Abstract
A method for remote studies of structurally inhomogeneous media is considered: study of filtration noise. A brief description of the previously proposed model for the occurrence of filtration noise is given. The results of calculations are presented, and the features of the internal structure of natural porous materials that govern the generation of acoustic emission, are noted. The calculation results are compared with experimental data recently published in the journal “Acoustical Physics”. Satisfactory agreement is demonstrated between prediction with the proposed theoretical model and measurement results. This opens up possibilities for determining the parameters of porous media and fluid velocity by measuring the filtration noise.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
R. E. Sheriff and L. P. Geldart, Exploration Seismology, Vol. 1: History, Theory and Data Acquisition, Vol. 2: Data-Processing and Interpretation (Cambridge Univ. Press, Cambridge, London, New York, New Rochelle, Melbourne, Sydney, 1982; Mir, Moscow, 1987).
G. Nolet, Seismic Tomography (D. Reidel Publ. Co., Dordrecht, 1987; Mir, Moscow, 1990).
Active Seismology with Powerful Vibrating Sources, Ed. by G. M. Tsibul’chik (GEO, Novosibirsk, 2004) [in Russian].
F. Brenguier, M. Campillo, C. Hadziioannou, N. Shapiro, R. Nadeau, and E. Larose, Science 321 (5895), 1478 (2008).
T. Yu. Koroleva, T. B. Yanovskaya, and S. S. Patrusheva, Izv., Phys. Solid Earth 45 (5), 396 (2009).
T. B. Yanovskaya, Izv., Phys. Solid Earth 53 (6), 819 (2017).
G. T. Schuster, Seismic Interferometry (Cambridge Univ. Press, 2009).
S. A. Tikhotskii, D. A. Presnov, A. L. Sobisevich, and A. S. Shurup, Acoust. Phys. 67 (1), 91 (2021).
A. L. Sobisevich, D. A. Presnov, and A. S. Shurup, Acoust. Phys. 67 (1), 62 (2021).
R. M. McKinly, F. M. Bower, and R. C. Rumble, J. Petrol. Tech. 25 (3), 329 (1973).
E. F. Afanas’ev, K. L. Grdzelova, and D. V. Plyushchev, Dokl. Akad. Nauk SSSR 3, 554 (1987).
S. A. Nikolaev and M. N. Ovchinnikov, Akust. Zh. 38, 114 (1992).
A. I. Ipatov and M. I. Kremenetskii, Geophysical and Hydrodynamic Development Control for Carbon Depositions (Regular and Chaotic Dynamics, Moscow-Izhevsk, 2010) [in Russian].
E. A. Marfin, Borehole Noise Logging, Vibrational and Acoustical Impact to Fluid Saturated Layers. Student’s Book (Kazan Federal Univ., Kazan, 2012) [in Russian].
E. A. Marfin, I. S. Metelev, B. A. Garif’yanov, and A. A. Abdrashitov, Uch. Zap. Fiz. Fak. 6, 146316 (2014).
S. A. Metelev, M. N. Ovchinnikov, E. A. Marfin, R. R. Gaifutdinov, and R. N. Sagirov, Acoust. Phys. 65 (2), 200 (2019).
G. B. Pykhachev and R. G. Isaev, Underground Hydraulics (Nedra, Moscow, 1973) [in Russian].
L. D. Landau and E. M. Lifshitch, Hydrodynamics, Vol. 6: Theoretical Physics (Nauka, Moscow, 1988) [in Russian].
M. A. Isakovich, General Acoustics (Nauka, Moscow, 1973) [in Russian].
V. N. Shchelkachev and B. B. Lapuk, Underground Hydraulics (Gos. Nauchno-Tekhn. Izd Neftyanoi i Gorno-Toplivnoi Literatury, Moscow, 1949) [in Russian].
G. I. Barenblatt, V. M. Entov, and V. M. Ryzhik, Motion of Liquids and Gases in Natural Deposits (Nedra, Moscow, 1984) [in Russian].
S. I. Sergeev, N. I. Ryzhikov, and D. N. Mikhailov, J. Petrol. Sci. Eng. 172, 654 (2019).
Yu. M. Zaslavskii, Elektron. Zh. Tekhn. Akust. 5, 11 (2005).
A. Kh. Mirzadzhanzade, M. M. Khasanov, and R. N. Bakhtizin, Simulation of Oil and Gas Extraction Processes. Nonlinearity, Nonequilibrium, Uncertainty (Space Research Inst., Moscow-Izhevsk, 2004) [in Russian].
M. I. Rabinovich and D. I. Trubetskov, Introduction to the Theory of Oscillations and Waves (Nauka, Moscow, 2001) [in Russian].
D. Mikhailov and S. Sergeev, Water Resour. Res. 55 (5), 4220 (2019).
A. V. Lebedev, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 61, 343 (2018).
A. V. Lebedev, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 63, 155 (2020).
A. A. Andronov, A. A. Vitt, and S. E. Khaikin, Theory of Oscillation (Fizmatgiz, Leningrad, 1959) [in Russian].
M. Sahimi, Applications of Percolation Theory (Taylor and Francis, 1994).
M. Kleman and O. D. Lavrentovich, Physics Foundations for Partially Ordered Mediums (Fizmatlit, Moscow, 2007) [in Russian].
J. Dvorkin and A. Nur, Geophysics 58 (4), 524 (1993).
J. Dvorkin, R. Nolen-Hoeksema, and A. Nur, Geophysics 59 (3), 428 (1994).
G. Mavko, T. Mukeji, and J. Dvorkin, The Rock Physics Handbook. Tools for Seismic Analysis in Porous Media, 2nd ed. (Cambridge Univ. Press, Cambridge, MA, 2009).
A. V. Lebedev and L. A. Ostrovsky, Acoust. Phys. 60 (5), 555 (2014).
W. F. Brace, E. Silver, K. Hadley, and C. Goetze, Science 178, 162 (1972).
R. L. Kranz, Tectonophysics 100, 449 (1983).
R. A. Guyer and P. A. Johnson, Nonlinear Mesoscopic Elasticity: the Complex Behaviour of Rocks, Soil, Concrete (Wiley-VC, 2009).
B. V. Deryagin, N. V. Churaev, and V. M. Muller, Surface Forces (Nauka, Moscow, 1985) [in Russian].
N. P. Chrotiros, Acoustics of the Seabed as a Poroelastic Medium (ASA Press, Springer, New York, 2017).
I. K. Kikoin, Physical Quantities. Handbook (Atomizdat, Moscow, 1976) [in Russian].
V. S. Averbakh, V. V. Bredikhin, A. V. Lebedev, and S. A. Manakov, Acoust. Phys. 63 (3), 346 (2017).
V. S. Averbakh, V. V. Bredikhin, A. V. Lebedev, and S. A. Manakov, Acoust. Phys S56, 794 (2010).
Funding
The study was financed by the Russian Science Foundation (project no. 22-22-00230).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Lebedev, A.V. Comparison of the Theory with the Results of Measurements of Fluid Filtration Noise in a Porous Medium. Acoust. Phys. 68, 485–495 (2022). https://doi.org/10.1134/S1063771022040054
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063771022040054