Numerical Analysis of Frozen Soil Thawing under the Influence of Rainwater Infiltration
Abstract
The paper is devoted to the study of rainwater infiltration influence on temperature, water saturation and permafrost. The investigation of thawing processes оf frozen soils is of great importance both for northern regions with permafrost and for agricultural areas in the West Siberia. In general case, the problem is very complicated due to many factors to be taken into account. We consider here a one-dimensional problem without including gravity, evaporation, vegetative layer, and radiation. We suppose that the domain between a daylight surface and a thawing front is filled with soil that is considered as porous media with immovable skeleton and pores containing water and air. The domain ahead of phase change boundary is occupied with frozen soil with constant temperature and pressure and pores containing only ice. The model is constructed under the following assumptions: water and ice are incompressible, air is a perfect viscous gas; temperature and pressure are common for skeleton and pores; the soil surface is under the action of falling rain with given temperature and rate. The velocity of rain on the ground surface is assumed to be given, and that leads to assuming the condition for the pressure. In our paper, we solve nonlinear system of equation in full statement without linearization on stationary solution. Free boundary problem is transformed into the problem in fixed domain. The numerical simulation algorithm is elaborated, the analysis of numerical results is provided.
DOI 10.14258/izvasu(2017)4-12
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Copyright (c) 2017 А.С. Алейников, А.Г. Петрова
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