IDEAS home Printed from https://ideas.repec.org/a/eee/renene/v68y2014icp14-24.html
   My bibliography  Save this article

Unit-response function for ground heat exchanger with parallel, series or mixed borehole arrangement

Author

Listed:
  • Marcotte, D.
  • Pasquier, P.

Abstract

A novel approach is presented that allows to predict fluid temperatures entering a Ground Heat Exchanger (GHE) for parallel, series and mixed arrangements of boreholes. The method determines at each time step the heat transfer rates occurring at each borehole so as to reproduce the fluid temperature at the GHE inlet for a specific borehole arrangement. The analytical finite line source model is used to compute the borehole wall temperatures, whereas the fluid temperatures are assumed to vary linearly along the pipes. The method requires to solve a linear system of equations at a small number of time steps. The different systems of equations for each arrangement are determined. A comprehensive 3D finite element numerical model shows good agreement with the computed fluid temperatures. The proposed approach is computationally very efficient. The fluid temperature unit response function can be convolved with any desired heat load to estimate fluid temperatures at the GHE inlet for a wide variety of scenarios.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:renene:v:68:y:2014:i:c:p:14-24
    DOI: 10.1016/j.renene.2014.01.023
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960148114000524
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.renene.2014.01.023?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. Lazzarotto, Alberto, 2014. "A network-based methodology for the simulation of borehole heat storage systems," Renewable Energy, Elsevier, vol. 62(C), pages 265-275.
    3. 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.
    4. Lamarche, Louis, 2009. "A fast algorithm for the hourly simulations of ground-source heat pumps using arbitrary response factors," Renewable Energy, Elsevier, vol. 34(10), pages 2252-2258.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Nguyen, A. & Pasquier, P., 2021. "A successive flux estimation method for rapid g-function construction of small to large-scale ground heat exchanger," Renewable Energy, Elsevier, vol. 165(P1), pages 359-368.
    2. Mahon, Harry & O'Connor, Dominic & Friedrich, Daniel & Hughes, Ben, 2022. "A review of thermal energy storage technologies for seasonal loops," Energy, Elsevier, vol. 239(PC).
    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. Fascì, Maria Letizia & Mazzotti Pallard, Willem & Lazzarotto, Alberto & Claesson, Joachim, 2023. "Temperature of energy boreholes accounting for climate change and the built environment – A new model for its estimation," Renewable Energy, Elsevier, vol. 202(C), pages 1479-1496.
    5. Paludetto, Delphine & Lorente, Sylvie, 2016. "Modeling the heat exchanges between a datacenter and neighboring buildings through an underground loop," Renewable Energy, Elsevier, vol. 93(C), pages 502-509.
    6. Başer, Tuğçe & McCartney, John S., 2020. "Transient evaluation of a soil-borehole thermal energy storage system," Renewable Energy, Elsevier, vol. 147(P2), pages 2582-2598.
    7. Dusseault, Bernard & Pasquier, Philippe & Marcotte, Denis, 2018. "A block matrix formulation for efficient g-function construction," Renewable Energy, Elsevier, vol. 121(C), pages 249-260.
    8. Cimmino, Massimo, 2024. "g-Functions for fields of series- and parallel-connected boreholes with variable fluid mass flow rate and reversible flow direction," Renewable Energy, Elsevier, vol. 228(C).
    9. Matt S. Mitchell & Jeffrey D. Spitler, 2020. "An Enhanced Vertical Ground Heat Exchanger Model for Whole-Building Energy Simulation," Energies, MDPI, vol. 13(16), pages 1-27, August.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Anjan Rao Puttige & Staffan Andersson & Ronny Östin & Thomas Olofsson, 2020. "A Novel Analytical-ANN Hybrid Model for Borehole Heat Exchanger," Energies, MDPI, vol. 13(23), pages 1-19, November.
    2. Carotenuto, Alberto & Ciccolella, Michela & Massarotti, Nicola & Mauro, Alessandro, 2016. "Models for thermo-fluid dynamic phenomena in low enthalpy geothermal energy systems: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 60(C), pages 330-355.
    3. Beaudry, Gabrielle & Pasquier, Philippe & Marcotte, Denis, 2021. "A fast convolution-based method to simulate time-varying flow rates in closed-loop and standing column well ground heat exchangers," Renewable Energy, Elsevier, vol. 174(C), pages 55-72.
    4. 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.
    5. Claudia Naldi & Enzo Zanchini, 2019. "Full-Time-Scale Fluid-to-Ground Thermal Response of a Borefield with Uniform Fluid Temperature," Energies, MDPI, vol. 12(19), pages 1-18, September.
    6. Dusseault, Bernard & Pasquier, Philippe & Marcotte, Denis, 2018. "A block matrix formulation for efficient g-function construction," Renewable Energy, Elsevier, vol. 121(C), pages 249-260.
    7. Matt S. Mitchell & Jeffrey D. Spitler, 2020. "An Enhanced Vertical Ground Heat Exchanger Model for Whole-Building Energy Simulation," Energies, MDPI, vol. 13(16), pages 1-27, August.
    8. Nguyen, A. & Pasquier, P. & Marcotte, D., 2015. "Thermal resistance and capacity model for standing column wells operating under a bleed control," Renewable Energy, Elsevier, vol. 76(C), pages 743-756.
    9. Al-Khoury, Rafid & Focaccia, Sara, 2016. "A spectral model for transient heat flow in a double U-tube geothermal heat pump system," Renewable Energy, Elsevier, vol. 85(C), pages 195-205.
    10. Zhang, Changxing & Wang, Yusheng & Liu, Yufeng & Kong, Xiangqiang & Wang, Qing, 2018. "Computational methods for ground thermal response of multiple borehole heat exchangers: A review," Renewable Energy, Elsevier, vol. 127(C), pages 461-473.
    11. Shuyang Tu & Xiuqin Yang & Xiang Zhou & Maohui Luo & Xu Zhang, 2019. "Experimenting and Modeling Thermal Performance of Ground Heat Exchanger Under Freezing Soil Conditions," Sustainability, MDPI, vol. 11(20), pages 1-18, October.
    12. Aminhossein Jahanbin & Claudia Naldi & Enzo Zanchini, 2020. "Relation Between Mean Fluid Temperature and Outlet Temperature for Single U-Tube Boreholes," Energies, MDPI, vol. 13(4), pages 1-23, February.
    13. 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.
    14. 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.
    15. 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.
    16. Maestre, Ismael Rodríguez & Gallero, Francisco Javier González & Gómez, Pascual Álvarez & Pérez-Lombard, Luis, 2015. "A new RC and g-function hybrid model to simulate vertical ground heat exchangers," Renewable Energy, Elsevier, vol. 78(C), pages 631-642.
    17. Lamarche, Louis, 2013. "Short-term behavior of classical analytic solutions for the design of ground-source heat pumps," Renewable Energy, Elsevier, vol. 57(C), pages 171-180.
    18. Zanchini, Enzo & Jahanbin, Aminhossein, 2017. "Correlations to determine the mean fluid temperature of double U-tube borehole heat exchangers with a typical geometry," Applied Energy, Elsevier, vol. 206(C), pages 1406-1415.
    19. Claudia Naldi & Aminhossein Jahanbin & Enzo Zanchini, 2021. "A New Estimate of Sand and Grout Thermal Properties in the Sandbox Experiment for Accurate Validations of Borehole Simulation Codes," Energies, MDPI, vol. 14(4), pages 1-25, February.
    20. Cimmino, Massimo, 2024. "g-Functions for fields of series- and parallel-connected boreholes with variable fluid mass flow rate and reversible flow direction," Renewable Energy, Elsevier, vol. 228(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:renene:v:68:y:2014:i:c:p:14-24. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/renewable-energy .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.