Melting of frozen ground during the warm period of the year
Keywords:
thermal diffusivity coefficient; thermal conductivity; frozen soil; melting front.Abstract
The analytical and numerical approach to calculating the thawing of frozen soil during the warm period of the year (from May to September) is proposed, based on the idea of the finite element method (FEM), i.e. instead of basis functions, linearly independent particular solutions of the heat equation are used. This approach eliminates the issue of discretization of space and time due to the construction of an analytical solution that satisfies the initial condition and boundary conditions changing in time, and also allows determining the thermal diffusivity by identifying the analytical solution with the initial condition of the frozen soil temperature. The solution to the problem is performed according to the well-known algorithm, i.e. the heat transfer process is mathematically modeled separately in the zone of thawed and frozen soil by the heat equation with initial-boundary conditions, the movement of the thawing front is determined by the solution of the Stefan equation.
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