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

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.

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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.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Faculty/School / Institute/Centre: Current - Faculty of Health, Engineering and Sciences - School of Sciences (6 Sep 2019 -)
Faculty/School / Institute/Centre: Current - Faculty of Health, Engineering and Sciences - School of Sciences (6 Sep 2019 -)
Date Deposited: 12 Nov 2020 01:14
Last Modified: 30 Nov 2020 22:47
Uncontrolled Keywords: porous, rheology, fluid, bubbles
Fields of Research (2008): 01 Mathematical Sciences > 0199 Other Mathematical Sciences > 019999 Mathematical Sciences not elsewhere classified
01 Mathematical Sciences > 0102 Applied Mathematics > 010207 Theoretical and Applied Mechanics
Socio-Economic Objectives (2008): E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
URI: http://eprints.usq.edu.au/id/eprint/40080

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