Propagation of Acoustical Wave in Finite Cylindrical Solid Bar surrounded by Semi-Infinite Porous Media saturated with Fluid

TL;DR

This paper derives the propagation equation for acoustic waves in a finite cylindrical solid bar surrounded by semi-infinite porous media saturated with fluid, providing an analytic solution and numerical analysis framework.

Contribution

It introduces a novel boundary condition for solid-porous media interfaces and develops an algorithm for dispersion analysis of acoustic wave propagation.

Findings

Analytic solution for wave propagation in the specified media

Dispersion equation formulation and numerical algorithm

Insights into wave behavior at solid-porous media boundary

Abstract

We established the propagation equation of acoustical wave in media with the solid/porous media cylindrical boundary and obtained the analytic solution. We suggested the boundary condition on solid-porous media cylindrical boundary. Based on that, we introduced the dispersion equation, and constructed the algorithm to perform numerical calculation and analysis of dispersion equation.