Flow and deformation in poroelasticity - II - Numerical method

Citation
Gn. Mercer et Si. Barry, Flow and deformation in poroelasticity - II - Numerical method, MATH COMP M, 30(9-10), 1999, pp. 31-38
Citations number
19
Categorie Soggetti
Engineering Mathematics
Journal title
MATHEMATICAL AND COMPUTER MODELLING
ISSN journal
08957177 → ACNP
Volume
30
Issue
9-10
Year of publication
1999
Pages
31 - 38
Database
ISI
SICI code
0895-7177(199911)30:9-10<31:FADIP->2.0.ZU;2-X
Abstract
A numerical method based on finite difference approximations is presented f or the calculation of the time dependent deformation, pressure and flow wit hin a finite two-dimensional poroelastic medium. The method allows for sour ces or sinks of fluid within the medium, slip or no slip boundaries, a perm eable or impermeable free surface and applied pressures or forces at the bo undaries. The applications of this method are varied and include filtration problems, soil consolidation, and the indentation of biological tissue. (C ) 1999 Elsevier Science Ltd. All rights reserved.