Abstract
The paper presents the results of laboratory measurements of the acoustic nonlinearity parameter for a granite sample from the site of a conducted field experiment. This made it possible to completely confirm the results of the field experiment and explain the occurrence of a large scatter of values for the nonlinearity parameter in the field measurements. The size of the quadratic linearity parameter in granite rocks was determined, normalized to the volumetric concentration of fractures, which can be used for remote estimation of the fracture concentration.
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References
J. E. White, Underground Sound: Application of Seismic Waves (Elsevier, Amsterdam, 1983; Nedra, Moscow, 1986).
G. Mavko, T. Mukeji, and J. Dvorkin, The Rock Physics Handbook. Tools for Seismic Analysis in Porous Media (Cambridge University, Cambridge, 2009).
L. K. Zarembo and V. A. Krasil’nikov, Introduction in Nonlinear Acoustics (Nauka, Moscow, 1966), [in Russian].
R. J. O’Connell and B. Budiansky, J. Geophys. Res. 79, 5412 (1974).
L. Don Anderson, B. Minster, and D. Cole, J. Geophys. Res. 79, 4011 (1974).
W. F. Brace, B. W. Paulding, and C. H. Scholtz, J. Geophys. Res. 71, 3939 (1966).
T. Yanagidani, S. Ehara, O. Nishizawa, K. Kusunose, and M. Terada, J. Geophys. Res. 90, 6840 (1985).
B. Lawn, Fracture of Brittle Solids (Cambridge Univ., Cambridge, 1993).
V. N. Nikitin, Foundations of Engineering Seismic (Moscow Univ., Moscow, 1981).
O. V. Rudenko, Phys.-Usp. 49, 69 (2006).
V. S. Averbakh, V. V. Artel’nyi, B. N. Bogolyubov, V. V. Bredikhin, A. V. Lebedev, A. P. Maryshev, and V. I. Talanov, Acoust. Phys. 54, 71 (2008).
K. W. Winkler and L. Xingzhou, J. Acoust. Soc. Am. 100, 1392 (1996).
R. A. Guyer and P. A. Johnson, Nonlinear Mesoscopic Elasticity: The Complex Behavior of Rocks, Soil, Concrete (Wiley-VCH, 2009).
K. Hadley, J. Geophys. Res. 81, 3484 (1976).
Geological Dictionary Ed. by A. N. Krishtofovich, (Gos. Nauch.–Tekhn. Izd. Lit.eratury po Geol. Okhr. Nedr, Moscow, 1955) [in Russian].
E. Skudrzyk, The Foundations of Acoustics. Basic Mathematics and Basic Acoustics (Springer—Verlag, Vien, 1971; InLit., Moscow, 1958).
A. V. Lebedev, V. V. Bredikhin, I. A. Soustova, A. M. Sutin, and K. Kusunose, J. Geophys. Res. 108, 11 (2003).
A. V. Lebedev, Acoust. Phys. 48, 339 (2002).
E. Skuchik, Simple and Complex Vibratory Systems (Pensylvanya Univ., Univ. Park, 1968; Mir, Moscow, 1971).
V. V. Bredikhin and A. V. Lebedev, Acoust. Phys. 55, 289 (2009).
J. D. Bass, in Elasticity of Minerals, Glasses and Melts. A Handbook of Physical Constants, Ed. by T. J. Ahrens, (Am. Geoph. Union, Washington, 1995), pp. 45–63, vol. 2.
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Original Russian Text © V.S. Averbakh, V.V. Bredikhin, A.I. Kon’kov, A.V. Lebedev, S.A. Manakov, V.I. Talanov, 2016, published in Akusticheskii Zhurnal, 2016, Vol. 62, No. 3, pp. 363–368.
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Averbakh, V.S., Bredikhin, V.V., Kon’kov, A.I. et al. Acoustic nonlinearity of granite: Comparison of data of field and laboratory experiments. Acoust. Phys. 62, 371–376 (2016). https://doi.org/10.1134/S1063771016030027
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DOI: https://doi.org/10.1134/S1063771016030027