IDEAS home Printed from https://ideas.repec.org/a/eee/energy/v254y2022ipas0360544222013330.html

Heat extraction capacity and its attenuation of deep borehole heat exchanger array

Author

Listed:
  • Zhang, Fangfang
  • Yu, Mingzhi
  • Sørensen, Bjørn R.
  • Cui, Ping
  • Zhang, Wenke
  • Fang, Zhaohong

Abstract

A model is proposed to analyze the heat transfer of deep borehole heat exchanger (DBHE)arrays. Based on this, a dimension reduction algorithm is proposed for the numerical simulation of heat transfer of DBHE arrays, which can improve calculation speed by several orders of magnitude compared with that by the CFD software. An index of heat extraction capacity (HECI) is adopted to evaluate the heat extraction capacity of DBHE arrays. The influence of borehole spacing, operation time, annual heating duration, terrestrial heat flow rate, borehole depth, soil thermal parameters, pipe diameter and circulating fluid flow rate on DBHE array heat extraction capacity and its attenuation are analyzed. The results show that the borehole spacing, operation time, and annual heating duration all have apparent influence on DBHE array heat extraction capacity and its attenuation rate, while the others only have apparent influence on the heat extraction capacity. According to the calculation results, when the DBHE arrays have a service lifetime of 20–50 years, the recommended borehole spacing range is 40–70 m.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:energy:v:254:y:2022:i:pa:s0360544222013330
    DOI: 10.1016/j.energy.2022.124430
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0360544222013330
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.energy.2022.124430?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    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. Walch, Alina & Mohajeri, Nahid & Gudmundsson, Agust & Scartezzini, Jean-Louis, 2021. "Quantifying the technical geothermal potential from shallow borehole heat exchangers at regional scale," Renewable Energy, Elsevier, vol. 165(P1), pages 369-380.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zheng, Jianqiao & Zhang, Yanjun & Ma, Yongjie & Cheng, Yuxiang & Gao, Xuefeng & Guo, Jixiang & Zhang, Xin & Shi, Haoxin, 2026. "Study on the heat transfer performance and reservoir thermal recovery characteristics of medium-deep coaxial heat exchangers during short intermittent operation in cold regions," Renewable Energy, Elsevier, vol. 257(C).
    2. Dmitry Romanov & Ingela Becker-Grupe & Amir M. Jodeiri & Marco Cozzini & Stefan Holler, 2025. "Rapid Open-Source-Based Simulation Approach for Coaxial Medium-Deep and Deep Borehole Heat Exchanger Systems," Energies, MDPI, vol. 18(18), pages 1-31, September.
    3. Deng, Jiewen & Peng, Chenwei & Su, Yangyang & Qiang, Wenbo & Cai, Wanlong & Wei, Qingpeng, 2023. "Research on the heat storage characteristic of deep borehole heat exchangers under intermittent operation mode: Simulation analysis and comparative study," Energy, Elsevier, vol. 282(C).
    4. Ma, Minghui & Yu, Shui & Jiang, Jie & Sun, Shengkun, 2025. "Analysis of load adaptability and dynamic thermal response in mid-deep geothermal heat pumps with various compressor types: An on-site measurement study," Energy, Elsevier, vol. 339(C).
    5. Huang, Shuai & Dong, Jiankai & Jiang, Yiqiang & Lu, Yuanshen & Sun, Wei & Zhao, Qingjun & Li, Ji, 2026. "Long-term field test and performance assessment of a novel deep borehole heat exchanger array system coupled with solar thermal storage in severely cold regions," Energy, Elsevier, vol. 342(C).
    6. Zhang, Sheng & Liu, Jun & Zhang, Xia & Wang, Fenghao, 2024. "Properly shortening design time scale of medium-deep borehole heat exchanger for high building heating performances with high computational efficiency," Energy, Elsevier, vol. 290(C).
    7. Ma, Yongfa & Yang, Fengtian & Zhu, Ruijie & Zhou, Xuejun & Liu, Guang & Yuan, Lijuan & Wang, Xu & Dong, Junling & Lü, Honglin & Li, Chang & Zhan, Tao & Su, Bin & Xu, Siqi, 2024. "A numerical study on the sustainability and efficiency of deep coaxial borehole heat exchanger systems in the cold region of northeast China," Renewable Energy, Elsevier, vol. 237(PA).
    8. Li, Chao & Jiang, Chao & Li, Juan & Shen, Chunqiang & Wu, Jiale & Wang, Jiachen & Lin, Kunhong, 2025. "Analytical modeling and heat transfer analysis of deep-buried pipe groups under typical multi-pipe layouts," Renewable Energy, Elsevier, vol. 253(C).
    9. 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).
    10. Li, Chao & Jiang, Chao & Guan, Yanling & Chen, Kai & Wu, Jiale & Xu, Jiamin & Wang, Jiachen, 2024. "Simplified method and numerical simulation analysis of pipe-group long-term heat transfer in deep-ground heat exchangers," Energy, Elsevier, vol. 299(C).
    11. Xu, Wei & Li, Ji & Zhang, Guangqiu & Sun, Zongyu & Li, Jintang, 2026. "Research status and future development of the medium-deep geothermal heat pump heating system - A comprehensive review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 225(C).
    12. Chen, Wen & Zhou, Chaohui & Huang, Xinyu & Luo, Hanbin & Luo, Yongqiang & Cheng, Nan & Tian, Zhiyong & Zhang, Shicong & Fan, Jianhua & Zhang, Ling, 2024. "Study on thermal radius and capacity of multiple deep borehole heat exchangers: Analytical solution, algorithm and application based on Response Factor Matrix method (RFM)," Energy, Elsevier, vol. 296(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Xu, Wei & Li, Ji & Zhang, Guangqiu & Sun, Zongyu & Li, Jintang, 2026. "Research status and future development of the medium-deep geothermal heat pump heating system - A comprehensive review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 225(C).
    2. 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).
    3. Li, Chao & Jiang, Chao & Guan, Yanling & Tan, Zijing & Zhao, Zhiqiang & Zhou, Yang, 2022. "Development and applicability of heat transfer analytical model for coaxial-type deep-buried pipes," Energy, Elsevier, vol. 255(C).
    4. Chen, Wen & Zhou, Chaohui & Huang, Xinyu & Luo, Hanbin & Luo, Yongqiang & Cheng, Nan & Tian, Zhiyong & Zhang, Shicong & Fan, Jianhua & Zhang, Ling, 2024. "Study on thermal radius and capacity of multiple deep borehole heat exchangers: Analytical solution, algorithm and application based on Response Factor Matrix method (RFM)," Energy, Elsevier, vol. 296(C).
    5. Shen, Junhao & Zhou, Chaohui & Luo, Yongqiang & Tian, Zhiyong & Zhang, Shicong & Fan, Jianhua & Ling, Zhang, 2023. "Comprehensive thermal performance analysis and optimization study on U-type deep borehole ground source heat pump systems based on a new analytical model," Energy, Elsevier, vol. 274(C).
    6. Li, Chao & Jiang, Chao & Guan, Yanling & Chen, Hao & Yang, Ruitao & Wan, Rong & Shen, Lu, 2023. "Comparison of the experimental and numerical results of coaxial-type and U-type deep-buried pipes’ heat transfer performances," Renewable Energy, Elsevier, vol. 210(C), pages 95-106.
    7. 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.
    8. Luo, Yongqiang & Xu, Guozhi & Zhang, Shicong & Cheng, Nan & Tian, Zhiyong & Yu, Jinghua, 2022. "Heat extraction and recover of deep borehole heat exchanger: Negotiating with intermittent operation mode under complex geological conditions," Energy, Elsevier, vol. 241(C).
    9. Su, Yangyang & Deng, Jiewen & Liao, Yin & Wang, Yanhui & Ma, Minghui & Peng, Chenwei & Wei, Qingpeng & Cai, Wanlong & Yu, Jinghua, 2025. "How to make full use of heat storage characteristic of mid-deep borehole heat exchangers hybrid with heat pump storage systems: Field tests and simulation analysis," Energy, Elsevier, vol. 338(C).
    10. Cai, Wanlong & Wang, Fenghao & Zhang, Yuping & Jiang, Jinghua & Wang, Qiuwang & Shao, Haibing & Kolditz, Olaf & Nagel, Thomas & Chen, Chaofan, 2025. "Field test and long-term heat extraction performance evaluation of the deep U-type borehole heat exchanger system," Renewable Energy, Elsevier, vol. 240(C).
    11. 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).
    12. Chaohui Zhou & Yue Hu & Yuce Liu & Rujie Liu & Yongqiang Luo & Xiao Wang & Huiheng Luo, 2024. "Study on the Operation Optimization of Medium-Depth U-Type Ground Source Heat Pump Systems," Energies, MDPI, vol. 17(13), pages 1-15, June.
    13. Huang, Shuai & Dong, Jiankai & Jiang, Yiqiang & Lu, Yuanshen & Sun, Wei & Zhao, Qingjun & Li, Ji, 2026. "Long-term field test and performance assessment of a novel deep borehole heat exchanger array system coupled with solar thermal storage in severely cold regions," Energy, Elsevier, vol. 342(C).
    14. Boyu Li & Fei Lei & Zibo Shen, 2025. "A Comprehensive Simplified Algorithm for Heat Transfer Modeling of Medium-Deep Borehole Heat Exchangers Considering Soil Stratification and Geothermal Gradient," Energies, MDPI, vol. 18(14), pages 1-32, July.
    15. Wenjing Li & Wenke Zhang & Zhenxing Li & Haiqing Yao & Ping Cui & Fangfang Zhang, 2022. "Investigation of the Heat Transfer Performance of Multi-Borehole Double-Pipe Heat Exchangers in Medium-Shallow Strata," Energies, MDPI, vol. 15(13), pages 1-19, June.
    16. 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.
    17. Huang, Shuai & Li, Jiqin & Gao, Hu & Dong, Jiankai & Jiang, Yiqiang, 2024. "Thermal performance of medium-deep U-type borehole heat exchanger based on a novel numerical model considering groundwater seepage," Renewable Energy, Elsevier, vol. 222(C).
    18. Dmitry Romanov & Ingela Becker-Grupe & Amir M. Jodeiri & Marco Cozzini & Stefan Holler, 2025. "Rapid Open-Source-Based Simulation Approach for Coaxial Medium-Deep and Deep Borehole Heat Exchanger Systems," Energies, MDPI, vol. 18(18), pages 1-31, September.
    19. Yazhou Zhao & Xiangxi Qin & Xiangyu Shi, 2022. "Heat Transfer Modeling on High-Temperature Charging and Discharging of Deep Borehole Heat Exchanger with Transient Strong Heat Flux," Sustainability, MDPI, vol. 14(15), pages 1-34, August.
    20. 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.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:energy:v:254:y:2022:i:pa:s0360544222013330. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/energy .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.