You need JavaScript to view this

Some robust numerical methods for flow and transport in porous media; Quelques methodes numeriques robustes pour l'ecoulement et le transport en milieu poreux

Abstract

The aim of this thesis is to model and develop numerical tools adapted to study underground water flow and the propagation of pollutants in a porous medium. The main motivation of this work is a benchmark from GDR Momas and ANDRA to simulate the 3-D propagation of radionuclides around a deep disposal of nuclear waste. Firstly, we construct a new mixed finite elements method suitable for general hexahedral meshes. Convergence of the method is proved and shown in numerical experiments. Secondly, we present a method of time discretization for the advection equation which allows for the use of different time steps in different sub-domains in order to take into account of strong heterogeneities. Finally a numerical method for the calculation of the transport of contaminants is proposed. The techniques above were implemented in a 3-D code and simulation results are shown on the 3-D far field benchmark from GDR Momas and ANDRA. (author)
Authors:
Publication Date:
Jan 15, 2007
Product Type:
Thesis/Dissertation
Report Number:
FRNC-TH-7515
Resource Relation:
Other Information: TH: These mathematiques appliquees; 68 refs; Also available from Bibliotheque de l'Universite Paris-Dauphine, Place du Marechal de Lattre de Tassigny, 75775 - Paris CEDEX 16 (France)
Subject:
12 MANAGEMENT OF RADIOACTIVE WASTES, AND NON-RADIOACTIVE WASTES FROM NUCLEAR FACILITIES; ADSORPTION; ADVECTION; COMPUTERIZED SIMULATION; DIFFUSION; DISPERSIONS; FINITE ELEMENT METHOD; GROUND WATER; L CODES; MESH GENERATION; POROSITY; RADIOACTIVE WASTE DISPOSAL; RADIONUCLIDE MIGRATION; RESEARCH PROGRAMS; UNDERGROUND STORAGE; VALIDATION
OSTI ID:
21096942
Research Organizations:
Universite Paris Dauphine, 75 - Paris (France)
Country of Origin:
France
Language:
English; French
Other Identifying Numbers:
TRN: FR0801721107571
Availability:
Available from INIS in electronic form
Submitting Site:
FRN
Size:
121 pages
Announcement Date:
Dec 08, 2008

Citation Formats

Sboui, A. Some robust numerical methods for flow and transport in porous media; Quelques methodes numeriques robustes pour l'ecoulement et le transport en milieu poreux. France: N. p., 2007. Web.
Sboui, A. Some robust numerical methods for flow and transport in porous media; Quelques methodes numeriques robustes pour l'ecoulement et le transport en milieu poreux. France.
Sboui, A. 2007. "Some robust numerical methods for flow and transport in porous media; Quelques methodes numeriques robustes pour l'ecoulement et le transport en milieu poreux." France.
@misc{etde_21096942,
title = {Some robust numerical methods for flow and transport in porous media; Quelques methodes numeriques robustes pour l'ecoulement et le transport en milieu poreux}
author = {Sboui, A}
abstractNote = {The aim of this thesis is to model and develop numerical tools adapted to study underground water flow and the propagation of pollutants in a porous medium. The main motivation of this work is a benchmark from GDR Momas and ANDRA to simulate the 3-D propagation of radionuclides around a deep disposal of nuclear waste. Firstly, we construct a new mixed finite elements method suitable for general hexahedral meshes. Convergence of the method is proved and shown in numerical experiments. Secondly, we present a method of time discretization for the advection equation which allows for the use of different time steps in different sub-domains in order to take into account of strong heterogeneities. Finally a numerical method for the calculation of the transport of contaminants is proposed. The techniques above were implemented in a 3-D code and simulation results are shown on the 3-D far field benchmark from GDR Momas and ANDRA. (author)}
place = {France}
year = {2007}
month = {Jan}
}