Poroelastic energy storage equation

What are the equations governing poroelasticity?

The equations governing poroelasticity are to some extent similar to the equations governing thermoelasticity. This implies that specific solutions to problems in one field may be used to solve the corresponding problems in the other (Geertsma, 1957). In Eq. (1.185) the poroelastic stress–strain law was written as

What is a poroelastic constant?

The poroelastic constant is independent of the fluid properties, and it is defined as An important distinction when applying this formulation to rock is to consider the compressibility of the constitutive materials. For soils, B and α are equal to unity, but in rocks, these are significantly less than one.

What is poroelasticity in chemistry?

Poroelasticity is traditionally used to describe the coupling between the solid and the interpenetrating fluid in their mixture, in which the solid is believed to be saturated by the fluid. In other words, it is an area of studying the movement/flow of material points in both the liquid phase and the solid skeleton.

What is static poroelasticity theory?

The static poroelasticity accounts for a process in which water movement and solid skeleton deformation occur simultaneously and affect each other. Therefore, it can be termed as hydromechanics. This static poroelasticity theory is a generalization of the consolidation theory in soil mechanics.

How many material constants are required for a poroelastic system?

For the definition of a poroelastic system, five material constants are required. These material constants include the drained shear modulus G, the drained Poisson ratio ν, the undrained Poisson ratio νu, the Skempton’s pore pressure coefficient Β, and the intrinsic permeability κ.

What is Poroelasticity Theory?

In the theory of poroelasticity, first introduced by Maurice A. Biot (1941), porous medium is assumed to consist of two separate phases that interact with each other, so this theory enables modeling deformation of the medium together with the fluid flow.