Rheology and decay rate for Frenkel-Biot P1 waves in porous media with gas bubbles

Article

Strunin, Dmitry V. and Ali, Adham A.. 2019. "Rheology and decay rate for Frenkel-Biot P1 waves in porous media with gas bubbles." International Journal of Mechanics. 13, pp. 156-163.

Article Title	Rheology and decay rate for Frenkel-Biot P1 waves in porous media with gas bubbles
ERA Journal ID	39606
Article Category	Article
Authors	Strunin, Dmitry V. (Author) and Ali, Adham A. (Author)
Journal Title	International Journal of Mechanics
Journal Citation	13, pp. 156-163
Number of Pages	8
Year	2019
Place of Publication	Greece
ISSN	1998-4448
Web Address (URL)	https://www.naun.org/cms.action?id=19940
Abstract	We study the effect of using different rheological schemes in models of Frenkel-Biot elastic waves of P-type in porous media. Two rheological schemes are considered -one with the bubbles and the other without. The bubble-including scheme consists of segments representing the solid continuum and bubbles inside the fluid, while the bubble-free scheme is represented by the standard solid-fluid rheological model. We derived the dispersion relations for the wave equations in their linear forms and analyzed the decay rate, lambda, versus the wave number, k. We compared the lambda(k)-dependence for the two rheologies under consideration using typical values of the mechanical parameters of the model. We observed, in particular, that an increase of the radius and the number of the bubbles leads to an increase in the decay rate.
Keywords	porous, rheology, fluid, bubbles
ANZSRC Field of Research 2020	499999. Other mathematical sciences not elsewhere classified
	490109. Theoretical and applied mechanics
Byline Affiliations	School of Sciences
Institution of Origin	University of Southern Queensland

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