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Approximation of the Soil Temperature by Piecewise-Continuous Functions

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Advanced Hydrodynamics Problems in Earth Sciences

Part of the book series: Earth and Environmental Sciences Library ((EESL))

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Abstract

Soil temperature measurements obtained at the site in the Bolshezemelskaya tundra with different landscape conditions are considered. Two methods of analytical description are considered: (1) with the help of one harmonic function and (2) with a breakdown into two periods—winter and summer (two piecemeal-continuous functions with different vibration amplitudes for each period separately). The amplitude of the oscillations for each method and period is calculated by least squares. It has been established that in winter and summer periods the amplitude of fluctuations is significantly different for all the considered landscape conditions. Disclosed is a method of describing the temperature regime of soils taking into account this division, which is compared with average values for each period separately. Comparison of calculated and observed values for winter period shows almost complete coincidence. Accordingly, this method of description can be used to recover data over a small missed time interval of the order of a month, as confirmed by the results of calculations for the summer period. The smallest difference between winter and summer oscillation amplitudes is noted for peat soils.

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References

  1. Zyryanov VN, Khublaryan MG (2006) The pumping effect in the theory of nonlinear processes such as the heat equation and its applications in geophysics. Doklady RAS 408(4):535–538 (in Russian)

    Google Scholar 

  2. Kaverin DA, Lapina LE, Pastukhov AV, Novakovskij AB (2019) The effect of the transformation of vegetation and soil cover on the soil temperature during the operation of the winter road in the Bolshezemelskaya tundra. Earth’s Cryosphere XXIII(1):17–27 (in Russian)

    Google Scholar 

  3. Dyukarev EA (2012) The amplitude of the daily course of peat soil temperature. Bulletin of Tomsk State University. Biology 365:201–205 (in Russian)

    Google Scholar 

  4. Zyryanov VN (2007) Anti-warming of the deep layers of the World Ocean. Oceanology 47(5):666–673 (in Russian)

    Google Scholar 

  5. Zyryanov VN (2013) Nonlinear pumping effect in oscillatory processes in geophysics. Water Resour 40(3):227–239 (in Russian)

    Google Scholar 

  6. Zyryanov VN, Kruglikhin SA (2016) Stefan’s nonlinear problem of ice growth with fluctuations in air temperature. Processes Geomedia 4(9):318–326 (in Russian)

    Google Scholar 

  7. Lapina LE, Kaverin DA, Pastukhov AV (2021) Assessment of the pumping effect in permafrost soils of typical tundra of the European Northeast of Russia. Ecol Monit Model Ecosyst 32(3–4):100–111 (in Russian)

    Google Scholar 

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Acknowledgements

The work was carried out within the framework of the topic No. FMWZ-2022-001 “Studies of the processes of the hydrological cycle of land and the formation of water resources, geophysical processes in water bodies and their basins, formation of extreme hydrological phenomena and dynamics of hydrological systems taking into account changing climatic conditions and anthropogenic factors” State assignment of the IVP RAS (No. State registration 122041100222-7) and No. 122040600023-8 “Cryogenesis as a factor in the formation and evolution of soils of the Arctic and boreal ecosystems of the European Northeast in the conditions of modern anthropogenic impacts, global and regional climatic trends” State assignment Institute of Biology of the Komi Scientific Center of the Ural Branch of the Russian Academy of Sciences.

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Correspondence to L. J. Lapina .

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Lapina, L.J., Kaverin, D.A., Pastuhov, A.V., Chebanova, M.K. (2023). Approximation of the Soil Temperature by Piecewise-Continuous Functions. In: Chaplina, T. (eds) Advanced Hydrodynamics Problems in Earth Sciences. Earth and Environmental Sciences Library. Springer, Cham. https://doi.org/10.1007/978-3-031-23050-9_19

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