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Assessing The Influence of Internal and Viscous Friction on Dispersion and Sound Attenuation in Unconsolidated Marine Sediments

  • OCEAN ACOUSTICS. HYDROACOUSTICS
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The study analyzes influence of internal and viscous dissipation on sound propagation of in unconsolidated marine sediments. The main provisions of M. Buckingham’s GS theory of intergranular friction are presented. According to GS theory, sediments are considered as a single-phase medium, sound attenuation is explained by internal friction alone, and viscous dissipation is neglected. A modification of GS theory is presented, which transforms it to two-phase. Instead of a single-phase equation of state, an equation of state of a two-phase medium is applied, previously derived in a study by work I.A. Chaban. Substitution of this equation of state into the dispersion relation of GS theory leads to a quadratic equation, the roots of which give the wavenumbers of two types of waves, fast and slow, in an unconsolidated medium with internal friction (GS + EC, grain shearing + effective compressibility). The results given by the modified theory are compared with the results of experimental measurements taken from open sources. It is shown that significant sound speed dispersion at medium frequencies results from the conservative influence of the fluid, and attenuation, from the combined dissipative effect of internal and viscous losses. The types of media and frequency ranges are revealed in which attenuation is determined mainly by the forces of internal or viscous friction.

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REFERENCES

  1. B. Katsnelson, V. Petnikov, and J. Lynch, Fundamentals of Shallow Water Acoustics (Springer, New York, Dordrecht, Heildelberg, London, 2012).

  2. D. R. Jackson and M. D. Richardson, High-Frequency Seafloor Acoustics (Springer, New York, 2007).

    Google Scholar 

  3. V. A. Grigor’ev, A. A. Lun’kov, and V. G. Petnikov, Acoust. Phys. 61 (1), 85 (2015).

    ADS  Google Scholar 

  4. V. A. Grigor’ev, B. G. Katsnel’son, and J. F. Lynch, Acoust. Phys. 62 (3), 339 (2016).

    ADS  Google Scholar 

  5. A. I. Belov and G. N. Kuznetsov, Acoust. Phys. 62 (2), 194 (2016).

    ADS  Google Scholar 

  6. V. A. Grigoriev, V. G. Petnikov, and A. V. Shatravin, Acoust. Phys. 63 (4), 433 (2017).

    ADS  Google Scholar 

  7. V. A. Grigor’ev, V. G. Petnikov, A. G. Roslyakov, and Ya. E. Terekhina, Acoust. Phys. 64 (3), 331 (2018).

    ADS  Google Scholar 

  8. A. V. Grinyuk, V. N. Kravchenko, V. A. Lazarev, A. I. Malekhanov, Yu. V. Petukhov, V. I. Romanova, and A. I. Khil’ko, Acoust. Phys. 59 (3), 312 (2013).

    ADS  Google Scholar 

  9. H. J. Camin and M. J. Isakson, J. Acoust. Soc. Am. 120 (5), 2437 (2006).

    ADS  Google Scholar 

  10. A. L. Bonomo, N. P. Chotiros, and M. J. Isakson, J. Acoust. Soc. Am. 138 (2), 748 (2015).

    ADS  Google Scholar 

  11. S. G. Schock, IEEE J. Oceanic Eng. 29 (4), 1200 (2004).

    ADS  Google Scholar 

  12. C. W. Holland and J. Dettmer, J. Acoust. Soc. Am. 133 (1), 50 (2013).

    ADS  Google Scholar 

  13. A. L. Bonomo and M. J. Isakson, J. Acoust. Soc. Am. 143 (4), 2501 (2018).

    ADS  Google Scholar 

  14. S. Rakotonarivo, M. Legris, R. Desmare, J.-P. Sessarego, and J.-F. Bourillet, Geophysics 76 (4), T91 (2011).

    ADS  Google Scholar 

  15. A. C. Kibblewhite, J. Acoust. Soc. Am. 86 (2), 716 (1989).

    ADS  Google Scholar 

  16. N. P. Chotiros, Acoustics of the Seabed as a Poroelastic Medium (Springer Int. Publ., 2017).

    Google Scholar 

  17. N. P. Chotiros and M. J. Isakson, J. Acoust. Soc. Am. 135 (6), 3264 (2014).

    ADS  Google Scholar 

  18. M. Kimura, J. Acoust. Soc. Am. 120 (2), 699 (2006).

    ADS  Google Scholar 

  19. G. Mavko, T. Mukerji, and J. Dvorkin, The Rock Physics Handbook. Tools for Seismic Analysis of Porous Media (Univ. Press, Cambridge, 2009).

    Google Scholar 

  20. M. J. Buckingham, J. Acoust. Soc. Am. 108 (6), 2796 (2000).

    ADS  Google Scholar 

  21. M. J. Buckingham, J. Acoust. Soc. Am. 122 (3), 1486 (2007).

    ADS  Google Scholar 

  22. V. A. Lisyutin, Ekol. Vestn. Nauchn. Tsentr. Chernomorsk. Ekon. Sotrudnichestva 15 (3), 39 (2018).

    Google Scholar 

  23. V. A. Lisyutin, Phys. Oceanogr. 26 (1), 77 (2019). https://doi.org/10.22449/1573-160X-2019-1-77-91

    Article  Google Scholar 

  24. E. L. Hamilton, Geophysics 37 (4), 620 (1972).

    ADS  Google Scholar 

  25. E. I. Mashinskii, Extended Abstract of Doctoral Dissertation in Geology and Mineralogy (Novosibirsk, 1999).

  26. V. Yu. Zaitsev and V. E. Nazarov, Acoust. Phys. 45 (5), 552 (1999).

    ADS  Google Scholar 

  27. V. Yu. Zaitsev, V. E. Nazarov, and A. E. Shul’ga, Acoust. Phys. 46 (3), 295 (2000).

    ADS  Google Scholar 

  28. I. A. Chaban, Akust. Zh. 39 (2), 362 (1993).

    Google Scholar 

  29. A. H. Reed, K. B. Briggs, and D. L. Lavoie, IEEE J. Oceanic Eng. 27 (3), 581 (2002).

    ADS  Google Scholar 

  30. A. H. Reed, K. E. Thompson, K. B. Briggs, and C. S. Willson, IEEE J. Oceanic Eng. 35 (3), 488 (2010).

    ADS  Google Scholar 

  31. K. Urumović and Sr. K. Urumović, Hydrol. Earth Syst. Sci. 20, 1669 (2016).

    ADS  Google Scholar 

  32. N. P. Chotiros, J. Acoust. Soc. Am. 103 (5), 2726 (1998).

    ADS  Google Scholar 

  33. M. D. Richardson, K. L. Williams, K. B. Briggs, and E. I. Thorsos, IEEE J. Oceanic Eng. 27 (3), 593 (2002).

    ADS  Google Scholar 

  34. K. L. Williams, D. R. Jackson, E. I. Thorsos, D. Tang, and S. G. Schock, IEEE J. Oceanic Eng. 27 (3), 413 (2002).

    ADS  Google Scholar 

  35. M. Kimura, J. Acoust. Soc. Am. 143 (5), 3154 (2018).

    ADS  Google Scholar 

  36. P. W. J. Glover, E. Walker, J. Ruel, and E. Tardif, Int. J. Geophys. 2012, ID 728495 (2012).

  37. B. T. Hefner and K. L. Williams, J. Acoust. Soc. Am. 120 (5), 2538 (2006).

    ADS  Google Scholar 

  38. E.-M. Nosal, C. Tao, S. Baffi, and R. H. Wilkens, IEEE J. Oceanic Eng. 33 (4), 367 (2008).

    ADS  Google Scholar 

  39. J. Wang, B. Liu, G. Kan, G. Li, J. Zheng, and X. Meng, Ocean Eng. 160, 45 (2018).

    Google Scholar 

  40. K. M. Lee, M. S. Ballard, A. R. McNeese, T. G. Muir, and P. S. Wilson, J. Acoust. Soc. Am. 140 (5), 3593 (2016).

    ADS  Google Scholar 

  41. M. S. Ballard, R. D. Costley, J. D. Sagers, K. M. Lee, A. R. McNeese, K. K. Hathaway, P. S. Wilson, and E. W. Smith, J. Acoust. Soc. Am. 143 (1), 237 (2018).

    ADS  Google Scholar 

  42. J. Yang and D. Tang, IEEE J. Oceanic Eng. 42 (4), 1102 (2017).

    ADS  Google Scholar 

  43. A. I. Belov and G. N. Kuznetsov, Acoust. Phys. 63 (6), 652 (2017).

    ADS  Google Scholar 

  44. D. A. Bevans and M. J. Buckingham, J. Acoust. Soc. Am. 142 (4), 2273 (2017).

    ADS  Google Scholar 

  45. L. Wan, M. Badiey, and D. P. Knobles, J. Acoust. Soc. Am. 140 (4), 2358 (2016).

    ADS  Google Scholar 

  46. J.-X. Zhou, X.-Z. Zhang, and P. Knobles, J. Acoust. Soc. Am. 125 (5), 2847 (2009).

    ADS  Google Scholar 

  47. http://www.apl.washington.edu/programs/SAX99/ SAX99/coremeas.html. Accessed October 19, 2019.

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Funding

The study was carried out at the Laboratory of Theoretical Foundations of Prospective Methods for Studying the Shelf, Sevastopol State University, with financial support from the Russian Foundation for Basic Research (project no. 18-42-920001).

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Authors and Affiliations

  1. Sevastopol State University, 299053, Sevastopol, Russia

    V. A. Lisyutin & O. R. Lastovenko

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  1. V. A. Lisyutin
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  2. O. R. Lastovenko
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Correspondence to V. A. Lisyutin.

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Lisyutin, V.A., Lastovenko, O.R. Assessing The Influence of Internal and Viscous Friction on Dispersion and Sound Attenuation in Unconsolidated Marine Sediments. Acoust. Phys. 66, 401–415 (2020). https://doi.org/10.1134/S1063771020040065

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