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Dynamic non-planar crack rupture by a finite volume method

Mondher Ben Jemaa 1, 2 N. Glinsky-Olivier 1 V. M. Cruz-Atienza 2, 3 J. Virieux 2 Serge Piperno 1
1 CAIMAN - Scientific computing, modeling and numerical analysis
CRISAM - Inria Sophia Antipolis - Méditerranée , ENPC - École des Ponts ParisTech, CNRS - Centre National de la Recherche Scientifique : UMR6621
Abstract : Modelling dynamic rupture for complex geometrical fault structures is performed through a finite volume method. After transformations for building up the partial differential system following explicit conservative law, we design an unstructured bi-dimensional time-domain numerical formulation of the crack problem. As a result, arbitrary non-planar faults can be explicitly represented without extra computational cost. On these complex surfaces, boundary conditions are set on stress fluxes and not on stress values. Prescribed rupture velocity gives accurate solutions with respect to analytical ones depending on the mesh refinement, while solutions for spontaneous propagation are analysed through numerical means. An example of non-planar spontaneous fault growth in heterogeneous media demonstrates the good behaviour of the proposed algorithm as well as specific difficulties of such numerical modelling.
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https://hal-insu.archives-ouvertes.fr/insu-00355237
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Submitted on : Thursday, January 22, 2009 - 2:10:52 PM
Last modification on : Monday, October 12, 2020 - 11:10:18 AM

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Mondher Ben Jemaa, N. Glinsky-Olivier, V. M. Cruz-Atienza, J. Virieux, Serge Piperno. Dynamic non-planar crack rupture by a finite volume method. Geophysical Journal International, Oxford University Press (OUP), 2007, 171 (1), pp.271 à 285. ⟨10.1111/j.1365-246X.2006.03500.x⟩. ⟨insu-00355237⟩

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