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Article Dans Une Revue Journal of Computational and Applied Mathematics Année : 2007

Modeling 1-D elastic P-waves in a fractured rock with hyperbolic jump conditions

Résumé

The propagation of elastic waves in a fractured rock is investigated, both theoretically and numerically. Outside the fractures, the propagation of compressional waves is described in the simple framework of one-dimensional linear elastodynamics. The focus here is on the interactions between the waves and fractures: for this purpose, the mechanical behavior of the fractures is modeled using nonlinear jump conditions deduced from the Bandis-Barton model classicaly used in geomechanics. Well-posedness of the initial-boundary value problem thus obtained is proved. Numerical modeling is performed by coupling a time-domain finite-difference scheme with an interface method accounting for the jump conditions. The numerical experiments show the effects of contact nonlinearities. The harmonics generated may provide a non-destructive means of evaluating the mechanical properties of fractures.
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Dates et versions

hal-00009406 , version 1 (03-10-2005)
hal-00009406 , version 2 (20-02-2006)
hal-00009406 , version 3 (14-03-2006)

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Bruno Lombard, Joël Piraux. Modeling 1-D elastic P-waves in a fractured rock with hyperbolic jump conditions. Journal of Computational and Applied Mathematics, 2007, 204 (2), pp.292-305. ⟨10.1016/j.cam.2006.03.027⟩. ⟨hal-00009406v3⟩
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