Mogi: point source of dilatation in elastic half-space

version (3.6 KB) by François Beauducel
Computes surface displacements, tilt and strain due to point source of dilatation at depth


Updated 15 Sep 2019

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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 (2022). Mogi: point source of dilatation in elastic half-space (, MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R11.1
Compatible with any release
Platform Compatibility
Windows macOS Linux

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