Study of poroelasticity material coefficients as response of microstructure

✍ Scribed by D. Lydzba; J. F. Shao

• Book ID: 101284552
• Publisher: John Wiley and Sons
• Year: 2000
• Tongue: English
• Weight: 228 KB
• Volume: 5
• Category: Article
• ISSN: 1082-5010
• DOI: 10.1002/(sici)1099-1484(200002)5:2<149::aid-cfm89>3.0.co;2-f

✦ Synopsis

Using an asymptotic homogenization method, the e!ect of the porous medium microstructure on the values of poroelastic coe$cients is studied in this paper. First, the Biot's poroelasticity theory and general relations linking the macroscopic poroelastic coe$cients with the averaged micromechanical solutions are recalled. Considering a variational formulation of appropriate boundary values problems stated for the representative volume element, microstructural parameters a!ecting the values of poroelastic coe$cients are identi"ed. In order to clarify speci"c roles of some relevant microstructure parameters, numerical investigations for some simpli"ed pores geometries are presented. The numerical results obtained clearly show a strong dependence of the poroelastic coe$cients on the internal geometry of pores as well as on the global porosity of the medium. In the last part, based on the micromechanics analysis, the de"nition of initial plastic yield condition for saturated porous media is introduced and a new interpretation of the e!ective stress concept in inelastic domain is proposed.