SimPEG.electromagnetics.time_domain.Simulation3DCurrentDensity#

class SimPEG.electromagnetics.time_domain.Simulation3DCurrentDensity(mesh, survey=None, dt_threshold=1e-08, **kwargs)[source]#

Bases: BaseTDEMSimulation

Solve the H-J formulation for current density

In this case, we eliminate \(\partial \mathbf{h} / \partial t\) and solve for \(\mathbf{j}\)

Attributes

Mcc

Cell center inner product matrix.

MccMu

Cell center property inner product matrix.

MccMuI

Cell center property inner product inverse matrix.

MccMui

Cell center property inner product matrix.

MccMuiI

Cell center property inner product inverse matrix.

MccRho

Cell center property inner product matrix.

MccRhoI

Cell center property inner product inverse matrix.

MccSigma

Cell center property inner product matrix.

MccSigmaI

Cell center property inner product inverse matrix.

Me

Edge inner product matrix.

MeI

Edge inner product inverse matrix.

MeMu

Edge property inner product matrix.

MeMuI

Edge property inner product inverse matrix.

MeMui

Edge property inner product matrix.

MeMuiI

Edge property inner product inverse matrix.

MeRho

Edge property inner product matrix.

MeRhoI

Edge property inner product inverse matrix.

MeSigma

Edge property inner product matrix.

MeSigmaI

Edge property inner product inverse matrix.

Mf

Face inner product matrix.

MfI

Face inner product inverse matrix.

MfMu

Face property inner product matrix.

MfMuI

Face property inner product inverse matrix.

MfMui

Face property inner product matrix.

MfMuiI

Face property inner product inverse matrix.

MfRho

Face property inner product matrix.

MfRhoI

Face property inner product inverse matrix.

MfSigma

Face property inner product matrix.

MfSigmaI

Face property inner product inverse matrix.

Mn

Node inner product matrix.

MnI

Node inner product inverse matrix.

MnMu

Node property inner product matrix.

MnMuI

Node property inner product inverse matrix.

MnMui

Node property inner product matrix.

MnMuiI

Node property inner product inverse matrix.

MnRho

Node property inner product matrix.

MnRhoI

Node property inner product inverse matrix.

MnSigma

Node property inner product matrix.

MnSigmaI

Node property inner product inverse matrix.

clean_on_model_update

A list of solver objects to clean when the model is updated

counter

SimPEG Counter object to store iterations and run-times.

deleteTheseOnModelUpdate

matrices to be deleted if the model for conductivity/resistivity is updated

dt_threshold

The threshold used to determine if a previous matrix factor can be reused.

mesh

Mesh for the simulation.

model

The inversion model.

mu

Magnetic permeability (h/m) physical property model.

muDeriv

Derivative of Magnetic Permeability (H/m) wrt the model.

muMap

Mapping of the inversion model to Magnetic Permeability (H/m).

mui

Inverse magnetic permeability (m/h) physical property model.

muiDeriv

Derivative of Inverse Magnetic Permeability (m/H) wrt the model.

muiMap

Mapping of the inversion model to Inverse Magnetic Permeability (m/H).

nT

Total number of time steps.

needs_model

True if a model is necessary

rho

Electrical resistivity (ohm m) physical property model.

rhoDeriv

Derivative of Electrical resistivity (Ohm m) wrt the model.

rhoMap

Mapping of the inversion model to Electrical resistivity (Ohm m).

sensitivity_path

Path to directory where sensitivity file is stored.

sigma

Electrical conductivity (s/m) physical property model.

sigmaDeriv

Derivative of Electrical conductivity (S/m) wrt the model.

sigmaMap

Mapping of the inversion model to Electrical conductivity (S/m).

solver

Numerical solver used in the forward simulation.

solver_opts

Solver-specific parameters.

storeInnerProduct

Whether to store inner product matrices

survey

The survey for the simulation Returns ------- SimPEG.electromagnetics.time_domain.survey.Survey

t0

Initial time, in seconds, for the time-dependent forward simulation.

time_mesh

Time mesh for easy interpolation to observation times.

time_steps

Time step lengths, in seconds, for the time domain simulation.

times

Evaluation times.

verbose

Verbose progress printout.

Adcinv

MccI

Vol

Methods

Fields_Derivs

alias of FieldsDerivativesHJ

Jtvec(m, v[, f])

Jvec computes the adjoint of the sensitivity times a vector

Jtvec_approx(m, v[, f])

Approximation of the Jacobian transpose times a vector for the model provided.

Jvec(m, v[, f])

Jvec computes the sensitivity times a vector

Jvec_approx(m, v[, f])

Approximation of the Jacobian times a vector for the model provided.

MccMuDeriv(u[, v, adjoint])

Derivative of MccProperty with respect to the model.

MccMuIDeriv(u[, v, adjoint])

Derivative of MccPropertyI with respect to the model.

MccMuiDeriv(u[, v, adjoint])

Derivative of MccProperty with respect to the model.

MccMuiIDeriv(u[, v, adjoint])

Derivative of MccPropertyI with respect to the model.

MccRhoDeriv(u[, v, adjoint])

Derivative of MccProperty with respect to the model.

MccRhoIDeriv(u[, v, adjoint])

Derivative of MccPropertyI with respect to the model.

MccSigmaDeriv(u[, v, adjoint])

Derivative of MccProperty with respect to the model.

MccSigmaIDeriv(u[, v, adjoint])

Derivative of MccPropertyI with respect to the model.

MeMuDeriv(u[, v, adjoint])

Derivative of MeProperty with respect to the model.

MeMuIDeriv(u[, v, adjoint])

Derivative of MePropertyI with respect to the model.

MeMuiDeriv(u[, v, adjoint])

Derivative of MeProperty with respect to the model.

MeMuiIDeriv(u[, v, adjoint])

Derivative of MePropertyI with respect to the model.

MeRhoDeriv(u[, v, adjoint])

Derivative of MeProperty with respect to the model.

MeRhoIDeriv(u[, v, adjoint])

Derivative of MePropertyI with respect to the model.

MeSigmaDeriv(u[, v, adjoint])

Derivative of MeProperty with respect to the model.

MeSigmaIDeriv(u[, v, adjoint])

Derivative of MePropertyI with respect to the model.

MfMuDeriv(u[, v, adjoint])

Derivative of MfProperty with respect to the model.

MfMuIDeriv(u[, v, adjoint])

I Derivative of MfPropertyI with respect to the model.

MfMuiDeriv(u[, v, adjoint])

Derivative of MfProperty with respect to the model.

MfMuiIDeriv(u[, v, adjoint])

I Derivative of MfPropertyI with respect to the model.

MfRhoDeriv(u[, v, adjoint])

Derivative of MfProperty with respect to the model.

MfRhoIDeriv(u[, v, adjoint])

I Derivative of MfPropertyI with respect to the model.

MfSigmaDeriv(u[, v, adjoint])

Derivative of MfProperty with respect to the model.

MfSigmaIDeriv(u[, v, adjoint])

I Derivative of MfPropertyI with respect to the model.

MnMuDeriv(u[, v, adjoint])

Derivative of MnProperty with respect to the model.

MnMuIDeriv(u[, v, adjoint])

Derivative of MnPropertyI with respect to the model.

MnMuiDeriv(u[, v, adjoint])

Derivative of MnProperty with respect to the model.

MnMuiIDeriv(u[, v, adjoint])

Derivative of MnPropertyI with respect to the model.

MnRhoDeriv(u[, v, adjoint])

Derivative of MnProperty with respect to the model.

MnRhoIDeriv(u[, v, adjoint])

Derivative of MnPropertyI with respect to the model.

MnSigmaDeriv(u[, v, adjoint])

Derivative of MnProperty with respect to the model.

MnSigmaIDeriv(u[, v, adjoint])

Derivative of MnPropertyI with respect to the model.

dpred([m, f])

Predicted data for the model provided.

fields(m)

Solve the forward problem for the fields.

fieldsPair

alias of Fields3DCurrentDensity

getAdiag(tInd)

System matrix at a given time index

getInitialFields()

Ask the sources for initial fields

getSourceTerm(tInd)

Assemble the source term.

make_synthetic_data(m[, relative_error, ...])

Make synthetic data for the model and Gaussian noise provided.

residual(m, dobs[, f])

The data residual.

getAdc

getAdcDeriv

getAdiagDeriv

getAsubdiag

getAsubdiagDeriv

getInitialFieldsDeriv

getRHS

getRHSDeriv