In Biot’s theory of poroelasticity the potential energy is a function of two kinematic variables which does not include the porosity.

Under this assumption the number of independent poroelastic parameters can be reduced by one. This is sometimes referred to as reciprocity property.

A thermodynamic consideration shows that the porosity is a kinematic variable in poroelasticity. Since the potential energy function has to be constructed from all kinematic variables, this implies for the specific case of a poroelastic medium that the porosity must be included in the deformational potential energy expression.

It also implies that the parameter reduction assumed by Biot does not hold and that one more poroelastic parameter is required to fully describe the volumetric deformation of porous rocks.

In the framework of the generalized poroelasticity framework this additional parameter appears in the form of the microinhomogeneity parameter.

It can be expressed in terms of measurable poroelastic parameters.


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