Transport in Porous Media, Vol.89, No.3, 475-486, 2011
Poroelasticity-II: On the Equilibrium State of the Fluid-Filled Penetrable Poroelastic Body
Part-II of the paper titled "Poroelasticity-II" is devoted to defining the joint equilibrium state of a fluid and elastic penetrable material, encapsulated in a rigid volume, Omega. One can ask different questions in respect to such an equilibrium state, such as: (1) In what physical state will the fluid be, if the porous volume of the poroelastic material is filled with a given mass of fluid? (2) What is the capacity of a volume filled with a penetrable sponge in respect to the fluid being in specific state? etc. The point is that, in the frame of the most popular theory of poroelastic materials, Biot's theory, such a question cannot be addressed because this theory is formulated as a linear theory in the neighborhood of some equilibrium state. In this article, we continue to describe our theory that can be applied to solve such problems. We consider a simplified case of a linear-elastic matrix and a fluid having a Van der Waals equation of state and address the problem of the equilibrium state.