RUS  ENG
Full version
JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 1995 Volume 230, Pages 172–195 (Mi znsl3773)

This article is cited in 10 papers

The effective model of a stratified solid-fluid medium as a special case of the Biot model

L. A. Molotkova, A. V. Bakulinb

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Saint-Petersburg State University

Abstract: The Biot model is compared with the effective model of a stratified periodic elastic-fluid medium, and the parameters of the transversally isotropic Biot model that turn it into the effective model are found. In the course of this comparison, some intermediate models, which are generalizations of the effective model and particular cases of the Biot model, are considered. For all of the models, the wave fronts excited by a point source are determined. The distinguishing feature of wave fronts in the intermediate models is the occurrence of double loops on some of them. Bibl. 15 titles.

UDC: 550.34

Received: 26.08.1994


 English version:
Journal of Mathematical Sciences (New York), 1998, 91:2, 2812–2827

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024