Finite Strain Theory of Consolidation

For static problems (i.e., in the absence of inertia terms), (6.9) is written as 

This is combined with the seepage equation (6.5), giving Biot s consolidation equation. 

The pore pressure p is usually set as the hydrostatic pressure po plus the excess pore pressure dp. Then, the effective stress is written in an incremental form as 

In this section we reconstruct the theory of consolidation by introducing the concept of a finite strain and a nominal stress rate, which are given in Chap. 2. Note that in Chap. 5 a mixture theory was developed for a porous medium with multiple 

6 Qassical Theory of Consolidation for Saturated Porous Media 

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