Stationary Component of Heat Losses from Ground Heat Accumulators and Heat Exchangers

This paper presents a statement and solution to the problem of heat losses in a ground heat accumulator. A numerical solution to the problem is presented using the finite difference method on an uneven grid along the horizontal axis and uniform in depth, approximation of the differential heat equation according to the scheme with the second order of accuracy in the coordinate, and direct reduced Gaussian method for solving a system of linear equations. The number of grid steps is selected automatically according to the Runge rule. The results of numerical simulation are obtained and presented. An assessment of the accuracy of the calculation based on the external heat balance was carried out. The value of heat losses and the conditional radius of soil heating, which is subject to excess heating from the heat accumulator, is determined.