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Empirical formulas for borehole thermal resistance of parallel U-type cast-in-place energy pile

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  • Park, Sangwoo
  • Lee, Seokjae
  • Park, Sangyeong
  • Choi, Hangseok

Abstract

The borehole thermal resistance (mK/W) is an essential design factor of a ground source heat pump system, which allows to predict changes in the circulating fluid temperature. However, there are no proven and/or practical solutions to the borehole thermal resistance of ground heat exchangers with large borehole diameters and multiple U-type pipes, such as a large-diameter cast-in-place energy pile. In this study, empirical formulas were provided to estimate the borehole thermal resistances of large-diameter cast-in-place energy piles equipped with multiple pairs of U-type heat exchange pipes. First, the borehole thermal resistances of parallel U-type energy piles were evaluated through a series of in-situ thermal performance tests. Then, a numerical model for parallel U-type energy piles was developed and verified using the field test results. With the developed numerical model, the effects of various influencing factors on the borehole thermal resistances of parallel U-type energy piles were identified. Finally, empirical formulas were developed and verified by comparing with the field tests and numerical simulations. Consequently, the empirical formulas could predict the borehole thermal resistance of parallel U-type energy piles with a difference of less than 0.23% compared to the numerical model and 6.4% compared to the field test results.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:renene:v:197:y:2022:i:c:p:211-227
    DOI: 10.1016/j.renene.2022.07.077
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    References listed on IDEAS

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    1. Li, Min & Li, Ping & Chan, Vincent & Lai, Alvin C.K., 2014. "Full-scale temperature response function (G-function) for heat transfer by borehole ground heat exchangers (GHEs) from sub-hour to decades," Applied Energy, Elsevier, vol. 136(C), pages 197-205.
    2. Javed, Saqib & Spitler, Jeffrey, 2017. "Accuracy of borehole thermal resistance calculation methods for grouted single U-tube ground heat exchangers," Applied Energy, Elsevier, vol. 187(C), pages 790-806.
    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. 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.
    5. 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.
    6. Li, Min & Lai, Alvin C.K., 2012. "New temperature response functions (G functions) for pile and borehole ground heat exchangers based on composite-medium line-source theory," Energy, Elsevier, vol. 38(1), pages 255-263.
    7. Park, Sangwoo & Lee, Seokjae & Sung, Chihun & Choi, Hangseok, 2021. "Applicability evaluation of cast-in-place energy piles based on two-year heating and cooling operation," Renewable and Sustainable Energy Reviews, Elsevier, vol. 143(C).
    8. Park, Sangwoo & Lee, Dongseop & Lee, Seokjae & Chauchois, Alexis & Choi, Hangseok, 2017. "Experimental and numerical analysis on thermal performance of large-diameter cast-in-place energy pile constructed in soft ground," Energy, Elsevier, vol. 118(C), pages 297-311.
    9. Sangwoo Park & Seokjae Lee & Hyobum Lee & Khanh Pham & Hangseok Choi, 2016. "Effect of Borehole Material on Analytical Solutions of the Heat Transfer Model of Ground Heat Exchangers Considering Groundwater Flow," Energies, MDPI, vol. 9(5), pages 1-19, April.
    10. Johan Claesson & Saqib Javed, 2020. "Explicit Multipole Formula for the Local Thermal Resistance in an Energy Pile—The Line-Source Approximation," Energies, MDPI, vol. 13(20), pages 1-24, October.
    11. Park, Sangwoo & Lee, Dongseop & Choi, Hyun-Jun & Jung, Kyoungsik & Choi, Hangseok, 2015. "Relative constructability and thermal performance of cast-in-place concrete energy pile: Coil-type GHEX (ground heat exchanger)," Energy, Elsevier, vol. 81(C), pages 56-66.
    12. Faizal, Mohammed & Bouazza, Abdelmalek & McCartney, John S., 2022. "Thermal resistance analysis of an energy pile and adjacent soil using radial temperature gradients," Renewable Energy, Elsevier, vol. 190(C), pages 1066-1077.
    13. Zhang, Changxing & Guo, Zhanjun & Liu, Yufeng & Cong, Xiaochun & Peng, Donggen, 2014. "A review on thermal response test of ground-coupled heat pump systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 40(C), pages 851-867.
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