Analysis of a dislocation model for earthquakes

2024/09/24 by Jing Liu, Xin Lü, Liu, Jing +3
Engineering · #FOS: Mathematics #Numerical Analysis (math.NA) #Rock Mechanics and Modeling

paper · pdf · doi:10.48550/arxiv.2409.15972

openalex publication_date 2024/09/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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