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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:204

Article; Proceedings Paper

Lombard, Bruno ; Piraux, Joel

关键词: elastic waves;    contact nonlinearity;    Bandis-Barton model;    jump conditions;    finite-difference schemes;    interface method;   

DOI  :  10.1016/j.cam.2006.03.027

来源: Elsevier

【 摘 要 】

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 1-D 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 classically 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 nondestructive means of evaluating the mechanical properties of fractures. (c) 2006 Elsevier B.V. All rights reserved.

【 授权许可】

Free