Математическая модель промерзания грунта

Vasilii V. Popov

doi:10.25587/SVFU.2017.2.9248

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

DOI: https://doi.org/10.25587/SVFU.2017.2.9248

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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Mathematical model of soil freezing

Abstract

References