Recovering the Elastic Compressibility Coefficient of Fluid-Saturated Porous Media in the Isothermal Regime

The paper presents an algorithm and results of calculating the compressibility coefficient of fluid-saturated porous media based on data of the direct mathematical simulation of the deformation process in the elastic isothermal regime. We consider the direct mathematical simulation procedure as an implementation of an iterative algorithm for solving a multiphysics problem in which the closure of the computational fluid dynamics and mechanics blocks is performed using interface conjugation conditions with respect to the Cauchy stress tensor. Computational schemes of non-conforming finite-element methods have been applied to discretize the mathematical models. The dependence of the compressibility coefficient in the porous medium on the applied external mechanical pressure and fluid saturation of the pore space is shown.