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A slightly inclined deep borehole heat exchanger array behaves better than vertical installation

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  • Shen, Junhao
  • Luo, Yongqiang
  • Zhou, Chaohui
  • Song, Yixiao
  • Tian, Zhiyong
  • Fan, Jianhua
  • Zhang, Ling
  • Liu, Aihua

Abstract

The geothermal energy is abundant deep underground for sustainable heating, while the common way of drilling vertical deep borehole requires larger area on the surface. Currently, there are few reported studies on inclined deep borehole heat exchangers (DBHEs). This paper establishes a semi-analytical model of inclined DBHE arrays. The new model is verified through comparison with benchmarks. Subsequently, the long-term operation of this system is simulated and analyzed. The results show that a slightly inclined angle can greatly improve the thermal performance. With the increase in borehole length, the heat extraction per meter of inclined arrays increases faster than vertical arrays. Under the same heating load, the inclination of boreholes can reduce the borehole length, thereby cutting the operational cost of the heat pump and the initial investment of BHEs substantially by 9.3 %. Moreover, the inclined DBHE array can accommodate a greater heating load of 1280 kW, which is 31.3 % larger than that of the vertical array. Finally, a fast prediction model is proposed for inclined DBHEs, with a maximum relative error of 1.60 %. This work offers technical support for the design and operation of inclined DBHE arrays.

Suggested Citation

  • Shen, Junhao & Luo, Yongqiang & Zhou, Chaohui & Song, Yixiao & Tian, Zhiyong & Fan, Jianhua & Zhang, Ling & Liu, Aihua, 2025. "A slightly inclined deep borehole heat exchanger array behaves better than vertical installation," Renewable Energy, Elsevier, vol. 238(C).
  • Handle: RePEc:eee:renene:v:238:y:2025:i:c:s0960148124020317
    DOI: 10.1016/j.renene.2024.121963
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    References listed on IDEAS

    as
    1. Cai, Wanlong & Wang, Fenghao & Chen, Shuang & Chen, Chaofan & Liu, Jun & Deng, Jiewen & Kolditz, Olaf & Shao, Haibing, 2021. "Analysis of heat extraction performance and long-term sustainability for multiple deep borehole heat exchanger array: A project-based study," Applied Energy, Elsevier, vol. 289(C).
    2. Brown, Christopher S. & Kolo, Isa & Falcone, Gioia & Banks, David, 2023. "Investigating scalability of deep borehole heat exchangers: Numerical modelling of arrays with varied modes of operation," Renewable Energy, Elsevier, vol. 202(C), pages 442-452.
    3. Luo, Yongqiang & Xu, Guozhi & Cheng, Nan, 2021. "Proposing stratified segmented finite line source (SS-FLS) method for dynamic simulation of medium-deep coaxial borehole heat exchanger in multiple ground layers," Renewable Energy, Elsevier, vol. 179(C), pages 604-624.
    4. Li, Ji & Xu, Wei & Li, Jianfeng & Huang, Shuai & Li, Zhao & Qiao, Biao & Yang, Chun & Sun, Deyu & Zhang, Guangqiu, 2021. "Heat extraction model and characteristics of coaxial deep borehole heat exchanger," Renewable Energy, Elsevier, vol. 169(C), pages 738-751.
    5. Dong, Shihao & Yu, Yuelong & Wang, Hao & Yao, Yang & Ni, Long, 2023. "An economic-energetic-environmental evaluation algorithm for hybrid mid-depth geothermal heating system," Energy, Elsevier, vol. 282(C).
    6. Wu, Wei & Li, Xianting & You, Tian & Wang, Baolong & Shi, Wenxing, 2015. "Combining ground source absorption heat pump with ground source electrical heat pump for thermal balance, higher efficiency and better economy in cold regions," Renewable Energy, Elsevier, vol. 84(C), pages 74-88.
    7. Wang, Guiling & Wang, Wanli & Luo, Jin & Zhang, Yuhao, 2019. "Assessment of three types of shallow geothermal resources and ground-source heat-pump applications in provincial capitals in the Yangtze River Basin, China," Renewable and Sustainable Energy Reviews, Elsevier, vol. 111(C), pages 392-421.
    8. Lee, C.K., 2011. "Effects of multiple ground layers on thermal response test analysis and ground-source heat pump simulation," Applied Energy, Elsevier, vol. 88(12), pages 4405-4410.
    9. Li, Chao & Guan, Yanling & Liu, Jianhong & Jiang, Chao & Yang, Ruitao & Hou, Xueming, 2020. "Heat transfer performance of a deep ground heat exchanger for building heating in long-term service," Renewable Energy, Elsevier, vol. 166(C), pages 20-34.
    10. Bandos, Tatyana V. & Campos-Celador, Álvaro & López-González, Luis M. & Sala-Lizarraga, José M., 2014. "Finite cylinder-source model for energy pile heat exchangers: Effects of thermal storage and vertical temperature variations," Energy, Elsevier, vol. 78(C), pages 639-648.
    11. Chen, Xie & Mao, Hongzhi & Cheng, Nan & Ma, Ling & Tian, Zhiyong & Luo, Yongqiang & Zhou, Chaohui & Li, Huai & Wang, Qian & Kong, Weiqiang & Fan, Jianhua, 2024. "Climate change impacts on global photovoltaic variability," Applied Energy, Elsevier, vol. 374(C).
    12. Koohi-Fayegh, Seama & Rosen, Marc A., 2012. "Examination of thermal interaction of multiple vertical ground heat exchangers," Applied Energy, Elsevier, vol. 97(C), pages 962-969.
    13. Law, Ying Lam E. & Dworkin, Seth B., 2016. "Characterization of the effects of borehole configuration and interference with long term ground temperature modelling of ground source heat pumps," Applied Energy, Elsevier, vol. 179(C), pages 1032-1047.
    14. Li, Chao & Guan, Yanling & Jiang, Chao & Deng, Shunxi & Lu, Zhenzhen, 2020. "Numerical study on the heat transfer, extraction, and storage in a deep-buried pipe," Renewable Energy, Elsevier, vol. 152(C), pages 1055-1066.
    15. Zhang, Fangfang & Fang, Liang & Jia, Linrui & Man, Yi & Cui, Ping & Zhang, Wenke & Fang, Zhaohong, 2021. "A dimension reduction algorithm for numerical simulation of multi-borehole heat exchangers," Renewable Energy, Elsevier, vol. 179(C), pages 2235-2245.
    16. Yanxian Li & Pan He & Yuli Shan & Yu Li & Ye Hang & Shuai Shao & Franco Ruzzenenti & Klaus Hubacek, 2024. "Reducing climate change impacts from the global food system through diet shifts," Nature Climate Change, Nature, vol. 14(9), pages 943-953, September.
    17. Zhang, Fangfang & Yu, Mingzhi & Sørensen, Bjørn R. & Cui, Ping & Zhang, Wenke & Fang, Zhaohong, 2022. "Heat extraction capacity and its attenuation of deep borehole heat exchanger array," Energy, Elsevier, vol. 254(PA).
    18. Marcotte, D. & Pasquier, P. & Sheriff, F. & Bernier, M., 2010. "The importance of axial effects for borehole design of geothermal heat-pump systems," Renewable Energy, Elsevier, vol. 35(4), pages 763-770.
    19. Luo, Yongqaing & Guo, Hongshan & Meggers, Forrest & Zhang, Ling, 2019. "Deep coaxial borehole heat exchanger: Analytical modeling and thermal analysis," Energy, Elsevier, vol. 185(C), pages 1298-1313.
    20. Holmberg, Henrik & Acuña, José & Næss, Erling & Sønju, Otto K., 2016. "Thermal evaluation of coaxial deep borehole heat exchangers," Renewable Energy, Elsevier, vol. 97(C), pages 65-76.
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