Evaluating the influence of thermal dispersion on temperature plumes from geothermal systems using analytical solutions

International Journal of Thermal Sciences

Volumn 50, Issue 7, 2011, Pages 1223-1231

  Molina Giraldo, Nelson ^a   Bayer, Peter ^b   Blum, Philipp ^c  

^a UNIVERSITY OF TÜBINGEN   (Germany)

^b ETH ZURICH   (Switzerland)

^c KARLSRUHE INSTITUTE OF TECHNOLOGY   (Germany)

Author keywords

Analytical solution; Aquifer; Borehole heat exchanger; Geothermal energy; Plume length; Thermal dispersion

Indexed keywords

ANALYTICAL APPROACH; ANALYTICAL SOLUTIONS; BOREHOLE HEAT EXCHANGER; BOREHOLE HEAT EXCHANGERS; DARCY VELOCITY; FIELD SCALE; FINE SAND; GEOTHERMAL SYSTEMS; GROUND SOURCE HEAT PUMP SYSTEMS; HEAT TRANSPORT; LEGAL REGULATION; PLUME LENGTH; STEADY-STATE CONDITION; THERMAL DISPERSION; TRANSIENT CONDITIONS;

AQUIFERS; GEOTHERMAL ENERGY; GEOTHERMAL FIELDS; GEOTHERMAL HEAT PUMPS; GEOTHERMAL WELLS; GROUNDWATER FLOW; GROUNDWATER RESOURCES; HEAT EXCHANGERS; HYDROGEOLOGY; LAWS AND LEGISLATION; RENEWABLE ENERGY RESOURCES; SOLUTE TRANSPORT;

DISPERSIONS;

EID: 79955464507     PISSN: 12900729     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijthermalsci.2011.02.004     Document Type: Article

References (55)

1. J.W. Lund, D.H. Freeston, and T.L. Boyd Direct application of geothermal energy: 2005 worldwide review Geothermics 34 6 2005 691 727 (Pubitemid 41700297)
2. B. Sanner, C. Karytsas, D. Mendrinos, and L. Rybach Current status of ground source heat pumps and underground thermal energy storage in Europe Geothermics 32 2003 579 588 (Pubitemid 37325783)
3. A. Mustafa Omer Ground-source heat pumps systems and applications Renew. Sustain. Energ. Rev. 12 2 2008 344 371 (Pubitemid 350214541)
4. 2 savings of ground source heat pump systems - a regional analysis Renew. Energ. 35 1 2010 122 127
5. 2 that matters? A life cycle perspective on shallow geothermal systems Renew. Sustain. Energ. Rev. 14 7 2010 1798 1813
6. J. Hecht-Méndez, N. Molina-Giraldo, P. Blum, and P. Bayer Evaluating MT3DMS for heat transport simulation of closed shallow geothermal systems Ground Water 48 5 2010 741 756
7. S. Hähnlein, N. Molina-Giraldo, P. Blum, P. Bayer, and P. Grathwohl Ausbreitung von Kältefahnen im Grundwasser bei Erdwärmesonden Cold plumes in groundwater for ground source heat pump systems Grundwasser 15 2010 123 133
8. S. Pannike, M. Kölling, B. Panteleit, J. Reichling, V. Scheps, and H.D. Schulz Auswirkung hydrogeologischer Kenngrößen auf die Kältefahnen von Erdwärmesondenanlagen in Lockersedimenten Grundwasser 11 2006 6 18
9. S. Hähnlein, P. Bayer, and P. Blum International legal status of the use of shallow geothermal energy Renew. Sustain. Energ. Rev. 14 2010 2611 2625
10. A.D. Chiasson, S.J. Rees, and J.D. Spitler A preliminary assessment of the effects of ground water flow on closed-loop ground-source heat pump systems ASHRAE Trans. 106 1 2000 380 393
11. R. Fan, Y. Jiang, Y. Yao, and Z. Ma Theoretical study on the performance of an integrated ground-source heat pump system in a whole year Energy 33 11 2008 1671 1679
12. J.J. Hidalgo, J. Carrera, and M. Dentz Steady state heat transport in 3D heterogeneous porous media Adv. Water Resour. 32 8 2009 1206 1212
13. H.S. Carslaw, and J.C. Jäger Conduction of Heat in Solids second ed. 1959 Oxford University Press New York
14. S. Signorelli, S. Bassetti, D. Pahud, and T. Kohl Numerical evaluation of thermal response tests Geothermics 36 2 2007 141 166 (Pubitemid 46394266)
15. J. Bear Dynamics of Fluids in Porous Media 1972 American Elsevier Publishing Company Inc New York
16. D.W. Green, R.H. Perry, and R.E. Babcock Longitudinal dispersion of thermal energy through porous media with a flowing fluid AIChE J. 10 5 1964
17. G. de Marsily Quantitative Hydrogeology 1986 Academic Press San Diego, California
18. G. Ferguson Heterogeneity and thermal modeling of ground water Ground Water 45 4 2007 485 490 (Pubitemid 47000580)
19. J.P. Sauty, A.C. Gringarten, H. Fabris, D. Thiery, A. Menjoz, and P.A. Landel Sensible energy storage in aquifers - 2. Field experiments and comparison with theoretical results Water Resour. Res. 18 1 1982 253 265
20. M.G. Sutton, D.W. Nutter, and R.J. Couvillion A ground resistance for vertical bore heat exchangers with groundwater flow J. Energ. Resour. Tech. 125 3 2003 183 189
21. N. Diao, Q. Li, and Z. Fang Heat transfer in ground heat exchangers with groundwater advection Int. J. Therm. Sci. 43 12 2004 1203 1211
22. D.A. Nield, and A. Bejan Convection in Porous Media third ed. 2006 Springer New York
23. T. Metzger, S. Didierjean, and D. Maillet Optimal experimental estimation of thermal dispersion coefficients in porous media Int. J. Heat Mass Transf. 47 14-16 2004 3341 3353 (Pubitemid 38616309)
24. C. Moyne, S. Didierjean, H.P. Amaral Souto, and O.T. da Silveira Thermal dispersion in porous media: one-equation model Int. J. Heat Mass Transf. 43 20 2000 3853 3867 (Pubitemid 30656795)
25. H. Fujii, R. Itoi, J. Fujii, and Y. Uchida Optimizing the design of large-scale ground-coupled heat pump systems using groundwater and heat transport modeling Geothermics 34 3 2005 347 364 (Pubitemid 40717178)
26. A.D. Woodbury, and L. Smith On the thermal effects of three-dimensional groundwater flow J. Geophys. Res. 90 B1 1985 759 767 (Pubitemid 15457935)
27. P.A. Domenico, and F.W. Schwartz Physical and Chemical Hydrogeology second ed. 1998 John Wiley & Sons Inc New York
28. C.T. Hsu, and P. Cheng Thermal dispersion in a porous medium Int. J. Heat Mass Transf. 33 8 1990 1587 1597 (Pubitemid 20735791)
29. X. Lu Experimental investigation of thermal dispersion in saturated soils with one-dimensional water flow Soil Sci. Soc. Am. J. 73 6 2009 1912 1920
30. M.H.J. Pedras, and M.J.S. de Lemos Thermal dispersion in porous media as a function of the solid-fluid conductivity ratio Int. J. Heat Mass Transf. 51 21-22 2008 5359 5367
31. J. Levec, and R.G. Carbonell Longitudinal and lateral thermal dispersion in packed beds. Part II. Comparison between theory and experiment AIChE J. 31 4 1985 591 602 (Pubitemid 15475396)
32. J.P. Sauty, A.C. Gringarten, A. Menjoz, and P.A. Landel Sensible energy storage in aquifers 1. Theoretical study Water Resour. Res. 18 1982
33. L. Smith, and D.S. Chapman On the thermal effects of groundwater flow 1. Regional scale systems J. Geophys. Res. 88 B1 1983 593 608 (Pubitemid 13504197)
34. J.W. Hopmans, J. Šimunek, and 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
35. J. Constantz Heat as a tracer to determine streambed water exchanges Water Resour. Res. 44 2008 W00D10 10.1029/2008WR006996
36. J.W. Molson, E.O. Frind, and C.D. Palmer Thermal energy storage in an unconfined aquifer: 2. Model development, validation, and application Water Resour. Res. 28 10 1992 2857 2867 (Pubitemid 23377480)
37. L.W. Gelhar, C. Welty, and K.R. Rehfeldt A critical review of data on field-scale dispersion in aquifers Water Resour. Res. 28 7 1992 1955 1974 (Pubitemid 23373205)
38. G.W. Su, J. Jasperse, D. Seymour, and J. Constantz Estimation of hydraulic conductivity in an alluvial system using temperatures Ground Water 42 6 2004 890 901 (Pubitemid 39464888)
39. C. Beyer, S. Bauer, and O. Kolditz Uncertainty assessment of contaminant plume length estimates in heterogeneous aquifers J. Contam. Hydrol. 87 1-2 2006 73 95
40. M. Xu, and 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
41. D. Schulze-Makuch Longitudinal dispersivity data and implications for scaling behavior Ground Water 43 3 2005 443 456 (Pubitemid 40697670)
42. S.P. Neuman Universal scaling of hydraulic conductivities and dispersivities in geologic media Water Resour. Res. 26 8 1990 1749 1758
43. C.B. Andrews, and M.P. Anderson Thermal alteration of groundwater caused by seepage from a cooling lake Water Resour. Res. 15 3 1979 595 602
44. J. Constantz, M.H. Cox, and G.W. Su Comparison of heat and bromide as ground water tracers near streams Ground Water 41 5 2003 647 656 (Pubitemid 38154177)
45. C.E. Hatch, A.T. Fisher, J.S. Revenaugh, J. Constantz, and C. Ruehl Quantifying surface water-groundwater interactions using time series analysis of streambed thermal records: method development Water Resour. Res. 42 10 2006 W10410
46. G. Windqvist, and H. Hyden Heat Transfer in Groundwater VBB Rep. 92203543 1976 VBB Stockholm
47. Z.-G. Yuan, W.H. Somerton, and K.S. Udell Thermal dispersion in thick-walled tubes as a model of porous media Int. J. Heat Mass Transf. 34 11 1991 2715 2726
48. A. Vandenbohede, A. Louwyck, and L. Lebbe Conservative solute versus heat transport in porous media during push-pull tests Transport Porous Med. 76 2 2008 265 287
49. P. Eskilson, 1987. Thermal analysis of heat extraction boreholes. Ph.D. Thesis. University of Lund, Lund, Sweden.
50. S. Zubair, and M. Chaudhry Temperature solutions due to time-dependent moving-line-heat sources Heat Mass Transf. 31 3 1996 185 189 (Pubitemid 126423386)
51. M. Abramowitz, and I.S. Stegun Handbook of Mathematical Functions. With Formulas, Graphs and Mathematical Tables 1964 Dover Publications Inc. New York
52. VDI Verein Deutscher Ingenieure, Blatt 1: Thermische Nutzung des Untergrundes-Grundlagen, Genehmigungen, Umweltaspekte Part 1: Thermal Use of the Underground-Fundamentals, Approvals, Environmental Aspects 2000 VDI-4640/1
53. K. Spitz, and J. Moreno A Practical Guide to Groundwater and Solute Transport Modeling 1996 John Wiley & Sons Inc New York
54. VDI Verein Deutscher Ingenieure, Blatt 2: Thermische Nutzung des Untergrundes-Erdgekoppelte Wärmepumpenanlagen Part 2: Thermal Use of the Underground-Ground Source Heat Pump Systems 2001 VDI-4640/2
55. S.C. Lessoff, U. Schneidewind, C. Leven, P. Blum, P. Dietrich, and G. Dagan Spatial characterization of the hydraulic conductivity using direct-push injection logging Water Resour. Res. 46 2010 W12502