Finite element modeling of borehole heat exchanger systems

  • Authors:

  • H. -J. G. Diersch;D. Bauer;W. Heidemann;W. Rühaak;P. Schätzl

  • Affiliations:

  • DHI-WASY GmbH, Groundwater Modelling Centre (GMC), Waltersdorfer Str. 105, 12526 Berlin, Germany;Institute of Thermodynamics and Thermal Engineering (ITW), University of Stuttgart, Pfaffenwaldring 6, 70550 Stuttgart, Germany;Institute of Thermodynamics and Thermal Engineering (ITW), University of Stuttgart, Pfaffenwaldring 6, 70550 Stuttgart, Germany;DHI-WASY GmbH, Groundwater Modelling Centre (GMC), Waltersdorfer Str. 105, 12526 Berlin, Germany;DHI-WASY GmbH, Groundwater Modelling Centre (GMC), Waltersdorfer Str. 105, 12526 Berlin, Germany

  • Venue:
  • Computers & Geosciences
  • Year:
  • 2011

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Abstract

Single borehole heat exchanger (BHE) and arrays of BHE are modeled by using the finite element method. Applying BHE in regional discretizations optimal conditions of mesh spacing around singular BHE nodes are derived. Optimal meshes have shown superior to such discretizations which are either too fine or too coarse. The numerical methods are benchmarked against analytical and numerical reference solutions. Practical application to a borehole thermal energy store (BTES) consisting of 80 BHE is given for the real-site BTES Crailsheim, Germany. The simulations are controlled by the specifically developed FEFLOW-TRNSYS coupling module. Scenarios indicate the effect of the groundwater flow regime on efficiency and reliability of the subsurface heat storage system.