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Pré-Publication, Document De Travail Année : 2005

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

Résumé

The one-dimensional propagation of compressional elastic waves in a fractured rock is investigated in the time-domain. The interaction between elastic waves and fractures are modeled by hyperbolic jump conditions deduced from a nonlinear contact law used in geomechanics. Existence and uniqueness of the solution to elastodynamics with the hyperbolic jump condition is proven. Numerical modeling is performed by coupling a finite-difference scheme with an interface method to account for the jump conditions. The numerical experiments proposed show the effects of contact nonlinearities, such as the generation of harmonics.
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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. 2005. ⟨hal-00009406v1⟩
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