Assessing the Power of Intensity Interaction between the Solid and Fluid Phases in the Unconsolidated Water-Saturated Sandy Marine Sediments at Shear Wave Propagation

V. A. Lisyutin, O. R. Lastovenko

Sevastopol State University, Sevastopol, Russian Federation

e-mail: vlisiutin@mail.ru

Abstract

Purpose. Propagation of a shear wave in sandy marine sediments is considered. The acoustic properties of a shear wave are the phase velocity and the attenuation coefficient. It is known that in dry sandy sediments, the attenuation coefficient is directly proportional to frequency. In the saturated mediums, there are the deviations from this law that implies existence of two physical mechanisms of losses – the intergranular friction and viscous loss. The study is aimed at developing a two-phase theoretical model of the shear wave propagation in the unconsolidated marine sediments, and at identifying the dissipative effects caused by the fluid relative movement in the pore space.

Methods and Results. The intergranular friction is modeled using a springpot, which represents an element combing conservative properties of a spring and dissipative ones of a dashpot. The equation of motion is applied, where a part of fluid is assumed to be associated with the media solid phase and another part is considered to be mobile. For a harmonic displacement, the equations of state and the equation of motion yield a new two-phase dispersion relation (the theory of Grain Shearing + Effective Density, or GS + EDs, for short). The results of the GS + EDs theory are compared with the data of the velocity and attenuation measurements taken from the open sources. It is shown that during propagation of the compressional and shear waves, the mechanisms of interaction between the granules, and between the granules and fluid are not similar. Character of the changes in the grain-to-grain friction parameters when the pore space is saturated with fluid, is analyzed.

Conclusions. Manifestation of the dissipative effects resulting from the pore saturation with fluid depends on the density of the granules packing. In case of a dense packing, there are no conditions for the fluid relative movement, and the sandy sediments exhibit the property of constant Q-factor. If the packing is loose, the viscous losses make a significant contribution, and the attenuation frequency dependence is nonlinear. The effective pore sizes for the compression and shear waves do not coincide.

Keywords

unconsolidated marine sediments, intergranular friction, viscous losses, dispersion, shear wave, attenuation coefficient, dispersion relation

Acknowledgements

The investigation was carried out within the framework of the Sevastopol State University internal grant "Development of theoretical models for physical methods of research of the Black Sea shelf", project No. 41/06-31.

Original russian text

Original Russian Text © V. A. Lisyutin, O. R. Lastovenko, 2021, published in MORSKOY GIDROFIZICHESKIY ZHURNAL, Vol. 37, Iss. 1, pp. 98-112 (2021)

For citation

Lisyutin, V.A. and Lastovenko, O.R., 2021. Assessing the Power of Intensity Interaction between the Solid and Fluid Phases in the Unconsolidated Water-Saturated Sandy Marine Sediments at Shear Wave Propagation. Physical Oceanography, 28(1), pp. 90-103. doi:10.22449/1573-160X-2021-1-90-103

DOI

10.22449/1573-160X-2021-1-90-103

References

  1. Jackson, D.R. and Richardson, M.D., 2007. High-Frequency Seafloor Acoustics. New York: Springer, 616 p. https://doi.org/10.1007/978-0-387-36945-7
  2. Hovem, J.M., Richardson, M.R. and Stoll, R.D., Eds., 1991. Shear Waves in Marine Sediments. Dordrecht, Netherlands: Springer, 418 p. https://doi.org/10.1007/978-94-011-3568-9
  3. Kibblewhite, A.C., 1989. Attenuation of Sound in Marine Sediments: A Review with Emphasis on New Low-Frequency Data. The Journal of the Acoustical Society of America, 86(2), pp. 716-738. https://doi.org/10.1121/1.398195
  4. Bowles, F.A., 1997. Observations on Attenuation and Shear-Wave Velocity in Fine-Grained, Marine Sediments. The Journal of the Acoustical Society of America, 101(6), pp. 3385-3397. https://doi.org/10.1121/1.419374
  5. Hamilton, E.L., 1980. Geoacoustic Modeling of the Sea Floor. The Journal of the Acoustical Society of America, 68(5), pp. 1313-1340. https://doi.org/10.1121/1.385100
  6. Stoll, R.D., 1989. Sediment Acoustics. New York: Springer, 153 p.
  7. Brunson, B.A., 1983. Shear Wave Attenuation in Unconsolidated Laboratory Sediments: Ph. D. thesis. Corvalis, OR: Oregon State University, 253 p. Available at: https://ir.library.oregonstate.edu/downloads/9306t181w [Assessed: 19.06.2020].
  8. Kimura, M., 2013. Shear Wave Speed Dispersion and Attenuation in Granular Marine Sediments. The Journal of the Acoustical Society of America, 134(1), pp. 144-155. https://doi.org/10.1121/1.4809679
  9. Kimura, M., 2014. Grain-Size Dependence of Shear Wave Speed Dispersion and Attenuation in Granular Marine Sediments. The Journal of the Acoustical Society of America, 136(1), pp. EL53-EL59. https://doi.org/10.1121/1.4885478
  10. Chotiros, N.P. and Isakson, M.J., 2014. Shear Wave Attenuation and Micro-Fluidics in Water-Saturated Sand and Glass Beads. The Journal of the Acoustical Society of America, 135(6), pp. 3264-3279. https://doi.org/10.1121/1.4874955
  11. Chotiros, N.P., 2017. Acoustics of the Seabed as a Poroelastic Medium. Cham: Springer, 99 p. doi:10.1007/978-3-319-14277-7
  12. Lisyutin, V.A., 2019. Generalized Rheological Model of the Unconsolidated Marine Sediments with Internal Friction and Effective Compressibility. Physical Oceanography, 26(1), pp. 77-91. doi:10.22449/1573-160X-2019-1-77-91
  13. Lisyutin, V.A. and Lastovenko, O.R., 2020. Assessing the Influence of Internal and Viscous Friction on Dispersion and Sound Attenuation in Unconsolidated Marine Sediments. Acoustical Physics, 66(4), pp. 401-415. https://doi.org/10.1134/S1063771020040065
  14. Lisyutin, V.A., 2018. A Simple Acoustic Model of Unconsolidated Marine Sediments with Internal Friction and Viscous Dissipation. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 15(3), pp. 39-51. https://doi.org/10.31429/vestnik-15-3-39-51 (in Russian).
  15. Buckingham, M.J., 2014. Analysis of Shear-Wave Attenuation in Unconsolidated Sands and Glass Beads. The Journal of the Acoustical Society of America, 136(5), pp. 2478-2488. https://doi.org/10.1121/1.4896468
  16. Buckingham, M.J., 2000. Wave Propagation, Stress Relaxation, and Grain-To-Grain Shearing in Saturated, Unconsolidated Marine Sediments. The Journal of the Acoustical Society of America, 108(6), pp. 2796-2815. https://doi.org/10.1121/1.1322018
  17. Pandey, V. and Holm, S., 2016. Connecting the Grain-Shearing Mechanism of Wave Propagation in Marine Sediments to Fractional Order Wave Equations. The Journal of the Acoustical Society of America, 140(6), pp. 4225-4236. https://doi.org/10.1121/1.4971289
  18. Bedford, A., Costley, R.D. and Stern, M., 1984. On the Drag and Virtual Mass Coefficients in Biot’s Equations. The Journal of the Acoustical Society of America, 76(6), pp. 1804-1809. https://doi.org/10.1121/1.391577
  19. Buckingham, M.J., 2020. Wave Speed and Attenuation Profiles in a Stratified Marine Sediment: Geo-Acoustic Modeling of Seabed Layering Using the Viscous Grain Shearing Theory. The Journal of the Acoustical Society of America, 148(2), pp. 962-974. https://doi.org/10.1121/10.0001778
  20. Brunson, B.A. and Johnson, R.K., 1980. Laboratory Measurements of Shear Wave Attenuation in Saturated Sand. The Journal of the Acoustical Society of America, 68(5), pp. 1371-1375. https://doi.org/10.1121/1.385104
  21. Bell, D.W., 1979. Shear Wave Propagation in Unconsolidated Fluid Saturated Porous Media. Austin: The University of Texas at Austin.
  22. Buckingham, M.J., 2007. On Pore-Fluid Viscosity and the Wave Properties of Saturated Granular Materials Including Marine Sediments. The Journal of the Acoustical Society of America, 122(3), pp. 1486-1501. https://doi.org/10.1121/1.2759167
  23. Williams, K.L., Jackson, D.R., Thorsos, E.I., Tang, D. and Schock, S.G., 2002. Comparison of Sound Speed and Attenuation Measured in a Sandy Sediment to Predictions Based on the Biot Theory of Porous Media. IEEE Journal of Oceanic Engineering, 27(3), pp. 413-428. doi:10.1109/JOE.2002.1040928
  24. Prasad, M. and Meissner, R., 1992. Attenuation Mechanisms in Sands; Laboratory Versus Theoretical (Biot) Data. Geophysics, 57(5), pp. 710-719. https://doi.org/10.1190/1.1443284

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