SimPEG.electromagnetics.natural_source.Simulation3DPrimarySecondary

class SimPEG.electromagnetics.natural_source.Simulation3DPrimarySecondary(mesh, survey=None, sigmaPrimary=None, **kwargs)

Bases: SimPEG.electromagnetics.frequency_domain.simulation.Simulation3DElectricField

A NSEM problem solving a e formulation and a primary/secondary fields decompostion.

By eliminating the magnetic flux density using

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

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

$$[{\mathbf{C}}^{\mathrm{\top }}{\mathbf{M}}_{{\mu }^{\mathbf{-}\mathbf{1}}}^{\mathbf{f}}\mathbf{C}+i\omega {\mathbf{M}}_{\sigma }^{\mathbf{e}}]{\mathbf{e}}_s=i\omega {\mathbf{M}}_{{\sigma }_{\mathbf{p}}}^{\mathbf{e}}{\mathbf{e}}_p$$

which we solve for ${\mathbf{e}}_{\mathbf{s}}$. The total field $\mathbf{e}={\mathbf{e}}_{\mathbf{p}}+{\mathbf{e}}_{\mathbf{s}}$.

The primary field is estimated from a background model (commonly as a 1D model).

Attributes

sigmaPrimary

A background model, use for the calculation of the primary fields.

Galleries and Tutorials using SimPEG.electromagnetics.natural_source.Simulation3DPrimarySecondary

MT: 3D: Forward

MT: 3D: Forward