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The Mogi [1958] model allows to calculate analytic solution for surface deformation due to a point source in an elastic half-space. This model is widely used to simulate ground deformation produced by local perturbation like volcanic magma chamber. It computes displacements, tilt and strain in a polar space, due to a volume variation at depth [Anderson, 1936] or an isotropic pressure variation in a spherical source [Mogi, 1958].
The proposed Matlab script is a literal transcription of Mogi's simple equations, extended to non-isotropic medium (Poisson's ratio different from 0.25). All parameters can be vectorized. See help for syntax, and script comments for details.
Cite As
François Beauducel (2026). Mogi: point source of dilatation in elastic half-space (https://www.mathworks.com/matlabcentral/fileexchange/25943-mogi-point-source-of-dilatation-in-elastic-half-space), MATLAB Central File Exchange. Retrieved .
General Information
- Version 1.3.0.1 (3.6 KB)
MATLAB Release Compatibility
- Compatible with any release
Platform Compatibility
- Windows
- macOS
- Linux
| Version | Published | Release Notes | Action |
|---|---|---|---|
| 1.3.0.1 | - improves documentation
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| 1.3.0.0 | Bug correction: radial strain value (optional er output argument) was wrong... Now corrected. |
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| 1.2.0.0 | IMPORTANT: corrects an error when specifying elastic parameters E and nu.
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| 1.1.0.0 | Possibility to specify a Poisson's ratio different from 0.25 for non-isotropic medium. Previous input parameters are still allowed. |
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| 1.0.0.0 |
