Canadian Field Soils IV: Modeling Thermal Conductivity at Dryness and Saturation

The thermal conductivity data of 40 Canadian soils at dryness ( λ dry ) and at full saturation ( λ sat ) were used to verify 13 predictive models, i.e., four mechanistic, four semi-empirical and five empirical equations. The performance of each model, for λ dry and λ sat , was evaluated using a stan...

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Bibliographic Details
Published in:	International journal of thermophysics Vol. 39; no. 3; pp. 1 - 29
Main Authors:	Tarnawski, V. R., McCombie, M. L., Leong, W. H., Coppa, P., Corasaniti, S., Bovesecchi, G.
Format:	Journal Article
Language:	English
Published:	New York Springer US 01-03-2018 Springer Nature B.V
Subjects:	Classical Mechanics Condensed Matter Physics Empirical equations Estimates Geophysics Heat conductivity Heat transfer Industrial Chemistry/Chemical Engineering Mathematical models Physical Chemistry Physics Physics and Astronomy Saturation Thermal conductivity Thermodynamics Validation Database Predictive models Thermal conductivity Saturated soils Dry soils
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Summary:	The thermal conductivity data of 40 Canadian soils at dryness ( λ dry ) and at full saturation ( λ sat ) were used to verify 13 predictive models, i.e., four mechanistic, four semi-empirical and five empirical equations. The performance of each model, for λ dry and λ sat , was evaluated using a standard deviation ( SD ) formula. Among the mechanistic models applied to dry soils, the closest λ dry estimates were obtained by MaxRTCM ( SD = ± 0.018 Wm - 1 · K - 1 ) , followed by de Vries and a series-parallel model ( S- \| \| ). Among the semi-empirical equations (deVries-ave, Advanced Geometric Mean Model (A-GMM), Chaudhary and Bhandari (C–B) and Chen’s equation), the closest λ dry estimates were obtained by the C–B model ( ± 0.022 Wm - 1 · K - 1 ) . Among the empirical equations, the top λ dry estimates were given by CDry-40 ( ± 0.021 Wm - 1 · K - 1 and ± 0.018 Wm - 1 · K - 1 for18-coarse and 22-fine soils, respectively). In addition, λ dry and λ sat models were applied to the λ sat database of 21 other soils. From all the models tested, only the maxRTCM and the CDry-40 models provided the closest λ dry estimates for the 40 Canadian soils as well as the 21 soils. The best λ sat estimates for the 40-Canadian soils and the 21 soils were given by the A-GMM and the S- \| \| model.
ISSN:	0195-928X 1572-9567
DOI:	10.1007/s10765-017-2357-9