TY - JOUR

T1 - Mathematical Modeling and Numerical Simulation of Heat and Mass Transfer in Snow Cover and Soil

AU - Sibin, A. N.

AU - Pekarskaya, T. A.

AU - Ianchenko, N. I.

N1 - Sibin, A.N., Pekarskaya, T.A. & Ianchenko, N.I. Mathematical Modeling and Numerical Simulation of Heat and Mass Transfer in Snow Cover and Soil. J Appl Mech Tech Phy 66 (Suppl 1), S46–S53 (2025). The work of Sibin A. N. and Pekarskaya T. A. was supported the Russian Science Foundation no. 24-71-00058, https://rscf.ru/project/24-71-00058/.

PY - 2025/12

Y1 - 2025/12

N2 - 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.

AB - 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.

KW - heat and mass transfer

KW - heterogeneous medium

KW - multiphase filtration

KW - porous medium

KW - salt transport

UR - https://www.scopus.com/pages/publications/105035425244

UR - https://www.mendeley.com/catalogue/c241ba03-1975-3032-a6e9-77e2a17656ae/

U2 - 10.1134/S0021894425700828

DO - 10.1134/S0021894425700828

M3 - Article

VL - 66

SP - S46-S53

JO - Journal of Applied Mechanics and Technical Physics

JF - Journal of Applied Mechanics and Technical Physics

SN - 0021-8944

IS - Suppl 1

ER -