Files
simpeg/tests/mt/test_Problem1D_againstAnalyticHalfspace.py
T
Lindsey Heagy bcda60815e - rx.projectFields --> rx.eval
- rx.projectFieldsDeriv --> rx.evalDeriv
2016-02-21 15:31:02 -08:00

163 lines
4.9 KiB
Python

import unittest
import SimPEG as simpeg
from SimPEG import MT
from SimPEG.Utils import meshTensor
import numpy as np
# Define the tolerances
TOLr = 5e-2
TOLp = 5e-2
def setupSurvey(sigmaHalf,tD=True):
# Frequency
nFreq = 33
freqs = np.logspace(3,-3,nFreq)
# Make the mesh
ct = 5
air = meshTensor([(ct,25,1.3)])
# coreT0 = meshTensor([(ct,15,1.2)])
# coreT1 = np.kron(meshTensor([(coreT0[-1],15,1.3)]),np.ones((7,)))
core = np.concatenate( ( np.kron(meshTensor([(ct,15,-1.2)]),np.ones((10,))) , meshTensor([(ct,20)]) ) )
bot = meshTensor([(core[0],10,-1.3)])
x0 = -np.array([np.sum(np.concatenate((core,bot)))])
m1d = simpeg.Mesh.TensorMesh([np.concatenate((bot,core,air))], x0=x0)
# Make the model
sigma = np.zeros(m1d.nC) + sigmaHalf
sigma[m1d.gridCC > 0 ] = 1e-8
rxList = []
for rxType in ['z1dr','z1di']:
rxList.append(MT.Rx(simpeg.mkvc(np.array([0.0]),2).T,rxType))
# Source list
srcList =[]
if tD:
for freq in freqs:
srcList.append(MT.SrcMT.polxy_1DhomotD(rxList,freq))
else:
for freq in freqs:
srcList.append(MT.SrcMT.polxy_1Dprimary(rxList,freq))
survey = MT.Survey(srcList)
return survey, sigma, m1d
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
zList = []
for src in MTdata.survey.srcList:
zc = [src.freq]
for rx in src.rxList:
if 'i' in rx.rxType:
m=1j
else:
m = 1
zc.append(m*MTdata[src,rx])
zList.append(zc)
return [appResPhs(zList[i][0],np.sum(zList[i][1:3])) for i in np.arange(len(zList))]
def appRes_TotalFieldNorm(sigmaHalf):
# Make the survey
survey, sigma, mesh = setupSurvey(sigmaHalf)
problem = MT.Problem1D.eForm_TotalField(mesh)
problem.pair(survey)
# Get the fields
fields = problem.fields(sigma)
# Project the data
data = survey.eval(fields)
# Calculate the app res and phs
app_r = np.array(getAppResPhs(data))[:,0]
return np.linalg.norm(np.abs(app_r - np.ones(survey.nFreq)/sigmaHalf)*sigmaHalf)
def appPhs_TotalFieldNorm(sigmaHalf):
# Make the survey
survey, sigma, mesh = setupSurvey(sigmaHalf)
problem = MT.Problem1D.eForm_TotalField(mesh)
problem.pair(survey)
# Get the fields
fields = problem.fields(sigma)
# Project the data
data = survey.eval(fields)
# Calculate the app phs
app_p = np.array(getAppResPhs(data))[:,1]
return np.linalg.norm(np.abs(app_p - np.ones(survey.nFreq)*45)/ 45)
def appRes_psFieldNorm(sigmaHalf):
# Make the survey
survey, sigma, mesh = setupSurvey(sigmaHalf,False)
problem = MT.Problem1D.eForm_psField(mesh, sigmaPrimary = sigma)
problem.pair(survey)
# Get the fields
fields = problem.fields(sigma)
# Project the data
data = survey.eval(fields)
# Calculate the app res and phs
app_r = np.array(getAppResPhs(data))[:,0]
return np.linalg.norm(np.abs(app_r - np.ones(survey.nFreq)/sigmaHalf)*sigmaHalf)
def appPhs_psFieldNorm(sigmaHalf):
# Make the survey
survey, sigma, mesh = setupSurvey(sigmaHalf,False)
problem = MT.Problem1D.eForm_psField(mesh, sigmaPrimary = sigma)
problem.pair(survey)
# Get the fields
fields = problem.fields(sigma)
# Project the data
data = survey.eval(fields)
# Calculate the app phs
app_p = np.array(getAppResPhs(data))[:,1]
return np.linalg.norm(np.abs(app_p - np.ones(survey.nFreq)*45)/ 45)
class TestAnalytics(unittest.TestCase):
def setUp(self):
pass
# Total Fields
# def test_appRes2en1(self):self.assertLess(appRes_TotalFieldNorm(2e-1), TOLr)
# def test_appPhs2en1(self):self.assertLess(appPhs_TotalFieldNorm(2e-1), TOLp)
# def test_appRes2en2(self):self.assertLess(appRes_TotalFieldNorm(2e-2), TOLr)
# def test_appPhs2en2(self):self.assertLess(appPhs_TotalFieldNorm(2e-2), TOLp)
# def test_appRes2en3(self):self.assertLess(appRes_TotalFieldNorm(2e-3), TOLr)
# def test_appPhs2en3(self):self.assertLess(appPhs_TotalFieldNorm(2e-3), TOLp)
# def test_appRes2en4(self):self.assertLess(appRes_TotalFieldNorm(2e-4), TOLr)
# def test_appPhs2en4(self):self.assertLess(appPhs_TotalFieldNorm(2e-4), TOLp)
# def test_appRes2en5(self):self.assertLess(appRes_TotalFieldNorm(2e-5), TOLr)
# def test_appPhs2en5(self):self.assertLess(appPhs_TotalFieldNorm(2e-5), TOLp)
# def test_appRes2en6(self):self.assertLess(appRes_TotalFieldNorm(2e-6), TOLr)
# def test_appPhs2en6(self):self.assertLess(appPhs_TotalFieldNorm(2e-6), TOLp)
# Primary/secondary
def test_appRes2en2_ps(self):self.assertLess(appRes_psFieldNorm(2e-2), TOLr)
def test_appPhs2en2_ps(self):self.assertLess(appPhs_psFieldNorm(2e-2), TOLp)
if __name__ == '__main__':
unittest.main()