A numerical analysis of the inertial correction to Darcy's law
Communication sans acte
Author
ABBASIAN ARANI, Ali AkbarLASSEUX, Didier 
AHMADI-SENICHAULT, AzitaAbstract
Our interest in this work is the stationary one-phase Newtonian flow in a class of homogeneous porous media at large enough flow rates so that the relationship between the filtration velocity and the pressure gradient is no longer linear. The non linear -inertial- correction to Darcy's law is investigated from a numerical point of view on model periodic structures made of regular arrays of cylinders. The starting point of the analysis is the macroscopic model resulting from the volume averaging of the mass and momentum (Navier-Stokes) equations at the pore scale. Identification of the macroscopic properties in this model is made by first solving the microscopic flow as well as the closure problem resulting from the upscaling. From these solutions, the inertial correction is computed and analyzed with respect to the Reynolds number and the pressure gradient orientation relative to the principal axes of the periodic unit cell.
Files in this item
Related items
Showing items related by title, author, creator and subject.
-
Conférence invitéeAHMADI-SENICHAULT, Azita; ; (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 ...
-
Communication sans acte; ;AHMADI-SENICHAULT, Azita (2009)
The purpose of this work is to propose a derivation of a macroscopic model for a certain class of inertial two-phase, incompressible, Newtonian fluid flow through homogenous porous media. The starting point of the procedure ...
-
Two-phase inertial flow in homogeneous porous media: A theoretical derivation of a macroscopic model Article dans une revue avec comité de lecture;AHMADI-SENICHAULT, Azita; (Springer Verlag, 2008)
The purpose of this article is to derive a macroscopic model for a certain class of inertial two-phase, incompressible, Newtonian fluid flow through homogenous porous media. Starting from the continuity and Navier–Stokes ...
-
Communication sans acte;AHMADI-SENICHAULT, Azita; (2009)
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 ...
-
Communication avec acte; ;AHMADI-SENICHAULT, Azita (2009)
Our interest in this work is the stationary one-phase Newtonian flow in a class of homogeneous porous media at large enough flow rates requiring the introduction of the inertial forces at the pore-scale. At the macroscale, ...