Numerical solution of Biot equations in quasistatic state for seismic attenuation estimation in anisotropic media

Abstract

An algorithm for numerical upscaling elastic properties of fractured-porous media in low-frequency range is presented. To do so, the algorithm to solve Biot equations in quasi-static state is developed. Paper describes the following aspects: stating the problem of the poroelastic media upscaling to obtain frequency-dependent stiffness tensor, corresponding to the visco-elastic media; the finite-difference approximation of the considered boundary-value problem; peculiarities of the numerical solution of the SLAE with numerical experiments and performance analysis. Numerical experiments are performed to observe the influence of fracture connectivity and fracture-filling material properties on frequency-dependent seismic attenuation in fractured porous fluid-saturated media.