Two-domain description of solute transport in heterogeneous porous media: Comparison between theoretical predictions and numerical experiments
TypeArticles dans des revues avec comité de lecture
This paper deals with two-equation models describing solute transport in highly heterogeneous porous systems and more particularly dual permeability structures composed of high- and low-permeability regions. A macroscopic two-equation model has been previously proposed in the literature based on the volume averaging technique [Ahmadi A, Quintard M, Whitaker S. Transport in chemically and mechanically heterogeneous porous media V: two-equation model for solute transport with adsorption, Adv Water Resour 1998;22:59–86; Cherblanc F, Ahmadi A, Quintard M. Two-medium description of dispersion in heterogeneous porous media : calculation of macroscopic properties. Water Resour Res 2003;39(6):1154–73]. Through this theoretical upscaling method, both convection and dispersion mechanisms are taken into account in both regions, allowing one to deal with a large range of heterogeneous systems. In this paper, the numerical tools associated with this model are developed in order to test the theory by comparing macroscopic concentration fields to those obtained by Darcy-scale numerical experiments. The heterogeneous structures considered are made up of lowpermeability nodules embedded in a continuous high-permeability region. Several permeability ratios are used, leading to very different macroscopic behaviours. Taking advantage of the Darcy-scale simulations, the role of convection and dispersion in the mass exchange between the two regions is investigated. Large-scale averaged concentration fields and elution curves are extracted from the Darcy-scale numerical experiments and compared to the theoretical predictions given by the two-equation model. Very good agreement is found between experimental and theoretical results. A permeability ratio around 100 presents a behaviour characteristic of ‘‘mobile–mobile’’ systems emphasizing the relevance of this two-equation description. Eventually, the theory is used to set-up a criterion for the existence of local equilibrium conditions. The potential importance of local-scale dispersion in reducing large-scale dispersion is highlighted. The results also confirm that a non-equilibrium description may be necessary in such systems, even if local-equilibrium behaviour could be observed.
Showing items related by title, author, creator and subject.
RODRIGUEZ DE CASTRO, Antonio; AHMADI-SENICHAULT, Azita; BRUNEAU, Denis; OMARI, Aziz (2013)Current experimental methods used to determine pore size distributions (PSD) in porous media present several drawbacks such as toxicity of employed fluids (e.g. mercury porosimetry). Theoretical basis of a new method to ...
AHMADI-SENICHAULT, Azita; ABBASIAN ARANI, Ali Akbar; LASSEUX, Didier (2010)Significant inertial effects are observed for many applications such as flow in the near-wellbore region, in very permeable reservoirs or in packed-bed reactors. In these cases, the classical description of two-phase flow ...
CISSOKHO, Malick; AHMADI-SENICHAULT, Azita; BERTIN, Henri; OMARI, Abdelaziz; HAMON, Gérald (Society of Core Analysis, 2012)Several papers dealing with laboratory experiments or field operations confirm that, in some circumstances, low salinity waterflooding improves oil recovery. However, the basic mechanisms explaining the oil recovery ...
LASSEUX, Didier; AHMADI-SENICHAULT, Azita; ABBASIAN ARANI, Ali Akbar (2010)This work focuses on the stationary one-phase Newtonian flow in a class of homogeneous porous media at large enough flow rates leading to a non-linear relationship between the filtration velocity and the pressure gradient. ...
Transferts thermiques 3D dans des composites silice – phénolique: méthodes thermographiques et tomographiques AHMADI-SENICHAULT, Azita; L.VIGNOLES, Gérard; AYVAZYAN, Viguen; CATY, Olivier; BRESSON, Grégory; GREGORI, Maria Luisa; FONSECA COSTA, Sônia (Société Française de Thermique / Congrès Français de Thermique - Thermique en conditions extrêmes, 29 mai - 1er juin 2012, Bordeaux, 2012)Nous présentons ici le développement d'une approche double pour la caractérisation thermique des matériaux composites.