SimPEG.electromagnetics.frequency_domain.Simulation3DElectricField

class SimPEG.electromagnetics.frequency_domain.Simulation3DElectricField(mesh, survey=None, forward_only=False, **kwargs)

Bases: SimPEG.electromagnetics.frequency_domain.simulation.BaseFDEMSimulation

By eliminating the magnetic flux density using

$$\mathbf{b}=\frac{1}{i\omega }(-\mathbf{C}\mathbf{e}+{\mathbf{s}}_{\mathbf{m}})$$

we can write Maxwell’s equations as a second order system in $\mathbf{e}$ only:

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

which we solve for $\mathbf{e}$.

Parameters

mesh (discretize.base.BaseMesh) – mesh

Methods

fieldsPair	alias of SimPEG.electromagnetics.frequency_domain.fields.Fields3DElectricField
getA(freq)	System matrix
getADeriv_mui(freq, u, v[, adjoint])	Product of the derivative of the system matrix with respect to the permeability model and a vector.
getADeriv_sigma(freq, u, v[, adjoint])	Product of the derivative of our system matrix with respect to the conductivity model and a vector
getRHS(freq)	Right hand side for the system
getRHSDeriv(freq, src, v[, adjoint])	Derivative of the Right-hand side with respect to the model.

getADeriv

Galleries and Tutorials using SimPEG.electromagnetics.frequency_domain.Simulation3DElectricField

MT: 3D: Forward

MT: 3D: Forward

Heagy et al., 2017 Casing Example

Heagy et al., 2017 Casing Example