Author(s)

A. Fie & J. Skladzieri

Abstract

The paper deals with the mathematical model of the groundwater flow and heat transfer in the frozen ground. Numerical analysis of the rock mass freezing with flowing groundwater can be performed using this model. The flow of the groundwater is assumed to be incompressible. The velocity of the groundwater is related to the velocity potential by Darcy's law. As a consequence, this potential is described by Laplace equation. The temperature distribution is described by standard unsteady-state heat conduction equation with convective term in the unfrozen part of the domain and Stefan's boundary condition on the phase change interface. Both the groundwater flow and the temperature field are calculated using FEM. The original

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