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Abstract <p>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.</p>

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

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • A. N. Sibin,
  • T. A. Pekarskaya,
  • N. I. Ianchenko

摘要

Abstract

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.