Mathematical Modeling and Numerical Simulation of Heat and Mass Transfer in Snow Cover and Soil

Mathematical Modeling and Numerical Simulation of Heat and Mass Transfer in Snow Cover and Soil Full article

Journal

Journal of Applied Mechanics and Technical Physics
ISSN: 0021-8944

Output data

Year: 2025, Volume: 66, Number: S1, Pages: S46-S53 Pages count : 8 DOI: 10.1134/s0021894425700828

Tags

heat and mass transfer, multiphase filtration, porous medium, heterogeneous medium, salt transport

Authors

Sibin A.N. ^1,2 , Pekarskaya T.A. ^3,2 , Ianchenko N.I. ⁴

Affiliations

1	Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, 630090, Novosibirsk, Russia
2	Novosibirsk National Research State University, 630090, Novosibirsk, Russia
3	Altai State University, 656049, Barnaul, Russia
4	Irkutsk National Research Technical University, 664074, Irkutsk, Russia

This paper presents a mathematical model describing heat and mass transfer processes in snow and the upper soil layer. The model incorporates phase transitions, dynamic changes in porosity, and the transport of dynamically neutral solutes dissolved in water. Developed on the basis of mass and energy conservation laws, as well as two-phase filtration theory for porous media, the model captures the interactions among water, ice, air, and soil under conditions of seasonal freezing and thawing. Special emphasis is placed on the effects of porosity variations in soil and snow on their filtration characteristics. The proposed model enables the prediction of the impacts of anthropogenic activities and climate change on the hydrological regime and soil salinization in cold regions.

Sibin A.N. , Pekarskaya T.A. , Ianchenko N.I.
Mathematical Modeling and Numerical Simulation of Heat and Mass Transfer in Snow Cover and Soil
Journal of Applied Mechanics and Technical Physics. 2025. V.66. NS1. P.S46-S53. DOI: 10.1134/s0021894425700828 WOS Scopus OpenAlex

Submitted:	Aug 1, 2025
Accepted:	Dec 4, 2025
Published print:	Apr 1, 2026

≡ Web of science:	WOS:001732300800007
≡ Scopus:	2-s2.0-105035425244
≡ OpenAlex:	W7147619704