IDEAS home Printed from https://ideas.repec.org/a/gam/jsusta/v14y2022i15p9702-d882148.html
   My bibliography  Save this article

Heat Transfer Modeling on High-Temperature Charging and Discharging of Deep Borehole Heat Exchanger with Transient Strong Heat Flux

Author

Listed:
  • Yazhou Zhao

    (Institute of Refrigeration and Cryogenics, Zhejiang University, Hangzhou 310027, China
    Zhejiang Key Laboratory of Clean Energy and Carbon Neutrality, Hangzhou 310027, China)

  • Xiangxi Qin

    (College of Environmental Science and Engineering, Donghua University, Shanghai 201620, China
    Lily Group Co., Ltd., Hangzhou 311228, China)

  • Xiangyu Shi

    (College of Energy Engineering, Zhejiang University, Hangzhou 310027, China)

Abstract

High-temperature charging and discharging by deep borehole heat exchanger is typical of a large heat exchange temperature difference and transient strong heat flux. Simulation of this problem is not only computationally expensive, but it is also challenging in terms of robustness and stability for numerical methods. This paper formulates a generic and efficient heat transfer model with two distinctive novelties: Firstly, it highlights unsteady- and quasi-steady-state modeling strategies for heat transfer outside and inside a borehole. Secondly, this model provides analytical solutions for the heat front propagation and heat flux density distribution for unsteady-state heat transfer in the rock zone. These analytical formulations prove to be generic and critical to relieve computational effort in the face of strong heat flux. This model is validated by a typical high-temperature heat storage case from the literature, as well as the pilot demonstration project in China. It was discovered that a large prediction error of the heat transfer model only exists in very short operation days during the initial unsteady stages of charging and discharging. Both relative errors under charging and discharging phases are within 5% during the steady-state period. A comparison of the simulation cost with OpenGeoSys software demonstrates its high efficiency. It proves that this heat transfer model achieves an acceleration ratio of 30 times relative to the fully numerical method. In general, the heat transfer model has four advantages: generic applicability, good accuracy, easy implementation, and high efficiency, but it is limited to the heat transfer of a single deep borehole heat exchanger under pure heat conduction.

Suggested Citation

  • 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.
  • Handle: RePEc:gam:jsusta:v:14:y:2022:i:15:p:9702-:d:882148
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2071-1050/14/15/9702/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2071-1050/14/15/9702/
    Download Restriction: no
    ---><---

    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. Hu, Xincheng & Banks, Jonathan & Wu, Linping & Liu, Wei Victor, 2020. "Numerical modeling of a coaxial borehole heat exchanger to exploit geothermal energy from abandoned petroleum wells in Hinton, Alberta," Renewable Energy, Elsevier, vol. 148(C), pages 1110-1123.
    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. Huang, Yibin & Zhang, Yanjun & Xie, Yangyang & Zhang, Yu & Gao, Xuefeng & Ma, Jingchen, 2020. "Field test and numerical investigation on deep coaxial borehole heat exchanger based on distributed optical fiber temperature sensor," Energy, Elsevier, vol. 210(C).
    5. Yazhou Zhao & Zhibo Ma & Zhonghe Pang, 2020. "A Fast Simulation Approach to the Thermal Recovery Characteristics of Deep Borehole Heat Exchanger after Heat Extraction," Sustainability, MDPI, vol. 12(5), pages 1-27, March.
    6. 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.
    7. Wang, Huajun & Qi, Chengying & Wang, Enyu & Zhao, Jun, 2009. "A case study of underground thermal storage in a solar-ground coupled heat pump system for residential buildings," Renewable Energy, Elsevier, vol. 34(1), pages 307-314.
    8. 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.
    9. Flynn, Ciarán & Sirén, Kai, 2015. "Influence of location and design on the performance of a solar district heating system equipped with borehole seasonal storage," Renewable Energy, Elsevier, vol. 81(C), pages 377-388.
    Full references (including those not matched with items on IDEAS)

    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. 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).
    3. 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.
    4. 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.
    5. 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.
    6. Pokhrel, Sajjan & Sasmito, Agus P. & Sainoki, Atsushi & Tosha, Toshiyuki & Tanaka, Tatsuya & Nagai, Chiaki & Ghoreishi-Madiseh, Seyed Ali, 2022. "Field-scale experimental and numerical analysis of a downhole coaxial heat exchanger for geothermal energy production," Renewable Energy, Elsevier, vol. 182(C), pages 521-535.
    7. 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).
    8. Chen, Hongfei & Liu, Hongtao & Yang, Fuxin & Tan, Houzhang & Wang, Bangju, 2023. "Field measurements and numerical investigation on heat transfer characteristics and long-term performance of deep borehole heat exchangers," Renewable Energy, Elsevier, vol. 205(C), pages 1125-1136.
    9. Shah, Sheikh Khaleduzzaman & Aye, Lu & Rismanchi, Behzad, 2018. "Seasonal thermal energy storage system for cold climate zones: A review of recent developments," Renewable and Sustainable Energy Reviews, Elsevier, vol. 97(C), pages 38-49.
    10. 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.
    11. Xi, Chen & Hongxing, Yang & Lin, Lu & Jinggang, Wang & Wei, Liu, 2011. "Experimental studies on a ground coupled heat pump with solar thermal collectors for space heating," Energy, Elsevier, vol. 36(8), pages 5292-5300.
    12. 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.
    13. Yongjie Ma & Yanjun Zhang & Yuxiang Cheng & Yu Zhang & Xuefeng Gao & Kun Shan, 2022. "A Case Study of Field Thermal Response Test and Laboratory Test Based on Distributed Optical Fiber Temperature Sensor," Energies, MDPI, vol. 15(21), pages 1-20, October.
    14. 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.
    15. 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).
    16. Rehman, Hassam ur & Hirvonen, Janne & Sirén, Kai, 2018. "Performance comparison between optimized design of a centralized and semi-decentralized community size solar district heating system," Applied Energy, Elsevier, vol. 229(C), pages 1072-1094.
    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. Isa Kolo & Christopher S. Brown & Gioia Falcone & David Banks, 2023. "Repurposing a Geothermal Exploration Well as a Deep Borehole Heat Exchanger: Understanding Long-Term Effects of Lithological Layering, Flow Direction, and Circulation Flow Rate," Sustainability, MDPI, vol. 15(5), pages 1-24, February.
    19. Yao, Jian & Liu, Wenjie & Zhang, Lu & Tian, Binshou & Dai, Yanjun & Huang, Mingjun, 2020. "Performance analysis of a residential heating system using borehole heat exchanger coupled with solar assisted PV/T heat pump," Renewable Energy, Elsevier, vol. 160(C), pages 160-175.
    20. huajun, Wang & Yishuo, Xu & Yukun, Sun & Sumin, Zhao, 2022. "Heat extraction by deep coaxial borehole heat exchanger for clean space heating near Beijing, China: Field test, model comparison and operation pattern evaluation," Renewable Energy, Elsevier, vol. 199(C), pages 803-815.

    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:gam:jsusta:v:14:y:2022:i:15:p:9702-:d:882148. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.