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Dynamics of gas bubbles in viscoelastic media accounting for high amplitude pulses and second harmonic emissions

Dynamics of gas bubbles in viscoelastic media accounting for high amplitude pulses and second harmonic emissions
Dynamics of gas bubbles in viscoelastic media accounting for high amplitude pulses and second harmonic emissions
More than three decades ago, Anderson and Hampton [1980a, 1980b] (A&H) presented the theories for wave propagation in gassy water, saturated sediments and gassy sediments in their two-part review, which has been cited by many researchers in the geoacoustics and underwater acoustics areas. They gave an empirical formulation based on the theory of Spitzer [1943] for the wave propagation in gassy water by adapting that for a viscoelastic, lossy medium, though without providing a detailed derivation. Following Leighton [2007], this paper presents a theory based on non-stationary nonlinear dynamics of spherical gas bubbles and extends that 2007 paper to include liquid compressibility and thermal damping effects. The paper then shows how that nonlinear formulation can be reduced to the linear limit, and from this it derives the expressions for the damping coefficients, the scattering cross section, the speed of sound and the attenuation, and compares these with the A&H theory. The current formulation has certain advantages over A&H theory such as implementing an energy conservation based, nonlinear model for the gas pressure inside the bubble, having no sign ambiguity for the speed of sound formula (which is important when estimating the bubble void fraction in marine sediments) and correcting the ambiguity on the expression for scattering cross section, as identified in the recent work of Ainslie and Leighton [2011].
337
University of Southampton
Dogan, Hakan
a1e136a9-aab8-4942-a977-0ae3440758cc
Leighton, Timothy G.
3e5262ce-1d7d-42eb-b013-fcc5c286bbae
Dogan, Hakan
a1e136a9-aab8-4942-a977-0ae3440758cc
Leighton, Timothy G.
3e5262ce-1d7d-42eb-b013-fcc5c286bbae

Dogan, Hakan and Leighton, Timothy G. (2015) Dynamics of gas bubbles in viscoelastic media accounting for high amplitude pulses and second harmonic emissions (ISVR Technical Report, 337) Southampton, GB. University of Southampton 36pp.

Record type: Monograph (Project Report)

Abstract

More than three decades ago, Anderson and Hampton [1980a, 1980b] (A&H) presented the theories for wave propagation in gassy water, saturated sediments and gassy sediments in their two-part review, which has been cited by many researchers in the geoacoustics and underwater acoustics areas. They gave an empirical formulation based on the theory of Spitzer [1943] for the wave propagation in gassy water by adapting that for a viscoelastic, lossy medium, though without providing a detailed derivation. Following Leighton [2007], this paper presents a theory based on non-stationary nonlinear dynamics of spherical gas bubbles and extends that 2007 paper to include liquid compressibility and thermal damping effects. The paper then shows how that nonlinear formulation can be reduced to the linear limit, and from this it derives the expressions for the damping coefficients, the scattering cross section, the speed of sound and the attenuation, and compares these with the A&H theory. The current formulation has certain advantages over A&H theory such as implementing an energy conservation based, nonlinear model for the gas pressure inside the bubble, having no sign ambiguity for the speed of sound formula (which is important when estimating the bubble void fraction in marine sediments) and correcting the ambiguity on the expression for scattering cross section, as identified in the recent work of Ainslie and Leighton [2011].

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More information

Published date: 31 December 2015
Organisations: Acoustics Group, Signal Processing & Control Grp

Identifiers

Local EPrints ID: 386577
URI: https://eprints.soton.ac.uk/id/eprint/386577
PURE UUID: f5950392-5ada-4426-8559-35b131a4e746
ORCID for Timothy G. Leighton: ORCID iD orcid.org/0000-0002-1649-8750

Catalogue record

Date deposited: 02 Feb 2016 12:14
Last modified: 06 Jun 2018 13:08

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