Analysis of a dislocation model for earthquakes
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866910618297040896 |
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| author | Liu, Jing Lu, Xin Yang Walkington, Noel J |
| author_facet | Liu, Jing Lu, Xin Yang Walkington, Noel J |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_15972 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Analysis of a dislocation model for earthquakes Liu, Jing Lu, Xin Yang Walkington, Noel J Numerical Analysis 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. |
| title | Analysis of a dislocation model for earthquakes |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2409.15972 |