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Estimation des paramètres de transport en milieu hydro-géologique et analyse d'incertitudes

Abstract : In this work, we are interested in estimating solute transport parameters in a porous medium whith a low permeability, from a theoretical and applied point of view in connection with the storage of long-lived nuclear waste in deep geological layer. In recent years, the problem of nuclear waste management has become a major concern of society. The mathematical models used for storing waste in deep level are based on the flow and transport equations in porous media. These models require the knowledge of the physical parameters of the different geological layers. Since those parameters (porosity and diffusion) are not directly accessible by measurements, we studied firstly the aspect of parameters identification in fixed areas. To solve this inverse problem, we used deterministic (or variational) methods based on the minimization of a quadratic criterion (or cost function) with the objective of finding all the parameters that minimize the criterion. We have broken down the media in homogeneous areas in which the coefficients have been identified (zonation technique). For this, we differentiated the convection-diffusion code Traces with the automatic differentiation software Tapenade to get the adjoint code of Traces. In a second step, we used this work to solve the zones identification problem. Starting from a modified geological configuration, we searched for the actual geological configuration by identifying the parameters whose supports are these zones. Then, by grouping the identified coefficients by isovalues, we obtained the real configuration.
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https://tel.archives-ouvertes.fr/tel-00442635
Contributor : Thomas Migliore <>
Submitted on : Monday, December 28, 2009 - 9:21:10 PM
Last modification on : Wednesday, October 14, 2020 - 4:23:24 AM
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Thomas Migliore. Estimation des paramètres de transport en milieu hydro-géologique et analyse d'incertitudes. Mathématiques [math]. Université Nice Sophia Antipolis, 2009. Français. ⟨tel-00442635v3⟩

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