Abstract
The calculation of the ground temperature considering groundwater advection is one of the most noteworthy challenges for the simulation and design of a shallow geothermal system. This paper proposes a new method to calculate the temperature considering the groundwater advection in a scenario involving multiple ground heat exchangers and the time-variable heat flux condition. The superposition principle of the moving infinite cylindrical source solution and the moving infinite line source solution was applied in combination. Furthermore, a regression analysis was performed for various numerical calculation results obtained using a moving infinite cylindrical source model, and a simple and fast calculation solution for the problem was established. The proposed method demonstrated a maximum error of 0.0879 for the dimensionless temperature compared with the numerical calculation result.
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