Affiliations: Université de Lyon, Université Lyon 1, CNRS, UMR 5208 Institut Camille Jordan, Batiment du Doyen Jean Braconnier, 43, blvd du 11 Novembre 1918, F-69200 Villeurbanne Cedex, France. E-mail: [email protected] | Department of Mathematics, University of Zagreb, Bijenička 30, 10000 Zagreb, Croatia. E-mail: [email protected] | Narvik University College, HiN, Postbox 385, Lodve Langes Gate 2, Narvik N-8505, Norway and P.N. Lebedev Physical Institute RAS, Leninski Prospect 53, Moscow 117 333, Russia. E-mail: [email protected]
Abstract: We derive a macroscopic model for an underground nuclear waste repository consisting of long storage cells linked by a possibly damaged drifts. As the first result we find a simple first-order approximation. Secondly, we compute a corrector using a matched expansion around the drift. We prove an appropriate convergence result.
