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A 3-D HIERARCHICAL FE FORMULATION OF BIOT'S EQUATIONS FOR ELASTO-ACOUSTIC MODELLING OF POROUS MEDIA

✍ Scribed by N.-E. HÖRLIN; M. NORDSTRÖM; P. GÖRANSSON

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 371 KB
Volume: 245
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.2000.3556

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✦ Synopsis

A three-dimensional hierarchical "nite element formulation of Biot's equation for low frequency elasto-acoustic wave propagation in #uid saturated porous media based on a weak formulation with #uid displacement and solid displacement as dependent variables is presented. A global error measure for evaluation of the convergence is proposed. Numerical simulations of an air saturated polyurethane foam material show faster convergence for the hierarchical extensions than for linear and quadratic serendipity "nite element mesh re"nement extensions.

2001 Academic Press

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