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simpeg/simpegMT/Tests/test_Problem3D_againstAnalytic.py
T

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Python

# Test functions
from glob import glob
import numpy as np, sys, os, time, scipy, subprocess
import simpegMT as simpegmt, SimPEG as simpeg
import unittest
import SimPEG as simpeg
import simpegMT as simpegmt
from SimPEG.Utils import meshTensor
TOLr = 5e-2
def getInputs():
"""
Function that returns Mesh, freqs, rx_loc, elev.
"""
# Make a mesh
# M = simpeg.Mesh.TensorMesh([[(100,5,-1.5),(100.,10),(100,5,1.5)],[(100,5,-1.5),(100.,10),(100,5,1.5)],[(100,5,1.6),(100.,10),(100,3,2)]], x0=['C','C',-3529.5360])
M = simpeg.Mesh.TensorMesh([[(1000,6,-1.5),(1000.,6),(1000,6,1.5)],[(1000,6,-1.5),(1000.,2),(1000,6,1.5)],[(1000,10,-1.3),(1000.,2),(1000,10,1.3)]], x0=['C','C','C'])# Setup the model
# Set the frequencies
freqs = np.logspace(3,-3,7)
elev = 0
## Setup the the survey object
# Receiver locations
rx_x, rx_y = np.meshgrid(np.arange(-3000,3001,500),np.arange(-1000,1001,500))
rx_loc = np.array([[0, 0, 0]]) #np.hstack((simpeg.Utils.mkvc(rx_x,2),simpeg.Utils.mkvc(rx_y,2),elev+np.zeros((np.prod(rx_x.shape),1))))
return M, freqs, rx_loc, elev
def halfSpace(conds):
M, freqs, rx_loc, elev = getInputs()
# Model
ccM = M.gridCC
# conds = [1e-2]
groundInd = ccM[:,2] < elev
sig = np.zeros(M.nC) + 1e-8
sig[groundInd] = conds
# Set the background, not the same as the model
sigBG = np.zeros(M.nC) + 1e-8
sigBG[groundInd] = conds
return (M, freqs, sig, sigBG, rx_loc)
def twoLayer():
M, freqs, rx_loc, elev = getInputs()
# Model
ccM = M.gridCC
conds = [1e-2,1]
groundInd = ccM[:,2] < elev
botInd = ccM[:,2] < -3000
sig = np.zeros(M.nC) + 1e-8
sig[groundInd] = conds[1]
sig[botInd] = conds[0]
# Set the background, not the same as the model
sigBG = np.zeros(M.nC) + 1e-8
sigBG[groundInd] = conds[1]
return (M, freqs, sig, sigBG, rx_loc)
def runSimpegMTfwd_eForm_ps(inputsProblem):
M,freqs,sig,sigBG,rx_loc = inputsProblem
# Make a receiver list
rxList = []
for rxType in ['zxyr','zxyi','zyxr','zyxi']:
rxList.append(simpegmt.SurveyMT.RxMT(rx_loc,rxType))
# Source list
srcList =[]
sigma1d = M.r(sigBG,'CC','CC','M')[0,0,:]
for freq in freqs:
srcList.append(simpegmt.SurveyMT.srcMT_polxy_1Dprimary(rxList,freq,sigma1d))
# Survey MT
survey = simpegmt.SurveyMT.SurveyMT(srcList)
## Setup the problem object
problem = simpegmt.ProblemMT3D.eForm_ps(M)
problem.verbose = False
from pymatsolver import MumpsSolver
problem.Solver = MumpsSolver
problem.pair(survey)
fields = problem.fields(sig)
mtData = survey.projectFields(fields)
return (survey, problem, fields, mtData)
def getAppResPhs(MTdata):
# 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
recData = MTdata.toRecArray('Complex')
return appResPhs(recData['freq'],recData['zxy']), appResPhs(recData['freq'],recData['zyx'])
def appResPhsHalfspace_eFrom_ps_Norm(sigmaHalf,appR=True):
# Make the survey
survey, problem, fields, data = runSimpegMTfwd_eForm_ps(halfSpace(sigmaHalf))
# Calculate the app phs
app_rpxy, app_rpyx = np.array(getAppResPhs(data))
if appR:
return np.linalg.norm(np.abs(app_rpxy[0,:] - np.ones(survey.nFreq)/sigmaHalf) * sigmaHalf)
else:
return np.linalg.norm(np.abs(app_rpxy[1,:] + np.ones(survey.nFreq)*135) / 135)
class TestAnalytics(unittest.TestCase):
def setUp(self):
pass
def test_appRes2en1(self):self.assertLess(appResPhsHalfspace_eFrom_ps_Norm(2e-1), TOLr)
def test_appRes2en2(self):self.assertLess(appResPhsHalfspace_eFrom_ps_Norm(2e-2), TOLr)
def test_appRes2en3(self):self.assertLess(appResPhsHalfspace_eFrom_ps_Norm(2e-3), TOLr)
def test_appRes2en1(self):self.assertLess(appResPhsHalfspace_eFrom_ps_Norm(2e-1,False), TOLr)
def test_appRes2en2(self):self.assertLess(appResPhsHalfspace_eFrom_ps_Norm(2e-2,False), TOLr)
def test_appRes2en3(self):self.assertLess(appResPhsHalfspace_eFrom_ps_Norm(2e-3,False), TOLr)
if __name__ == '__main__':
unittest.main()