Abstract

Under the assumption of a linear geometry description and linear constitutive equations, the governing equations are derived for two poroelastic theories, Biot’s theory and Theory of Porous Media (TPM), using solid displacements and pore pressure as unknowns. Comparing the sets of differential equations of Biot’s theory and of TPM, they show different constant coefficients. Identifying these coefficients with the material data and correlating them for both theories leads to the known problem with Biot’s ‘apparent mass density’ and yet unsolved inconsistencies in finding a counterpart to Biot’s stress coefficient.

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