Preprint 2005-038

Modeling 1-D Elastic P-waves in a Fractured Rock with Hyperbolic Jump Conditions

Bruno Lombard and Joel Piraux

Abstract: 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.



Paper:
Available as PDF (392 Kbytes).
Author(s):
Bruno Lombard, <lombard@lma.cnrs-mrs.fr>
Joel Piraux, <piraux@lma.cnrs-mrs.fr>
Publishing information:
Comments:
Submitted by:
<lombard@lma.cnrs-mrs.fr> October 4 2005.


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