On Statistical Modeling of Acoustic Propagation Losses of Low-Frequency Sound in a Waveguide of a Shallow Sea With Developed Surface Waves
Abstract and keywords
Abstract (English):
A statistical problem of the propagation and scattering of a low-frequency acoustic signal in a shallow-water waveguide with a randomly rough surface and a horizontal absorbing liquid bottom is considered. This inhomogeneous waveguide is studied using the cross-sectional method and local mode theory. To determine the mode amplitudes, a boundary value problem is formulated, which is replaced by a corresponding problem with initial conditions for the imbedding equations. The latter equations are solved without approximations using standard computational schemes, allowing for efficient modeling of the statistical characteristics of the sound signal field. This paper presents calculations of signal intensity attenuation and its fluctuations in an Arctic waveguide under developed surface waves and for two types of bottom boundary impedance. It is shown that the influence of a random surface on the intensity of a propagating signal is relatively small for paths of typical length in shallow water. Intensity losses due to fluctuations increase slowly with distance. A comparison of the results obtained using different methods for solving this statistical problem (adiabatic, WKB-approximation) reveals an observable quantitative discrepancy. It is shown that the type of the correlation function (spectrum) of surface fluctuations has little effect on the average intensity of the signal field, and attenuation is determined by the amplitude of the fluctuations and their correlation radius.

Keywords:
Shallow-water Arctic waveguide, randomly rough sea surface, cross-section method, local modes, imbedding equations, one-way propagation, adiabatic approximation, WKB-method, statistical modeling
Text
Text (PDF): Read Download
References

1. Bass F. G. and Fuchs I. M. Scattering of Waves on a Statistically Rough Surface. — M. : Nauka, 1972. — 424 p. — (In Russian).

2. Brekhovskikh L. M. and Godin O. A. Acoustics of Inhomogeneous Media. Vol. 2. Sound Fields in Stratified and Three-Dimensionally Inhomogeneous Media. — M. : Nauka, 2009. — 425 p. — (In Russian).

3. Brekhovskikh L. M. and Lysanov Yu. P. Theoretical Foundations of Ocean Acoustics. — M. : Nauka, 2007. — 370 p. — (In Russian).

4. Darmon M., Dorval V. and Baqué F. Acoustic Scattering Models from Rough Surfaces: A Brief Review and Recent Advances // Applied Sciences. — 2020. — Vol. 10, no. 22. — P. 8305. — https://doi.org/10.3390/app10228305.

5. Gantmakher F. R. The Theory of Matrices. — M. : Fizmatlit, 1988. — 560 p. — (In Russian).

6. Grigor’ev V. A. and Petnikov V. G. On the possibility of representing an acoustic field in shallow water as the sum of normal modes and quasimodes // Acoustical Physics. — 2016. — Vol. 62, no. 6. — P. 700–716. — https://doi.org/10.1134/s1063771016050031.

7. Grigor’ev V. A., Petnikov V. G., Roslyakov A. G., et al. Sound propagation in shallow water with an inhomogeneous GAS-saturated bottom // Acoustical Physics. — 2018. — Vol. 64, no. 3. — P. 331–346. — https://doi.org/10.1134/s1063771018030053.

8. Gulin O. E. Simulation of low-frequency sound propagation in an irregular shallow-water waveguide with a fluid bottom // Acoustical Physics. — 2010. — Vol. 56, no. 5. — P. 684–692. — https://doi.org/10.1134/s1063771010050143.

9. Gulin O. E. and Yaroshchuk I. O. Simulation of underwater acoustical field fluctuations in shallow sea with random inhomogeneities of sound speed: depth-dependent environment // Journal of Computational Acoustics. — 2014. — Vol. 22, no. 1. — P. 1440002. — https://doi.org/10.1142/s0218396x14400025.

10. Gulin O. E. and Yaroshchuk I. O. Dependence of the mean intensity of a low-frequency acoustic field on the bottom parameters of a shallow sea with random volumetric water-layer inhomogeneities // Acoustical Physics. — 2018. — Vol. 64, no. 2. — P. 186–189. — https://doi.org/10.1134/s1063771018020069.

11. Gulin O. E., Yaroshchuk I. O. and Korotchenko R. A. On the average field intensity and individual modes of a low-frequency sound signal in a shallow waveguide with a statistically rough bottom boundary // Acoustical Physics. — 2024. — Vol. 70, no. 4. — P. 641–658. — https://doi.org/10.1134/s1063771024602437.

12. Katsnelson B., Petnikov V. and Lynch J. Fundamentals of Shallow Water Acoustics. — NY, USA : Springer US, 2012. — 540 p. — https://doi.org/10.1007/978-1-4419-9777-7.

13. Klyatskin V. I. The Imbedding Method in Wave Propagation Theory. — M. : Nauka, 1986. — 256 p. — (In Russian).

14. Klyatskin V. I. Stochastic Equations Through the Eyes of a Physicist (Basic Concepts, Exact Results and Asymptotic Approximations). — M. : Fizmatlit, 2001. — 528 p. — EDN: https://elibrary.ru/UGLKYX ; (in Russian).

15. Lunkov A. A., Grigor’ev V. A. and Petnikov V. G. Acoustic properties of the sea bottom and their effect on long-range sound propagation on the Arctic shelf // Uspekhi Fizicheskikh Nauk. — 2024. — Vol. 194, no. 2. — P. 184–207. — https://doi.org/10.3367/ufnr.2023.10.039600. — (In Russian).

16. Lunkov A. A. and Petnikov V. G. Effect of random hydrodynamic inhomogeneities on low frequency sound propagation loss in shallow water // Acoustical Physics. — 2010. — Vol. 56, no. 3. — P. 328–335. — https://doi.org/10.1134/s1063771010030103.

17. Lunkov A. A., Petnikov V. G. and Chernousov A. D. Sound attenuation on an ocean shelf at short ranges from a source in the presence of surface waves // Acoustical Physics. — 2017. — Vol. 63, no. 2. — P. 190–195. — https://doi.org/10.1134/s1063771017010080.

18. Ogilvy J. A. Wave scattering from rough surfaces // Reports on Progress in Physics. — 1987. — Vol. 50, no. 12. — P. 1553–1608. — https://doi.org/10.1088/0034-4885/50/12/001.

19. Rytov S. M., Kravtsov Yu. A. and Tatarskii V. I. Introduction to Statistical Radiophysics. Part II. Random Fields. — M. : Nauka, 1978. — 464 p. — (In Russian).

20. Yashin D. S. and Kim B. I. Geochemical features of oil and gas potential of Eastern Arctic shelf of Russia // Russian oil and gas geology. — 2007. — No. 4. — P. 25–29. — EDN: https://elibrary.ru/JWIBYF ; (in Russian).


Login or Create
* Forgot password?