Dispersion and attenuation for an acoustic wave equation consistent with viscoelasticity

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.

Superseded by 1311.0440

References in corpus (1)

• Spatially fractional-order viscoelasticity, non-locality and a new kind of anisotropy

Cited by in corpus (7)

• Distributed order fractional constitutive stress-strain relation in wave propagation modeling
• Restrictions on wave equations for passive media
• Iterative Methods for Photoacoustic Tomography in Attenuating Acoustic Media
• Energy dissipation for hereditary and energy conservation for non-local fractional wave equations
• Fractional Burgers wave equation
• Attenuation and shock waves in linear hereditary viscoelastic media. Strick-Mainardi, Jeffreys-Lomnitz-Strick and Andrade creep compliances
• Fractional Burgers wave equation on a finite domain