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A Fast Simulation Approach to the Thermal Recovery Characteristics of Deep Borehole Heat Exchanger after Heat Extraction

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  • Yazhou Zhao

    (Key Laboratory of Shale Gas and Geoengineering, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China
    Innovation Academy for Earth Science, Chinese Academy of Sciences, Beijing 100029, China
    College of Earth and Planetary Sciences, University of Chinese Academy of Sciences, Beijing 100049, China)

  • Zhibo Ma

    (Institute of Applied Physics and Computational Mathematics, Beijing 100094, China)

  • Zhonghe Pang

    (Key Laboratory of Shale Gas and Geoengineering, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China
    Innovation Academy for Earth Science, Chinese Academy of Sciences, Beijing 100029, China
    College of Earth and Planetary Sciences, University of Chinese Academy of Sciences, Beijing 100049, China)

Abstract

Necessary intermittence after heat extraction for a deep borehole heat exchanger (DBHE) is beneficial for sustainable operation. This paper centers on the fast simulation for thermal recovery characteristics of DBHE under intermittent condition. First of all, in view of the existing temperature gradient and multi-layer heterogeneity of rock underground that could never be ignored for DBHE, we extend the classical finite line source model based on heat source theory and superposition principle to account for the vertical heat flux distribution varying along depth and heterogeneous thermal conductivities in the multi-layer rock zone. Moreover, a fast simulation approach for heat transfer analysis inside the borehole coupled with the extended finite line source model is put forward to depict the transient thermal response and dynamic thermal recovery of rock outside borehole. To the authors’ knowledge, no such algorithm for deep BHE has yet been suggested in the previous literature. This approach has proven to be reliable and efficient enough for DBHE simulation under the intermittent condition. Simulation results show that at least 65 days of intermittence for the model in study should be spared after the heating season to achieve sustainable heat extraction in the next cyclic operation. Compared to the detailed solution based on full discretization numerical schemes, the relative error for borehole bottom temperature was 0.79%. In addition, comparison of the simulation results for thermal performance during the heating season in a three-year cyclic operation with 205 days intermittence shows that both the outflow temperature and heat extraction rate in the subsequent cycle after intermittence are in good agreement with the full 3D numerical solution in the reference (with a relative error of 6.36% for the outflow temperature and 9.3% for the heat extraction rate). Regarding the calculation speed, around a 13 times acceleration can be achieved. Finally, it is also promising to be applicable for thermal recovery simulation after heat extraction of vertical closed loop borehole heat exchangers at arbitrary length from shallow to deep.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jsusta:v:12:y:2020:i:5:p:2021-:d:329202
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    References listed on IDEAS

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    Cited by:

    1. Alshehri, Faisal & Beck, Stephen & Ingham, Derek & Ma, Lin & Pourkashanian, Mohammed, 2021. "Sensitivity analysis of a vertical geothermal heat pump system in a hot dry climate," Renewable Energy, Elsevier, vol. 178(C), pages 785-801.
    2. 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).
    3. Theo Renaud & Lehua Pan & Hannah Doran & Gioia Falcone & Patrick G. Verdin, 2021. "Numerical Analysis of Enhanced Conductive Deep Borehole Heat Exchangers," Sustainability, MDPI, vol. 13(12), pages 1-21, June.
    4. 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.
    5. Changlong Wang & Han Fang & Xin Wang & Jinli Lu & Yanhong Sun, 2022. "Study on the Influence of Borehole Heat Capacity on Deep Coaxial Borehole Heat Exchanger," Sustainability, MDPI, vol. 14(4), pages 1-11, February.

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