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Generic ground response functions for ground exchangers in the presence of groundwater flow

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  • Tye-Gingras, Maxime
  • Gosselin, Louis

Abstract

This paper describes a procedure for computing time-dependent ground response functions (G) of vertical ground exchangers in the presence of groundwater flow. The comprehensive methodology can account for multi-borehole fields and allows predicting accurately heat transfer over a large range of design parameters, ground properties and time scales. It combines two analytical models: infinite cylinder source (ICS) and moving finite line source (MFLS). A new mathematical development is introduced to enhance the computational efficiency of the G-functions with the MFLS model. The precision of the models as a function of time is verified with finite-element modeling. An application-oriented procedure allows expressing the G-functions as a function of all the variables by combining graphical tools and correlation fittings. This procedure is developed specifically to be easily implemented in borehole design methods. The G-functions obtained by this method are in good agreement (R2 = 0.9934) with the analytical solution developed, over the prescribed range of variables.

Suggested Citation

  • Tye-Gingras, Maxime & Gosselin, Louis, 2014. "Generic ground response functions for ground exchangers in the presence of groundwater flow," Renewable Energy, Elsevier, vol. 72(C), pages 354-366.
    • Handle: RePEc:eee:renene:v:72:y:2014:i:c:p:354-366
    DOI: 10.1016/j.renene.2014.07.026
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    References listed on IDEAS

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    1. Rivera, Jaime A. & Blum, Philipp & Bayer, Peter, 2015. "Ground energy balance for borehole heat exchangers: Vertical fluxes, groundwater and storage," Renewable Energy, Elsevier, vol. 83(C), pages 1341-1351.
    2. Han, Chanjuan & Yu, Xiong (Bill), 2016. "Sensitivity analysis of a vertical geothermal heat pump system," Applied Energy, Elsevier, vol. 170(C), pages 148-160.
    3. Hu, Jinzhong, 2017. "An improved analytical model for vertical borehole ground heat exchanger with multiple-layer substrates and groundwater flow," Applied Energy, Elsevier, vol. 202(C), pages 537-549.
    4. Rivera, Jaime A. & Blum, Philipp & Bayer, Peter, 2016. "A finite line source model with Cauchy-type top boundary conditions for simulating near surface effects on borehole heat exchangers," Energy, Elsevier, vol. 98(C), pages 50-63.
    5. 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.
    6. Rivera, Jaime A. & Blum, Philipp & Bayer, Peter, 2016. "Influence of spatially variable ground heat flux on closed-loop geothermal systems: Line source model with nonhomogeneous Cauchy-type top boundary conditions," Applied Energy, Elsevier, vol. 180(C), pages 572-585.
    7. Wenke Zhang & Hongxing Yang & Lin Lu & Zhaohong Fang, 2017. "Investigation on the heat transfer of energy piles with two-dimensional groundwater flow," International Journal of Low-Carbon Technologies, Oxford University Press, vol. 12(1), pages 43-50.
    8. Zhao, Zilong & Lin, Yu-Feng & Stumpf, Andrew & Wang, Xinlei, 2022. "Assessing impacts of groundwater on geothermal heat exchangers: A review of methodology and modeling," Renewable Energy, Elsevier, vol. 190(C), pages 121-147.
    9. Rivera, Jaime A. & Blum, Philipp & Bayer, Peter, 2015. "Analytical simulation of groundwater flow and land surface effects on thermal plumes of borehole heat exchangers," Applied Energy, Elsevier, vol. 146(C), pages 421-433.
    10. 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.

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