An Analysis of Temperature Plume Distance for BHE with Groundwater Advection

Abstract:

In the ground source heat pump (GSHP) system, the temperature around the borehole exchangers (BHEs) would continue to spread further because of the heat accumulation, in addition the groundwater advection would have an important impact on the thermal dispersion. In order to have more accurate spacing between holes for design, the definition of temperature plume distance is proposed, based on the steady-state model with groundwater advection in porous media, the approximate analytical expression of temperature plume distance was obtained, the factors affecting the temperature plume distance was analyzed by comparing to infinite line source (ILS) model.

• Periodical: Applied Mechanics and Materials (Volumes 170-173)
• Pages: 2644-2651
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.170-173.2644
• Online since: May 2012
• Authors: Jin Feng Mao, Yong Li, Shi Bin Geng, Hua Zhang, Yong Hua Liu
• Keywords: Borehole Exchanger, Groundwater Advection, Temperature Plume Distance

References

[1] Ingersoll L, Zobel O, Ingersoll. A. Heat conduction with engineering, geological and other applications. New York: McGraw-Hill; (1954)

DOI: 10.1126/science.108.2816.694.a

[2] C. Yavuzturk, J. Spitler, A short time step response factor model for vertical ground loop heat exchangers, ASHRAE Transactions 105 (2) (1999) 475–485.

[3] S. Rottmayer, W. Beckman, J. Mitchell, Simulation of a single vertical U-tube ground heat exchanger in an infinite medium, ASHRAE Transactions 103 (2) (1997) 651–659.

[4] C. Yavuzturk, J. Spitler, S. Ree, A transient two-dimensional finite volume model for the simulation of vertical U-tube ground heat exchangers, ASHRAE Transactions 105 (2) (1999) 465–474.

[5] Y. Nam, R. Ooka, S. Hwang, Development of a numerical model to predict heat exchange rates for a ground-source heat pump system, Energy and Buildings 40(12) (2008) 133–2140.

DOI: 10.1016/j.enbuild.2008.06.004

[6] P. Eskilson, Thermal analysis of heat extraction boreholes, Ph.D. Thesis, Lund University, 1987.

[7] C. Lee, H. Lam, Effects of groundwater flow direction on performance of ground heat exchanger borefield in geothermal heat pump systems using 3-D finite difference method, in: Proceedings of Building Simulation Conference, Beijing,China, 2007.

[8] A. Chiasson, J. Rees, J. Spitler, A preliminary assessment of the effects of groundwater flow on closed-loop ground-source heat pump systems, ASHRAE Transactions 106 (1) (2000) 380–393.

[9] N. Diao, Q. Li, Z. Fang, Heat transfer in ground heat exchangers with groundwater advection, International Journal of Thermal Science 43 (12) (2004) 1203–1214.

DOI: 10.1016/j.ijthermalsci.2004.04.009

[10] R. Fan, Y. Jiang, Y. Yao, A study on the performance of a geothermal heat exchanger under coupled heat conduction and groundwater advection, Energy 32 (11)(2007) 2199–2209.

DOI: 10.1016/j.energy.2007.05.001

[11] J. Hecht-Méndez, N. Molina-Giraldo, P. Blum, P. Bayer, Evaluating MT3DMS for heat transport simulation of closed shallow geothermal systems, Groundwater 48 (5) (2010) 741-756.

DOI: 10.1111/j.1745-6584.2010.00678.x

[12] S. Hähnlein, N. Molina-Giraldo, P. Blum, P. Bayer, P. Grathwohl, Ausbreitung von Kältefahnen im Grundwasser bei Erdwärmesonden. (Cold plumes in groundwater for ground source heat pump systems), Grundwasser 15 (2010)123 133.

DOI: 10.1007/s00767-009-0125-x

[13] S. Pannike, M. Kölling, B. Panteleit, J. Reichling, V. Scheps, H.D. Schulz, Auswirkung hydrogeologischer Kenngrößen auf die Kältefahnen von Erdwärmesondenanlagen in Lockersedimenten, Grundwasser 11 (2006) 6-18.

DOI: 10.1007/s00767-006-0114-2

[14] S. Hähnlein, P. Bayer, P. Blum, International legal status of the use of shallow geothermal energy, Renew. Sustain. Energ. Rev. 14 (2010) 2611-2625.

DOI: 10.1016/j.rser.2010.07.069

[15] A.D. Chiasson, S.J. Rees, 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.

[16] G. de Marsily, Quantitative Hydrogeology. Academic Press, San Diego, California, 1986.

[17] T. Metzger, S. Didierjean, D. Maillet, Optimal experimental estimation of thermal dispersion coefficients in porous media, Int. J. Heat Mass Transf. 47(14-16) (2004) 3341-3353

DOI: 10.1016/j.ijheatmasstransfer.2004.02.024

[18] C.T. Hsu, P. Cheng, Thermal dispersion in a porous medium, Int. J. Heat Mass Transf. 33 (8) (1990) 1587-1597.

DOI: 10.1016/0017-9310(90)90015-m

[19] X. Lu, Experimental investigation of thermal dispersion in saturated soils with one dimension -al water flow, Soil Sci. Soc. Am. J. 73 (6) (2009) 1912-1920.

DOI: 10.2136/sssaj2008.0251

[20] M.H.J. Pedras, 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.

DOI: 10.1016/j.ijheatmasstransfer.2008.04.030

[21] J. Levec, 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.

DOI: 10.1002/aic.690310409