A Numerical Model to Estimate the Soil Thermal Conductivity Using Field Experimental Data

Soil thermal conductivity is an important parameter for understanding soil heat transfer. It is difficult to measure in situ with available instruments. This work aims to propose a numerical model to estimate the thermal conductivity from the experimental measurements of soil heat flux and soil temp...

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Main Authors: Leugim Corteze Romio, Débora Regina Roberti, Lidiane Buligon, Tamires Zimmer, Gervásio Annes Degrazia
Format: Article
Language:English
Published: MDPI AG 2019-11-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/9/22/4799
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spelling doaj-2896e75d60904e45878507ab3a064b832020-11-25T01:23:20ZengMDPI AGApplied Sciences2076-34172019-11-01922479910.3390/app9224799app9224799A Numerical Model to Estimate the Soil Thermal Conductivity Using Field Experimental DataLeugim Corteze Romio0Débora Regina Roberti1Lidiane Buligon2Tamires Zimmer3Gervásio Annes Degrazia4Federal University of Pampa, Itaqui, RS 97650-000, BrazilDepartment of Physics, Federal University of Santa Maria, Santa Maria, RS 97105-900, BrazilDepartment of Mathematics, Federal University of Santa Maria, Santa Maria, RS 97105-900, BrazilDepartment of Physics, Federal University of Santa Maria, Santa Maria, RS 97105-900, BrazilDepartment of Physics, Federal University of Santa Maria, Santa Maria, RS 97105-900, BrazilSoil thermal conductivity is an important parameter for understanding soil heat transfer. It is difficult to measure in situ with available instruments. This work aims to propose a numerical model to estimate the thermal conductivity from the experimental measurements of soil heat flux and soil temperature. The new numerical model is based on the Fourier Law adding a constant empirical parameter to minimize the uncertainties contained in the data from field experiments. Numerically, the soil thermal conductivity is obtained by experimental linear data fitting by the Least Squares Method (LSM). This method avoids numerical indetermination when the soil temperature gradient or soil heat flux is very close to zero. The new model is tested against the different numerical methodology to estimate the soil heat flux and validated with field experimental data. The results indicate that the proposed model represents the experimental data satisfactorily. In addition, we show the influence of the different methodologies on evaluating the dependence of the thermal conductivity on the soil water content.https://www.mdpi.com/2076-3417/9/22/4799fourier lawgradient methodsoil heat fluxsoil temperaturesoil thermal conductivitysoil water content
collection DOAJ
language English
format Article
sources DOAJ
author Leugim Corteze Romio
Débora Regina Roberti
Lidiane Buligon
Tamires Zimmer
Gervásio Annes Degrazia
spellingShingle Leugim Corteze Romio
Débora Regina Roberti
Lidiane Buligon
Tamires Zimmer
Gervásio Annes Degrazia
A Numerical Model to Estimate the Soil Thermal Conductivity Using Field Experimental Data
Applied Sciences
fourier law
gradient method
soil heat flux
soil temperature
soil thermal conductivity
soil water content
author_facet Leugim Corteze Romio
Débora Regina Roberti
Lidiane Buligon
Tamires Zimmer
Gervásio Annes Degrazia
author_sort Leugim Corteze Romio
title A Numerical Model to Estimate the Soil Thermal Conductivity Using Field Experimental Data
title_short A Numerical Model to Estimate the Soil Thermal Conductivity Using Field Experimental Data
title_full A Numerical Model to Estimate the Soil Thermal Conductivity Using Field Experimental Data
title_fullStr A Numerical Model to Estimate the Soil Thermal Conductivity Using Field Experimental Data
title_full_unstemmed A Numerical Model to Estimate the Soil Thermal Conductivity Using Field Experimental Data
title_sort numerical model to estimate the soil thermal conductivity using field experimental data
publisher MDPI AG
series Applied Sciences
issn 2076-3417
publishDate 2019-11-01
description Soil thermal conductivity is an important parameter for understanding soil heat transfer. It is difficult to measure in situ with available instruments. This work aims to propose a numerical model to estimate the thermal conductivity from the experimental measurements of soil heat flux and soil temperature. The new numerical model is based on the Fourier Law adding a constant empirical parameter to minimize the uncertainties contained in the data from field experiments. Numerically, the soil thermal conductivity is obtained by experimental linear data fitting by the Least Squares Method (LSM). This method avoids numerical indetermination when the soil temperature gradient or soil heat flux is very close to zero. The new model is tested against the different numerical methodology to estimate the soil heat flux and validated with field experimental data. The results indicate that the proposed model represents the experimental data satisfactorily. In addition, we show the influence of the different methodologies on evaluating the dependence of the thermal conductivity on the soil water content.
topic fourier law
gradient method
soil heat flux
soil temperature
soil thermal conductivity
soil water content
url https://www.mdpi.com/2076-3417/9/22/4799
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