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simpeg/tests/mt/forward/test_Problem1D_AnalyticVsNumeric.py
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2016-06-01 20:53:12 -07:00

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Python

import unittest
import SimPEG as simpeg
from SimPEG import NSEM
from SimPEG.Utils import meshTensor
import numpy as np
# Define the tolerances
TOLr = 5e-2
TOLp = 5e-2
def getAppResPhs(NSEMdata):
# Make impedance
def appResPhs(freq,z):
app_res = ((1./(8e-7*np.pi**2))/freq)*np.abs(z)**2
app_phs = np.arctan2(z.imag,z.real)*(180/np.pi)
return app_res, app_phs
zList = []
for src in NSEMdata.survey.srcList:
zc = [src.freq]
for rx in src.rxList:
if 'i' in rx.rxType:
m=1j
else:
m = 1
zc.append(m*NSEMdata[src,rx])
zList.append(zc)
return [appResPhs(zList[i][0],np.sum(zList[i][1:3])) for i in np.arange(len(zList))]
def calculateAnalyticSolution(srcList,mesh,model):
surveyAna = NSEM.Survey(srcList)
data1D = NSEM.Data(surveyAna)
for src in surveyAna.srcList:
elev = src.rxList[0].locs[0]
anaEd, anaEu, anaHd, anaHu = NSEM.Utils.MT1Danalytic.getEHfields(mesh,model,src.freq,elev)
anaE = anaEd+anaEu
anaH = anaHd+anaHu
# Scale the solution
# anaE = (anaEtemp/anaEtemp[-1])#.conj()
# anaH = (anaHtemp/anaEtemp[-1])#.conj()
anaZ = anaE/anaH
for rx in src.rxList:
data1D[src,rx] = getattr(anaZ, rx.projComp)
return data1D
def dataMis_AnalyticTotalDomain(sigmaHalf):
# Make the survey
# Total domain solution
surveyTD, sigma, mesh = NSEM.Utils.testUtils.setup1DSurvey(sigmaHalf)
problemTD = NSEM.Problem1D_eTotal(mesh) # This not fully implemented
problemTD.pair(surveyTD)
# Analytic data
dataAnaObj = calculateAnalyticSolution(surveyTD.srcList,mesh,sigma)
# dataTDObj = NSEM.DataNSEM.DataNSEM(surveyTD, surveyTD.dpred(sigma))
dataTD = surveyTD.dpred(sigma)
dataAna = simpeg.mkvc(dataAnaObj)
return np.all((dataTD - dataAna)/dataAna < 2.)
# surveyTD.dtrue = -simpeg.mkvc(dataAna,2)
# surveyTD.dobs = -simpeg.mkvc(dataAna,2)
# surveyTD.Wd = np.ones(surveyTD.dtrue.shape) #/(np.abs(surveyTD.dtrue)*0.01)
# # Setup the data misfit
# dmis = simpeg.DataMisfit.l2_DataMisfit(surveyTD)
# dmis.Wd = surveyTD.Wd
# return dmis.eval(sigma)
def dataMis_AnalyticPrimarySecondary(sigmaHalf):
# Make the survey
# Primary secondary
survey, sigma, mesh = NSEM.Utils.testUtils.setup1DSurvey(sigmaHalf,False,structure=True)
# Analytic data
problem = NSEM.Problem1D_ePrimSec(mesh, sigmaPrimary = sigma)
problem.pair(survey)
dataAnaObj = calculateAnalyticSolution(survey.srcList,mesh,sigma)
data = survey.dpred(sigma)
dataAna = simpeg.mkvc(dataAnaObj)
return np.all((data - dataAna)/dataAna < 2.)
class TestNumericVsAnalytics(unittest.TestCase):
def setUp(self):
pass
# Total Fields
# def test_appRes2en2(self):self.assertTrue(dataMis_AnalyticTotalDomain(2e-2))
# Primary/secondary
def test_appRes2en2_ps(self):self.assertTrue(dataMis_AnalyticPrimarySecondary(2e-2))
if __name__ == '__main__':
unittest.main()