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g-Functions for fields of series- and parallel-connected boreholes with variable fluid mass flow rate and reversible flow direction

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  • Cimmino, Massimo

Abstract

A new methodology is developed for the calculation of g-functions for the simulation of geothermal bore fields in non-stationary conditions. The g-functions are able to represent the variations of fluid mass flow rate and reversible flow direction, and model the effect of these variations on the long-term ground temperature response. The thermal model is constructed by coupling an axially-discretized finite line source solution for the ground heat transfer, a thermal resistance circuit model for the interior of the boreholes, as well as connectivity relations between parallel- and series-connected boreholes. Simulation experiments show that the new g-functions are required for the accurate prediction of fluid temperatures in series-connected boreholes with variable mass flow rate and reversible flow direction. A simulation of a borehole thermal energy storage system of 144 boreholes over a period of 20 years shows a maximum absolute error of 0.65 °C. The new g-functions thus extend the simulation capabilities of g-functions to borehole thermal energy storage systems.

Suggested Citation

  • 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).
  • Handle: RePEc:eee:renene:v:228:y:2024:i:c:s0960148124007298
    DOI: 10.1016/j.renene.2024.120661
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    References listed on IDEAS

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    1. 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.
    2. Beier, Richard A. & Spitler, Jeffrey D., 2016. "Weighted average of inlet and outlet temperatures in borehole heat exchangers," Applied Energy, Elsevier, vol. 174(C), pages 118-129.
    3. Iago Cupeiro Figueroa & Massimo Cimmino & Lieve Helsen, 2020. "A Methodology for Long-Term Model Predictive Control of Hybrid Geothermal Systems: The Shadow-Cost Formulation," Energies, MDPI, vol. 13(23), pages 1-27, November.
    4. 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.
    5. Lazzarotto, Alberto & Björk, Folke, 2016. "A methodology for the calculation of response functions for geothermal fields with arbitrarily oriented boreholes – Part 2," Renewable Energy, Elsevier, vol. 86(C), pages 1353-1361.
    6. 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.
    7. Lazzarotto, Alberto, 2016. "A methodology for the calculation of response functions for geothermal fields with arbitrarily oriented boreholes – Part 1," Renewable Energy, Elsevier, vol. 86(C), pages 1380-1393.
    8. Cimmino, Massimo, 2016. "Fluid and borehole wall temperature profiles in vertical geothermal boreholes with multiple U-tubes," Renewable Energy, Elsevier, vol. 96(PA), pages 137-147.
    9. Lazzarotto, Alberto, 2014. "A network-based methodology for the simulation of borehole heat storage systems," Renewable Energy, Elsevier, vol. 62(C), pages 265-275.
    10. Dusseault, Bernard & Pasquier, Philippe, 2021. "Usage of the net present value-at-risk to design ground-coupled heat pump systems under uncertain scenarios," Renewable Energy, Elsevier, vol. 173(C), pages 953-971.
    11. 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.
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