mirror of
https://github.com/wassname/simpeg.git
synced 2026-06-27 19:48:52 +08:00
GudniRos
179 lines
7.4 KiB
Python
179 lines
7.4 KiB
Python
import SimPEG as simpeg, numpy as np
|
|
|
|
def homo1DModelSource(mesh,freq,sigma_1d):
|
|
'''
|
|
Function that calculates and return background fields
|
|
|
|
:param Simpeg mesh object mesh: Holds information on the discretization
|
|
:param float freq: The frequency to solve at
|
|
:param np.array sigma_1d: Background model of conductivity to base the calculations on, 1d model.
|
|
:rtype: numpy.ndarray (mesh.nE,2)
|
|
:return: eBG_bp, E fields for the background model at both polarizations.
|
|
|
|
'''
|
|
# import
|
|
from SimPEG.MT.Utils import get1DEfields
|
|
# Get a 1d solution for a halfspace background
|
|
if mesh.dim == 1:
|
|
mesh1d = mesh
|
|
elif mesh.dim == 2:
|
|
mesh1d = simpeg.Mesh.TensorMesh([mesh.hy],np.array([mesh.x0[1]]))
|
|
elif mesh.dim == 3:
|
|
mesh1d = simpeg.Mesh.TensorMesh([mesh.hz],np.array([mesh.x0[2]]))
|
|
|
|
# # Note: Everything is using e^iwt
|
|
e0_1d = get1DEfields(mesh1d,sigma_1d,freq)
|
|
if mesh.dim == 1:
|
|
eBG_px = simpeg.mkvc(e0_1d,2)
|
|
eBG_py = -simpeg.mkvc(e0_1d,2) # added a minus to make the results in the correct quadrents.
|
|
elif mesh.dim == 2:
|
|
ex_px = np.zeros(mesh.vnEx,dtype=complex)
|
|
ey_px = np.zeros((mesh.nEy,1),dtype=complex)
|
|
for i in np.arange(mesh.vnEx[0]):
|
|
ex_px[i,:] = -e0_1d
|
|
eBG_px = np.vstack((simpeg.Utils.mkvc(ex_px,2),ey_px))
|
|
# Setup y (north) polarization (_py)
|
|
ex_py = np.zeros((mesh.nEx,1), dtype='complex128')
|
|
ey_py = np.zeros(mesh.vnEy, dtype='complex128')
|
|
# Assign the source to ey_py
|
|
for i in np.arange(mesh.vnEy[0]):
|
|
ey_py[i,:] = e0_1d
|
|
# ey_py[1:-1,1:-1,1:-1] = 0
|
|
eBG_py = np.vstack((ex_py,simpeg.Utils.mkvc(ey_py,2),ez_py))
|
|
elif mesh.dim == 3:
|
|
# Setup x (east) polarization (_x)
|
|
ex_px = np.zeros(mesh.vnEx,dtype=complex)
|
|
ey_px = np.zeros((mesh.nEy,1),dtype=complex)
|
|
ez_px = np.zeros((mesh.nEz,1),dtype=complex)
|
|
# Assign the source to ex_x
|
|
for i in np.arange(mesh.vnEx[0]):
|
|
for j in np.arange(mesh.vnEx[1]):
|
|
ex_px[i,j,:] = -e0_1d
|
|
eBG_px = np.vstack((simpeg.Utils.mkvc(ex_px,2),ey_px,ez_px))
|
|
# Setup y (north) polarization (_py)
|
|
ex_py = np.zeros((mesh.nEx,1), dtype='complex128')
|
|
ey_py = np.zeros(mesh.vnEy, dtype='complex128')
|
|
ez_py = np.zeros((mesh.nEz,1), dtype='complex128')
|
|
# Assign the source to ey_py
|
|
for i in np.arange(mesh.vnEy[0]):
|
|
for j in np.arange(mesh.vnEy[1]):
|
|
ey_py[i,j,:] = e0_1d
|
|
# ey_py[1:-1,1:-1,1:-1] = 0
|
|
eBG_py = np.vstack((ex_py,simpeg.Utils.mkvc(ey_py,2),ez_py))
|
|
|
|
# Return the electric fields
|
|
eBG_bp = np.hstack((eBG_px,eBG_py))
|
|
return eBG_bp
|
|
|
|
def analytic1DModelSource(mesh,freq,sigma_1d):
|
|
'''
|
|
Function that calculates and return background fields
|
|
|
|
:param Simpeg mesh object mesh: Holds information on the discretization
|
|
:param float freq: The frequency to solve at
|
|
:param np.array sigma_1d: Background model of conductivity to base the calculations on, 1d model.
|
|
:rtype: numpy.ndarray (mesh.nE,2)
|
|
:return: eBG_bp, E fields for the background model at both polarizations.
|
|
|
|
'''
|
|
# import
|
|
from SimPEG.MT.Utils import getEHfields
|
|
# Get a 1d solution for a halfspace background
|
|
if mesh.dim == 1:
|
|
mesh1d = mesh
|
|
elif mesh.dim == 2:
|
|
mesh1d = simpeg.Mesh.TensorMesh([mesh.hy],np.array([mesh.x0[1]]))
|
|
elif mesh.dim == 3:
|
|
mesh1d = simpeg.Mesh.TensorMesh([mesh.hz],np.array([mesh.x0[2]]))
|
|
|
|
# # Note: Everything is using e^iwt
|
|
Eu, Ed, _, _ = getEHfields(mesh1d,sigma_1d,freq,mesh.vectorNz)
|
|
# Make the fields into a dictionary of location and the fields
|
|
e0_1d = Eu+Ed
|
|
E1dFieldDict = dict(zip(mesh.vectorNz,e0_1d))
|
|
if mesh.dim == 1:
|
|
eBG_px = simpeg.mkvc(e0_1d,2)
|
|
eBG_py = -simpeg.mkvc(e0_1d,2) # added a minus to make the results in the correct quadrents.
|
|
elif mesh.dim == 2:
|
|
ex_px = np.zeros(mesh.vnEx,dtype=complex)
|
|
ey_px = np.zeros((mesh.nEy,1),dtype=complex)
|
|
for i in np.arange(mesh.vnEx[0]):
|
|
ex_px[i,:] = -e0_1d
|
|
eBG_px = np.vstack((simpeg.Utils.mkvc(ex_px,2),ey_px))
|
|
# Setup y (north) polarization (_py)
|
|
ex_py = np.zeros((mesh.nEx,1), dtype='complex128')
|
|
ey_py = np.zeros(mesh.vnEy, dtype='complex128')
|
|
# Assign the source to ey_py
|
|
for i in np.arange(mesh.vnEy[0]):
|
|
ey_py[i,:] = e0_1d
|
|
# ey_py[1:-1,1:-1,1:-1] = 0
|
|
eBG_py = np.vstack((ex_py,simpeg.Utils.mkvc(ey_py,2),ez_py))
|
|
elif mesh.dim == 3:
|
|
# Setup x (east) polarization (_x)
|
|
ex_px = -np.array([E1dFieldDict[i] for i in mesh.gridEx[:,2]]).reshape(-1,1)
|
|
ey_px = np.zeros((mesh.nEy,1),dtype=complex)
|
|
ez_px = np.zeros((mesh.nEz,1),dtype=complex)
|
|
# Construct the full fields
|
|
eBG_px = np.vstack((ex_px,ey_px,ez_px))
|
|
# Setup y (north) polarization (_py)
|
|
ex_py = np.zeros((mesh.nEx,1), dtype='complex128')
|
|
ey_py = np.array([E1dFieldDict[i] for i in mesh.gridEy[:,2]]).reshape(-1,1)
|
|
ez_py = np.zeros((mesh.nEz,1), dtype='complex128')
|
|
# Construct the full fields
|
|
eBG_py = np.vstack((ex_py,simpeg.Utils.mkvc(ey_py,2),ez_py))
|
|
|
|
# Return the electric fields
|
|
eBG_bp = np.hstack((eBG_px,eBG_py))
|
|
return eBG_bp
|
|
|
|
# def homo3DModelSource(mesh,model,freq):
|
|
# '''
|
|
# Function that estimates 1D analytic background fields from a 3D model.
|
|
|
|
# :param Simpeg mesh object mesh: Holds information on the discretization
|
|
# :param float freq: The frequency to solve at
|
|
# :param np.array sigma_1d: Background model of conductivity to base the calculations on, 1d model.
|
|
# :rtype: numpy.ndarray (mesh.nE,2)
|
|
# :return: eBG_bp, E fields for the background model at both polarizations.
|
|
|
|
# '''
|
|
|
|
# if mesh.dim < 3:
|
|
# raise IOError('Input mesh has to have 3 dimensions.')
|
|
|
|
|
|
# # Get the locations
|
|
# a = mesh.gridCC[:,0:2].copy()
|
|
# unixy = np.unique(a.view(a.dtype.descr * a.shape[1])).view(float).reshape(-1,2)
|
|
# uniz = np.unique(mesh.gridCC[:,2])
|
|
# # # Note: Everything is using e^iwt
|
|
# # Need to loop thourgh the xy locations, assess the model and calculate the fields at the phusdo cell centers.
|
|
# # Then interpolate the cc fields to the edges.
|
|
|
|
# e0_1d = get1DEfields(mesh1d,sigma_1d,freq)
|
|
|
|
# elif mesh.dim == 3:
|
|
# # Setup x (east) polarization (_x)
|
|
# ex_px = np.zeros(mesh.vnEx,dtype=complex)
|
|
# ey_px = np.zeros((mesh.nEy,1),dtype=complex)
|
|
# ez_px = np.zeros((mesh.nEz,1),dtype=complex)
|
|
# # Assign the source to ex_x
|
|
# for i in np.arange(mesh.vnEx[0]):
|
|
# for j in np.arange(mesh.vnEx[1]):
|
|
# ex_px[i,j,:] = -e0_1d
|
|
# eBG_px = np.vstack((simpeg.Utils.mkvc(ex_px,2),ey_px,ez_px))
|
|
# # Setup y (north) polarization (_py)
|
|
# ex_py = np.zeros((mesh.nEx,1), dtype='complex128')
|
|
# ey_py = np.zeros(mesh.vnEy, dtype='complex128')
|
|
# ez_py = np.zeros((mesh.nEz,1), dtype='complex128')
|
|
# # Assign the source to ey_py
|
|
# for i in np.arange(mesh.vnEy[0]):
|
|
# for j in np.arange(mesh.vnEy[1]):
|
|
# ey_py[i,j,:] = e0_1d
|
|
# # ey_py[1:-1,1:-1,1:-1] = 0
|
|
# eBG_py = np.vstack((ex_py,simpeg.Utils.mkvc(ey_py,2),ez_py))
|
|
|
|
# # Return the electric fields
|
|
# eBG_bp = np.hstack((eBG_px,eBG_py))
|
|
# return eBG_bp
|