IDEAS home Printed from https://ideas.repec.org/a/eee/renene/v179y2021icp2235-2245.html
   My bibliography  Save this article

A dimension reduction algorithm for numerical simulation of multi-borehole heat exchangers

Author

Listed:
  • Zhang, Fangfang
  • Fang, Liang
  • Jia, Linrui
  • Man, Yi
  • Cui, Ping
  • Zhang, Wenke
  • Fang, Zhaohong

Abstract

Aimed at applications in ground-coupled heat pump and thermal energy storage systems, this paper presents a heat transfer model of a deep borehole cluster, taking into account the geothermal gradient in the subsurface and the real connection conditions of the two regions inside and outside the borehole. The superposition principle is proven valid in a mathematical sense for such models in certain conditions, and the three-dimensional heat conduction problem for a multi-borehole heat exchanger may be decomposed into a number of two-dimensional single-borehole problems. Then, a new dimension reduction algorithm is proposed for simulation of heat transfer in the deep borehole cluster. Using this algorithm, comparisons with other commercial model and simulations on example cases show that computational efficiency can be improved by orders of magnitude compared with traditional three-dimensional software.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:renene:v:179:y:2021:i:c:p:2235-2245
    DOI: 10.1016/j.renene.2021.08.028
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960148121011885
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.renene.2021.08.028?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 search 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. 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.
    3. 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.
    4. Zhaohong Fang, 2012. "Heat Transfer Modeling of the Ground Heat Exchangers for the Ground-Coupled Heat Pump Systems," Chapters, in: Arzu Sencan (ed.), Modeling and Optimization of Renewable Energy Systems, IntechOpen.
    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. Chen, Youming & Pan, Bingbing & Zhang, Xunshui & Du, Ciyuan, 2019. "Thermal response factors for fast parameterized design and long-term performance simulation of vertical GCHP systems," Renewable Energy, Elsevier, vol. 136(C), pages 793-804.
    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. Jia, Linrui & Lu, Lin & Chen, Jianheng, 2023. "Exploring the cooling potential maps of a radiative sky cooling radiator-assisted ground source heat pump system in China," Applied Energy, Elsevier, vol. 349(C).
    2. Jia, Linrui & Lu, Lin & Chen, Jianheng & Han, Jie, 2022. "A novel radiative sky cooling-assisted ground-coupled heat exchanger system to improve thermal and energy efficiency for buildings in hot and humid regions," Applied Energy, Elsevier, vol. 322(C).
    3. Kexun Wang & Tishi Huang & Wenke Zhang & Zhiqiang Zhang & Xueqing Ma & Leyao Zhang, 2023. "An Analysis of the Heat Transfer Characteristics of Medium-Shallow Borehole Ground Heat Exchangers with Various Working Fluids," Sustainability, MDPI, vol. 15(16), pages 1-21, August.

    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. 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).
    2. 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).
    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. 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.
    5. 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.
    6. 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).
    7. Cai, Wanlong & Wang, Fenghao & Chen, Chaofan & Chen, Shuang & Liu, Jun & Ren, Zhanli & Shao, Haibing, 2022. "Long-term performance evaluation for deep borehole heat exchanger array under different soil thermal properties and system layouts," Energy, Elsevier, vol. 241(C).
    8. 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.
    9. 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.
    10. 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).
    11. Xiangxi Qin & Yazhou Zhao & Chengjun Dai & Jian Wei & Dahai Xue, 2022. "Thermal Performance Analysis on the Seasonal Heat Storage by Deep Borehole Heat Exchanger with the Extended Finite Line Source Model," Energies, MDPI, vol. 15(22), pages 1-38, November.
    12. Huang, Shuai & Zhu, Ke & Dong, Jiankai & Li, Ji & Kong, Weizheng & Jiang, Yiqiang & Fang, Zhaohong, 2022. "Heat transfer performance of deep borehole heat exchanger with different operation modes," Renewable Energy, Elsevier, vol. 193(C), pages 645-656.
    13. Niu, Qinghe & Ma, Kaiyuan & Wang, Wei & Pan, Jienan & Wang, Qizhi & Du, Zhigang & Wang, Zhenzhi & Yuan, Wei & Zheng, Yongxiang & Shangguan, Shuantong & Qi, Xiaofei & Pan, Miaomiao & Ji, Zhongmin, 2023. "Multifactor analysis of heat extraction performance of coaxial heat exchanger applied to hot dry rock resources exploration: A case study in matouying uplift, Tangshan, China," Energy, Elsevier, vol. 282(C).
    14. 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.
    15. 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.
    16. Ma, Qijie & Wang, Peijun, 2020. "Underground solar energy storage via energy piles," Applied Energy, Elsevier, vol. 261(C).
    17. 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.
    18. Ana Vieira & Maria Alberdi-Pagola & Paul Christodoulides & Saqib Javed & Fleur Loveridge & Frederic Nguyen & Francesco Cecinato & João Maranha & Georgios Florides & Iulia Prodan & Gust Van Lysebetten , 2017. "Characterisation of Ground Thermal and Thermo-Mechanical Behaviour for Shallow Geothermal Energy Applications," Energies, MDPI, vol. 10(12), pages 1-51, December.
    19. Rivera, Jaime A. & Blum, Philipp & Bayer, Peter, 2016. "A finite line source model with Cauchy-type top boundary conditions for simulating near surface effects on borehole heat exchangers," Energy, Elsevier, vol. 98(C), pages 50-63.
    20. Zhang, Linfeng & Zhang, Quan & Huang, Gongsheng, 2016. "A transient quasi-3D entire time scale line source model for the fluid and ground temperature prediction of vertical ground heat exchangers (GHEs)," Applied Energy, Elsevier, vol. 170(C), pages 65-75.

    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:renene:v:179:y:2021:i:c:p:2235-2245. 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/renewable-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.