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

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 due to multiple scattering effects. The averaging technique is verified by finite element analysis. Finally, a simple homogenized elastic model with structural damping is proposed to describe the macroscopic attenuation effect of SH waves in a porous medium.

Automated summary

This paper develops an averaging technique based on the eigenfunction expansion method and collaboration method to investigate the multiple scattering effect of SH wave propagation in a porous medium. The semi-analytical averaging technique conducted using the Monto Carlo method is used to understand the macroscopic dispersion and attenuation phenomena of stress wave propagation in porous solids due to multiple scattering effects. The proposed simple homogenized elastic model with structural damping describes the macroscopic attenuation effect of SH waves in a porous medium.