On inverse coefficient problems of poroelasticity

General approaches to the inverse coefficient problems of poroelasticity on the basis of a modified Biot model are considered. A generalized reciprocity relation is constructed, and an iteration process for determining the unknown coefficients is stated. By way of example, the problem of steady-state longitudinal vibrations of an inhomogeneous poroelastic layered system is considered, and integral equations for the direct and inverse problems are derived. The results of computational experiments where the elastic modulus and the Biot modulus were reconstructed for various laws of variation are given.