ANALYTICAL REVIEW OF APPROACHES AND METHODS OF MATHEMATICAL MODELING OF THE PROCESS OF FREEZING AND FROST HEAVING OF SOILS
E.V. Safronov1, V.G. Cheverev1, A.V. Brouchkov1, S.N. Buldovich1, V.Z. Khilimonyuk1, L.V. Grigoriev2, E.M. Makarycheva2, E.V. Gnilomedov2
1Lomonosov Moscow State University, 119991, Moscow, Leninskie Gory 1, Russia
2Scientific Research Institute of Pipeline Transport, Sevastopolsky prosp. 47a, Moscow, 117186, Russia
Keywords: mathematical modeling, soil freezing, freezing front, frost heaving, cryogenic migration, heat and mass transfer, water phase transitions, shrinkage
Abstract
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, the formation of deformations and forces of frost heaving of frozen soils.
|
