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228 lines
7.6 KiB
Python
228 lines
7.6 KiB
Python
from SimPEG import Survey, Utils, Problem, np, sp, mkvc
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from scipy.constants import mu_0
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import sys
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from numpy.lib import recfunctions as recFunc
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from DataMT import DataMT
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#################
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### Receivers ###
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#################
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class RxMT(Survey.BaseRx):
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knownRxTypes = {
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# 3D impedance
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'zxxr':['Z3D', 'real'],
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'zxyr':['Z3D', 'real'],
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'zyxr':['Z3D', 'real'],
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'zyyr':['Z3D', 'real'],
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'zxxi':['Z3D', 'imag'],
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'zxyi':['Z3D', 'imag'],
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'zyxi':['Z3D', 'imag'],
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'zyyi':['Z3D', 'imag'],
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# 2D impedance
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# TODO:
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# 1D impedance
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'z1dr':['Z1D', 'real'],
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'z1di':['Z1D', 'imag']
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#TODO: Add tipper fractions as well. Bz/B(x|y)
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# 'exi':['e', 'Ex', 'imag'],
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# 'eyi':['e', 'Ey', 'imag'],
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# 'ezi':['e', 'Ez', 'imag'],
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# 'bxr':['b', 'Fx', 'real'],
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# 'byr':['b', 'Fy', 'real'],
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# 'bzr':['b', 'Fz', 'real'],
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# 'bxi':['b', 'Fx', 'imag'],
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# 'byi':['b', 'Fy', 'imag'],
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# 'bzi':['b', 'Fz', 'imag'],
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}
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# TODO: Have locs as single or double coordinates for both or numerator and denominator separately, respectively.
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def __init__(self, locs, rxType):
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Survey.BaseRx.__init__(self, locs, rxType)
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@property
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def projField(self):
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"""
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Field Type projection (e.g. e b ...)
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:param str fracPos: Position of the field in the data ratio
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"""
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if 'numerator' in fracPos:
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return self.knownRxTypes[self.rxType][0][0]
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elif 'denominator' in fracPos:
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return self.knownRxTypes[self.rxType][1][0]
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else:
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raise Exception('{s} is an unknown option. Use numerator or denominator.')
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@property
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def projGLoc(self):
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"""
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Grid Location projection (e.g. Ex Fy ...)
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:param str fracPos: Position of the field in the data ratio
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"""
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if 'numerator' in fracPos:
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return self.knownRxTypes[self.rxType][0][1]
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elif 'denominator' in fracPos:
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return self.knownRxTypes[self.rxType][0][1]
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else:
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raise Exception('{s} is an unknown option. Use numerator or denominator.')
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@property
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def projType(self):
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"""
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Receiver type for projection.
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"""
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return self.knownRxTypes[self.rxType][0]
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@property
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def projComp(self):
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"""Component projection (real/imag)"""
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return self.knownRxTypes[self.rxType][1]
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def projectFields(self, src, mesh, u):
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'''
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Project the fields and return the
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'''
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if self.projType is 'Z1D':
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Pex = mesh.getInterpolationMat(self.locs,'Fx')
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Pbx = mesh.getInterpolationMat(self.locs,'Ex')
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ex = Pex*mkvc(u[src,'e_1d'],2)
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bx = Pbx*mkvc(u[src,'b_1d'],2)/mu_0
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f_part_complex = ex/bx
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elif self.projType is 'Z3D':
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# Get the projection
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Pex = mesh.getInterpolationMat(self.locs,'Ex')
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Pey = mesh.getInterpolationMat(self.locs,'Ey')
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Pbx = mesh.getInterpolationMat(self.locs,'Fx')
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Pby = mesh.getInterpolationMat(self.locs,'Fy')
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# Get the fields at location
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# px: x-polaration and py: y-polaration.
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ex_px = Pex*u[src,'e_px']
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ey_px = Pey*u[src,'e_px']
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ex_py = Pex*u[src,'e_py']
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ey_py = Pey*u[src,'e_py']
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hx_px = Pbx*u[src,'b_px']/mu_0
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hy_px = Pby*u[src,'b_px']/mu_0
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hx_py = Pbx*u[src,'b_py']/mu_0
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hy_py = Pby*u[src,'b_py']/mu_0
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# Make the complex data
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if 'zxx' in self.rxType:
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f_part_complex = (ex_px*hy_py - ex_py*hy_px)/(hx_px*hy_py - hx_py*hy_px)
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elif 'zxy' in self.rxType:
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f_part_complex = (-ex_px*hx_py + ex_py*hx_px)/(hx_px*hy_py - hx_py*hy_px)
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elif 'zyx' in self.rxType:
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f_part_complex = (ey_px*hy_py - ey_py*hy_px)/(hx_px*hy_py - hx_py*hy_px)
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elif 'zyy' in self.rxType:
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f_part_complex = (-ey_px*hx_py + ey_py*hx_px)/(hx_px*hy_py - hx_py*hy_px)
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else:
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NotImplementedError('Projection of {:s} receiver type is not implemented.'.format(self.rxType))
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# Get the real or imag component
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real_or_imag = self.projComp
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f_part = getattr(f_part_complex, real_or_imag)
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return f_part
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def projectFieldsDeriv(self, src, mesh, u, v, adjoint=False):
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P = self.getP(mesh)
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if not adjoint:
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Pv_complex = P * v
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real_or_imag = self.projComp
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Pv = getattr(Pv_complex, real_or_imag)
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elif adjoint:
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Pv_real = P.T * v
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real_or_imag = self.projComp
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if real_or_imag == 'imag':
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Pv = 1j*Pv_real
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elif real_or_imag == 'real':
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Pv = Pv_real.astype(complex)
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else:
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raise NotImplementedError('must be real or imag')
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return Pv
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# Note: Might need to add tests to make sure that both polarization have the same rxList.
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###############
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### Sources ###
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###############
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class srcMT(Survey.BaseSrc):
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'''
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Sources for the MT problem.
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Use the SimPEG BaseSrc, since the source fields share properties with the transmitters.
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:param float freq: The frequency of the source
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:param list rxList: A list of receivers associated with the source
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:param str srcPol: The polarization of the source
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'''
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freq = None #: Frequency (float)
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rxPair = RxMT
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knownSrcTypes = ['pol_xy','pol_x','pol_y'] # ORThogonal POLarization
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def __init__(self, freq, rxList, srcPol = 'pol_xy'): # remove rxType? hardcode to one thing. always polarizations
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self.freq = float(freq)
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Survey.BaseSrc.__init__(self, None, srcPol, rxList)
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##############
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### Survey ###
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##############
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class SurveyMT(Survey.BaseSurvey):
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"""
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Survey class for MT. Contains all the sources associated with the survey.
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:param list srcList: List of sources associated with the survey
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"""
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srcPair = srcMT
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def __init__(self, srcList, **kwargs):
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# Sort these by frequency
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self.srcList = srcList
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Survey.BaseSurvey.__init__(self, **kwargs)
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_freqDict = {}
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for src in srcList:
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if src.freq not in _freqDict:
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_freqDict[src.freq] = []
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_freqDict[src.freq] += [src]
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self._freqDict = _freqDict
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self._freqs = sorted([f for f in self._freqDict])
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@property
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def freqs(self):
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"""Frequencies"""
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return self._freqs
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@property
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def nFreq(self):
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"""Number of frequencies"""
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return len(self._freqDict)
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# TODO: Rename to getSources
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def getSources(self, freq):
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"""Returns the sources associated with a specific frequency."""
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assert freq in self._freqDict, "The requested frequency is not in this survey."
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return self._freqDict[freq]
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def projectFields(self, u):
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data = DataMT(self)
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for src in self.srcList:
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print 'Project at freq: {:.3e}'.format(src.freq)
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sys.stdout.flush()
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for rx in src.rxList:
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data[src, rx] = rx.projectFields(src, self.mesh, u)
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return data
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def projectFieldsDeriv(self, u):
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raise Exception('Use Transmitters to project fields deriv.')
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