Dynamic Model of a Porous Medium Saturated with a Viscous Liquid

摘要

A dynamic model of a porous medium has been developed. It enables one to calculate inertial and dissipative characteristics of materials from their physical properties and the structural elements of the medium. These characteristics are used to determine the speed of sound and damping of sound in the medium. The existence of viscous-inertial dispersion of acoustic waves has been revealed. The low- and high-frequency ranges of inertial and dissipation properties have been separated, and the transition region has been found. Theoretical conclusions have been qualitatively corroborated by laboratory experiments for certain samples of rock formations.