SimPEG.electromagnetics.static.spontaneous_potential.HydraulicHeadMap

class SimPEG.electromagnetics.static.spontaneous_potential.HydraulicHeadMap(mesh, L)

Bases: LinearMap

Maps hydraulic head to charge density accumulation rate.

Parameters:

meshdiscretize.base.BaseMesh

Lfloat or (mesh.n_cells,) array_like

Cross coupling property model (A/m^2).

Notes

This map relates hydraulic head, $h$, in m to the volumetric current density, $q$, (A/m^3) using a cross coupling term to convert the negative gradient of hydrualic head into secondary current densities. This cross coupling parameter $L$ is a multiplication of the hydraulic conductivity (m/s) of the material and the ionic density (C/m^3) of the fluid.

The mapping is:

$$q=\mathrm{\nabla }\cdot L\mathrm{\nabla }h$$