Scaling Up for Far Field Simulations of Underground Nuclear Waste in Performance Assessment

An underground nuclear waste repository consist of nuclear waste packages stored in excavated vaults, all connected by drifts and galleries or tunnels which are backfilled after the ppackages storage. Usually, for safety reasons, the entire repository site is embedded in a low permeability layer. On the one hand, the model of a repository site should include the multi scale geometry, the large variations of the geology and the coupling of the different phenomena. But on the other hand far field simulations for performance assessments cannot use such detailed models. We will show how mathematical homogenization and asymptotical methods are able to provide scaled up but accurate and physical macroscopic model. The talks will address the main challenges in this field of up scaling: high number of leaking packages; a damaged zone, randomness of the packages content, coupling transport and chemistry, boundary layers,...

Organizer: Alain Bourgeat
Université Lyon I, France
Olivier Gipouloux
Université Lyon I, France

Upscaling the Source Term from a Near Field Model to a Far Field Model; Main Steps and Challenges
Alain Bourgeat, Université Lyon I, France
A Homogenized Model of an Underground Waste Repository including a Disturbed Zone
Eduard Marusic-Paloka, University of Zagreb, Croatia
A Numerical Simulation of an Underground Waste Repository using a Homogenized Model: Advantages and Comparison to the Detailed Model
Olivier Gipouloux, Université Lyon I, France
Homogenized Model of Underground Waste Repository, Assuming Randomness of the Waste Packages
Andrey Piatnitski, Narvik Institute of Technology, Norway
Critical Scaling for Underground Waste Repository Modelling via Two-scale Convergence of Boundary Layers
Yves Capdeboscq, Université de Versailles Saint-Quentin-en-Yvelines, France; Grégoire Allaire, École Polytechnique, France
Flow through Fractured Porous Media; Numerical Simulations based on Homogenization
Brahim Amaziane, Université de Pau, France; Alain Bourgeat, Université Lyon I, France; Leonid Pankratov, Université de Pau, France
Simulation of the Flow in a Fractured Media by Homogeneisation of the Background Fracturation: Double Porosity for Concentration Transport and Dominating Fracture Flow
Nina Khvoenkova, CEA, France; Gilles Bernard-Michel, CEA Saclay, France
Modeling Reactive Flows in Porous Media under Important Peclet's and Damkohler's Numbers, Using Homogenization
Andro Mikelic, Université Lyon I, France; Vincent Devigne, Ecole des Mines de St Etienne, France