Mass Conservation Law and Seepage Equation

As described in Sect. 5.2, the fluid flow problem in a porous medium is given by a seepage equation, which we again show here together with Darcy s law, assuming that the intrinsic solid particles and fluid are incompressible. Note that we will not consider diffusive processes. 

A mass conservation law for water together with the incompressibility condition results in the following seepage equation  

The driving force associated with the seepage velocity v is the reduced Bernoulli potential, which consists of the pressure head and the datum head thus Darcy s law takes the form 

Ichikawa and A.P.S. Selvadurai, Transport Phenomena in Porous Media, 

6 Classical Theory of Consolidation for Saturated Porous Media 

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