Mathematical model of soil freezing

  • Popov Vasilii V., imi.pm.pvvl@mail.ru M. K. Ammosov North-Eastern Federal University, Institute of Oil and Gas problem SB RAS, 58, Belinsky St., Yakutsk 677000, Russia
Keywords: phase transition, thermodynamic equilibrium, self-similar solution, diffusion, thermal diffusivity, water saturation, moisture

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.

References

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How to Cite
Popov, V. ( ) “Mathematical model of soil freezing”, Mathematical notes of NEFU, 24(2), pp. 85-95. doi: https://doi.org/10.25587/SVFU.2017.2.9248.
Section
Mathematical Modeling