SimPEG.electromagnetics.frequency_domain.simulation.BaseFDEMSimulation

class SimPEG.electromagnetics.frequency_domain.simulation.BaseFDEMSimulation(mesh, survey=None, forward_only=False, permittivity=None, **kwargs)

Bases: BaseEMSimulation

We start by looking at Maxwell’s equations in the electric field ($\mathbf{e}$) and the magnetic flux density ($\mathbf{b}$)

$$\mathbf{C}\mathbf{e}+i\omega \mathbf{b}={\mathbf{s}}_{\mathbf{m}}{\mathbf{C}}^{\mathrm{\top }}{\mathbf{M}}_{{\mu }^{\mathbf{-}\mathbf{1}}}^{\mathbf{f}}\mathbf{b}-{\mathbf{M}}_{\sigma }^{\mathbf{e}}\mathbf{e}={\mathbf{s}}_{\mathbf{e}}$$

if using the E-B formulation (Simulation3DElectricField or Simulation3DMagneticFluxDensity). Note that in this case, ${\mathbf{s}}_{\mathbf{e}}$ is an integrated quantity.

If we write Maxwell’s equations in terms of $\mathbf{h}$ and current density $\mathbf{j}$.

$${\mathbf{C}}^{\mathrm{\top }}{\mathbf{M}}_{\rho }^{\mathbf{f}}\mathbf{j}+i\omega {\mathbf{M}}_{\mu }^{\mathbf{e}}\mathbf{h}={\mathbf{s}}_{\mathbf{m}}\mathbf{C}\mathbf{h}-\mathbf{j}={\mathbf{s}}_{\mathbf{e}}$$

if using the H-J formulation (Simulation3DCurrentDensity or Simulation3DMagneticField). Note that here, ${\mathbf{s}}_{\mathbf{m}}$ is an integrated quantity.

The problem performs the elimination so that we are solving the system for $mathbfe$, $mathbfb$, $mathbfj$ or $mathbfh$.

Attributes

forward_only	If True, A-inverse not stored at each frequency in forward simulation.
permittivity	Dielectric permittivity (F/m)
survey	The simulations survey.

Methods

Jtvec(m, v[, f])	Sensitivity transpose times a vector
Jvec(m, v[, f])	Sensitivity times a vector.
fields([m])	Solve the forward problem for the fields.
fieldsPair	alias of FieldsFDEM
getSourceTerm(freq)	Evaluates the sources for a given frequency and puts them in matrix form

Galleries and Tutorials using SimPEG.electromagnetics.frequency_domain.simulation.BaseFDEMSimulation

2D inversion of Loop-Loop EM Data

2D inversion of Loop-Loop EM Data

MT: 3D: Forward

MT: 3D: Forward

Heagy et al., 2017 1D RESOLVE and SkyTEM Bookpurnong Inversions

Heagy et al., 2017 1D RESOLVE and SkyTEM Bookpurnong Inversions

Heagy et al., 2017 1D RESOLVE Bookpurnong Inversion

Heagy et al., 2017 1D RESOLVE Bookpurnong Inversion

Heagy et al., 2017 Casing Example

Heagy et al., 2017 Casing Example

Heagy et al., 2017 1D FDEM and TDEM inversions

Heagy et al., 2017 1D FDEM and TDEM inversions

EM: Schenkel and Morrison Casing Model

EM: Schenkel and Morrison Casing Model

3D Forward Simulation on a Cylindrical Mesh

3D Forward Simulation on a Cylindrical Mesh

3D Forward Simulation on a Tree Mesh

3D Forward Simulation on a Tree Mesh