Massimo Cimmino et Bantwal Rabi Baliga
Article de revue (2019)
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Abstract
The formulation of a hybrid numerical-semi-analytical method for cost-effective simulations of heat transfer in fields of vertical geothermal boreholes, in the presence of groundwater flow, is presented. An amalgamation of a co-located control-volume finite element method and a finite volume method is used to solve 1) a volume-averaged continuity and the Darcy-Brinkman-Frochheimer equations to obtain the distribution of the groundwater flow; and 2) an unsteady three-dimensional volume-averaged advection-conduction equation to calculate the related ground temperature distribution, assuming local thermodynamic equilibrium between the groundwater and the soil particles. The bulk temperature distribution of the working fluid (flowing inside the legs of a U-tube pipe inserted inside each borehole and kept in place by grout) and the related heat extraction (or addition) rate are obtained using a semi-analytical method to solve a quasi-steady quasi-one-dimensional model. The conditions of no-slip, impermeability, equality of temperature, and continuity of heat flux are used at the interface between each borehole and the groundwater-saturated soil in the borehole field. The proposed method is applied to test and demonstration problems to demonstrate its capabilities.
Mots clés
Geothermal borehole fields, Groundwater flow; Hybrid numerical-semi-analytical method; Darcy-Brinkman-Forchheimer equations; Volume-averaged advection-conduction equation; Control-volume finite element method
Sujet(s): |
2100 Génie mécanique > 2107 Modélisation, simulation et méthodes des éléments finis 4500 Hydrologie > 4504 Eaux souterraines |
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Département: | Département de génie mécanique |
Organismes subventionnaires: | Fonds de recherche du Québec – Nature et Technologie (FRQNT), CNSNG/NSERC |
Numéro de subvention: | FRQNT 2015-B3-181989 |
URL de PolyPublie: | https://publications.polymtl.ca/5502/ |
Titre de la revue: | International Journal of Thermal Sciences (vol. 142) |
Maison d'édition: | Elsevier |
DOI: | 10.1016/j.ijthermalsci.2019.04.012 |
URL officielle: | https://doi.org/10.1016/j.ijthermalsci.2019.04.012 |
Date du dépôt: | 14 déc. 2020 09:51 |
Dernière modification: | 09 avr. 2024 20:39 |
Citer en APA 7: | Cimmino, M., & Baliga, B. R. (2019). A hybrid numerical-semi-analytical method for computer simulations of groundwater flow and heat transfer in geothermal borehole fields. International Journal of Thermal Sciences, 142, 366-378. https://doi.org/10.1016/j.ijthermalsci.2019.04.012 |
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