dorsal/arxiv
View SchemaProperties of Elastic Waves in a non-Newtonian (Maxwell) Fluid-Saturated Porous Medium
| Authors | D. Tsiklauri, I. Beresnev |
|---|---|
| Categories | |
| ArXiv ID | physics/0107078 |
| URL | https://arxiv.org/abs/physics/0107078 |
| Journal | Transport in Porous Media, 53, 39-50 (2003) |
Abstract
The 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 $\alpha$. (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 $\alpha$ decreases. (c) Appearance of oscillations in all physical quantities in the deeply non-Newtonian regime.
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"abstract": "The present study investigates novelties brought about into the classic\nBiot\u0027s theory of propagation of elastic waves in a fluid-saturated porous solid\nby inclusion of non-Newtonian effects that are important, for example, for\nhydrocarbons. Based on our previous results (Tsiklauri and Beresnev: 2001,\nPhys. Rev. E, 63, 046304), we have investigated the propagation of rotational\nand dilatational elastic waves, through calculating their phase velocities and\nattenuation coefficients as a function of frequency. We found that the\nreplacement of an ordinary Newtonian fluid by a Maxwell fluid in the\nfluid-saturated porous solid results in: (a) an overall increase of the phase\nvelocities of both the rotational and dilatational waves. With the increase of\nfrequency these quantities tend to a fixed, higher, as compared to the\nNewtonian limiting case, level which is not changing with the decrease of the\nDeborah number $\\alpha$. (b) the overall decrease of the attenuation\ncoefficients of both the rotational and dilatational waves. With the increase\nof frequency these quantities tend to a progressively lower, as compared to the\nNewtonian limiting case, levels as $\\alpha$ decreases. (c) Appearance of\noscillations in all physical quantities in the deeply non-Newtonian regime.",
"arxiv_id": "physics/0107078",
"authors": [
"D. Tsiklauri",
"I. Beresnev"
],
"categories": [
"physics.geo-ph"
],
"journal_ref": "Transport in Porous Media, 53, 39-50 (2003)",
"title": "Properties of Elastic Waves in a non-Newtonian (Maxwell) Fluid-Saturated Porous Medium",
"url": "https://arxiv.org/abs/physics/0107078"
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