Comptes Rendus
Leak identification in porous media by solving the Cauchy problem
Comptes Rendus. Mécanique, Volume 335 (2007) no. 7, pp. 401-406.

We propose in this Note a method of identifying leak zones in a saturated and homogeneous porous domain by solving a Cauchy problem. The method is based on the minimisation of an energy-like error functional procedure developed in 2006 by Andrieux and Baranger.

Nous proposons dans ce travail, l'identification de fuites dans un domaine poreux homogène et saturé, en résolvant un problème de Cauchy. Cette résolution est effectuée au moyen d'une procédure de minimisation d'une fonctionnelle d'erreur énergétique développée en 2006 par Andrieux et Baranger.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crme.2007.04.001
Keywords: Porous media, Leak identification, Data completion, Cauchy problem, Darcy law
Mot clés : Milieux poreux, Identification de fuites, Complétion de données, Problème de Cauchy, Loi de Darcy

Xavier Escriva 1, 2; Thouraya N. Baranger 2, 3, 4; Nejla Hariga Tlatli 5

1 LMFA, CNRS UMR 5509, université de Lyon, 69003 Lyon, France
2 Université Lyon-1, 69622 Villeurbanne, France
3 LaMCoS, INSA-Lyon, CNRS UMR5259, 69621 Lyon, France
4 Université de Lyon, 69003 Lyon, France
5 LAMSIN-ENIT, INAT, Tunisia
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     title = {Leak identification in porous media by solving the {Cauchy} problem},
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Xavier Escriva; Thouraya N. Baranger; Nejla Hariga Tlatli. Leak identification in porous media by solving the Cauchy problem. Comptes Rendus. Mécanique, Volume 335 (2007) no. 7, pp. 401-406. doi : 10.1016/j.crme.2007.04.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2007.04.001/

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