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Article

Derivation of Heat Conductivity from Temperature and Heat Flux Measurements in Soil

by 1,2,3,4,*, 1,3,4,5,† and 4,5,†
1
Research Computing Center, Lomonosov Moscow State University, 119234 Moscow, Russia
2
Faculty of Geography, Lomonosov Moscow State University, 119234 Moscow, Russia
3
Moscow Center of Fundamental and Applied Mathematics, 119234 Moscow, Russia
4
Scientific and Educational Centre “Environmental Dynamics and Global Climate Change”, Yugra State University, 628012 Khanty-Mansiysk, Russia
5
A.M.Obukhov Institute of Atmospheric Physics RAS, 119017 Moscow, Russia
*
Author to whom correspondence should be addressed.
For Irina Repina and Arseniy Artamonov, the primary affiliation is No. 5.
Academic Editor: Claude Hammecker
Land 2021, 10(6), 552; https://doi.org/10.3390/land10060552
Received: 21 April 2021 / Revised: 16 May 2021 / Accepted: 20 May 2021 / Published: 22 May 2021
(This article belongs to the Special Issue Peatland Ecosystem)
The general inverse problem formulation for a heat conductance equation is adopted for the types of measurement routinely carried out in the soil active layer. The problem solution delivers a constant thermal diffusivity coefficient a0 (in general, different from true value a) and respective heat conductivity λ0 for the layer, located between two temperature sensors and equipped with a temperature or heat flux sensor in the middle. We estimated the error of solution corresponding to systematic shifts in sensor readings and mislocation of sensors in the soil column. This estimation was carried out by a series of numerical experiments using boundary conditions from observations on Mukhrino wetland (Western Siberia, Russia), performed in summer, 2019. Numerical results were corroborated by analytical estimates of inverse problem solution sensitivity derived from classical Fourier law. The main finding states that heat conductivity error due to systematic shifts in temperature measurements become negligible when using long temperature series, whereas the relative error of a is approximately twice the relative error of sensor depth. The error a0a induced by heat flux plate displacement from expected depth is 3–5 times less than the same displacement of thermometers, which makes the requirements for heat flux installation less rigid. However, the relative errors of heat flux observation typical for modern sensors (±15%) cause the uncertainty of a above 15% in absolute value. Comparison of the inverse problem solution to a estimated from in situ moss sampling on Mukhrino wetland proves the feasibility of the method and corroborates the conclusions of the error sensitivity study. View Full-Text
Keywords: moss layer; heat conduction; inverse problems; measurement errors moss layer; heat conduction; inverse problems; measurement errors
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MDPI and ACS Style

Stepanenko, V.; Repina, I.; Artamonov, A. Derivation of Heat Conductivity from Temperature and Heat Flux Measurements in Soil. Land 2021, 10, 552. https://doi.org/10.3390/land10060552

AMA Style

Stepanenko V, Repina I, Artamonov A. Derivation of Heat Conductivity from Temperature and Heat Flux Measurements in Soil. Land. 2021; 10(6):552. https://doi.org/10.3390/land10060552

Chicago/Turabian Style

Stepanenko, Victor, Irina Repina, and Arseniy Artamonov. 2021. "Derivation of Heat Conductivity from Temperature and Heat Flux Measurements in Soil" Land 10, no. 6: 552. https://doi.org/10.3390/land10060552

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