Dispersion and attenuation for an acoustic wave equation consistent with viscoelasticity

TL;DR

This paper derives a new acoustic wave equation that models viscoelastic attenuation and dispersion, differing from previous models, and analyzes its behavior across various viscoelastic models.

Contribution

It introduces a novel acoustic wave equation consistent with viscoelasticity, expanding understanding of wave dispersion and attenuation in such media.

Findings

The new wave equation differs significantly from Szabo's model.

Dispersion and attenuation are characterized for three viscoelastic models.

Application to linear attenuation model demonstrates practical relevance.

Abstract

An acoustic wave equation for pressure accounting for viscoelastic attenuation is derived from viscoelastic equations of motion. It differs significantly from the equations proposed by Szabo. Dispersion and attenuation associated with the viscoelastic wave equation is examined. The theory is applied to three classes of viscoelastic models and to the linear attenuation model.