• français
    • English
    français
  • Login
Help
View Item 
  •   Home
  • Institut de Mécanique et d’Ingénierie de Bordeaux (I2M)
  • View Item
  • Home
  • Institut de Mécanique et d’Ingénierie de Bordeaux (I2M)
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Two-phase non-Darcy flow in heterogeneous porous media: A numerical investigation

Conférence invitée
Author
ccAHMADI-SENICHAULT, Azita
17163 Transferts, écoulements, fluides, énergétique [TREFLE]
ABBASIAN ARANI, Ali Akbar
LASSEUX, Didier

URI
http://hdl.handle.net/10985/9724
Date
2010

Abstract

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 In these cases, the classical description of two-phase flow in porous media by the generalized Darcy's law is no longer valid. Due to the lack of a formalized theoretical model confirmed experimentally, this study is based on a generalized Darcy-Forchheimer approach for modelling two-phase incompressible non-stationary inertial flow in porous media. In this model, the momentum conservation equation for each phase, , has a quadratic correction to generalized Darcy’s law and is expressed as: (=”w” for water or “o” for oil): (1) This equation is completed with the mass conservation equation for each phase given by (2) and the capillary pressure and saturation relationships (3) (4) Using a finite volume formulation, an IMPES (IMplicit for Pressures, Explicit for Saturations) scheme and a Fixed Point method for the treatment of non-linearities caused by inertia, a 3D numerical tool has been developed. For clarity, results are presented in 1D and 2D configurations only. For 1D flow in a homogeneous porous medium, a validation is performed by comparing numerical results of the saturation front kinetics with a semi-analytical solution inspired from the “Buckley-Leverett” model extended to take into account inertia. The influence of inertial effects on the saturation profiles and therefore on the breakthrough curves for homogeneous media is analysed for different Reynolds numbers, thus emphasizing the necessity of taking into account this additional energy loss when necessary. For 1D heterogeneous configurations, a thorough analysis of the saturation fronts as well as the saturation jumps at the interface between two media of contrasted properties highlights the influence of inertial effects for different Reynolds and capillary numbers. In 2D heterogeneous configurations, saturation distributions are strongly affected by inertial effects. In particular, capillary trapping of the displaced fluid observed for the Darcy regime in certain regions can completely disappears when inertial effects become dominant.

Files in this item

Name:
TREFLE_Tipaza_2010_Ahmadi.pdf
Size:
252.0Kb
Format:
PDF
View/Open

Collections

  • Institut de Mécanique et d’Ingénierie de Bordeaux (I2M)

Related items

Showing items related by title, author, creator and subject.

  • An investigation of inertial one-phase flow in homogeneous model porous media 
    Communication avec acte
    LASSEUX, Didier; ABBASIAN ARANI, Ali Akbar; ccAHMADI-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, ...
  • Résolution numérique de l’écoulement diphasique en milieu poreux hétérogène incluant les effets inertiels 
    Communication avec acte
    ABBASIAN ARANI, Ali Akbar; LASSEUX, Didier; ccAHMADI-SENICHAULT, Azita (2007)
    La mise en place d'un outil numérique 3D de simulation d'écoulement diphasique hors régime de Darcy basé sur le modèle de Darcy-Forchheimer généralisé est présentée. L'outil est tout d’abord validé à l’aide d'une solution ...
  • Analysis of the role of structural disorder on the inertial correction to Darcy’s Law 
    Communication sans acte
    LASSEUX, Didier; ccAHMADI-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. ...
  • Numerical simulation of two-phase inertial flow in heterogeneous porous media 
    Article dans une revue avec comité de lecture
    ccAHMADI-SENICHAULT, Azita; ABBASIAN ARANI, Ali Akbar; LASSEUX, Didier (Springer Verlag, 2010)
    In this study, non-Darcy inertial two-phase incompressible and non-stationary flow in heterogeneous porous media is analyzed using numerical simulations. For the purpose, a 3D numerical tool was fully developed using a ...
  • One-phase flow in porous media: is the Forchheimer correction relevant? 
    Communication sans acte
    LASSEUX, Didier; ccAHMADI-SENICHAULT, Azita; ABBASIAN ARANI, Ali Akbar (2012)
    Our interest in this work is dedicated to the dependence upon the filtration velocity (or Reynolds number) of the inertial correction to Darcy's law for one-phase flow in homogeneous porous media. The starting point of our ...

Browse

All SAMCommunities & CollectionsAuthorsIssue DateCenter / InstitutionThis CollectionAuthorsIssue DateCenter / Institution

Newsletter

Latest newsletterPrevious newsletters

Statistics

Most Popular ItemsStatistics by CountryMost Popular Authors

ÉCOLE NATIONALE SUPERIEURE D'ARTS ET METIERS

  • Contact
  • Mentions légales

ÉCOLE NATIONALE SUPERIEURE D'ARTS ET METIERS

  • Contact
  • Mentions légales