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Effects of Boundary Conditions on Performance Prediction of Deep-Buried Ground Heat Exchangers for Geothermal Energy Utilization

Author

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  • Zhendi Ma

    (School of Human Settlements and Civil Engineering, Xi’an Jiaotong University, Xi’an 710049, China)

  • Siyu Qin

    (School of Human Settlements and Civil Engineering, Xi’an Jiaotong University, Xi’an 710049, China)

  • Yuping Zhang

    (Key Laboratory of Coal Resources Exploration and Comprehensive Utilization, Ministry of Natural Resources, Xi’an 710021, China)

  • Wei-Hsin Chen

    (Department of Aeronautics and Astronautics, National Cheng Kung University, Tainan 701, Taiwan
    Research Center for Smart Sustainable Circular Economy, Tunghai University, Taichung 407, Taiwan
    Department of Mechanical Engineering, National Chin-Yi University of Technology, Taichung 411, Taiwan)

  • Guosheng Jia

    (School of Human Settlements and Civil Engineering, Xi’an Jiaotong University, Xi’an 710049, China)

  • Chonghua Cheng

    (Shaanxi Yateer Scientific and Technological Innovation Construction Co., Ltd., Xi’an 710076, China)

  • Liwen Jin

    (School of Human Settlements and Civil Engineering, Xi’an Jiaotong University, Xi’an 710049, China)

Abstract

An accurate prediction for deep-buried ground heat exchangers (DBGHEs) is the premise for efficient utilization of geothermal energy. Due to the complexity of the geological composition spanning thousands of meters, the configuration of boundary conditions plays a critical role in evaluating DBGHE thermal performance. This paper proposed a three-dimensional model of full-scale DBGHE involving both conductive and convective heat transfer in aquifuge and aquifer layers. The constant inlet temperature and constant heating power boundaries in the DBGHE domain, and the surface–bottom temperature and heat flux boundaries in the rock-soil domain were examined. It was found that the differences in the performance prediction caused by different DBGHE boundary conditions were closely related to the system’s operating time. The relative differences in heat extraction amount and average borehole temperature of 2000 m DBGHE caused by the two inlet boundaries on the 30th day were, respectively, 19.5% and 18.3%, while these differences on the 120th day were decreased to 8.4% and 9.9%, respectively. It was found that the constant inlet temperature boundary was more appropriate than the constant heating power condition for estimating aquifer effects on the performance of DBGHE. For the rock-soil domain, the results showed that the heat extraction amount of DBGHE under the heat flux boundary was 12.6%–13.6% higher than that under the surface–bottom temperature boundary. Particularly, when considering the velocity change of groundwater in the aquifer, the relative difference in heat extraction amount increments caused by the two types of rock-soil boundaries can reach 26.6% on the 120th day. It was also found that the thermal influence radius at the end of a heating season was hardly affected by either the DBGHE inlet or rock-soil domain boundary conditions.

Suggested Citation

  • Zhendi Ma & Siyu Qin & Yuping Zhang & Wei-Hsin Chen & Guosheng Jia & Chonghua Cheng & Liwen Jin, 2023. "Effects of Boundary Conditions on Performance Prediction of Deep-Buried Ground Heat Exchangers for Geothermal Energy Utilization," Energies, MDPI, vol. 16(13), pages 1-27, June.
    • Handle: RePEc:gam:jeners:v:16:y:2023:i:13:p:4874-:d:1176942
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    References listed on IDEAS

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    1. Jiewen Deng & Qingpeng Wei & Shi He & Mei Liang & Hui Zhang, 2020. "Simulation Analysis on the Heat Performance of Deep Borehole Heat Exchangers in Medium-Depth Geothermal Heat Pump Systems," Energies, MDPI, vol. 13(3), pages 1-28, February.
    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. Song, Xianzhi & Wang, Gaosheng & Shi, Yu & Li, Ruixia & Xu, Zhengming & Zheng, Rui & Wang, Yu & Li, Jiacheng, 2018. "Numerical analysis of heat extraction performance of a deep coaxial borehole heat exchanger geothermal system," Energy, Elsevier, vol. 164(C), pages 1298-1310.
    4. Bu, Xianbiao & Ma, Weibin & Li, Huashan, 2012. "Geothermal energy production utilizing abandoned oil and gas wells," Renewable Energy, Elsevier, vol. 41(C), pages 80-85.
    5. 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.
    6. Claudio Alimonti, 2023. "Technical Performance Comparison between U-Shaped and Deep Borehole Heat Exchangers," Energies, MDPI, vol. 16(3), pages 1-16, January.
    7. 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.
    8. Jia, G.S. & Ma, Z.D. & Xia, Z.H. & Zhang, Y.P. & Xue, Y.Z. & Chai, J.C. & Jin, L.W., 2022. "A finite-volume method for full-scale simulations of coaxial borehole heat exchangers with different structural parameters, geological and operating conditions," Renewable Energy, Elsevier, vol. 182(C), pages 296-313.
    9. Ma, Z.D. & Jia, G.S. & Cui, X. & Xia, Z.H. & Zhang, Y.P. & Jin, L.W., 2020. "Analysis on variations of ground temperature field and thermal radius caused by ground heat exchanger crossing an aquifer layer," Applied Energy, Elsevier, vol. 276(C).
    10. 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.
    11. Christopher S. Brown & Hannah Doran & Isa Kolo & David Banks & Gioia Falcone, 2023. "Investigating the Influence of Groundwater Flow and Charge Cycle Duration on Deep Borehole Heat Exchangers for Heat Extraction and Borehole Thermal Energy Storage," Energies, MDPI, vol. 16(6), pages 1-22, March.
    12. Bu, Xianbiao & Ran, Yunmin & Zhang, Dongdong, 2019. "Experimental and simulation studies of geothermal single well for building heating," Renewable Energy, Elsevier, vol. 143(C), pages 1902-1909.
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