Long-term performance of an irregular shaped borehole heat exchanger system: Analysis of real pattern and regular grid approximation

Abstract A reliable evaluation of long-term performance of a heat pump coupled with a borehole heat exchanger (BHE) field is necessary to verify the stability of its heat exchange capability over the time. The BHE field pattern is often assumed to be regular (e.g., rectangular, L-shaped, T-shaped, etc.), or is assumed to be adequately approximated by one of these shapes. Moreover, a planned geothermal system is often designed regardless of the presence of other existing or planned BHE systems. In order to evaluate the validity and the possible limitations of these assumptions commonly made by the designer, a number of 25-year time span simulations have been carried out by means of 2D finite element modeling. In particular, the case of a real 28 BHE field, irregularly shaped and related to a building located in Northern Italy, has been studied together with its 7-by-4 regular grid approximation and a series of 28 BHE fields having different shapes. Besides the real annual thermal load profile characterized by quasi-balanced winter heating and summer cooling, two other profiles characterized by increasingly unbalanced operation have been taken into account. The numerical study shows that (i) the regularly shaped approximation, a common choice in BHE design, seems to be reasonable under the condition that groundwater flow is absent for all the thermal load profiles; (ii) if a strong heating/cooling imbalance occurs, the thermal footprint of a BHE field can be very extensive, preventing the installation of future nearby BHE systems.

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

[2]  Tatyana V. Bandos,et al.  Finite line-source model for borehole heat exchangers: effect of vertical temperature variations , 2009 .

[3]  H.-J. G. Diersch,et al.  Transient 3D analysis of borehole heat exchanger modeling , 2011 .

[4]  John W. Lund,et al.  Direct utilization of geothermal energy 2010 worldwide review , 2011 .

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

[6]  David Banks,et al.  Practical Engineering Geology , 2008 .

[7]  K. N. Seetharamu,et al.  Fundamentals of the Finite Element Method for Heat and Fluid Flow , 2004 .

[8]  D. Nutter,et al.  A Ground Resistance for Vertical Bore Heat Exchangers With Groundwater Flow , 2003 .

[9]  Ladislaus Rybach,et al.  Sustainability aspects of geothermal heat pump operation, with experience from Switzerland , 2010 .

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

[11]  Frank P. Incropera,et al.  Fundamentals of Heat and Mass Transfer , 1981 .

[12]  Z. Fang,et al.  A finite line‐source model for boreholes in geothermal heat exchangers , 2002 .

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

[14]  John W. Lund,et al.  Direct application of geothermal energy : 2005 worldwide review , 2005 .

[15]  M. Bernier,et al.  Validity ranges of three analytical solutions to heat transfer in the vicinity of single boreholes , 2009 .

[16]  Enzo Zanchini,et al.  Finite-Element Evaluation of Thermal Response Tests Performed on U-Tube Borehole Heat Exchangers , 2008 .

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

[18]  J. C. Jaeger,et al.  Conduction of Heat in Solids , 1952 .