Physique de l'état condense [supraconducteur]; Physique de l'état condense [struct., propr. thermiques, etc.]; Physique de l'état condense [struct., électronique, etc.]; Sciences de l'ingénieur; Advection; Analytical solution; Conduction; Discontinuous heat extraction; Dispersion; Ground source heat pump
Abstract :
[en] Existing analytical solutions for thermal analysis of ground source heat pump (GSHP) systems evaluate temperature change in the carrier-fluid and the surrounding ground in the production period of a single borehole heat exchanger (BHE) only if a continuous heat load is assigned. In the present study, we modified the Green's function, which is the solution of heat conduction/advection/dispersion equation in porous media, for discontinuous heat extraction by analytically convoluting rectangular function or pulses in time domain both for single and multi-BHEs field. The adapted analytical models for discontinuous heat extraction are verified with numerical finite element code. The comparison results agree well with numerical results both for conduction and advection dominated heat transfer systems, and analytical solutions provide significantly shorter runtime compared to numerical simulations (approx. 1500 times shorter). Furthermore, we investigated the sustainability and recovery aspects of GSHP systems by using proposed analytical models under different hydro-geological conditions. According to the engineering guideline VDI 4640, a linear relationship between thermal conductivity of the ground and the sustainable heat extraction rate is demonstrated for multi-BHEs.
Disciplines :
Civil engineering
Author, co-author :
Erol, Selcuk
Hashemi Afrapoli, Mir Amid
François, Bertrand ; Université de Liège - ULiège > Urban and Environmental Engineering
Language :
English
Title :
Analytical solution of discontinuous heat extraction for sustainability and recovery aspects of borehole heat exchangers
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Bibliography
L. Rybach T. Mégel W.J. Eugster At what time scale are geothermal resources renewable? Proceedings World Geothermal Congress 2000, Kyushu-tohoku, Japan 2000
E. Barbier Geothermal energy technology and current status: an overview Renew. Sustain. Energy Rev. 6 1-2 2002 3 65
L. Rybach W.J. Eugster Sustainability aspects of geothermal heat pumps Proceedings 27th Workshop on Geothermal Reservoir Engineering 2002 Standford University Palo Alto, USA
S. Signorelli Geoscientific Investigations for the Use of Shallow Low-enthalpy Systems Doctoral Thesis 2004 Swiss Federal Institute of Technology Zürich Zürich, Switzerland
R. Curtis W.J. Lund B. Sanner L. Rybach G. Hellström Ground source heat pumps-geothermal energy for anyone, anywhere: current worldwide activity Proceedings World Geothermal Congress 2005, Antalya, Turkey 2005
W.J. Lund D.H. Freeston T.L. Boyd Direct application of geothermal energy: 2005 worldwide review Geothermics 34 2005 691-727
M. O'Sullivan A. Yeh W. Mannington Renewability of geothermal resources Geothermics 39 2010 314 320
S. Lazzari A. Priarone E. Zanchini Long-term performance of BHE (borehole heat exchanger) fields with negligible groundwater movement Energy 35 2010 4966-4974
E. Zanchini S. Lazzari A. Priarone Long-term performance of large borehole heat exchanger fields with unbalanced seasonal loads and groundwater flow Energy 38 2012 66 77
P. Eskilson Thermal Analysis of Heat Extraction Boreholes Doctoral Thesis 1987 University of Lund Lund, Sweden
H.Y. Zeng N.R. Diao Z.H. Fang A finite line-source model for boreholes in geothermal heat exchangers Heat Transf. Asian Res. 31 7 2002 558-567
M.G. Sutton D.W. Nutter R.J. Couvillion A ground resistance for vertical borehole heat exchangers with groundwater flow J. Energy Resour. Technol. 125 3 2003 183-189
N. Diao Q. Li Z. Fang Heat transfer in ground heat exchangers with groundwater advection Int. J. Therm. Sci. 43 12 2004 1203-1211
D. Marcotte P. Pasquier F. Sheriff M. Bernier The importance of axial effects for borehole design of geothermal heat-pump systems Renew. Energy 35 4 2010 763-770
Y. Man H. Yang N. Diao J. Liu Z. Fang A new model and analytical solutions for borehole and pile ground heat exchangers Int. J. Heat Mass Transf. 53 13-14 2010 2593-2601
N. Molina-Giraldo P. Bayer P. Blum K. Zhu Z. Fang A moving finite line source model to simulate borehole heat exchangers with groundwater advection Int. J. Therm. Sci. 50 2011 2506-2513
J. Claesson P. Eskilson Conductive heat extraction by a deep borehole, thermal analysis and dimensioning rules Energy 13 6 1988 509-527
G. Hellström Ground Heat Storage Thermal Analyses of Duct Storage Systems, I. Theory Doctoral Thesis 1991 University of Lund Lund, Sweden
H.S. Carslaw J.C. Jaeger Conduction of Heat in Solids second ed. 1959 Oxford University Press New York
J. Claesson T. Probert Temperature Field Due to Time-dependent Heat Sources in a Large Rectangular Grid, Derivation of Analytical Solution Technical Report 1996 Svensk Kärnbränslehantering AB Stockholm, Sweden
E. Zanchini B. Pulvirenti An analytical solution for the temperature field around a cylindrical surface subjected to a time dependent heat flux Int. J. Heat Mass Transf. 66 2013 906-910
J.D. Deerman S.P. Kavanaugh Simulation of vertical U-tube ground-coupled heat pump systems using the cylindrical heat source solution ASHRAE Trans. 97 1 1991 287-295
S.P. Kavanaugh K. Rafferty Ground Source Heat Pumps: Design of Geothermal Systems for Commercial and Institutional Buildings 1997 American Society of Heating, Refrigerating and Air-Conditioning Engineers Atlanta, USA
S. Gehlin Thermal Response Test-Method, Development and Evaluation Doctoral Thesis 2002 Luleå University of Technology Luleå, Sweden
C. Yavuzturk Modeling of Vertical Ground Loop Heat Exchangers for Ground Source Heat Pump Systems Doctoral Thesis 1999 Oklahoma State University USA
M.A. Bernier P. Pinel R. Labib R. Paillot A multiple load aggregation algorithm for annual hourly simulations of GCHP systems HVAC R Res. 10 2004 471-488
D. Marcotte P. Pasquier Fast fluid and ground temperature computation for geothermal ground-loop heat exchanger systems Geothermics 37 2008 651-665
L. Lamarche A fast algorithm for the hourly simulations of ground-source heat pumps using arbitrary response factors Renew. Energy 34 10 2009 2252-2258
A. Michopoulos N. Kyriakis A new energy analysis tool for ground source heat pump systems Energy Build. 41 2009 937-941
A. Michopoulos N. Kyriakis The influence of a vertical ground heat exchanger length on the electricity consumption of the heat pumps Renew. Energy 35 2010 1403-1407
N. Molina-Giraldo P. Bayer P. Blum Evaluating the influence of thermal dispersion on temperature plumes from geothermal systems using analytical solutions Int. J. Therm. Sci. 50 2011 1223 1231
G. de Marsily Quantitative Hydrogeology 1986 Academic Press San Diego, California
J.W. Hopmans J. Simunek K.L. Bristow Indirect estimation of soil thermal properties and water flux using heat pulse probe measurements: geometry and dispersion effects Water Resour. Res. 38 1 2002 1006
J. Constantz Heat as a tracer to determine streambed water exchanges Water Resour. Res. 44 4 2008
J.P. Sauty A.C. Gringarten H. Fabris D. Thiery A. Menjoz P.A. Landel Sensible energy storage in aquifers 2. Field experiments and comparison with theoretical results Water Resour. Res. 18 1 1982 253-265
S.P. Neuman Universal scaling of hydraulic conductivities and dispersivities in geologic media Water Resour. Res. 26 8 1990 1749-1758
M. Xu Y. Eckstein Use of weighted least-squares method in evaluation of the relationship between dispersivity and field scale Ground Water 33 6 1995 905-908
D. Schulze-Makuch Longitudinal dispersivity data and implications for scaling behavior Ground Water 43 3 2005 443-456
T. Metzger Dispersion Thermique en Milieux Poreux: Caractérisation expérimentale par Technique Inverse Doctoral Thesis (in French) 2002 Institut National Polytechnique de Lorraine (INPL) Nancy
COMSOL COMSOL 4.2a, Multiphysics Modeling, Finite Element Analysis and Engineering Simulations Software 2012 COMSOL Inc. Burglington, MA, USA
VDI-Richtlinie Thermal Use of the Underground Blatt 1 2001 Verain Deutscher Ingenieure, VDI-Verlag Düsseldorf, Germany
J. Hecht-Méndez M. de Paly M. Beck P. Bayer Optimization of energy extraction for vertical closed-loop geothermal systems considering groundwater flow Energy Convers. Manag. 66 2013 1-10
VDI-Richtlinie Thermal Use of the Underground Blatt 2 2001 Verain Deutscher Ingenieure, VDI-Verlag Düsseldorf, Germany
H. Fujii R. Itoi J. Fujii Y. Uchida Optimizing the design of large-scale ground-coupled heat pump systems using groundwater and heat transport modeling Geothermics 34 2005 347-364
T. Katsura K. Nagano S. Narita S. Takeda Y. Nakamura A. Okamoto Calculation algorithm of the temperatures for pipe arrangement of multiple ground heat exchangers Appl. Therm. Eng. 29 2009 906-919
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