Finite element modeling of borehole heat exchanger systems: Part 2. Numerical simulation

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.

[1]  O. J. Zobel,et al.  Heat conduction with engineering, geological, and other applications , 1955 .

[2]  Simon J. Rees,et al.  Applications of a dynamic three-dimensional numerical model for borehole heat exchangers , 2009 .

[3]  Hans Müller-Steinhagen,et al.  Central solar heating plants with seasonal heat storage , 2010 .

[4]  Hans Müller-Steinhagen,et al.  Modelling and simultion of groundwater influence on borehole thermal energy stores , 2009 .

[5]  Hans Müller-Steinhagen,et al.  Thermal resistance and capacity models for borehole heat exchangers , 2011 .

[6]  R. Al-Khoury,et al.  Efficient finite element formulation for geothermal heating systems. Part II: transient , 2006 .

[7]  W. J. Alves,et al.  Analytical solutions of the one-dimensional convective-dispersive solute transport equation , 1982 .

[8]  O. Axelsson Iterative solution methods , 1995 .

[9]  J. Bear Dynamics of Fluids in Porous Media , 1975 .

[10]  Andrew Birrell,et al.  Implementing remote procedure calls , 1984, TOCS.

[11]  Ibrahim Dincer,et al.  Thermal Energy Storage , 2004 .

[12]  Olaf Kolditz,et al.  Variable-density flow and transport in porous media: approaches and challenges , 2002 .

[13]  J. Claesson,et al.  SIMULATION MODEL FOR THERMALLY INTERACTING HEAT EXTRACTION BOREHOLES , 1988 .

[14]  Daniel Pahud,et al.  Numerical evaluation of thermal response tests , 2007 .

[15]  Simon J. Rees,et al.  A transient two-dimensional finite volume model for the simulation of vertical U-tube ground heat exchangers , 1999 .

[16]  Wolfram Rühaak,et al.  Finite element modeling of borehole heat exchanger systems: Part 1. Fundamentals , 2011, Comput. Geosci..

[17]  R. Al-Khoury,et al.  Efficient finite element formulation for geothermal heating systems. Part I: steady state , 2005 .

[18]  Stanislaw Kajl,et al.  A review of methods to evaluate borehole thermal resistances in geothermal heat-pump systems , 2010 .