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Mathematical notes of NEFU, 2017, Volume 24, Issue 2, Pages 85–95
DOI: https://doi.org/10.25587/SVFU.2017.2.9248 (Mi svfu183) 		 
Mathematical modeling

Mathematical model of soil freezing

V. V. Popovab

a M. K. Ammosov North-Eastern Federal University, 58, Belinsky St., Yakutsk 677000, Russia
b Institute of Oil and Gas problem SB RAS
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DOI: https://doi.org/10.25587/SVFU.2017.2.9248
Abstract: We compare two mathematical models of the freezing process of a moist soil saturated with an aqueous solute of salt. For the mathematical model with constant coefficients in the heat equation in a two-phase domain, the possibility of a continuous transition of water saturation to zero at the interface between two-phase and frozen domains is shown.
Keywords: phase transition, thermodynamic equilibrium, self-similar solution, diffusion, thermal diffusivity, water saturation, moisture.
Funding agency Grant number
Russian Foundation for Basic Research 17.01.00732
The work was supported by the grant from the Russian Foundation for Basic Research (project code 17.01.00732).
Received: 28.03.2017
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: V. V. Popov, “Mathematical model of soil freezing”, Mathematical notes of NEFU, 24:2 (2017), 85–95
Citation in format AMSBIB
\Bibitem{Pop17}
\by V.~V.~Popov
\paper Mathematical model of soil freezing
\jour Mathematical notes of NEFU
\yr 2017
\vol 24
\issue 2
\pages 85--95
\mathnet{http://mi.mathnet.ru/svfu183}
\crossref{https://doi.org/10.25587/SVFU.2017.2.9248}
\elib{https://elibrary.ru/item.asp?id=32371888}
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