A homogenized damping model for the propagation of elastic wave in a porous solid

TL;DR

This paper introduces a semi-analytical homogenized damping model for elastic wave propagation in porous solids, capturing dispersion and attenuation due to multiple scattering effects, validated by finite element analysis.

Contribution

It develops a novel averaging technique combining eigenfunction expansion and collaboration methods to model wave behavior in porous media.

Findings

The model accurately predicts dispersion and attenuation of SH waves.

Finite element analysis confirms the validity of the homogenized damping model.

The approach provides insights into wave scattering effects in porous structures.

Abstract

This paper develops an averaging technique based on the combination of the eigenfunction expansion method and the collaboration method to investigate the multiple scattering effect of the SH wave propagation in a porous medium. The semi-analytical averaging technique is conducted using Monto Carlo method to understand the macroscopic dispersion and attenuation phenomena of the stress wave propagation in a porous solid caused by the multiple scattering effects. The averaging technique is verified by finite element analysis. Finally, a simple homogenized elastic model with damping is proposed to describe the macroscopic dispersion and attenuation effects of SH waves in porous media.