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arXiv · 2409.15972

Analysis of a dislocation model for earthquakes

Jing Liu·Xin Yang Lu·Noel J Walkington
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Abstract

Approximation of problems in linear elasticity having small shear modulus in a thin region is considered. Problems of this type arise when modeling ground motion due to earthquakes where rupture occurs in a thin fault. It is shown that, under appropriate scaling, solutions of these problems can be approximated by solutions of a limit problem where the fault region is represented by a surface. In a numerical context this eliminates the need to resolve the large deformations in the fault; a numerical example is presented to illustrate efficacy of this strategy.

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Jing Liu, Xin Yang Lu, Noel J Walkington. 2024-09-24. Analysis of a dislocation model for earthquakes. https://arxiv.org/abs/2409.15972

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