Acoustic wave propagation in a macroscopically inhomogeneous porous medium saturated by a fluid

Abstract

The equations of motion in a macroscopically inhomogeneous porous medium saturated by a fluid are derived. As a first verification of the validity of these equations, a two-layer rigid frame porous system considered as one single porous layer with a sudden change in physical properties is studied. A simple wave equation is derived and solved for this system. The reflection and transmission coefficients are calculated numerically using a wave splitting-Green's function approach (WS-GF). The reflected and transmitted wave time histories are also simulated. Experimental results obtained for materials saturated by air are compared to the results given by this approach and to those of the classical transfer matrix method (TMM).

Submitted to Phys.Rev.Lett

Cited by in corpus (4)

• Use of specific Green's functions for solving direct problems involving a heterogeneous rigid frame porous medium slab solicited by acoustic waves
• Acoustic response of a rigid frame porous medium slab with a periodic set of inclusions
• Incorporation of macroscopic heterogeneity within a porous layer to enhance its acoustic absorptance
• Forward and inverse acoustic scattering problems involving the mass density