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Teoreticheskaya i Matematicheskaya Fizika, 2022, Volume 211, Number 2, Pages 264–280
DOI: https://doi.org/10.4213/tmf10242
(Mi tmf10242)
 

This article is cited in 1 scientific paper (total in 1 paper)

Influence of anisotropic rheology on wave processes in sea ice

A. V. Marchenko

The University Centre in Svalbard, Longyearbyen, Norway
Full-text PDF (833 kB) Citations (1)
References:
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.
Keywords: flexural-gravity waves, ice, energy dissipation, attenuation, viscosity, anelasticity, turbulence, eddy viscosity.
Funding agency Grant number
Research Council of Norway
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).
Received: 07.01.2022
Revised: 07.01.2022
English version:
Theoretical and Mathematical Physics, 2022, Volume 211, Issue 2, Pages 665–678
DOI: https://doi.org/10.1134/S0040577922050075
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Marchenko, “Influence of anisotropic rheology on wave processes in sea ice”, TMF, 211:2 (2022), 264–280; Theoret. and Math. Phys., 211:2 (2022), 665–678
Citation in format AMSBIB
\Bibitem{Mar22}
\by A.~V.~Marchenko
\paper Influence of anisotropic rheology on wave processes in sea ice
\jour TMF
\yr 2022
\vol 211
\issue 2
\pages 264--280
\mathnet{http://mi.mathnet.ru/tmf10242}
\crossref{https://doi.org/10.4213/tmf10242}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4461525}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2022TMP...211..665M}
\transl
\jour Theoret. and Math. Phys.
\yr 2022
\vol 211
\issue 2
\pages 665--678
\crossref{https://doi.org/10.1134/S0040577922050075}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85130759832}
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  • https://www.mathnet.ru/eng/tmf10242
  • https://doi.org/10.4213/tmf10242
  • https://www.mathnet.ru/eng/tmf/v211/i2/p264
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:209
    Full-text PDF :49
    References:68
    First page:13
     
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