Acoustic diagnosis for porous medium with circular cylindrical pores

Acoustic transmission coefficient and phase velocity of a Lucite slab with circular cylindrical pores with a nonrigid pore frame were experimentally and theoretically investigated. For theoretical investigation a new phenomenological model, the modified Biot-Attenborough (MBA) model, was proposed. The MBA model takes into account both the first kind and the second kind of waves introduced by Biot. It also separately considers viscous and thermal effects with three new phenomenological parameters: boundary, phase velocity, and impedance parameters. The theoretical estimation with three phenomenological parameters shows reasonably good agreement with the experimental data. The physical characteristics of porous medium such as porosity and pore size can be inversely analyzed in terms of the acoustic data such as the transmission coefficient and phase velocity as the functions of porosity and frequency. This makes acoustic diagnosis possible for noninvasively investigating physical characteristics of porous media such as bones and ocean sediments.