The effect of rheology with gas bubbles on linear elastic waves in fluid-saturated granular media
Article
Article Title | The effect of rheology with gas bubbles on linear elastic waves in fluid-saturated granular media |
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ERA Journal ID | 36527 |
Article Category | Article |
Authors | Ali, A. A. (Author) and Strunin, D. V. (Author) |
Journal Title | International Journal of Applied Mechanics and Engineering |
Journal Citation | 23 (3), pp. 575-594 |
Number of Pages | 20 |
Year | 2018 |
Place of Publication | Zielona Gora, Poland |
ISSN | 1425-1655 |
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. |
Keywords | Frenkel-Biots waves, bubbles, rheology, porous media |
ANZSRC Field of Research 2020 | 490109. Theoretical and applied mechanics |
Byline Affiliations | Computational Engineering and Science Research Centre |
School of Agricultural, Computational and Environmental Sciences | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q52y6/the-effect-of-rheology-with-gas-bubbles-on-linear-elastic-waves-in-fluid-saturated-granular-media
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Int. J. of Applied Mechanics and Engineering-de-Groyter.pdf | ||
License: CC BY-NC-ND 4.0 | ||
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