Abstract
The Burgers model is adapted to the description of viscoelastic rheology of ice and used for the investigation of dispersion and attenuation of waves propagating in a water layer beneath solid columnar ice. Rheological constants describing the ice properties in the horizontal direction are obtained from the experiments with cores of natural columnar sea ice. Energy dissipation in the boundary layer under the ice is regarded as an additional mechanism of wave attenuation. The dependence of the wave attenuation coefficient on the wavelength is investigated. We find that viscous properties of ice are most important for the attenuation of waves with periods less 10 s. Dissipation of wave energy in the boundary layer under the ice dominates as the wave period increases from 10 s to 30 s. Long infragravity waves with periods 20–30 s can propagate over long distances with insignificant attenuation when turbulence in the boundary layer under the ice is small.
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Funding
The work was supported by the Research Council of Norway (projects IntPart, program Arctic Offshore and Coastal Engineering in Changing Climate, Petromaks-2 program Dynamics of Floating Ice, SSG A method to identify sea-ice breakup: a pilot study).
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Translated from Teoreticheskaya i Matematicheskaya Fizika, 2022, Vol. 211, pp. 264–280 https://doi.org/10.4213/tmf10242.
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Marchenko, A.V. Influence of anisotropic rheology on wave processes in sea ice. Theor Math Phys 211, 665–678 (2022). https://doi.org/10.1134/S0040577922050075
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DOI: https://doi.org/10.1134/S0040577922050075