The effect of rheology with gas bubbles on linear elastic waves in fluid-saturated granular media

Article

Ali, A. A. and Strunin, D. V.. 2018. "The effect of rheology with gas bubbles on linear elastic waves in fluid-saturated granular media." International Journal of Applied Mechanics and Engineering. 23 (3), pp. 575-594. https://doi.org/10.2478/ijame-2018-0031
Article Title

The effect of rheology with gas bubbles on linear elastic waves in fluid-saturated granular media

ERA Journal ID36527
Article CategoryArticle
AuthorsAli, A. A. (Author) and Strunin, D. V. (Author)
Journal TitleInternational Journal of Applied Mechanics and Engineering
Journal Citation23 (3), pp. 575-594
Number of Pages20
Year2018
Place of PublicationZielona Gora, Poland
ISSN1425-1655
1734-4492
Digital Object Identifier (DOI)https://doi.org/10.2478/ijame-2018-0031
Web Address (URL)https://content.sciendo.com/view/journals/ijame/ijame-overview.xml
Abstract

Elastic waves in fluid-saturated granular media depend on the grain rheology, which can be complicated by the presence of gas bubbles. We investigated the effect of the bubble dynamics and their role in rheological scheme, on the linear Frenkel-Biot waves of P1 type. For the wave with the bubbles the scheme consists of three segments representing the solid continuum, fluid continuum and bubbles surrounded by the fluid. We derived the Nikolaevskiy-type equation describing the velocity of the solid matrix in the moving reference system. The equation is linearized to yield the decay rate λ as a function of the wave number k. We compared the λ(k)-dependence for the cases with and without the bubbles, using typical values of the input mechanical parameters. For both the cases, the λ(k) curve lies entirely below zero, which implies a global decay of the wave. We found that the increase of the radius of the bubbles leads to a faster decay, while the increase in the number of the bubbles leads to slower decay of the wave.

KeywordsFrenkel-Biots waves, bubbles, rheology, porous media
ANZSRC Field of Research 2020490109. Theoretical and applied mechanics
Byline AffiliationsComputational Engineering and Science Research Centre
School of Agricultural, Computational and Environmental Sciences
Institution of OriginUniversity of Southern Queensland
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