The settlement under loading of a porous deformable solid containing a viscous fluid
The purpose of the paper is to extend the theory of consolidation to the most general case of anisotropy. The theory may therefore also be considered as a generalization of the theory of elasticity to porous materials. It is applicable to the prediction of the time history of stress and strain in a porous solid in which fluid seepage occurs
Biot (1942) : a consolidation theory was developed for isotropic materials.
- Skeleton is purely elastic and contains a compressible viscous fluid
- The solid skeleton is considered to have compressibility and shearing rigidity, and the fluid may be compressible.
- The deformation of a unit cube is assumed to be completely reversible.
Methodology/Flow of Thought
- Derivation of general equation for the anisotropic case
- The general equations are applied to the case of transverse isotropy
- The case of isotropy
Strong and Weakness
(+) 3D case of soil consolidation (poroelasticity)
(+) Anisotropi & Traverse Isotropy case
(+) Introducing Darcy Flow
(-) Excluding fluid saturation