Estimation of thermal conductivity of snow by its density and hardness in Svalbard
https://doi.org/10.15356/2076-6734-2018-3-343-352
Abstract
The results of experimental investigation of thermal conductivity of snow on the Svalbard archipelago in the conditions of natural occurrence are considered. The observations were carried out in the spring of 2013–2015 in the vicinity of the meteorological station «Barentsburg». The obtained data were processed using the Fourier equation of thermal conductivity that allowed determination of the coefficient t of thermal conductivity of the snow with different structure and density. The thermal conductivity of snow depends on the contacts between ice crystals. The larger the contact area, the better the heat transfer from one layer to another. But the strength characteristics of snow, and especially its hardness, depend on the bonds between ice crystals, so the thermal conductivity and hardness of snow depend on the structure of snow. Note, that measurements of snow hardness are less laborious than measurements of its thermal conductivity. For layers of snow cover of different hardness the relationship between snow thermal conductivity and its density has been established. To verify the reliability of the approach to the determination of snow thermal conductivity, numerical experiments were performed on a mathematical model, which did show good convergence of the results. The obtained formulas for the coefficient of thermal conductivity of very loose, loose, medium and hard snow (according to the international classification of seasonal snow falls) are compared with the data of other studies. It was found that when the snow density is within the range 0.15–0.40 g/cm3 these formulas cover the main variety of thermal conductivity of snow. This allows estimating the coefficient of thermal conductivity and to determine the thermal resistance of snow cover in the field by measuring the density and hardness of different layers of snow.
About the Authors
V. M. KotlyakovRussian Federation
Moscow
A. V. Sosnovsky
Russian Federation
Moscow
N. I. Osokin
Russian Federation
Moscow
References
1. Formozov A.N. Snezhnyi pokrov kak faktor sredy, ego znachenie v zhizni mlekopitayushchikh i ptits SSSR. Snow cover as a factor of the environment, its role in the life of mammals and birds of the USSR. Moscow: Moscow State University, 1990: 287 p. [In Russian].
2. Shmakin A.B., Osokin N.I., Sosnovsky A.V., Zazovskaya E.P., Borzenkova A.V. Influence of snow cover on soil freezing and thawing in the West Spitsbergen. Led i Sneg. Ice and Snow. 2013, 53 (4): 52–59. doi: 10.15356/2076-6734-2013-4-52-59. [In Russian].
3. Pavlov A.V. Monitoring kriolitozony. Monitoring of Permafrost. Novosibirsk: Geo Publishers, 2008: 229 p. [In Russian].
4. Sherstyukov A.B. Correlation of soil temperature with air temperature and snow depth in Russia. Kriosfera Zemli. Cryosphere of the Earth. 2008, ХII (1): 79–87. [In Russian].
5. Gisnås K., Westermann S., Schuler T.V., Litherland T., Isaksen K., Boike J., Etzelmüller B. A statistical approach to represent small-scale variability of permafrost temperatures due to snow cover. The Cryosphere. 2014, 8: 2063–2074.
6. Balobaev V.T. Geotermiya merzloy zony litosfery severa Azii. Geothermics of Permafrost of the lithosphere in the north of Asia. Novosibirsk: Nauka, 1991: 193 p. [In Russian].
7. Osokin N.I., Sosnovsky A.V., Chernov R.A. Influence of snow cover stratigraphy on its thermal resistance. Led i Sneg. Ice and Snow. 2013, 3 (123): 63–70. doi: 10.15356/2076-6734-2013-3-63-70. [In Russian].
8. Osokin N.I., Sosnovskiy A.V. Influence of snow cover thermal resistance on permafrost stability. Kriosfera Zemli. Cryosphere of the Earth. 2016, XX (3): 105–112. doi: 10.21782/KZ1560-7496-2016-3(105-112). [In Russian].
9. Sturm M., Holmgren J., Konig M., Morris K. The thermal conductivity of seasonal snow. Journ. of Glaciology. 1997, 43 (143): 26–41.
10. Osokin N.I., Sosnovsky A.V. Field investigation of efficient thermal conductivity of snow cover on Spitsbergen. Led i Sneg. Ice and Snow. 2014, 3 (127): 50–58. doi: 10.15356/2076-6734-2014-3-50-58. [In Russian].
11. Osokin N.I., Sosnovskiy A.V., Chernov R.A. Effective thermal conductivity of snow and its variations. Kriosfera Zemli. Cryosphere of the Earth. 2017, XXI (3): 60–68 doi: 10.21782/KZ1560-7496-2017-3(60-68). [In Russian].
12. Riche F., Schneebeli M. Thermal conductivity of snow measured by three independent methods and anisotropy considerations. The Cryosphere. 2013, 7: 217–227.
13. Pinzer B.R., Schneebeli M. Snow metamorphism under alternating temperature gradients: Morphology and recrystallization in surface snow. Geophys. Research Letters. 2009, 36: L23503. doi: 10.1029/2009GL039618.
14. Kamata Y., Sokratov S.A., Sato A. Temperature and temperature gradient dependence of snow recrystallization in depth hoar snow. Advances in Cold Regions Thermal Engineering and Sciences. Еds. K. Hutter, Y. Wang, H. Beer. Verlag: Springer, 1999: 395–402.
15. Calonne N., Flin F., Morin S., Lesaffre B., du Roscoat S.R., Geindreau C. Numerical and experimental investigations of the effective thermal conductivity of snow. Geophys. Research Letters. 2011, 38: L23501. doi: 10.1029/2011GL049234.
16. Osokin N.I., Samoylov R.S., Sosnovskiy A.V., Sokratov S.A., Zhidkov V.A. To the estimation of the influence of snow cover variability on the soil freezing. Kriosfera Zemli. Cryosphere of the Earth. 1999, III (1): 3–10. [In Russian].
17. Kotlyakov V.M., Osokin N.I., Sosnovsky A.V. Mathematical modeling of thermoand mass-exchange in the snow cover under melting. Kriosfera Zemli. Cryosphere of the Earth. 2004, VIII (1): 78–83. [In Russian].
18. Krass M.S., Merzlikin V.G. Radiatsionnaya teplofizika snega i l'da. Radiation thermal physics of snow and ice. Leningrad: Hydrometeoizdat, 1990: 262 p. [In Russian].
19. Pavlov A.V. Nekotorye voprosy teplofiziki snezhnogo pokrova. Some problems of thermal physics of snow cover. Teplovoy balans lesa i polya. Heat balance of forest and field. Moscow: Institute of Geography, USSR Academy of Sciences, 1962: 186–201. [In Russian].
20. Pavlov A.V. Teplofizika landshaftov. Landscape Thermophysics. Novosibirsk: Nauka, 1979: 286 p. [In Russian].
21. Fierz C., Armstrong R.L., Durand Y., Etchevers P., Green E., McClung D.M., Nishimura K., Satyawali P.K., Sokratov S.A. The International Classification for Seasonal Snow on the Ground: IHP-VII Technical Documents in Hydrology. IACS Contribution № 1. Paris: UNESCO–IHP. 2009, 83: 80 p.
22. Sosnovskiy A.V., Osokin N.I. Patent № 2627971. Sposob opredeleniya koeffitsienta teploprovodnosti snega v usloviyakh estestvennogo zaleganiya snezhnogo pokrova. Method for determining the coefficient of thermal conductivity of snow in conditions of natural occurrence of snow cover. Patent publication date: August 14, 2017, Bul. № 23.
Supplementary files
For citation: Kotlyakov V.M., Sosnovsky A.V., Osokin N.I. Estimation of thermal conductivity of snow by its density and hardness in Svalbard. Ice and Snow. 2018;58(3):343-352. https://doi.org/10.15356/2076-6734-2018-3-343-352
Refbacks
- There are currently no refbacks.
ISSN 2076-6734 (Print)
ISSN 2412-3765 (Online)