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Review of analytical models for heat transfer by vertical ground heat exchangers (GHEs): A perspective of time and space scales

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  • Li, Min
  • Lai, Alvin C.K.

Abstract

Ground (or geothermal) heat exchangers are attracting a great deal of attention as a way of using shallow geothermal energy. This paper provides not only a critical review but also a thorough introduction to the analysis of heat transfer by borehole and foundation pile ground heat exchangers, with an emphasis on different analytical models. The literature is reviewed in a time-scale framework because of the diversity of the time and space scales involved in the thermal processes of ground heat exchangers. We summarize, discuss, and evaluate major advances in this field, including heat-source models, short-time models, models for energy piles, in situ thermal-response tests, indoor sandbox experiments, and parameter estimation as an inverse problem. Of particular note is that the unit-step temperature response (i.e., G-function) of a ground heat exchanger with one U-shaped pipe is calculated; and six analytical models are compared: an infinite cylinder-source model, two infinite line-source models, two finite line-source models, and a composite-medium line-source model. This paper closes by identifying several unsolved problems that require solutions.

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  • 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.
    • Handle: RePEc:eee:appene:v:151:y:2015:i:c:p:178-191
    DOI: 10.1016/j.apenergy.2015.04.070
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    1. Hwang, Suckho & Ooka, Ryozo & Nam, Yujin, 2010. "Evaluation of estimation method of ground properties for the ground source heat pump system," Renewable Energy, Elsevier, vol. 35(9), pages 2123-2130.
    2. Mustafa Omer, Abdeen, 2008. "Ground-source heat pumps systems and applications," Renewable and Sustainable Energy Reviews, Elsevier, vol. 12(2), pages 344-371, February.
    3. Pasquier, Philippe & Marcotte, Denis, 2012. "Short-term simulation of ground heat exchanger with an improved TRCM," Renewable Energy, Elsevier, vol. 46(C), pages 92-99.
    4. 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.
    5. Roth, P. & Georgiev, A. & Busso, A. & Barraza, E., 2004. "First in situ determination of ground and borehole thermal properties in Latin America," Renewable Energy, Elsevier, vol. 29(12), pages 1947-1963.
    6. Zhai, X.Q. & Qu, M. & Yu, X. & Yang, Y. & Wang, R.Z., 2011. "A review for the applications and integrated approaches of ground-coupled heat pump systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 15(6), pages 3133-3140, August.
    7. Sharqawy, Mostafa H. & Said, S.A. & Mokheimer, E.M. & Habib, M.A. & Badr, H.M. & Al-Shayea, N.A., 2009. "First in situ determination of the ground thermal conductivity for boreholeheat exchanger applications in Saudi Arabia," Renewable Energy, Elsevier, vol. 34(10), pages 2218-2223.
    8. Lee, Jin-Yong, 2009. "Current status of ground source heat pumps in Korea," Renewable and Sustainable Energy Reviews, Elsevier, vol. 13(6-7), pages 1560-1568, August.
    9. 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.
    10. Zarrella, Angelo & Scarpa, Massimiliano & De Carli, Michele, 2011. "Short time step analysis of vertical ground-coupled heat exchangers: The approach of CaRM," Renewable Energy, Elsevier, vol. 36(9), pages 2357-2367.
    11. Michopoulos, [alpha]. & [Kappa]yriakis, [Nu]., 2009. "Predicting the fluid temperature at the exit of the vertical ground heat exchangers," Applied Energy, Elsevier, vol. 86(10), pages 2065-2070, October.
    12. Lee, C.K., 2011. "Effects of multiple ground layers on thermal response test analysis and ground-source heat pump simulation," Applied Energy, Elsevier, vol. 88(12), pages 4405-4410.
    13. de Moel, Monique & Bach, Peter M. & Bouazza, Abdelmalek & Singh, Rao M. & Sun, JingLiang O., 2010. "Technological advances and applications of geothermal energy pile foundations and their feasibility in Australia," Renewable and Sustainable Energy Reviews, Elsevier, vol. 14(9), pages 2683-2696, December.
    14. 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.
    15. Claesson, Johan & Eskilson, Per, 1988. "Conductive heat extraction to a deep borehole: Thermal analyses and dimensioning rules," Energy, Elsevier, vol. 13(6), pages 509-527.
    16. Florides, Georgios & Kalogirou, Soteris, 2007. "Ground heat exchangers—A review of systems, models and applications," Renewable Energy, Elsevier, vol. 32(15), pages 2461-2478.
    17. Loveridge, Fleur & Powrie, William, 2014. "G-Functions for multiple interacting pile heat exchangers," Energy, Elsevier, vol. 64(C), pages 747-757.
    18. Zhang, Wenke & Yang, Hongxing & Lu, Lin & Fang, Zhaohong, 2013. "The analysis on solid cylindrical heat source model of foundation pile ground heat exchangers with groundwater flow," Energy, Elsevier, vol. 55(C), pages 417-425.
    19. Li, Min & Lai, Alvin C.K., 2012. "Heat-source solutions to heat conduction in anisotropic media with application to pile and borehole ground heat exchangers," Applied Energy, Elsevier, vol. 96(C), pages 451-458.
    20. Lee, C.K. & Lam, H.N., 2012. "A modified multi-ground-layer model for borehole ground heat exchangers with an inhomogeneous groundwater flow," Energy, Elsevier, vol. 47(1), pages 378-387.
    21. Marcotte, D. & Pasquier, P., 2014. "Unit-response function for ground heat exchanger with parallel, series or mixed borehole arrangement," Renewable Energy, Elsevier, vol. 68(C), pages 14-24.
    22. 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.
    23. Yuan, Yanping & Cao, Xiaoling & Sun, Liangliang & Lei, Bo & Yu, Nanyang, 2012. "Ground source heat pump system: A review of simulation in China," Renewable and Sustainable Energy Reviews, Elsevier, vol. 16(9), pages 6814-6822.
    24. Koohi-Fayegh, Seama & Rosen, Marc A., 2012. "Examination of thermal interaction of multiple vertical ground heat exchangers," Applied Energy, Elsevier, vol. 97(C), pages 962-969.
    25. Ruiz-Calvo, F. & De Rosa, M. & Acuña, J. & Corberán, J.M. & Montagud, C., 2015. "Experimental validation of a short-term Borehole-to-Ground (B2G) dynamic model," Applied Energy, Elsevier, vol. 140(C), pages 210-223.
    26. Cui, Ping & Li, Xin & Man, Yi & Fang, Zhaohong, 2011. "Heat transfer analysis of pile geothermal heat exchangers with spiral coils," Applied Energy, Elsevier, vol. 88(11), pages 4113-4119.
    27. Zanchini, E. & Lazzari, S., 2014. "New g-functions for the hourly simulation of double U-tube borehole heat exchanger fields," Energy, Elsevier, vol. 70(C), pages 444-455.
    28. 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.
    29. Li, Min & Lai, Alvin C.K., 2013. "Analytical model for short-time responses of ground heat exchangers with U-shaped tubes: Model development and validation," Applied Energy, Elsevier, vol. 104(C), pages 510-516.
    30. Gao, Jun & Zhang, Xu & Liu, Jun & Li, Kuishan & Yang, Jie, 2008. "Numerical and experimental assessment of thermal performance of vertical energy piles: An application," Applied Energy, Elsevier, vol. 85(10), pages 901-910, October.
    31. Lee, C.K. & Lam, H.N., 2013. "A simplified model of energy pile for ground-source heat pump systems," Energy, Elsevier, vol. 55(C), pages 838-845.
    32. 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.
    33. Mottaghy, Darius & Dijkshoorn, Lydia, 2012. "Implementing an effective finite difference formulation for borehole heat exchangers into a heat and mass transport code," Renewable Energy, Elsevier, vol. 45(C), pages 59-71.
    34. Zarrella, Angelo & De Carli, Michele, 2013. "Heat transfer analysis of short helical borehole heat exchangers," Applied Energy, Elsevier, vol. 102(C), pages 1477-1491.
    35. Bozzoli, F. & Pagliarini, G. & Rainieri, S. & Schiavi, L., 2011. "Estimation of soil and grout thermal properties through a TSPEP (two-step parameter estimation procedure) applied to TRT (thermal response test) data," Energy, Elsevier, vol. 36(2), pages 839-846.
    36. Loveridge, Fleur & Powrie, William, 2013. "Temperature response functions (G-functions) for single pile heat exchangers," Energy, Elsevier, vol. 57(C), pages 554-564.
    37. Wu, Wei & Wang, Baolong & You, Tian & Shi, Wenxing & Li, Xianting, 2013. "A potential solution for thermal imbalance of ground source heat pump systems in cold regions: Ground source absorption heat pump," Renewable Energy, Elsevier, vol. 59(C), pages 39-48.
    38. Bayer, Peter & Saner, Dominik & Bolay, Stephan & Rybach, Ladislaus & Blum, Philipp, 2012. "Greenhouse gas emission savings of ground source heat pump systems in Europe: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 16(2), pages 1256-1267.
    39. Marcotte, D. & Pasquier, P., 2008. "On the estimation of thermal resistance in borehole thermal conductivity test," Renewable Energy, Elsevier, vol. 33(11), pages 2407-2415.
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