Dynamics of soils or dynamics of porous media

 
DAMAGE  OF NON CONNECTED POROUS MEDIA- In the study of liquefaction of soils or generally granular media , there exists presently no theory to explain the behavior of soils based on the propagation of earthquake induced stress waves ,to say something about how this wave propagation affects the transient pressure build up in the water which exists as an another pahse with the soil solids.Usually for the puprpose of mathematical and practical convenience saturated soil is considered as a two phase medium 1)soil solids 2)water assuming all the space between soil solids is filled with water. In such a situation if one wants to analyse what is the critical value of strain or stress at which the developemnet of excess pore pressure is irreversible and which further as time elapses and stress or strain keeps on increasing then causes a condition what is known as "LIQUEFCATION" then this liquefaction phenomena seems so complex from mathematical point of view  that presently no treatment of is available to accout for the mechanism of porous media damage. All the porous media theories deal with finite elastic or plastic deformation without going in to the damage of the medium.

 Any how even looking for the damage mechanism of rigid porous media (connected porous media) is conceptually possible but for non connected medium like soil it is very difficult (till now) , because the each paricle of the medium has its own degrees of freedom and which again is direclty proportional to the applied confining pressure surrounding the meium.

 So can somebdoy who is working on these porous media theories please advice me the possibel way to proceed.