HAL : hal-00009406, version 3

arXiv : math.NA/0510066

DOI : 10.1016/j.cam.2006.03.027

Fiche détaillée

Récupérer au format BibTeX - EndNote - TEI - RefWorks -

Journal of Computational and Applied Mathematics 204, 2 (2007) 292-305

Versions disponibles :

v1 (04-10-2005)

v2 (20-02-2006)

v3 (14-03-2006)

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

Bruno Lombard 1, Joël Piraux 1

(2007)

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.

1 :	Laboratoire de Mécanique et d'Acoustique (LMA)
	CNRS : UPR7051

Domaine

:

Mathématiques/Analyse numérique Sciences de l'ingénieur/Acoustique Physique/Mécanique/Acoustique

Mots Clés : elastic waves – contact nonlinearity – Bandis-Barton model – jump conditions – finite-difference schemes – interface method

hal-00009406, version 3

http://hal.archives-ouvertes.fr/hal-00009406

oai:hal.archives-ouvertes.fr:hal-00009406

Contributeur : Bruno Lombard <>

Soumis le : Mardi 14 Mars 2006, 15:37:28

Dernière modification le : Mardi 14 Août 2007, 15:30:32