SimPEG.maps.InjectActiveCells#

class SimPEG.maps.InjectActiveCells(mesh, indActive=None, valInactive=0.0, nC=None)[source]#

Bases: SimPEG.maps.IdentityMap

Map active cells model to all cell of a mesh.

The InjectActiveCells class is used to define the mapping when the model consists of physical property values for a set of active mesh cells; e.g. cells below topography. For a discrete set of model parameters \(\mathbf{m}\) defined on a set of active cells, the mapping \(\mathbf{u}(\mathbf{m})\) is defined as:

\[\mathbf{u}(\mathbf{m}) = \mathbf{Pm} + \mathbf{d}\, m_\perp\]

where \(\mathbf{P}\) is a (nC , nP) projection matrix from active cells to all mesh cells, and \(\mathbf{d}\) is a (nC , 1) matrix that projects the inactive cell value \(m_\perp\) to all inactive mesh cells.

Parameters
meshdiscretize.BaseMesh

A discretize mesh

indActivenumpy.ndarray

Active cells array. Can be a boolean numpy.ndarray of length mesh.nC or a numpy.ndarray of int containing the indices of the active cells.

valInactivefloat or numpy.ndarray

The physical property value assigned to all inactive cells in the mesh

Attributes

indActive

Returns

nP

Number of parameters the model acts on.

shape

Dimensions of the mapping

valInactive

The physical property value assigned to all inactive cells in the mesh.

Methods

deriv(m[, v])

Derivative of the mapping with respect to the input parameters.

inverse(u)

Recover the model parameters (active cells) from a set of physical property values defined on the entire mesh.

Galleries and Tutorials using SimPEG.maps.InjectActiveCells#

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