def homo1DModelSource(mesh, freq, m_back):
'''
Function that calculates and return background fields for a 3D mesh and model.
The calculuations use 1D field solution for a vertical slice throught model (south-western most column),
which is assigned at the fields everywhere for the respective polarizations.2
:param Simpeg mesh object mesh: Holds information on the discretization
:param float freq: The frequency to solve at
:param np.array m_back: Background model of conductivity to base the calculations on.
:rtype: numpy.ndarray (mesh.nE,2)
:return: eBG_bp, E fields for the background model at both polarizations.
'''
# import
from simpegMT.Utils import get1DEfields
# Get a 1d solution for a halfspace background
mesh1d = simpeg.Mesh.TensorMesh([mesh.hz], np.array([mesh.x0[2]]))
# Note: Everything is using e^iwt
e0_1d = get1DEfields(mesh1d,
mesh.r(m_back, 'CC', 'CC', 'M')[0, 0, :], freq)
# 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 homo1DModelSource(mesh,freq,m_back):
'''
Function that calculates and return background fields for a 3D mesh and model.
The calculuations use 1D field solution for a vertical slice throught model (south-western most column),
which is assigned at the fields everywhere for the respective polarizations.2
:param Simpeg mesh object mesh: Holds information on the discretization
:param float freq: The frequency to solve at
:param np.array m_back: Background model of conductivity to base the calculations on.
:rtype: numpy.ndarray (mesh.nE,2)
:return: eBG_bp, E fields for the background model at both polarizations.
'''
# import
from simpegMT.Utils import get1DEfields
# Get a 1d solution for a halfspace background
mesh1d = simpeg.Mesh.TensorMesh([mesh.hz],np.array([mesh.x0[2]]))
# Note: Everything is using e^iwt
e0_1d = get1DEfields(mesh1d,mesh.r(m_back,'CC','CC','M')[0,0,:],freq)
# 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 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 simpegMT.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 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 simpegMT.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
