Files
simpeg/SimPEG/DCIP/BaseDC.py
T
2016-02-05 15:09:52 -08:00

852 lines
24 KiB
Python

from SimPEG import *
class FieldsDC_CC(Problem.Fields):
knownFields = {'phi_sol':'CC'}
aliasFields = {
'phi' : ['phi_sol','CC','_phi'],
'e' : ['phi_sol','F','_e'],
'j' : ['phi_sol','F','_j']
}
def __init__(self,mesh,survey,**kwargs):
super(FieldsDC_CC, self).__init__(mesh, survey, **kwargs)
def startup(self):
self._cellGrad = self.survey.prob.mesh.cellGrad
self._Mfinv = self.survey.prob.mesh.getFaceInnerProduct(invMat=True)
def _phi(self, phi_sol, srcList):
phi = phi_sol
# for i, src in enumerate(srcList):
# phi_p = src.phi_p(self.survey.prob)
# if phi_p is not None:
# phi[:,i] += phi_p
return phi
def _e(self, phi_sol, srcList):
e = -self._cellGrad*phi_sol
# for i, src in enumerate(srcList):
# e_p = src.e_p(self.survey.prob)
# if e_p is not None:
# e[:,i] += e_p
return e
def _j(self, phi_sol, srcList):
j = -self._Mfinv*self.survey.prob.Msig*self._cellGrad*phi_sol
# for i, src in enumerate(srcList):
# j_p = src.j_p(self.survey.prob)
# if j_p is not None:
# j[:,i] += j_p
return j
class SrcDipole(Survey.BaseSrc):
"""A dipole source, locA and locB are moved to the closest cell-centers"""
current = 1
loc = None
# _rhsDict = None
def __init__(self, rxList, locA, locB, **kwargs):
self.loc = (locA, locB)
super(SrcDipole, self).__init__(rxList, **kwargs)
def eval(self, prob):
# Recompute rhs
# if getattr(self, '_rhsDict', None) is None:
# self._rhsDict = {}
# if mesh not in self._rhsDict:
pts = [self.loc[0], self.loc[1]]
inds = Utils.closestPoints(prob.mesh, pts)
q = np.zeros(prob.mesh.nC)
q[inds] = - self.current * ( np.r_[1., -1.] / prob.mesh.vol[inds] )
# self._rhsDict[mesh] = q
# return self._rhsDict[mesh]
return q
class RxDipole(Survey.BaseRx):
"""A dipole source, locA and locB are moved to the closest cell-centers"""
def __init__(self, locsM, locsN, **kwargs):
locs = (locsM, locsN)
assert locsM.shape == locsN.shape, 'locs must be the same shape.'
super(RxDipole, self).__init__(locs, 'dipole', storeProjections=False, **kwargs)
@property
def nD(self):
"""Number of data in the receiver."""
return self.locs[0].shape[0]
def getP(self, mesh):
P0 = mesh.getInterpolationMat(self.locs[0], self.projGLoc)
P1 = mesh.getInterpolationMat(self.locs[1], self.projGLoc)
return P0 - P1
class SurveyDC(Survey.BaseSurvey):
"""
**SurveyDC**
Geophysical DC resistivity data.
"""
def __init__(self, srcList, **kwargs):
self.srcList = srcList
Survey.BaseSurvey.__init__(self, **kwargs)
# self._rhsDict = {}
self._Ps = {}
def projectFields(self, u):
"""
Predicted data.
.. math::
d_\\text{pred} = Pu(m)
"""
P = self.getP(self.prob.mesh)
return P*mkvc(u[self.srcList, 'phi_sol'])
def getP(self, mesh):
if mesh in self._Ps:
return self._Ps[mesh]
P_src = [sp.vstack([rx.getP(mesh) for rx in src.rxList]) for src in self.srcList]
self._Ps[mesh] = sp.block_diag(P_src)
return self._Ps[mesh]
class ProblemDC_CC(Problem.BaseProblem):
"""
**ProblemDC**
Geophysical DC resistivity problem.
"""
surveyPair = SurveyDC
Solver = Solver
fieldsPair = FieldsDC_CC
Ainv = None
def __init__(self, mesh, **kwargs):
Problem.BaseProblem.__init__(self, mesh)
self.mesh.setCellGradBC('neumann')
Utils.setKwargs(self, **kwargs)
deleteTheseOnModelUpdate = ['_A', '_Msig', '_dMdsig']
@property
def Msig(self):
if getattr(self, '_Msig', None) is None:
sigma = self.curModel.transform
Av = self.mesh.aveF2CC
self._Msig = Utils.sdiag(1/(self.mesh.dim * Av.T * (1/sigma)))
return self._Msig
@property
def dMdsig(self):
if getattr(self, '_dMdsig', None) is None:
sigma = self.curModel.transform
Av = self.mesh.aveF2CC
dMdprop = self.mesh.dim * Utils.sdiag(self.Msig.diagonal()**2) * Av.T * Utils.sdiag(1./sigma**2)
self._dMdsig = lambda Gu: Utils.sdiag(Gu) * dMdprop
return self._dMdsig
@property
def A(self):
"""
Makes the matrix A(m) for the DC resistivity problem.
:param numpy.array m: model
:rtype: scipy.csc_matrix
:return: A(m)
.. math::
c(m,u) = A(m)u - q = G\\text{sdiag}(M(mT(m)))Du - q = 0
Where M() is the mass matrix and mT is the model transform.
"""
if getattr(self, '_A', None) is None:
D = self.mesh.faceDiv
G = self.mesh.cellGrad
self._A = D*self.Msig*G
# Remove the null space from the matrix.
self._A[0,0] /= self.mesh.vol[0]
self._A = self._A.tocsc()
return self._A
def getRHS(self):
# if self.mesh not in self._rhsDict:
RHS = np.array([src.eval(self) for src in self.survey.srcList]).T
# self._rhsDict[mesh] = RHS
# return self._rhsDict[mesh]
return RHS
def fields(self, m):
F = self.fieldsPair(self.mesh, self.survey)
self.curModel = m
A = self.A
self.Ainv = self.Solver(A, **self.solverOpts)
RHS = self.getRHS()
Phi = self.Ainv * RHS
Srcs = self.survey.srcList
F[Srcs, 'phi_sol'] = Phi
return F
def Jvec(self, m, v, u=None):
"""
:param numpy.array m: model
:param numpy.array v: vector to multiply
:param numpy.array u: fields
:rtype: numpy.array
:return: Jv
.. math::
c(m,u) = A(m)u - q = G\\text{sdiag}(M(mT(m)))Du - q = 0
\\nabla_u (A(m)u - q) = A(m)
\\nabla_m (A(m)u - q) = G\\text{sdiag}(Du)\\nabla_m(M(mT(m)))
Where M() is the mass matrix and mT is the model transform.
.. math::
J = - P \left( \\nabla_u c(m, u) \\right)^{-1} \\nabla_m c(m, u)
J(v) = - P ( A(m)^{-1} ( G\\text{sdiag}(Du)\\nabla_m(M(mT(m))) v ) )
"""
# Set current model; clear dependent property $\mathbf{A(m)}$
self.curModel = m
sigma = self.curModel.transform # $\sigma = \mathcal{M}(\m)$
if u is None:
# Run forward simulation if $u$ not provided
u = self.fields(self.curModel)[self.survey.srcList, 'phi_sol']
else:
u = u[self.survey.srcList, 'phi_sol']
D = self.mesh.faceDiv
G = self.mesh.cellGrad
# Derivative of model transform, $\deriv{\sigma}{\m}$
dsigdm_x_v = self.curModel.transformDeriv * v
# Take derivative of $C(m,u)$ w.r.t. $m$
dCdm_x_v = np.empty_like(u)
# loop over fields for each source
for i in range(self.survey.nSrc):
# Derivative of inner product, $\left(\mathbf{M}_{1/\sigma}^f\right)^{-1}$
dAdsig = D * self.dMdsig( G * u[:,i] )
dCdm_x_v[:, i] = dAdsig * dsigdm_x_v
# Take derivative of $C(m,u)$ w.r.t. $u$
dA_du = self.A
# Solve for $\deriv{u}{m}$
# dCdu_inv = self.Solver(dCdu, **self.solverOpts)
if self.Ainv is None:
self.Ainv = self.Solver(dA_du, **self.solverOpts)
P = self.survey.getP(self.mesh)
Jv = - P * mkvc( self.Ainv * dCdm_x_v )
return Jv
def Jtvec(self, m, v, u=None):
self.curModel = m
sigma = self.curModel.transform # $\sigma = \mathcal{M}(\m)$
if u is None:
# Run forward simulation if $u$ not provided
u = self.fields(self.curModel)[self.survey.srcList, 'phi_sol']
else:
u = u[self.survey.srcList, 'phi_sol']
shp = u.shape
P = self.survey.getP(self.mesh)
PT_x_v = (P.T*v).reshape(shp, order='F')
D = self.mesh.faceDiv
G = self.mesh.cellGrad
dA_du = self.A
mT_dm = self.mapping.deriv(m)
# We probably always need this due to the linesearch .. (?)
self.Ainv = self.Solver(dA_du.T, **self.solverOpts)
# if self.Ainv is None:
# self.Ainv = self.Solver(dCdu, **self.solverOpts)
w = self.Ainv * PT_x_v
Jtv = 0
for i, ui in enumerate(u.T): # loop over each column
Jtv += self.dMdsig( G * ui ).T * ( D.T * w[:,i] )
Jtv = - mT_dm.T * ( Jtv )
return Jtv
def readUBC_DC2DModel(fileName):
from SimPEG import np, mkvc
"""
Read UBC GIF 2DTensor model and generate 2D Tensor model in simpeg
Input:
:param fileName, path to the UBC GIF 2D model file
Output:
:param SimPEG TensorMesh 2D object
:return
Created on Thu Nov 12 13:14:10 2015
@author: dominiquef
"""
# Open fileand skip header... assume that we know the mesh already
obsfile = np.genfromtxt(fileName,delimiter=' \n',dtype=np.str,comments='!')
dim = np.array(obsfile[0].split(),dtype=float)
temp = np.array(obsfile[1].split(),dtype=float)
if len(temp) > 1:
model = np.zeros(dim)
for ii in range(len(obsfile)-1):
mm = np.array(obsfile[ii+1].split(),dtype=float)
model[:,ii] = mm
model = model[:,::-1]
else:
if len(obsfile[1:])==1:
mm = np.array(obsfile[1:].split(),dtype=float)
else:
mm = np.array(obsfile[1:],dtype=float)
# Permute the second dimension to flip the order
model = mm.reshape(dim[1],dim[0])
model = model[::-1,:]
model = np.transpose(model, (1, 0))
model = mkvc(model)
return model
def plot_pseudoSection(Tx,Rx,data,z0, stype):
from SimPEG import np, mkvc
from scipy.interpolate import griddata
from matplotlib.colors import LogNorm
import pylab as plt
import re
"""
Read list of 2D tx-rx location and plot a speudo-section of apparent
resistivity.
Assumes flat topo for now...
Input:
:param d2D, z0
:switch stype -> Either 'pdp' (pole-dipole) | 'dpdp' (dipole-dipole)
Output:
:figure scatter plot overlayed on image
Created on Mon December 7th, 2015
@author: dominiquef
"""
#d2D = np.asarray(d2D)
midl = []
midz = []
rho = []
for ii in range(len(Tx)):
# Get distances between each poles
rC1P1 = np.abs(Tx[ii][0] - Rx[ii][:,0])
rC2P1 = np.abs(Tx[ii][1] - Rx[ii][:,0])
rC1P2 = np.abs(Tx[ii][1] - Rx[ii][:,1])
rC2P2 = np.abs(Tx[ii][0] - Rx[ii][:,1])
rP1P2 = np.abs(Rx[ii][:,1] - Rx[ii][:,0])
# Compute apparent resistivity
if re.match(stype,'pdp'):
rho = np.hstack([rho, data[ii] * 2*np.pi * rC1P1 * ( rC1P1 + rP1P2 ) / rP1P2] )
elif re.match(stype,'dpdp'):
rho = np.hstack([rho, data[ii] * 2*np.pi / ( 1/rC1P1 - 1/rC2P1 - 1/rC1P2 + 1/rC2P2 ) ])
Cmid = (Tx[ii][0] + Tx[ii][1])/2
Pmid = (Rx[ii][:,0] + Rx[ii][:,1])/2
midl = np.hstack([midl, ( Cmid + Pmid )/2 ])
midz = np.hstack([midz, -np.abs(Cmid-Pmid)/2 + z0 ])
# Grid points
grid_x, grid_z = np.mgrid[np.min(midl):np.max(midl), np.min(midz):np.max(midz)]
grid_rho = griddata(np.c_[midl,midz], np.log10(abs(1/rho.T)), (grid_x, grid_z), method='linear')
#plt.subplot(2,1,2)
plt.imshow(grid_rho.T, extent = (np.min(midl),np.max(midl),np.min(midz),np.max(midz)), origin='lower', alpha=0.8)
cbar = plt.colorbar(format = '%.2f',fraction=0.02)
cmin,cmax = cbar.get_clim()
ticks = np.linspace(cmin,cmax,3)
cbar.set_ticks(ticks)
# Plot apparent resistivity
plt.scatter(midl,midz,s=50,c=np.log10(abs(1/rho.T)))
def gen_DCIPsurvey(endl, mesh, stype, a, b, n):
from SimPEG import np
import re
"""
Load in endpoints and survey specifications to generate Tx, Rx location
stations.
Assumes flat topo for now...
Input:
:param endl -> input endpoints [x1, y1, z1, x2, y2, z2]
:object mesh -> SimPEG mesh object
:switch stype -> "dpdp" (dipole-dipole) | "pdp" (pole-dipole) | 'gradient'
: param a, n -> pole seperation, number of rx dipoles per tx
Output:
:param Tx, Rx -> List objects for each tx location
Lines: P1x, P1y, P1z, P2x, P2y, P2z
Created on Wed December 9th, 2015
@author: dominiquef
"""
def xy_2_r(x1,x2,y1,y2):
r = np.sqrt( np.sum((x2 - x1)**2 + (y2 - y1)**2) )
return r
## Evenly distribute electrodes and put on surface
# Mesure survey length and direction
dl_len = xy_2_r(endl[0,0],endl[1,0],endl[0,1],endl[1,1])
dl_x = ( endl[1,0] - endl[0,0] ) / dl_len
dl_y = ( endl[1,1] - endl[0,1] ) / dl_len
nstn = np.floor( dl_len / a )
# Compute discrete pole location along line
stn_x = endl[0,0] + np.array(range(int(nstn)))*dl_x*a
stn_y = endl[0,1] + np.array(range(int(nstn)))*dl_y*a
# Create line of P1 locations
M = np.c_[stn_x, stn_y, np.ones(nstn).T*mesh.vectorNz[-1]]
# Create line of P2 locations
N = np.c_[stn_x+a*dl_x, stn_y+a*dl_y, np.ones(nstn).T*mesh.vectorNz[-1]]
## Build list of Tx-Rx locations depending on survey type
# Dipole-dipole: Moving tx with [a] spacing -> [AB a MN1 a MN2 ... a MNn]
# Pole-dipole: Moving pole on one end -> [A a MN1 a MN2 ... MNn a B]
Tx = []
Rx = []
if not re.match(stype,'gradient'):
for ii in range(0, int(nstn)-1):
if re.match(stype,'dpdp'):
tx = np.c_[M[ii,:],N[ii,:]]
elif re.match(stype,'pdp'):
tx = np.c_[M[ii,:],M[ii,:]]
#Rx.append(np.c_[M[ii+1:indx,:],N[ii+1:indx,:]])
# Current elctrode seperation
AB = xy_2_r(tx[0,1],endl[1,0],tx[1,1],endl[1,1])
# Number of receivers to fit
nstn = np.min([np.floor( (AB - b) / a ) , n])
# Check if there is enough space, else break the loop
if nstn <= 0:
continue
# Compute discrete pole location along line
stn_x = N[ii,0] + dl_x*b + np.array(range(int(nstn)))*dl_x*a
stn_y = N[ii,1] + dl_y*b + np.array(range(int(nstn)))*dl_y*a
# Create receiver poles
# Create line of P1 locations
P1 = np.c_[stn_x, stn_y, np.ones(nstn).T*mesh.vectorNz[-1]]
# Create line of P2 locations
P2 = np.c_[stn_x+a*dl_x, stn_y+a*dl_y, np.ones(nstn).T*mesh.vectorNz[-1]]
Rx.append(np.c_[P1,P2])
Tx.append(tx)
#==============================================================================
# elif re.match(stype,'dpdp'):
#
# for ii in range(0, int(nstn)-2):
#
# indx = np.min([ii+n+1,nstn])
# Tx.append(np.c_[M[ii,:],N[ii,:]])
# Rx.append(np.c_[M[ii+2:indx,:],N[ii+2:indx,:]])
#==============================================================================
elif re.match(stype,'gradient'):
# Gradient survey only requires Tx at end of line and creates a square
# grid of receivers at in the middle at a pre-set minimum distance
Tx.append(np.c_[M[0,:],N[-1,:]])
# Get the edge limit of survey area
min_x = endl[0,0] + dl_x * b
min_y = endl[0,1] + dl_y * b
max_x = endl[1,0] - dl_x * b
max_y = endl[1,1] - dl_y * b
box_l = np.sqrt( (min_x - max_x)**2 + (min_y - max_y)**2 )
box_w = box_l/2.
nstn = np.floor( box_l / a )
# Compute discrete pole location along line
stn_x = min_x + np.array(range(int(nstn)))*dl_x*a
stn_y = min_y + np.array(range(int(nstn)))*dl_y*a
# Define number of cross lines
nlin = int(np.floor( box_w / a ))
lind = range(-nlin,nlin+1)
ngrad = nstn * len(lind)
rx = np.zeros([ngrad,6])
for ii in range( len(lind) ):
# Move line in perpendicular direction by dipole spacing
lxx = stn_x - lind[ii]*a*dl_y
lyy = stn_y + lind[ii]*a*dl_x
M = np.c_[ lxx, lyy , np.ones(nstn).T*mesh.vectorNz[-1]]
N = np.c_[ lxx+a*dl_x, lyy+a*dl_y, np.ones(nstn).T*mesh.vectorNz[-1]]
rx[(ii*nstn):((ii+1)*nstn),:] = np.c_[M,N]
Rx.append(rx)
else:
print """stype must be either 'pdp', 'dpdp' or 'gradient'. """
return Tx, Rx
def writeUBC_DCobs(fileName,Tx,Rx,d,wd, dtype):
from SimPEG import np, mkvc
import re
"""
Read UBC GIF DCIP 3D observation file and generate arrays for tx-rx location
Input:
:param fileName, path to the UBC GIF 3D obs file
Output:
:param rx, tx, d, wd
:return
Created on Mon December 7th, 2015
@author: dominiquef
"""
fid = open(fileName,'w')
fid.write('! GENERAL FORMAT\n')
for ii in range(len(Tx)):
tx = np.asarray(Tx[ii])
rx = np.asarray(Rx[ii])
nrx = rx.shape[0]
fid.write('\n')
if re.match(dtype,'2D'):
for jj in range(nrx):
fid.writelines("%e " % ii for ii in mkvc(tx))
fid.writelines("%e " % ii for ii in mkvc(rx[jj]))
fid.write('%e %e\n'% (d[ii][jj],wd[ii][jj]))
#np.savetxt(fid, np.c_[ rx ,np.asarray(d[ii]), np.asarray(wd[ii]) ], fmt='%e',delimiter=' ',newline='\n')
elif re.match(dtype,'3D'):
fid.write('\n')
fid.writelines("%e " % ii for ii in mkvc(tx))
fid.write('%i\n'% nrx)
np.savetxt(fid, np.c_[ rx ,np.asarray(d[ii]), np.asarray(wd[ii]) ], fmt='%e',delimiter=' ',newline='\n')
fid.close()
def convertObs_DC3D_to_2D(Tx,Rx):
from SimPEG import np
import numpy.matlib as npm
"""
Read list of 3D Tx Rx location and change coordinate system to distance
along line assuming all data is acquired along line
First transmitter pole is assumed to be at the origin
Assumes flat topo for now...
Input:
:param Tx, Rx
Output:
:figure Tx2d, Rx2d
Created on Mon December 7th, 2015
@author: dominiquef
"""
Tx2d = []
Rx2d = []
for ii in range(len(Tx)):
if ii == 0:
endp = Tx[0][0:2,0]
nrx = Rx[ii].shape[0]
rP1 = np.sqrt( np.sum( ( endp - Tx[ii][0:2,0] )**2 , axis=0))
rP2 = np.sqrt( np.sum( ( endp - Tx[ii][0:2,1] )**2 , axis=0))
rC1 = np.sqrt( np.sum( ( npm.repmat(endp.T,nrx,1) - Rx[ii][:,0:2] )**2 , axis=1))
rC2 = np.sqrt( np.sum( ( npm.repmat(endp.T,nrx,1) - Rx[ii][:,3:5] )**2 , axis=1))
Tx2d.append( np.r_[rP1, rP2] )
Rx2d.append( np.c_[rC1, rC2] )
#np.savetxt(fid, data, fmt='%e',delimiter=' ',newline='\n')
return Tx2d, Rx2d
def readUBC_DC3Dobs(fileName):
from SimPEG import np
"""
Read UBC GIF DCIP 3D observation file and generate arrays for tx-rx location
Input:
:param fileName, path to the UBC GIF 3D obs file
Output:
:param rx, tx, d, wd
:return
Created on Mon December 7th, 2015
@author: dominiquef
"""
# Load file
obsfile = np.genfromtxt(fileName,delimiter=' \n',dtype=np.str,comments='!')
# Pre-allocate
Tx = []
Rx = []
d = []
wd = []
# Countdown for number of obs/tx
count = 0
for ii in range(obsfile.shape[0]):
if not obsfile[ii]:
continue
# First line is transmitter with number of receivers
if count==0:
temp = (np.fromstring(obsfile[ii], dtype=float,sep=' ').T)
count = int(temp[-1])
temp = np.reshape(temp[0:-1],[2,3]).T
Tx.append(temp)
rx = []
continue
temp = np.fromstring(obsfile[ii], dtype=float,sep=' ')
rx.append(temp)
count = count -1
# Reach the end of
if count == 0:
temp = np.asarray(rx)
Rx.append(temp[:,0:6])
# Check for data + uncertainties
if temp.shape[1]==8:
d.append(temp[:,6])
wd.append(temp[:,7])
# Check for data only
elif temp.shape[1]==7:
d.append(temp[:,6])
return Tx, Rx, d, wd
def readUBC_DC2DLoc(fileName):
from SimPEG import np
"""
Read UBC GIF 2D observation file and generate arrays for tx-rx location
Input:
:param fileName, path to the UBC GIF 2D model file
Output:
:param rx, tx
:return
Created on Thu Nov 12 13:14:10 2015
@author: dominiquef
"""
# Open fileand skip header... assume that we know the mesh already
#==============================================================================
# fopen = open(fileName,'r')
# lines = fopen.readlines()
# fopen.close()
#==============================================================================
# Load file
obsfile = np.genfromtxt(fileName,delimiter=' \n',dtype=np.str,comments='!')
# Check first line and figure out if 2D or 3D file format
line = np.array(obsfile[0].split(),dtype=float)
tx_A = []
tx_B = []
rx_M = []
rx_N = []
d = []
wd = []
for ii in range(obsfile.shape[0]):
# If len==3, then simple format where tx-rx is listed on each line
if len(line) == 4:
temp = np.fromstring(obsfile[ii], dtype=float,sep=' ')
tx_A = np.hstack((tx_A,temp[0]))
tx_B = np.hstack((tx_B,temp[1]))
rx_M = np.hstack((rx_M,temp[2]))
rx_N = np.hstack((rx_N,temp[3]))
rx = np.transpose(np.array((rx_M,rx_N)))
tx = np.transpose(np.array((tx_A,tx_B)))
return tx, rx, d, wd
def readUBC_DC2DMesh(fileName):
from SimPEG import np
"""
Read UBC GIF 2DTensor mesh and generate 2D Tensor mesh in simpeg
Input:
:param fileName, path to the UBC GIF mesh file
Output:
:param SimPEG TensorMesh 2D object
:return
Created on Thu Nov 12 13:14:10 2015
@author: dominiquef
"""
# Open file
fopen = open(fileName,'r')
# Read down the file and unpack dx vector
def unpackdx(fid,nrows):
for ii in range(nrows):
line = fid.readline()
var = np.array(line.split(),dtype=float)
if ii==0:
x0= var[0]
xvec = np.ones(int(var[2])) * (var[1] - var[0]) / int(var[2])
xend = var[1]
else:
xvec = np.hstack((xvec,np.ones(int(var[1])) * (var[0] - xend) / int(var[1])))
xend = var[0]
return x0, xvec
#%% Start with dx block
# First line specifies the number of rows for x-cells
line = fopen.readline()
nl = np.array(line.split(),dtype=float)
[x0, dx] = unpackdx(fopen,nl)
#%% Move down the file until reaching the z-block
line = fopen.readline()
if not line:
line = fopen.readline()
#%% End with dz block
# First line specifies the number of rows for z-cells
line = fopen.readline()
nl = np.array(line.split(),dtype=float)
[z0, dz] = unpackdx(fopen,nl)
# Flip z0 to be the bottom of the mesh for SimPEG
z0 = z0 - sum(dz)
dz = dz[::-1]
#%% Make the mesh using SimPEG
from SimPEG import Mesh
tensMsh = Mesh.TensorMesh([dx,dz],(x0, z0))
return tensMsh