Properties of Elastic Waves in a non-Newtonian (Maxwell) Fluid-Saturated Porous Medium

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dc.creatorTsiklauri, D.
dc.creatorBeresnev, I.
dc.date2001-07-31
dc.date2002-05-28
dc.date.accessioned2026-07-07T05:46:09Z
dc.date.available2026-07-07T05:46:09Z
dc.descriptionThe present study investigates novelties brought about into the classic Biot's theory of propagation of elastic waves in a fluid-saturated porous solid by inclusion of non-Newtonian effects that are important, for example, for hydrocarbons. Based on our previous results (Tsiklauri and Beresnev: 2001, Phys. Rev. E, 63, 046304), we have investigated the propagation of rotational and dilatational elastic waves, through calculating their phase velocities and attenuation coefficients as a function of frequency. We found that the replacement of an ordinary Newtonian fluid by a Maxwell fluid in the fluid-saturated porous solid results in: (a) an overall increase of the phase velocities of both the rotational and dilatational waves. With the increase of frequency these quantities tend to a fixed, higher, as compared to the Newtonian limiting case, level which is not changing with the decrease of the Deborah number $α$. (b) the overall decrease of the attenuation coefficients of both the rotational and dilatational waves. With the increase of frequency these quantities tend to a progressively lower, as compared to the Newtonian limiting case, levels as $α$ decreases. (c) Appearance of oscillations in all physical quantities in the deeply non-Newtonian regime.
dc.descriptiontypos corrected, presentation improved, submitted to Transp. Por. Med
dc.identifierhttps://arxiv.org/abs/physics/0107078
dc.identifierhttp://arxiv.org/abs/physics/0107078
dc.identifierTransport in Porous Media, 53, 39-50 (2003)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/84239
dc.subjectGeophysics
dc.titleProperties of Elastic Waves in a non-Newtonian (Maxwell) Fluid-Saturated Porous Medium
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