We describe a new method of measuring acoustic properties of particulate (unconsolidated) materials and present preliminary results of its application to studying artificial granular media. The results demonstrate promising prospects for the new method. Earlier unknown features of a dynamic response of unconsolidated granular medium are revealed. Experimental observations of slow relaxation in such media are performed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
M. N. Gol’dshtein, Mechanical Properties of Soils [in Russian], Izd. Lit. Stroit., Moscow (1971).
E. A. Voznesensky, Behavior of Soils under Dynamic Loading [in Russian], Moscow State Univ., Moscow (1997).
O. V. Pavlenko, Seismic Waves in Layered Soils: Nonlinear Behavior of Soil in Response to Strong Earthquakes of Recent Years [in Russian], Nuchnyi Mir, Moscow (2009).
H. M. Jaeger, S. R. Nagel, and R. P. Behringer, Phys. Today, 49, No. 4, 32 (1996).
S. Richter and G. Huber, Granular Matter, 5, 121 (2003).
S. Richter and G. Huber, Granular Matter, 6, 195 (2004).
V. S. Averbakh, A. V. Lebedev, A. P. Maryshev, and V. I. Talanov, Acoust. Phys., 55, No. 2, 211 (2009).
A. L. Groshkov, R. R. Kalimulin, and G. M. Shalashov, Dokl. Akad. Nauk SSSR, 308, No. 1, 65 (1989).
R. A. Guyer and P. A. Johnson, Nonlinear Mesoscopic Elasticity: The Complex Behaviour of Rocks, Soil, Concrete, Wiley-VCH, New York (2009).
T. Brunet, X. Jia, and P. A. Johnson, Geophys. Res. Lett., 35, L19308 (2008).
I. A. Beresnev and P. A. Johnson, Geophysics 59, No. 6, 1000 (1994).
V. N. Nikitin, Fundamentals of Engineering Seismics [in Russian], Moscow State Univ., Moscow (1981).
V. S. Averbakh, A. V. Lebedev, S. A. Manakov, and V. I. Talanov, Acoust. Phys., 58, No. 5, 596 (2012).
C. B. Park, R. D. Miller, and J. Xia, Geophysics, 64, No. 3, 800 (1999)
A. I. Kon’kov, A. V. Lebedev, and S. A. Manakov, in: Proc. 25th Session of the Russian Acoust. Soc. [in Russian] (2012), vol. 1, p. 332.
V. S. Averbakh, A. V. Lebedev, A. P. Maryshev, and V. I. Talanov, Acoust. Phys., 54, No. 4, 526 (2008).
R. E. Sheriff and L. P. Geldart, Exploration Seismology, Volume 1, History, Theory, and Data Acquisition, Cambridge Univ. Press, New York (2008).
Öz. Yilmas, Seismic Data Analysis. Soc. Expl. Geophys., Tulsa (2001).
K. Terzaghi, Terzaghi Lectures: 1974–1982, Am. Soc. Civil Eng., New York (1986).
M. H. Safar, Geophys. Prospecting, 32, 392 (1984).
J. E. White, Seismic Waves: Radiation, Transmission, and Attenuation, McGraw-Hill, New York (1965).
A. V. Lebedev, V. V. Bredikhin, I. A. Soustova, et al., J. Geophys. Res. B, 108, No. 10, EPM11 (2003).
A. V. Lebedev, V. V. Bredikhin, and I. A. Soustova, in: Proc. of Seminars of the Scientific School of Prof. S.A. Rybak, [in Russian], Russian Acoust. Soc., Moscow (2003), p. 77.
M. F. Ashby, Materials Selection in Mechanical Design, Butterworth-Heinemann, Oxford (1999).
A. W. Leissa, Vibration of Shells, Am. Inst. Phys., Woodbury, N.Y. (1993).
E. H. Kennard, J. Appl. Mech., 3, 33 (1953).
I. N. Sneddon and D. S. Berry, “The classical theory of elasticity,” in: S.Flugge, ed., Encycl. Phys., Vol. VI, Elasticity and Plasticity, Springer-Verlag, Berlin–Heidelberg (1958).
I. M. Babakov, Theory of Oscillations [in Russian], Gostekhizdat, Moscow (1958).
G. Mavko, T. Mukeji, and J. Dvorkin, The Rock Physics Handbook: Tools for Seismic Analysis in Porous Media, Cambridge Univ. Press, New York (2009).
A. V. Lebedev, Acoust. Phys., 48, No. 3, 339 (2002).
N. S. Cheng, Ind. Eng. Chem. Res., 47, 3285 (2008).
L. P. Kadanoff, Rev. Mod. Phys., 71, No. 1, 435 (1999).
W. F. Murphy, “Effects of microstructure and pore fluids on the acoustic properties of granular sedimentary materials,” PhD Thesis, Standford University (1982).
J. N. Israelachvili, Intermolecular and Surface Forces, Academic Press, New York (1992).
N. B. Ur’ev, Physico-Chemical Fundamentals of Technologies of Dispersed Systems and Materials [in Russian], Khimiya, Moscow (1988).
K. L. Johnson, Contact Mechanics, Cambridge Univ. Press, Cambridge (1974).
S. R. Pride and J. G. Berryman, Acta Mech., 205, 185 (2009).
X. Jia and P. Mills, Powders and Grains, Balkema, Rotterdam (2001), p. 105.
E. Guyon and D. Bideau, Instabilities and Nonequilibrium Structures, Kluwer, Dordrecht (2000), p. 315.
C. Song, P. Wang, and H. A. Makse, Nature, 453, No. 7195, 629 (2008).
L. D. Landau and E. M. Lifshitz, Mechanics, Vol. 1 (Course of Theoretical Physics), Butterworth-Heinemann, Oxford (1976).
L. A. Ostrovsky and P. A. Johnson, Riv. Nuovo Cim., 24, No. 7, 1 (2001).
I. Yu. Belyaeva, V. Yu. Zaitsev, and E. M. Timanin, Acoust. Phys., 40, No. 6, 789 (1994).
D. Pasqualini, K. Heitmann, J. A. TenCate, et al., J. Geophys. Res., 112, B01204 (2007).
V. S. Averbakh, V. V. Bredikhin, A. V. Lebedev, and S. A. Manakov, Acoust. Phys., 56, No. 6, 794 (2010).
L. A. Ostrovsky and A. V. Lebedev, in: Proc. 19th Int. Symp. Nonlinear Acoustics, Waseda Univ., Tokyo (2012), p. 62.
P. A. Rebinder, Physico-Chemical Mechanics: A New Branch of Science [in Russian], Znanie, Moscow (1958).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 56, Nos. 3, pp. 149–172, March 2013.
Rights and permissions
About this article
Cite this article
Averbakh, V.S., Lebedev, A.V., Manakov, S.A. et al. A new method for acoustic characterization of particulate materials: preliminary results. Radiophys Quantum El 56, 135–156 (2013). https://doi.org/10.1007/s11141-013-9422-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11141-013-9422-4