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The coupled two-step parameter estimation procedure for borehole thermal resistance in thermal response test

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  • Zhang, Changxing
  • Xu, Hang
  • Fan, Jianhua
  • Sun, Pengkun
  • Sun, Shicai
  • Kong, Xiangqiang

Abstract

The ground thermal properties and borehole thermal resistance are the essential parameters for the design of borehole heat exchanger (BHE) field, and they are usually estimated using the experimental inlet/outlet fluid temperatures of BHE in thermal response test (TRT). This paper proposes the coupled two-step parameter estimation procedure (TSPEP) for estimating ground thermal conductivity and borehole thermal resistance of BHE by evaluating the actual averaged–over-the –depth mean fluid temperature (MFT) using the quasi-three-dimensional model inside the borehole. The simulated annealing algorithm (SAA) is used to iteratively find the minimum values of the two objective functions to obtain the optimal estimated results. In TSPEP, the estimated ground volumetric heat capacity and weighted factor f in the 1st step are transferred to calculate MFT using the experimental data in the 2nd step, which guarantees the direct approach based on the infinite line source model (ILSM)applied to improve the accuracy of the estimated borehole thermal resistance. For 50 m depth BHE, the estimated borehole thermal resistance is increased by 12.1% using TSPEP than the effective borehole thermal resistance evaluated by the arithmetic average fluid temperature (AFT). The estimated ground thermal conductivity in TSPEP is almost same with that from the direct approach based on ILSM, and the maximum relative error between them is only 0.91% even though borehole depth of BHE changes from 50 m to 200 m.

Suggested Citation

  • Zhang, Changxing & Xu, Hang & Fan, Jianhua & Sun, Pengkun & Sun, Shicai & Kong, Xiangqiang, 2020. "The coupled two-step parameter estimation procedure for borehole thermal resistance in thermal response test," Renewable Energy, Elsevier, vol. 154(C), pages 672-683.
    • Handle: RePEc:eee:renene:v:154:y:2020:i:c:p:672-683
    DOI: 10.1016/j.renene.2020.03.019
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    References listed on IDEAS

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    1. Zanchini, Enzo & Jahanbin, Aminhossein, 2018. "Simple equations to evaluate the mean fluid temperature of double-U-tube borehole heat exchangers," Applied Energy, Elsevier, vol. 231(C), pages 320-330.
    2. Zhang, Changxing & Wang, Xinjie & Sun, Pengkun & Kong, Xiangqiang & Sun, Shicai, 2020. "Effect of depth and fluid flow rate on estimate for borehole thermal resistance of single U-pipe borehole heat exchanger," Renewable Energy, Elsevier, vol. 147(P1), pages 2399-2408.
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    Cited by:

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    2. Aminhossein Jahanbin & Giovanni Semprini & Andrea Natale Impiombato & Cesare Biserni & Eugenia Rossi di Schio, 2020. "Effects of the Circuit Arrangement on the Thermal Performance of Double U-Tube Ground Heat Exchangers," Energies, MDPI, vol. 13(12), pages 1-19, June.
    3. Du, Yufang & Li, Min & Li, Yong & Lai, Alvin CK., 2023. "Tikhonov regularization stabilizes multi-parameter estimation of geothermal heat exchangers," Energy, Elsevier, vol. 262(PB).
    4. Aizhao Zhou & Xianwen Huang & Wei Wang & Pengming Jiang & Xinwei Li, 2021. "Thermo-Hydraulic Performance of U-Tube Borehole Heat Exchanger with Different Cross-Sections," Sustainability, MDPI, vol. 13(6), pages 1-20, March.
    5. Zhang, Xueping & Han, Zongwei & Li, Gui & Li, Xiuming, 2022. "Effect of temperature measurement error on parameters estimation accuracy for thermal response tests," Renewable Energy, Elsevier, vol. 185(C), pages 230-240.
    6. Park, Sangwoo & Lee, Seokjae & Park, Sangyeong & Choi, Hangseok, 2022. "Empirical formulas for borehole thermal resistance of parallel U-type cast-in-place energy pile," Renewable Energy, Elsevier, vol. 197(C), pages 211-227.
    7. Zhang, Changxing & Lu, Jiahui & Wang, Xinjie & Xu, Hang & Sun, Shicai, 2022. "Effect of geological stratification on estimated accuracy of ground thermal parameters in thermal response test," Renewable Energy, Elsevier, vol. 186(C), pages 585-595.

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