Leak identification in porous media by solving the Cauchy problem

Xavier Escriva; Thouraya N. Baranger; Nejla Hariga Tlatli

doi:10.1016/j.crme.2007.04.001

Leak identification in porous media by solving the Cauchy problem
[Identification de fuites dans un milieu poreux par résolution du problème de Cauchy]

Présenté par : Huy Duong Bui

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

Comptes Rendus. Mécanique, Volume 335 (2007) no. 7, pp. 401-406.

Résumé
Abstract

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.

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.

Reçu le : 2007-04-06
Accepté le : 2007-04-17
Publié le : 2007-06-05

DOI : 10.1016/j.crme.2007.04.001

Keywords: Porous media, Leak identification, Data completion, Cauchy problem, Darcy law
Mots-clés : Milieux poreux, Identification de fuites, Complétion de données, Problème de Cauchy, Loi de Darcy

Affiliations des auteurs :

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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     author = {Xavier Escriva and Thouraya N. Baranger and Nejla Hariga Tlatli},
     title = {Leak identification in porous media by solving the {Cauchy} problem},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {401--406},
     publisher = {Elsevier},
     volume = {335},
     number = {7},
     year = {2007},
     doi = {10.1016/j.crme.2007.04.001},
     language = {en},
}

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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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Anis Bel Hadj Hassin; Nejla T. Hariga; Faten Khayat Data completion problem for the advection‐diffusion equation with aquifer point sources, Mathematical Methods in the Applied Sciences, Volume 44 (2021) no. 2, p. 1651 | DOI:10.1002/mma.6868
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Nejla Tlatli Hariga; Thouraya Nouri Baranger; Rachida Bouhlila Land–sea interface identification and submarine groundwater exchange (SGE) estimation, Computers Fluids, Volume 88 (2013), p. 569 | DOI:10.1016/j.compfluid.2013.10.015
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Xavier Escriva; Thouraya N Baranger Leaks identification on a Darcy model by solving Cauchy problem, Journal of Physics: Conference Series, Volume 135 (2008), p. 012039 | DOI:10.1088/1742-6596/135/1/012039

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