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Finite element modeling of borehole heat exchanger systems: Part 1. Fundamentals

Diersch, H.-J. G. ; Bauer, D. ; Heidemann, W. ; Rühaak, W. ; Schätzl, P. (2011)
Finite element modeling of borehole heat exchanger systems: Part 1. Fundamentals.
In: Computers & Geosciences, 37 (8)
Artikel, Bibliographie

Kurzbeschreibung (Abstract)

Single borehole heat exchanger (BHE) and arrays of BHE are modeled by using the finite element method. The first part of the paper derives the fundamental equations for BHE systems and their finite element representations, where the thermal exchange between the borehole components is modeled via thermal transfer relations. For this purpose improved relationships for thermal resistances and capacities of BHE are introduced. Pipe-to-grout thermal transfer possesses multiple grout points for double U-shape and single U-shape BHE to attain a more accurate modeling. The numerical solution of the final 3D problems is performed via a widely non-sequential (essentially non-iterative) coupling strategy for the BHE and porous medium discretization. Four types of vertical BHE are supported: double U-shape (2U) pipe, single U-shape (1U) pipe, coaxial pipe with annular (CXA) and centred (CXC) inlet. Two computational strategies are used: (1) The analytical BHE method based on Eskilson and Claesson's (1988) solution, (2) numerical BHE method based on Al-Khoury et al.'s (2005) solution. The second part of the paper focusses on BHE meshing aspects, the validation of BHE solutions and practical applications for borehole thermal energy store systems.

Typ des Eintrags: Artikel
Erschienen: 2011
Autor(en): Diersch, H.-J. G. ; Bauer, D. ; Heidemann, W. ; Rühaak, W. ; Schätzl, P.
Art des Eintrags: Bibliographie
Titel: Finite element modeling of borehole heat exchanger systems: Part 1. Fundamentals
Sprache: Englisch
Publikationsjahr: 2011
Titel der Zeitschrift, Zeitung oder Schriftenreihe: Computers & Geosciences
Jahrgang/Volume einer Zeitschrift: 37
(Heft-)Nummer: 8
URL / URN: http://www.sciencedirect.com/science/article/B6V7D-51FNPD8-1...
Kurzbeschreibung (Abstract):

Single borehole heat exchanger (BHE) and arrays of BHE are modeled by using the finite element method. The first part of the paper derives the fundamental equations for BHE systems and their finite element representations, where the thermal exchange between the borehole components is modeled via thermal transfer relations. For this purpose improved relationships for thermal resistances and capacities of BHE are introduced. Pipe-to-grout thermal transfer possesses multiple grout points for double U-shape and single U-shape BHE to attain a more accurate modeling. The numerical solution of the final 3D problems is performed via a widely non-sequential (essentially non-iterative) coupling strategy for the BHE and porous medium discretization. Four types of vertical BHE are supported: double U-shape (2U) pipe, single U-shape (1U) pipe, coaxial pipe with annular (CXA) and centred (CXC) inlet. Two computational strategies are used: (1) The analytical BHE method based on Eskilson and Claesson's (1988) solution, (2) numerical BHE method based on Al-Khoury et al.'s (2005) solution. The second part of the paper focusses on BHE meshing aspects, the validation of BHE solutions and practical applications for borehole thermal energy store systems.

Freie Schlagworte: Finite elements;Borehole heat exchanger;Thermal resistances;Local problem;Static condensation
Fachbereich(e)/-gebiet(e): 11 Fachbereich Material- und Geowissenschaften > Geowissenschaften > Fachgebiet Angewandte Geothermie
11 Fachbereich Material- und Geowissenschaften > Geowissenschaften
11 Fachbereich Material- und Geowissenschaften
Hinterlegungsdatum: 06 Nov 2014 13:29
Letzte Änderung: 07 Nov 2014 13:35
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