Heat transfer performance and dynamic effects of middle-shallow U-tube ground heat exchangers under geological stratification
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Abstract: Previous research has lacked sufficient attention to the heat exchange performance of middle-shallow U-tube ground heat exchangers (GHEs), particularly regarding the impact of vertical lithology heterogeneity. In this study, a heat transfer model of GHEs coupling vertical lithological variations and ground temperature distribution is established, based on field test data of middle-shallow boreholes in Langfang, Hebei Province. The heat transfer characteristics of GHEs within the depth of 200–300 m and their influencing factors are analyzed. Results show that the flow velocity and wall thickness strongly affect the heat transfer of middle-shallow GHEs. Increasing the flow rate helps to enhance heat transfer, but is not conducive to improving energy efficiency of the system due to higher power consumption of circulating pumps. There is an optimal flow rate range of 2–3 m3/h for PE-RT GHEs. Furthermore, reducing the wall thickness from 8 mm to 3 mm can significantly improve the heat transfer per unit depth by 10–12% for PE-RT GHEs. The thermal influence distance (TID) of GHEs exhibits significant lithological differences and seasonal variations along the depth. As the depth increases, the TID in winter and summer exhibits increasing and decreasing trends, respectively. Especially, the TID of sandy layers due to a high thermal conductivity is greater than that of clay layers under the same conditions. For 250–300 m deep GHEs, the maximum TID reaches 5.8 m in winter and 7.3 m in summer, respectively, after running for five years. The heat transfer performance of middle-shallow GHEs has an attenuation risk of up to 33–35% during long-term operation, which can be alleviated using an intermittent operation strategy. The present findings can offer a useful reference for the design and optimization of middle-shallow GHEs in similar geological conditions.
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Table 1. Ground heat exchanger pipe models and geometric properties
Pipe name Outer diameter (mm) Inner diameter (mm) Wall thickness (mm) Thermal conductivity (W/(m·K)) PE 32 26 3 0.42 PE-RT 50 34 8 0.44 Table 2. Key input parameters used in the numerical models
Pipe type Depth Description Custom value Default value Unit PE 150 Inlet flow rate 1.4,1.7,2.0 1.2 m3/h Operation Time 120 h 200 Inlet flow rate 3,4,5 2 m3/h Operation Time 120 h PE-RT 250 Inlet flow rate 3,4,5 2 m3/h Operation Time 40,80 120 h 1,5 a Wall thickness 3,4,6 8 mm 300 Inlet flow rate 3,4,5 2 m3/h Operation Time 40,80 120 h 1,5 a Wall thickness 3,4,6 8 mm Table 3. Thermal physical properties of geological materials
Typical material Density (g/cm3) Thermal conductivity (W/(m·k)) Specific heat (kJ/(kg·K)) Thermal diffusivity (mm2/s) Clay, Silt Clay 2.01 1.32 1.70 0.39 Silt-fine sand Fine-medium sand 1.97 1.60 1.40 0.58 Sand backfill 1.95 1.60 1.30 0.63 Water 1.00 0.59 4.18 0.14 Table 4. Thermal response test results
Pipe type Depth (m) working condition Inlet flow rate (m3/h) Temperature difference (°C) PE 200 cooling 2.06 4.66 heating 1.93 2.45 PE-RT 300 cooling 4.01 3.27 heating 4.00 2.00 heating 2.97 1.98 cooling 3.05 3.65 PE-RT 250 cooling 4.00 2.89 heating 4.00 1.50 PE 150 cooling 2.13 3.33 heating 1.95 1.83 -
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