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Journal of Thermal Science

, Volume 26, Issue 1, pp 82–88 | Cite as

An analysis of the numerical model influence on the ground temperature profile determination

  • Marek Jaszczur
  • Inga Polepszyc
  • Aneta Sapińska-Śliwa
  • Andrzej Gonet
Article

Abstract

The estimation of the ground temperature profile with respect to the depth and time is the key issue in many engineering applications which use the ground as a source of thermal energy. In the present work, the influence of the model components on the calculated ground temperature distribution has been analysed in order to develop an accurate and robust model for the prediction of the ground temperature profile. The presented mathematical model takes into account all the key phenomena occurring in the soil and on its top surface. The impact of individual model elements on the temperature of the soil has been analysed. It has been found that the simplest models and the most complex model result in a similar temperature variation over the simulation period, but only at a low depth. A detailed analysis shows that a larger depth requires more complex models and the calculation with the use of simple models results in an incorrect temperature and a theoretical COP estimation.

Keywords

heat transfer ground heat transport ground temperature profile ground source heat pump 

Nomenclature

ρz, ρw

ground, water density, kg/m3

cpz, cw

ground, water specific heat, J/(kg·K)

kz

ground thermal conductivity, W/(m·K)

t

time, s

vi

the Darcy velocity, m/s

ε

emissivity

σ

Stefan–Boltzmann constant, W/(m2·K4)

f

fraction of evaporation rate

rh

air relative humidity

Tsky

reference (sky) temperature, K

Tair

air temperature, K

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Notes

Acknowledgments

The paper was carried out under the Statutory Research at the Faculty of Drilling, Oil and Gas, AGH University of Science and Technology, financed from the funds of the Polish Ministry of Science and Higher Education, grant 11.11.190.555

References

  1. [1]
    Gonet, A, Śliwa, T, Stryczek, S, Sapińska-Śliwa, A, Jaszczur, M, Pająk, L, and Złotkowski, A, 2011, Methodology for the identification of potential heat of the rock mass along with technology implementation and operation of the borehole heat exchangers, ed. A. Gonet, Wydawnictwa AGH, Kraków.Google Scholar
  2. [2]
    O’Sullivan, M, J, Pruess, K, and Lippmann, M, 2001., State of the art of geothermal reservoir simulation, Geothermics, 30, pp. 395–429.CrossRefGoogle Scholar
  3. [3]
    M van Manen, S, Wallin, E, 2012., Ground temperature profiles and thermal rock properties at Wairakei, New Zealand, Renewable Energy, 43, pp. 313–321.CrossRefGoogle Scholar
  4. [4]
    Bandos, T.V, Montero Á, Fernández de Córdoba P, Urchueguía J.F, 2011, Improving parameter estimates obtained from thermal response tests: effect of ambient air temperature variations, Geothermics, 40, pp. 136–143.CrossRefGoogle Scholar
  5. [5]
    Jaszczur M, Sliwa, T, 2012 Numerical analysis of the underground water flow on the borehole heat exchangers performance, XX fluid mechanics conference, Gliwice, pp. 17–20 SeptemberGoogle Scholar
  6. [6]
    Chiasson A. D, Advances in modeling of ground-source heat pump systems, Oklahoma State University,.Google Scholar
  7. [7]
    Sliwa T, Rosen M.A, Jezuit Z., 2014 Use of oil boreholes in the Carpathian in geoenergetic systems: historical and conceptual review. Research Journal of Environmental Sciences, 8 (5), pp. 231–242.CrossRefGoogle Scholar
  8. [8]
    Sliwa T, Gonet A., 2004, The closing wells as heat source. Acta Montanistica Slovaca, 9 (3), pp.300–302.Google Scholar
  9. [9]
    Pajak L, 2001, The numerical model of freezing zone development in the ground during ground heat exchanger exploitation, PAN, Kraków, [In Polish]Google Scholar
  10. [10]
    Tsilingiridis G., Papakostas K., 2014, Investigating the relationship between air and ground temperature variations in shallow depths in northern Greece, Energy, 73, pp. 1007–1016.CrossRefGoogle Scholar
  11. [11]
    Mihalakakou G, Santamouris M., O. Lewis Asimakopoulos J D. N, 1997 On the application of the energy balance equation to predict ground temperature profiles, Solar Energy, 60 Nos. 3/4, pp. 181–190.ADSCrossRefGoogle Scholar
  12. [12]
    Chow T.T, Long H, Mok H.Y, Li K.W, 2011 Estimation of soil temperature profile in Hong Kong from climatic variables, Energy and Buildings, 43, pp. 3568–3575.CrossRefGoogle Scholar
  13. [13]
    Bergman T.L, Lavine A.S, Incropera F.P, Dewitt D. P, 2011, Fundamentals of Heat and Mass Transfer, John Wiley & Sons.Google Scholar
  14. [14]
    Swinbank W.C, 1963, Long-wave radiation from clear skies, Quarterly Journal of the Royal Meteorological Society, 89, pp. 339–348.ADSCrossRefGoogle Scholar
  15. [15]
    Brodowicz, K. T. 1990, Dyakowski, Pompy ciepla, PWN, Warszawa.Google Scholar
  16. [16]
    Mihalakakou, G, 2005, On estimating soil surface temperature profiles, Energy Build, 34, pp. 251–259.CrossRefGoogle Scholar
  17. [17]
    Krarti, M. Lopez-Alonzo, C. Claridge, D.E. Kreider, J.F, 1995, Analytical model to predict annual soil surface temperature variation, Journal of Solar Engeneering, 117, pp. 91–99.CrossRefGoogle Scholar
  18. [18]
    Biernacka B, 2001, Semi-empirical formula for the natural ground temperature distribution in bialystok city region, Civil and Environmental Engineering, 1, pp. 5–9.Google Scholar

Copyright information

© Science Press, Institute of Engineering Thermophysics, CAS and Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  • Marek Jaszczur
    • 1
  • Inga Polepszyc
    • 1
  • Aneta Sapińska-Śliwa
    • 2
  • Andrzej Gonet
    • 2
  1. 1.Faculty of Energy and FuelsDepartment of Fundamental Research in Energy EngineeringKrakówPoland
  2. 2.Faculty of Drilling, Oil and Gas ale Department of Drilling and Geoengineering AGH University of Science and TechnologyKrakówPoland

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