Mathematical modeling

Mathematical model of soil freezing

V. V. Popov<sup>ab

a</sup> M. K. Ammosov North-Eastern Federal University, 58, Belinsky St., Yakutsk 677000, Russia
^b Institute of Oil and Gas problem SB RAS

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.

UDC: 519.63

Received: 28.03.2017

DOI: 10.25587/SVFU.2017.2.9248

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