<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

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

Chair of Chemical and Process Engineering, Faculty of Chemical Engineering and Technology

Technical Transactions

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 Public License.

The ground temperature changes with depth and time. Time variability is considered as a harmonic function. The equation describing changes of the ground...

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

Publié en ligne: 21 mai 2020

Pages: 67 - 78

Reçu: 02 août 2018

DOI: https://doi.org/10.4467/2353737XCT.18.132.8971

Mots clés
temperature distribution in the ground, nonlinear regression

© 2019 Barbara Larwa et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 Public License.

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

Publié en ligne: 21 mai 2020

Pages: 67 - 78

Reçu: 02 août 2018

DOI: https://doi.org/10.4467/2353737XCT.18.132.8971

Mots cléstemperature distribution in the ground, nonlinear regression

© 2019 Barbara Larwa et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 Public License.

Mots clés
temperature distribution in the ground, nonlinear regression