Earth’s Cryosphere, 2022, Vol. XXVI, No. 3, p. 26-36.

PHYSICAL AND CHEMICAL PROCESSES IN FROZEN GROUND AND ICE

ANALYTICAL REVIEW OF APPROACHES AND METHODS OF MATHEMATICAL MODELING OF THE PROCESSES OF SOIL FREEZING AND HEAVING

E.V. Safronov¹, V.G. Cheverev^1,*, A.V. Brоuchkov¹, S.N. Buldovich¹, V.Z. Khilimonyuk¹, L.V. Grigoriev², E.M. Makarycheva², E.V. Gnilomedov²

¹ Lomonosov Moscow State University, Faculty of Geology, Department of Geocryology, Leninskie gory 1, Moscow, 119991 Russia
² Scientific Research Institute of Pipeline Transport (LLC NII Transneft), Department of External Impact Modeling and Stability Calculations of Monitoring Objects, Sevastopolskii prosp. 47a, Moscow, 117186 Russia
^*Corresponding author; e-mail: cheverev44@mail.ru

The article provides analytical review of existing approaches and specific models for solving problems of freezing, thawing, and frost heaving of soils. The authors analyzed about 100 published works of Russian and 100 works of foreign authors, including articles, monographs, dissertations, patents, conference proceedings, scientific reports. Special attention in the analysis of the physical formulation of mathematical models is paid to taking into account the mechanism of heat and mass transfer, ice segregation, phase transitions of pore water, and the development of deformations and forces of frost heaving of freezing soils.

Keywords: mathematical modeling, soil freezing, freezing front, frost heaving, cryogenic migration, heat and mass transfer, water phase transitions, shrinkage

---

Recommended citation: Safronov E.V., Cheverev V.G., Brouchkov A.V., Buldovich S.N., Khilimonyuk V.Z., Grigoriev L.V., Makarycheva E.M., Gnilomedov E.V., 2022. Analytical review of approaches and methods of mathematical modeling of the processes of soil freezing and heaving. Earth’s Cryosphere, XXVI (3), 26–36.