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Semi-analytical and numerical modeling of U-bend deep borehole heat exchanger

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  • Wang, Changlong
  • Sun, Wanyu
  • Fu, Qiang
  • Lu, Yuehong
  • Zhang, Pengyuan

Abstract

U-bend deep borehole heat exchanger (DBHE) is a new promising kind of ground heat exchanger, but nowadays there are lack of accurate efficient models to simulate U-bend DBHE. This paper has developed a semi-analytical model of U-bend DBHE, which considers the unsteady heat transfer of borehole, heterogenous soil thermal properties and geothermal gradient. A 2D numerical model and an analytical model based on infinite line-source theory are also developed, and the three models are compared with experimental data for different boundary conditions. Based on the soil thermal properties estimated by logging data and rock identification, the three models have large errors when compared with experimental data. Based on a soil thermal conductivity λs estimated by matching experimental data, the three models match better with experimental data, and it is inferred that λs should be measured by thermal response test instead of rock identification. The semi-analytical model and 2D numerical model match very well for all the time, but the analytical model has large differences with 2D numerical model, which is because the analytical model ignores borehole heat capacity and time-varying heat flows at the borehole wall. This paper could provide a cost-effective semi-analytical model and some advices for U-bend DBHE.

Suggested Citation

  • Wang, Changlong & Sun, Wanyu & Fu, Qiang & Lu, Yuehong & Zhang, Pengyuan, 2024. "Semi-analytical and numerical modeling of U-bend deep borehole heat exchanger," Renewable Energy, Elsevier, vol. 222(C).
  • Handle: RePEc:eee:renene:v:222:y:2024:i:c:s0960148124000247
    DOI: 10.1016/j.renene.2024.119959
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    1. Li, Chao & Jiang, Chao & Guan, Yanling, 2022. "An analytical model for heat transfer characteristics of a deep-buried U-bend pipe and its heat transfer performance under different deflecting angles," Energy, Elsevier, vol. 244(PA).
    2. Li, Chao & Guan, Yanling & Wang, Xing & Li, Gaopeng & Zhou, Cong & Xun, Yingjiu, 2018. "Experimental and numerical studies on heat transfer characteristics of vertical deep-buried U-bend pipe to supply heat in buildings with geothermal energy," Energy, Elsevier, vol. 142(C), pages 689-701.
    3. Yang, H. & Cui, P. & Fang, Z., 2010. "Vertical-borehole ground-coupled heat pumps: A review of models and systems," Applied Energy, Elsevier, vol. 87(1), pages 16-27, January.
    4. 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.
    5. Wang, Guoying & Ma, Hongwei & Liu, Shaowei & Yang, Dong & Xu, Xiaokai & Fu, Mengxiong & Jia, Housheng, 2022. "Thermal power extraction from a deep, closed-loop, multi-level, multi-branch, U-shaped borehole heat exchanger geothermal system," Renewable Energy, Elsevier, vol. 198(C), pages 894-906.
    6. Chen, Chaofan & Cai, Wanlong & Naumov, Dmitri & Tu, Kun & Zhou, Hongwei & Zhang, Yuping & Kolditz, Olaf & Shao, Haibing, 2021. "Numerical investigation on the capacity and efficiency of a deep enhanced U-tube borehole heat exchanger system for building heating," Renewable Energy, Elsevier, vol. 169(C), pages 557-572.
    7. Pan, Aiqiang & McCartney, John S. & Lu, Lin & You, Tian, 2020. "A novel analytical multilayer cylindrical heat source model for vertical ground heat exchangers installed in layered ground," Energy, Elsevier, vol. 200(C).
    8. Wang, Gaosheng & Song, Xianzhi & Shi, Yu & Yang, Ruiyue & Yulong, Feixue & Zheng, Rui & Li, Jiacheng, 2021. "Heat extraction analysis of a novel multilateral-well coaxial closed-loop geothermal system," Renewable Energy, Elsevier, vol. 163(C), pages 974-986.
    9. Li, Min & Lai, Alvin C.K., 2015. "Review of analytical models for heat transfer by vertical ground heat exchangers (GHEs): A perspective of time and space scales," Applied Energy, Elsevier, vol. 151(C), pages 178-191.
    10. 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.
    11. Nian, Yong-Le & Cheng, Wen-Long, 2018. "Insights into geothermal utilization of abandoned oil and gas wells," Renewable and Sustainable Energy Reviews, Elsevier, vol. 87(C), pages 44-60.
    12. Cui, Yuanlong & Zhu, Jie & Twaha, Ssennoga & Riffat, Saffa, 2018. "A comprehensive review on 2D and 3D models of vertical ground heat exchangers," Renewable and Sustainable Energy Reviews, Elsevier, vol. 94(C), pages 84-114.
    13. 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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