Mathematical modelling of temperature profile of volcanic soils affected by an external thermal impact
Mónica Antilén A , Olivier Fudym B , Alvaro Vidal B , Juan E. Foerster C , Nelson Moraga B and Mauricio Escudey CA Corresponding author: Facultad de Química, Pontificia Universidad Católica de Chile, Vicuna Mackenna 4860, PO Box 306-22, Santiago, Chile. Email: mantilen@uc.cl
B Departamento de Ingeniería Mecánica, Universidad de Santiago de Chile, Av. Lib. B.O’Higgins 3363, Santiago, Chile.
C Facultad de Química y Biología, Universidad de Santiago de Chile, Av. Lib. B.O’Higgins 3363, Santiago, Chile.
Australian Journal of Soil Research 44(1) 57-61 https://doi.org/10.1071/SR05038
Submitted: 16 March 2005 Accepted: 2 November 2005 Published: 10 February 2006
Abstract
In this work, the soil temperature at depth was measured in the laboratory, and a mathematical model to fit the temperature profile in volcanic soils classified as Ultisols and Andisols was used. The mathematical model considered the transient heat diffusion equation, and a numerical discrete method was used to solve the equations system.
The soil surface was heated for 2500 s and the temperature rose close to 700°C; the soil temperature decreased with depth; the temperature v. time curves showed a constant value when the temperature reached around 100°C, associated with water phase change and related to the water content of soils. The model was corrected by including the heat volumetric formulation. The observed relative errors are close to 10% in all fitted curves with respect to experimental data, showing the quality of the parametrisation chosen in the mathematical model. The fitting curve deviations were reduced when the actual position of thermocouples was considered, showing the sensitivity of the mathematical model.
The simplified mathematical transient diffusion model proposed, which considers 2 ranges of thermal conductivity of soils and the surface temperature, was able to describe the experimental temperature profile in volcanic soils with wide differences in mineralogy, organic matter, and moisture contents.
Additional keywords: temperature-time curves, forest fires, thermal properties, Chilean volcanic soils.
Acknowledgments
This study was supported by DICYT-USACH and FONDECYT 1030778.
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