[Identification de la vitesse de transfert de radon entre une phase liquide et une phase gazeuse]
Le transfert de radon entre une phase liquide et une phase gazeuse est modélisé par une condition de Robin (le flux de radon à l'interface commune est exprimé en fonction des concentrations de radon dans les deux phases). Cette condition implique deux constantes : le coefficient d'Ostwald (α) et la vitesse de transfert (β). En supposant que la valeur de α est connue, une méthode est proposée pour déterminer la valeur de β, en étudiant le phénomène de transfert du radon à l'échelle du laboratoire. En connaissant les concentrations initiales de radon, l'expérience consiste à mesurer la durée pendant laquelle il existe un flux de radon à travers l'interface commune. Pendant cette période de stabilisation, le transport de radon est gouverné dans chaque phase par la diffusion et la désintégration. Alors, la détermination de β équivaut à la résolution d'un problème inverse formulé en utilisant les données mesurées. Une procédure numérique est développée pour résoudre ce problème.
Radon transfer between a liquid phase and a gaseous phase is modelled by a Robin's condition (radon flux at the common interface is expressed as function of radon concentrations in the two phases). This condition involves two constants: Ostwald's coefficient (α) and the transfer velocity coefficient (β). Assuming the value of α is known, a method is proposed to determinate the value of β, by studying the radon transfer phenomenon at the laboratory scale. Knowing the initial radon concentrations, the experiment consists in measuring how long the radon flux passes through the common interface. In this stabilisation time radon transport is governed in each phase by diffusion and disintegration. Then, determination of β is equivalent to solving an inverse problem formulated using measured data. A numerical procedure is developed to solve this problem.
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Mots-clés : milieux granulaires, interface, condition Robin, radon, coefficient d'Ostwald, problème inverse
Dan-Gabriel Calugaru 1 ; Jean-Marie Crolet 1
@article{CRMECA_2002__330_5_377_0,
author = {Dan-Gabriel Calugaru and Jean-Marie Crolet},
title = {Identification of radon transfer velocity coefficient between liquid and gaseous phases},
journal = {Comptes Rendus. M\'ecanique},
pages = {377--382},
publisher = {Elsevier},
volume = {330},
number = {5},
year = {2002},
doi = {10.1016/S1631-0721(02)01473-0},
language = {en},
}
TY - JOUR AU - Dan-Gabriel Calugaru AU - Jean-Marie Crolet TI - Identification of radon transfer velocity coefficient between liquid and gaseous phases JO - Comptes Rendus. Mécanique PY - 2002 SP - 377 EP - 382 VL - 330 IS - 5 PB - Elsevier DO - 10.1016/S1631-0721(02)01473-0 LA - en ID - CRMECA_2002__330_5_377_0 ER -
Dan-Gabriel Calugaru; Jean-Marie Crolet. Identification of radon transfer velocity coefficient between liquid and gaseous phases. Comptes Rendus. Mécanique, Volume 330 (2002) no. 5, pp. 377-382. doi : 10.1016/S1631-0721(02)01473-0. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(02)01473-0/
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