simpeg.maps.IdentityMap#
- class simpeg.maps.IdentityMap(mesh=None, nP=None, **kwargs)[source]#
Bases:
object
Identity mapping and the base mapping class for all other SimPEG mappings.
The
IdentityMap
class is used to define the mapping when the model parameters are the same as the parameters used in the forward simulation. For a discrete set of model parameters \(\mathbf{m}\), the mapping \(\mathbf{u}(\mathbf{m})\) is equivalent to applying the identity matrix; i.e.:\[\mathbf{u}(\mathbf{m}) = \mathbf{Im}\]The
IdentityMap
also acts as the base class for all other SimPEG mapping classes.Using the mesh or nP input arguments, the dimensions of the corresponding mapping operator can be permanently set; i.e. (mesh.nC, mesh.nC) or (nP, nP). However if both input arguments mesh and nP are
None
, the shape of mapping operator is arbitrary and can act on any vector; i.e. has shape (*
,*
).- Parameters:
- mesh
discretize.BaseMesh
The number of parameters accepted by the mapping is set to equal the number of mesh cells.
- nP
int
,or
‘*’ Set the number of parameters accepted by the mapping directly. Used if the number of parameters is known. Used generally when the number of parameters is not equal to the number of cells in a mesh.
- mesh
Attributes
Determine whether or not this mapping is a linear operation.
The mesh used for the mapping
Number of parameters the mapping acts on.
Dimensions of the mapping operator
Methods
deriv
(m[, v])Derivative of the mapping with respect to the input parameters.
dot
(map1)Multiply two mappings to create a
simpeg.maps.ComboMap
.inverse
(D)The transform inverse is not implemented.
test
([m, num, random_seed])Derivative test for the mapping.
Galleries and Tutorials using simpeg.maps.IdentityMap
#
Maps: Parametric Block in a Layer
PF: Gravity: Tiled Inversion Linear
Magnetic inversion on a TreeMesh
Magnetic inversion on a TreeMesh
Magnetic Amplitude inversion on a TreeMesh
3D DC inversion of Dipole Dipole array
Parametric DC inversion with Dipole Dipole array
2D inversion of Loop-Loop EM Data
Time-domain CSEM for a resistive cube in a deep marine setting
EM: TDEM: Permeable Target, Inductive Source
EM: TDEM: 1D: Inversion with VTEM waveform
Predict Response from a Conductive and Magnetically Viscous Earth
Method of Equivalent Sources for Removing VRM Responses
FLOW: Richards: 1D: Forward Simulation
Petrophysically guided inversion (PGI): Linear example
Petrophysically guided inversion: Joint linear example with nonlinear relationships
Heagy et al., 2017 1D RESOLVE and SkyTEM Bookpurnong Inversions
Heagy et al., 2017 1D RESOLVE Bookpurnong Inversion
Effective Medium Theory Mapping
Heagy et al., 2017 Casing Example
Heagy et al., 2017 1D FDEM and TDEM inversions
PF: Gravity: Laguna del Maule Bouguer Gravity
EM: Schenkel and Morrison Casing Model
Straight Ray with Volume Data Misfit Term
Forward Simulation of Total Magnetic Intensity Data
Forward Simulation of Gradiometry Data for Magnetic Vector Models
Sparse Norm Inversion for Total Magnetic Intensity Data on a Tensor Mesh
Cross-gradient Joint Inversion of Gravity and Magnetic Anomaly Data
Joint PGI of Gravity + Magnetic on an Octree mesh using full petrophysical information
Joint PGI of Gravity + Magnetic on an Octree mesh without petrophysical information
Forward Simulation for Straight Ray Tomography in 2D
Sparse Norm Inversion of 2D Seismic Tomography Data
Linear Least-Squares Inversion
Sparse Inversion with Iteratively Re-Weighted Least-Squares
1D Forward Simulation for a Single Sounding
1D Forward Simulation with Chargeable and/or Magnetic Viscosity
1D Forward Simulation with User-Defined Waveforms
3D Forward Simulation for Transient Response on a Cylindrical Mesh
3D Forward Simulation with User-Defined Waveforms
1D Inversion of Time-Domain Data for a Single Sounding
Simulate a 1D Sounding over a Layered Earth
DC Resistivity Forward Simulation in 2.5D
DC Resistivity Forward Simulation in 3D
Least-Squares 1D Inversion of Sounding Data
Sparse 1D Inversion of Sounding Data
Parametric 1D Inversion of Sounding Data
2.5D DC Resistivity Least-Squares Inversion
2.5D DC Resistivity Inversion with Sparse Norms
3D Least-Squares Inversion of DC Resistivity Data
2.5D Forward Simulation of a DCIP Line
DC/IP Forward Simulation in 3D
2.5D DC Resistivity and IP Least-Squares Inversion
3D Least-Squares Inversion of DC and IP Data
Forward Simulation of Gravity Anomaly Data on a Tensor Mesh
Forward Simulation of Gradiometry Data on a Tree Mesh
Least-Squares Inversion of Gravity Anomaly Data
Sparse Norm Inversion of Gravity Anomaly Data
Forward Simulation of VRM Response on a Tree Mesh
Forward Simulation Including Inductive Response
1D Forward Simulation for a Single Sounding
1D Forward Simulation for a Susceptible and Chargeable Earth
3D Forward Simulation on a Cylindrical Mesh
3D Forward Simulation on a Tree Mesh
1D Inversion of for a Single Sounding