Abstract
Vertical borehole heat exchangers are the main method for utilizing shallow geothermal energy and are more suitable for small to medium-sized cities and town buildings with both heating and cooling demands. The imbalance of heating and cooling loads is a common issue during the operation of borehole heat exchanger systems, therefore, an appropriate arrangement of borehole heat exchanger arrays is crucial for alleviating thermal accumulation of the system. This paper constructs a heat transfer model for borehole heat exchanger arrays and selects Harbin, Tianjin, and Guangzhou as typical cities to discuss the differences in heating and cooling load ratios. Based on the analytical solution of the ground temperature field under dynamic loads, the study investigates the impact on the ground temperature field of sequentially arranged ground heat exchangers within square and rectangular areas. The results show that for a group of 16 borehole heat exchangers arranged in a 45 m × 45 m square configuration, after 10 years of system operation, the ground temperature in Guangzhou, which has a higher cooling demand, increased by 15.45°C; in Harbin, which has a higher heating demand, the ground temperature decreased by 18.55°C; and in Tianjin, where the heating and cooling loads are more balanced, the ground temperature fluctuated by about 2.06°C, showing relatively minor changes. When the borehole heat exchanger group is arranged in a rectangular configuration, the ground temperature in Guangzhou increased by 12.50°C, in Harbin, the ground temperature decreased by 15.45°C, and in Tianjin, the ground temperature changed by 1.55°C, which is significantly less than the changes observed with the square configuration. Therefore, the rectangular arrangement of ground heat exchangers is superior to the square arrangement. The research results can provide theoretical guidance for the arrangement of borehole heat exchangers in practical engineering applications.