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Parameters of the Carslaw-Jaeger equation describing the temperature distribution in the ground Cover

Parameters of the Carslaw-Jaeger equation describing the temperature distribution in the ground

Open Access
|May 2020

Abstract

The ground temperature changes with depth and time. Time variability is considered as a harmonic function. The equation describing changes of the ground temperature contains four parameters: the average annual temperature of the surface of the ground, the annual amplitude of the temperature of the ground surface as well as the phase angle of the temperature and thermal diffusivity of the ground. Based on the results of the measurements presented in the literature, the parameters of the equation using the combined method on the basis of linear regression, described in the literature, were determined. This method, however, leads to an ambiguous value of the thermal diffusivity. It was found that the nonlinear regression method gives much better results, leading to obtaining precise and unambiguous values of all parameters of the equation.

DOI: https://doi.org/10.4467/2353737XCT.18.132.8971 | Journal eISSN: 2353-737X | Journal ISSN: 0011-4561
Language: English
Page range: 67 - 78
Submitted on: Aug 2, 2018
Published on: May 21, 2020
Published by: Cracow University of Technology
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2020 Barbara Larwa, Monika Gwadera, Izabela Kicińska, Krzysztof Kupiec, published by Cracow University of Technology
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.