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Estimation method of layered ground thermal conductivity for U-tube BHE based on the quasi-3D model

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  • Deng, Zhenpeng
  • Nian, Yongle
  • Cheng, Wen-long

Abstract

The distribution of ground thermal conductivity (λs) is a significant consideration for the design of ground source heat pump systems. This paper proposed a new method to estimate the layered λs for U-tube borehole heat exchanger (BHE) using particle swarm optimization (PSO) and distributed thermal response test (DTRT) data. Firstly, a quasi-3D heat transfer model considering geothermal gradient for U-tube BHE had been built to simulate fluid temperature profiles. And the experiment in DTRT was performed using a 45 m sandbox. Then, the layered λs were estimated through PSO and DTRT data based on the established model. The results showed that the convergent λs distribution could be reliably obtained by short-term DTRT. Furthermore, the estimation results are independent of the number of layers and data points. The mean difference in λs distribution between 9 layers and 45 layers is 0.007 W/(m∙K) and the layered λs also could be obtained when the number of layers is more than the number of temperature data points, and the root mean square error between 30 and 220 points is less than 0.3 W/(m∙K).

Suggested Citation

  • Deng, Zhenpeng & Nian, Yongle & Cheng, Wen-long, 2023. "Estimation method of layered ground thermal conductivity for U-tube BHE based on the quasi-3D model," Renewable Energy, Elsevier, vol. 213(C), pages 121-133.
    • Handle: RePEc:eee:renene:v:213:y:2023:i:c:p:121-133
    DOI: 10.1016/j.renene.2023.05.114
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    References listed on IDEAS

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    1. Spitler, Jeffrey D. & Gehlin, Signhild E.A., 2015. "Thermal response testing for ground source heat pump systems—An historical review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 50(C), pages 1125-1137.
    2. Choi, Wonjun & Ooka, Ryozo, 2016. "Effect of disturbance on thermal response test, part 2: Numerical study of applicability and limitation of infinite line source model for interpretation under disturbance from outdoor environment," Renewable Energy, Elsevier, vol. 85(C), pages 1090-1105.
    3. Mustafa Omer, Abdeen, 2008. "Ground-source heat pumps systems and applications," Renewable and Sustainable Energy Reviews, Elsevier, vol. 12(2), pages 344-371, February.
    4. Zhang, Changxing & Song, Wei & Liu, Yufeng & Kong, Xiangqiang & Wang, Qing, 2019. "Effect of vertical ground temperature distribution on parameter estimation of in-situ thermal response test with unstable heat rate," Renewable Energy, Elsevier, vol. 136(C), pages 264-274.
    5. Zhang, Changxing & Song, Wei & Sun, Shicai & Peng, Donggen, 2015. "Parameter estimation of in-situ thermal response test with unstable heat rate," Energy, Elsevier, vol. 88(C), pages 497-505.
    6. Soldo, Vladimir & Boban, Luka & Borović, Staša, 2016. "Vertical distribution of shallow ground thermal properties in different geological settings in Croatia," Renewable Energy, Elsevier, vol. 99(C), pages 1202-1212.
    7. Self, Stuart J. & Reddy, Bale V. & Rosen, Marc A., 2013. "Geothermal heat pump systems: Status review and comparison with other heating options," Applied Energy, Elsevier, vol. 101(C), pages 341-348.
    8. Wilke, Sascha & Menberg, Kathrin & Steger, Hagen & Blum, Philipp, 2020. "Advanced thermal response tests: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 119(C).
    9. Yanjun Zhang & Ling Zhou & Zhongjun Hu & Ziwang Yu & Shuren Hao & Zhihong Lei & Yangyang Xie, 2018. "Prediction of Layered Thermal Conductivity Using Artificial Neural Network in Order to Have Better Design of Ground Source Heat Pump System," Energies, MDPI, vol. 11(7), pages 1-25, July.
    10. Acuña, José & Palm, Björn, 2013. "Distributed thermal response tests on pipe-in-pipe borehole heat exchangers," Applied Energy, Elsevier, vol. 109(C), pages 312-320.
    11. 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.
    12. Gustafsson, A.-M. & Westerlund, L., 2010. "Multi-injection rate thermal response test in groundwater filled borehole heat exchanger," Renewable Energy, Elsevier, vol. 35(5), pages 1061-1070.
    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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