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Extension of the hot wire method to the characterization of stratified soils with multiple temperature analysis

Abstract : The aim of this article is to develop a practical device able to estimate a thermal conductivity profile in stratified media such as burned soils in Chile. The classical hot wire method consists of measuring the temperature response of a heat step imposed on a thin cylindrical probe by Joule effect. The main characteristic of the extension of the method consists of analyzing the two-dimensional temperature response of multiple thermo-couples equally spaced along the heating cylinder. A semianalytical method (quadrupole method) is then implemented in order to obtain a transfer matrix between the heat flux excitation and the temperature response vectors. Such method is suitable to obtain asymptotic expansions in order to investigate the sensitivity analysis and the estimation strategy. A complete two-dimensional model is used in order to define a time window in which the one-dimensional radial heat transfer assumption is valid. Some experiments and estimation results are presented in a case where the characteristic diffusion times in the radial direction are small compared to the inter-layers diffusion time.
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Elian Coment, Olivier Fudym, Bruno Ladevie, J.C. Batsale, R. Santander. Extension of the hot wire method to the characterization of stratified soils with multiple temperature analysis. Inverse Problems in Science and Engineering, Taylor & Francis, 2004, 12 (5), pp.485 - 499. ⟨10.1080/1068276042000219895⟩. ⟨hal-01651396⟩

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