Abstract
A high-resolution finite volume method approach to incorporating time-dependent slip across rectangular subfaults when modeling general fault geometry is presented. The fault slip is induced by a modification of the Riemann problem to the linear elasticity equations across cell interfaces aligned with the subfaults. This is illustrated in the context of the high-resolution wave-propagation algorithms that are implemented in the open source Clawpack software (www.clawpack.org), but this approach could be easily incorporated into other Riemann solver based numerical methods. Surface deformation results are obtained in both two and three dimensions and compared to those given by the steady-state, homogeneous half-space Okada solution.
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Notes
See www.clawpack.org/okada.html.
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Acknowledgements
The authors are grateful to Grady Lemoine for discussions of this work, in particular those involving the modification of the Riemann problems to incorporate fault slip.
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Supported in part by the Gordon and Betty Moore Foundation and by NSF Grants DMS-1216732, DMS-1304081, and EAR-133141.
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Vogl, C.J., LeVeque, R.J. A High-Resolution Finite Volume Seismic Model to Generate Seafloor Deformation for Tsunami Modeling. J Sci Comput 73, 1204–1215 (2017). https://doi.org/10.1007/s10915-017-0459-y
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DOI: https://doi.org/10.1007/s10915-017-0459-y