Analysis of a dislocation model for earthquakes
Numerical Analysis
2024-09-25 v1 Numerical Analysis
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.
Cite
@article{arxiv.2409.15972,
title = {Analysis of a dislocation model for earthquakes},
author = {Jing Liu and Xin Yang Lu and Noel J Walkington},
journal= {arXiv preprint arXiv:2409.15972},
year = {2024}
}