP)
self.mesh = None
self.weight = weight
def _transform(self, m):
return m * self.weight
def deriv(self, m):
return Utils.sdiag(self.weight)