Interface conditions for Blot's equations of poroelasticity

Citation
B. Gurevich et M. Schoenberg, Interface conditions for Blot's equations of poroelasticity, J ACOUST SO, 105(5), 1999, pp. 2585-2589
Citations number
21
Categorie Soggetti
Multidisciplinary,"Optics & Acoustics
Journal title
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA
ISSN journal
00014966 → ACNP
Volume
105
Issue
5
Year of publication
1999
Pages
2585 - 2589
Database
ISI
SICI code
0001-4966(199905)105:5<2585:ICFBEO>2.0.ZU;2-6
Abstract
interface conditions at a boundary between two porous media are derived dir ectly from Blot's equations of poroelasticity by replacing the discontinuit y surface with a thin transition layer, in which the properties of the medi um change rapidly yet continuously, and then taking the limit as the thickn ess of the transition layer approaches zero. The interface conditions obtai ned in this way, the well known "open-pore" conditions, are shown to be the only ones that are fully consistent with the validity of Blot's equations throughout the poroelastic continuum, including surfaces across which the m edium properties are discontinuous. But partially blocked or completely imp ermeable interfaces exist; these may be looked upon as the case of a thin l ayer with its permeability taken to be proportional to the layer thickness, again in the limit as layer thickness approaches zero. This approach can s erve as a simple recipe for modeling such an interface in any heterogeneous numerical scheme for poroelastic media. (C) 1999 Acoustical Society of Ame rica. [S0001-4966(99)03605-X].