SimPEG.electromagnetics.natural_source.Simulation3DPrimarySecondary#
- class SimPEG.electromagnetics.natural_source.Simulation3DPrimarySecondary(mesh, survey=None, sigmaPrimary=None, **kwargs)[source]#
Bases:
SimPEG.electromagnetics.frequency_domain.simulation.Simulation3DElectricFieldA NSEM problem solving a e formulation and a primary/secondary fields decompostion.
By eliminating the magnetic flux density using
\[\mathbf{b} = \frac{1}{i \omega}\left(-\mathbf{C} \mathbf{e} \right)\]we can write Maxwell’s equations as a second order system in \(\mathbf{e}\) only:
\[\left[\mathbf{C}^{\top} \mathbf{M_{\mu^{-1}}^f} \mathbf{C} + i \omega \mathbf{M_{\sigma}^e} \right] \mathbf{e}_{s} = i \omega \mathbf{M_{\sigma_{p}}^e} \mathbf{e}_{p}\]which we solve for \(\mathbf{e_s}\). The total field \(\mathbf{e} = \mathbf{e_p} + \mathbf{e_s}\).
The primary field is estimated from a background model (commonly as a 1D model).
Attributes
A background model, use for the calculation of the primary fields.
