**Problem statement**

The settlement under loading of a porous deformable solid containing a viscous fluid

**Objectives**

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

**Previous/Related Research**

Biot (1942) : a consolidation theory was developed for isotropic materials.

**Assumption**

- 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