Skip to main content
SpringerLink
Log in

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

  • Published:
Journal of Thermal Science Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Abbreviations

ρ z, ρ w :

ground, water density, kg/m3

c pz, c w :

ground, water specific heat, J/(kg·K)

k z :

ground thermal conductivity, W/(m·K)

t :

time, s

v i :

the Darcy velocity, m/s

ε:

emissivity

σ:

Stefan–Boltzmann constant, W/(m2·K4)

f :

fraction of evaporation rate

r h :

air relative humidity

T sky :

reference (sky) temperature, K

T air :

air temperature, K

References

  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. O’Sullivan, M, J, Pruess, K, and Lippmann, M, 2001., State of the art of geothermal reservoir simulation, Geothermics, 30, pp. 395–429.

    Article  Google Scholar 

  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.

    Article  Google Scholar 

  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.

    Article  Google Scholar 

  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 September

    Google Scholar 

  6. Chiasson A. D, Advances in modeling of ground-source heat pump systems, Oklahoma State University,.

  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.

    Article  Google Scholar 

  8. Sliwa T, Gonet A., 2004, The closing wells as heat source. Acta Montanistica Slovaca, 9 (3), pp.300–302.

    Google Scholar 

  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. 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.

    Article  Google Scholar 

  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.

    Article  ADS  Google Scholar 

  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.

    Article  Google Scholar 

  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. Swinbank W.C, 1963, Long-wave radiation from clear skies, Quarterly Journal of the Royal Meteorological Society, 89, pp. 339–348.

    Article  ADS  Google Scholar 

  15. Brodowicz, K. T. 1990, Dyakowski, Pompy ciepla, PWN, Warszawa.

    Google Scholar 

  16. Mihalakakou, G, 2005, On estimating soil surface temperature profiles, Energy Build, 34, pp. 251–259.

    Article  Google Scholar 

  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.

    Article  Google Scholar 

  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 

Download references

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

Author information

Authors and Affiliations

  1. Faculty of Energy and Fuels, Department of Fundamental Research in Energy Engineering, Kraków, Poland

    Marek Jaszczur & Inga Polepszyc

  2. Faculty of Drilling, Oil and Gas ale Department of Drilling and Geoengineering AGH University of Science and Technology, al. Mickiewicza 30, 30-059, Kraków, Poland

    Aneta Sapińska-Śliwa & Andrzej Gonet

Authors
  1. Marek Jaszczur
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Inga Polepszyc
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Aneta Sapińska-Śliwa
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Andrzej Gonet
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This research was financed from the funds of the Polish Ministry of Science and Higher Education, grant 11.11.190.555

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Jaszczur, M., Polepszyc, I., Sapińska-Śliwa, A. et al. An analysis of the numerical model influence on the ground temperature profile determination. J. Therm. Sci. 26, 82–88 (2017). https://doi.org/10.1007/s11630-017-0913-z

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11630-017-0913-z

Keywords

Search

Navigation