Two Asymptotic Models for Arrays of Underground Waste Containers - Inria - Institut national de recherche en sciences et technologies du numérique
Journal Articles Applicable Analysis Year : 2009

Two Asymptotic Models for Arrays of Underground Waste Containers

Abstract

We study the homogenization of two models of an underground nuclear waste repository. The nuclear waste cells are periodically stored in the middle of a geological layer and are the only source terms in a parabolic evolution problem. The diffusion constants have a very large contrast between the fuel repository and the soil. It is thus a combined problem of homogenization and singular perturbation. For two different asymptotic contrasts we give the homogenized limit problem which is rigorously justified by using two-scale convergence. Eventually we perform 2-d numerical computations to show the effectiveness of using the limit model instead of the original one.
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Dates and versions

hal-00784062 , version 1 (04-08-2020)

Identifiers

  • HAL Id : hal-00784062 , version 1

Cite

Grégoire Allaire, M. Briane, R. Brizzi, Y. Capdeboscq. Two Asymptotic Models for Arrays of Underground Waste Containers. Applicable Analysis, 2009, 88, pp.1445-1467. ⟨hal-00784062⟩
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