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

02/16/2021
by   Kangpei Meng, et al.
0

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.

READ FULL TEXT

page 17

page 23

07/25/2020

An adaptive finite element DtN method for the elastic wave scattering by biperiodic structures

Consider the scattering of a time-harmonic elastic plane wave by a bi-pe...
11/03/2021

On mathematical and numerical modelling of multiphysics wave propagation with polytopal Discontinuous Galerkin methods

In this work we review discontinuous Galerkin finite element methods on ...
01/14/2021

An adaptive finite element DtN method for the elastic wave scattering problem in three dimensions

Consider the elastic scattering of an incident wave by a rigid obstacle ...
10/31/2020

A high order discontinuous Galerkin method for the symmetric form of the anisotropic viscoelastic wave equation

Wave propagation in real media is affected by various non-trivial physic...
01/12/2018

Simulation of the propagation of a cylindrical shear wave : non linear and dissipative modelling

The simulation of a wave propagation caused by seismic stimulation allow...