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Fast calculation of the g-functions of geothermal borehole fields using similarities in the evaluation of the finite line source solution

Massimo Cimmino

Article (2018)

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Cite this document: Cimmino, M. (2018). Fast calculation of the g-functions of geothermal borehole fields using similarities in the evaluation of the finite line source solution. Journal of Building Performance Simulation, 11(6), p. 655-668. doi:10.1080/19401493.2017.1423390
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Abstract

Numerical methods are proposed for the efficient evaluation of the g-functions of geothermal bore fields using the finite line source solution. The presented methods reduce the calculation time for the calculation of g-functions by reducing the number of numerical evaluations of the analytical finite line source solution. A similarity identification method is presented to identify pairs of boreholes for which the finite line source solution takes the same value. A load history reconstruction method is presented to evaluate the g-function at non-uniform time-steps. Using the proposed numerical methods, the calculation time for the g-function of a rectangular field of 12 × 12 boreholes is reduced by a factor 308. The numerical methods allow the evaluation of g-functions of bore fields with large amounts of boreholes in irregular configurations. The g-function of a field of 512 randomly positioned boreholes is calculated in 27 minutes.

Uncontrolled Keywords

geothermal boreholes, ground heat exchangers, g-functions, thermal response factors, finite line source

Open Access document in PolyPublie
Subjects: 2100 Génie mécanique > 2100 Génie mécanique
2300 Combustibles et technologie de l'énergie (Géologie économique, utiliser 4003) > 2303 Autres sources d'énergie (combustibles solaire, éolien, etc.)
Department: Département de génie mécanique
Research Center: Non applicable
Funders: FRQNT
Grant number: 2015-B3-181989
Date Deposited: 16 Nov 2018 12:10
Last Modified: 22 Jan 2019 01:15
PolyPublie URL: https://publications.polymtl.ca/3000/
Document issued by the official publisher
Journal Title: Journal of Building Performance Simulation (vol. 11, no. 6)
Publisher: Taylor & Francis
Official URL: https://doi.org/10.1080/19401493.2017.1423390

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