 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| L. D. Akulenko and S. V. Nesterov, "Elastic properties of a fluid-saturated granular medium," Mech. Solids. 43 (1), 1-12 (2008) |
| Year |
2008 |
Volume |
43 |
Number |
1 |
Pages |
1-12 |
| DOI |
10.3103/S0025654408010019 |
| Title |
Elastic properties of a fluid-saturated granular medium |
| Author(s) |
L. D. Akulenko (Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526, Russia, bolotnik@ipmnet.ru)
S. V. Nesterov (Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526, Russia, kumak@ipmnet.ru) |
| Abstract |
We present a theoretical constructive model describing the elastic properties of a liquid-saturated granular medium with the external pressure taken into account. This model permits calculating the bulk and shear moduli, the speed of sound, the natural frequencies, and the mode shapes of acoustic pressure and vibrational velocity. The desired fundamental characteristics are determined in terms of the medium structure parameters, which is important in geophysical and technical applications. We show that the speed of sound polynomially depends on the pressure in loose media. This dependence was confirmed by numerical laboratory experiments in a wide range of pressure measurements and of the working space geometry. We separately study the case of pressure caused by the weight of the upper layers of the medium (ground). We establish some qualitative mechanical effects concerning the dependence of the elastic properties on various parameters of the medium. |
| References |
| 1. | N. B. Dortman (Editor), Physical Properties of Rocks and Minerals (Nedra, Moscow, 1984) [in Russian]. |
| 2. | V. V. Rzhevskii and G. Ya. Novik, Foundations of Rock Physics (Nedra, Moscow, 1967) [in Russian]. |
| 3. | Ya. I. Frenkel, "On the Theory of Seismic and Seismoelectric Phenomena in Moist Soil," Izv. Akad. Nauk SSSR, Ser. Geogr. Geofiz. 8(4), 133-150 (1944) [J. Phys. 8 (4), 230-241 (1944)]. |
| 4. | M. A. Biot, "Theory of Propagation of Elastic Waves in Fluid-Saturated Porous Solids," JASA 28, 168-191 (1956). |
| 5. | V. S. Nesterov, "Visco-Inertial Dispersion and Sound Decay in Highly-Concentrated Suspensions," Akust. Zh. 5(3), 337-344 (1959) [Acoust. Phys. (Engl. Transl.)]. |
| 6. | L. D. Akulenko and S. V. Nesterov, "Investigation of Inertial and Elastic Properties of Granulated Media Impregnated with a Liquid by a Resonance Method" Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 5, 145-156 (2002) [Mech. Solids (Engl. Transl.) 37 (5), 122-131 (2002)]. |
| 7. | L. D. Akulenko and S. V. Nesterov, "Inertial and Dissipative Properties of a Porous Medium Saturated with Viscous Fluid," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 1, 109-119 (2005) [Mech. Solids (Engl. Transl.) 40 (1), 90-98 (2005)]. |
| 8. | G. Hara, "Theorie der Akustischen Schwingungsausbreitung in Gekörnten Substanzen und Experinmentelle Untersuchungen an Kohlepulver," Elektische Nachrichten Technik 12(7), 191-200 (1935). |
| 9. | E. Kamke, Handbook on Ordinary Differential Equations (Nauka, Moscow, 1971) [in Russian]. |
|
| Received |
21 March 2007 |
| Link to Fulltext |
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