Dynamic non-planar crack rupture by a finite volume method

Details Dynamic non-planar crack rupture by a finite volume method Dynamic non-planar crack rupture by a finite volume method

Oct 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007geoji.171..271b&link_type=abstract

Geophysical Journal International, Volume 171, Issue 5, pp. 271-285.

Astronomy and Astrophysics

Astronomy

13

Boundary Conditions, Dynamic Rupture, Finite Volume Approach, Friction Law, Numerical Methods, Seismic Source

Scientific paper

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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