Theory for acoustic propagation in materials which can support stress and which contain gas bubbles, with applications to acoustic effects in marine sediment and tissue

Leighton, T.G. (2007) Theory for acoustic propagation in materials which can support stress and which contain gas bubbles, with applications to acoustic effects in marine sediment and tissue (ISVR Technical Memorandum, 974) Southampton, UK. University of Southampton 24pp.

Record type: Monograph (Project Report)

Abstract

Whilst there is a considerable body of work in the literature on the theory of acoustic
propagation in marine sediment, the incorporation of gas bubbles into such theories is
done with the inclusion of assumptions which severely limit the applicability of those
models to practical gas-laden marine sediments.
Section 2 develops a theory appropriate for predicting the acoustically-driven
dynamics of a single spherical gas bubble embedded in an incompressible lossy
elastic solid. Use of this theory to calculate propagation parameters requires
calculation of the gas pressure component of section 2, and the options are outlined in
section 3. The incorporation of radiation losses is discussed in section 4. Section 5
discusses how the entire scheme can be incorporated into a nonlinear, time-dependent
propagation model.