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Implementing an effective finite difference formulation for borehole heat exchangers into a heat and mass transport code

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  • Mottaghy, Darius
  • Dijkshoorn, Lydia

Abstract

We present an effective finite difference formulation for implementing and modeling multiple borehole heat exchangers (BHE) in the general 3-D coupled heat and flow transport code SHEMAT. The BHE with arbitrary length can be either coaxial or double U-shaped. It is particularly suitable for modeling deep BHEs which contain varying pipe diameters and materials.

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  • 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.
    • Handle: RePEc:eee:renene:v:45:y:2012:i:c:p:59-71
    DOI: 10.1016/j.renene.2012.02.013
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    1. Florides, Georgios & Kalogirou, Soteris, 2007. "Ground heat exchangers—A review of systems, models and applications," Renewable Energy, Elsevier, vol. 32(15), pages 2461-2478.
    2. De Carli, Michele & Tonon, Massimo & Zarrella, Angelo & Zecchin, Roberto, 2010. "A computational capacity resistance model (CaRM) for vertical ground-coupled heat exchangers," Renewable Energy, Elsevier, vol. 35(7), pages 1537-1550.
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    3. 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.
    4. Shibin Geng & Yong Li & Xu Han & Huiliang Lian & Hua Zhang, 2016. "Evaluation of Thermal Anomalies in Multi-Boreholes Field Considering the Effects of Groundwater Flow," Sustainability, MDPI, vol. 8(6), pages 1-19, June.
    5. Lyden, A. & Brown, C.S. & Kolo, I. & Falcone, G. & Friedrich, D., 2022. "Seasonal thermal energy storage in smart energy systems: District-level applications and modelling approaches," Renewable and Sustainable Energy Reviews, Elsevier, vol. 167(C).
    6. Rees, Simon J., 2015. "An extended two-dimensional borehole heat exchanger model for simulation of short and medium timescale thermal response," Renewable Energy, Elsevier, vol. 83(C), pages 518-526.
    7. Somogyi, Viola & Sebestyén, Viktor & Nagy, Georgina, 2017. "Scientific achievements and regulation of shallow geothermal systems in six European countries – A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 68(P2), pages 934-952.
    8. Nian, Yong-Le & Cheng, Wen-Long, 2018. "Insights into geothermal utilization of abandoned oil and gas wells," Renewable and Sustainable Energy Reviews, Elsevier, vol. 87(C), pages 44-60.
    9. Huang, Shuai & Zhu, Ke & Dong, Jiankai & Li, Ji & Kong, Weizheng & Jiang, Yiqiang & Fang, Zhaohong, 2022. "Heat transfer performance of deep borehole heat exchanger with different operation modes," Renewable Energy, Elsevier, vol. 193(C), pages 645-656.
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    11. Cui, Yuanlong & Zhu, Jie & Twaha, Ssennoga & Riffat, Saffa, 2018. "A comprehensive review on 2D and 3D models of vertical ground heat exchangers," Renewable and Sustainable Energy Reviews, Elsevier, vol. 94(C), pages 84-114.
    12. Holmberg, Henrik & Acuña, José & Næss, Erling & Sønju, Otto K., 2016. "Thermal evaluation of coaxial deep borehole heat exchangers," Renewable Energy, Elsevier, vol. 97(C), pages 65-76.
    13. Pokhrel, Sajjan & Sasmito, Agus P. & Sainoki, Atsushi & Tosha, Toshiyuki & Tanaka, Tatsuya & Nagai, Chiaki & Ghoreishi-Madiseh, Seyed Ali, 2022. "Field-scale experimental and numerical analysis of a downhole coaxial heat exchanger for geothermal energy production," Renewable Energy, Elsevier, vol. 182(C), pages 521-535.
    14. Ma, WeiWu & Li, Min & Li, Ping & Lai, Alvin C.K., 2015. "New quasi-3D model for heat transfer in U-shaped GHEs (ground heat exchangers): Effective overall thermal resistance," Energy, Elsevier, vol. 90(P1), pages 578-587.
    15. Alimonti, C. & Conti, P. & Soldo, E., 2021. "Producing geothermal energy with a deep borehole heat exchanger: Exergy optimization of different applications and preliminary design criteria," Energy, Elsevier, vol. 220(C).
    16. Li, Chao & Guan, Yanling & Liu, Jianhong & Jiang, Chao & Yang, Ruitao & Hou, Xueming, 2020. "Heat transfer performance of a deep ground heat exchanger for building heating in long-term service," Renewable Energy, Elsevier, vol. 166(C), pages 20-34.
    17. Jiewen Deng & Qingpeng Wei & Shi He & Mei Liang & Hui Zhang, 2020. "Simulation Analysis on the Heat Performance of Deep Borehole Heat Exchangers in Medium-Depth Geothermal Heat Pump Systems," Energies, MDPI, vol. 13(3), pages 1-28, February.
    18. 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.
    19. Beck, Markus & Bayer, Peter & de Paly, Michael & Hecht-Méndez, Jozsef & Zell, Andreas, 2013. "Geometric arrangement and operation mode adjustment in low-enthalpy geothermal borehole fields for heating," Energy, Elsevier, vol. 49(C), pages 434-443.

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