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Inertial flow in porous media: A numerical investigation on model structures

Communication avec acte
Auteur
AGNAOU, Mehrez
LASSEUX, Didier
ccAHMADI-SENICHAULT, Azita

URI
http://hdl.handle.net/10985/9888
Date
2013

Résumé

The aim of this work is to study the correction to Darcy's law for inertial flow in porous media. In many situations encountered in industrial applications such as flow in column reactors, gas flow near wells for hydrocarbon recovery and CO2 sequestration, flow in filters... , Reynolds numbers are large enough to lead to a non-linear relationship between the filtration velocity and the pressure gradient. In this work, a numerical analysis of the non linear -inertial- correction to Darcy's law is carried out for the stationary inertial flow of a one-phase Newtonian incompressible fluid on model 2D and 3D structures. Effective properties appearing in the macroscopic model resulting from the volume averaging of the mass and momentum (Navier-Stokes) equations at the pore scale are determined using the microscopic flow fields and solving the closure problems resulting from up-scaling. From the numerical simulations, the dependence of the correction to Darcy's law on the geometrical properties of the 3D structure is studied. These properties are the shape of the solid grains which may be cubic or spherical and the degree of disorder in their arrangement in the domain. Weak disorder corresponds to a random placement of the grains of identical shape and size within each cell of a regular 3D lattice, while for strong disorder, grain size is also randomly distributed.

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

Documents liés

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  • From steady to unsteady laminar flow in model porous structures: an investigation of the first Hopf bifurcation 
    Article dans une revue avec comité de lecture
    AGNAOU, Mehrez; LASSEUX, Didier; ccAHMADI-SENICHAULT, Azita (Elsevier, 2016)
    This work focuses on the occurrence of the first Hopf bifurcation, corresponding to the transition from steady to unsteady flow conditions, on 2D periodic ordered and disordered non-deformable porous structures. The ...
  • Origin of the inertial deviation from Darcy's law: An investigation from a microscopic flow analysis on two-dimensional model structures 
    Article dans une revue avec comité de lecture
    AGNAOU, Mehrez; LASSEUX, Didier; ccAHMADI-SENICHAULT, Azita (American Physical Society (APS), 2017)
    Inertial flow in porous media occurs in many situations of practical relevance among which one can cite flows in column reactors, in filters, in aquifers, or near wells for hydrocarbon recovery. It is characterized by a ...
  • Numerical porosimetry: Evaluation and comparison of yield stress fluids method, mercury intrusion porosimetry and pore network modelling approaches 
    Article dans une revue avec comité de lecture
    ccRODRIGUEZ DE CASTRO, Antonio; AGNAOU, Mehrez; ccAHMADI-SENICHAULT, Azita; OMARI, Abdelaziz (Elsevier BV, 2020)
    Mercury Intrusion Porosimetry (MIP) is still today the reference porosimetry technique despite its environmental health and safety concerns. As a safe alternative, the Yield Stress fluids Method (YSM) consists in computing ...
  • Numerical investigation of Herschel–Bulkley fluid flows in 2D porous media: Yielding behaviour and tortuosity 
    Article dans une revue avec comité de lecture
    ccRODRIGUEZ DE CASTRO, Antonio; AGNAOU, Mehrez; ccAHMADI-SENICHAULT, Azita; OMARI, Abdelaziz (Elsevier BV, 2020)
    Hydraulic tortuosity is commonly used as an input to macroscopic flow models in porous media, accounting for the sinuosity of the streamlines. It is well known that hydraulic tortuosity does not depend on the applied ...
  • Application of Non-toxic Yield Stress Fluids Porosimetry Method and Pore-Network Modelling to Characterize the Pore Size Distribution of Packs of Spherical Beads 
    Article dans une revue avec comité de lecture
    ccRODRIGUEZ DE CASTRO, Antonio; AGNAOU, Mehrez; ccAHMADI-SENICHAULT, Azita; OMARI, Abdelaziz (Springer Science and Business Media LLC, 2019)
    With X-ray computed tomography still being flawed as a result of limitations in terms of spatial resolution and cost, toxic mercury intrusion porosimetry (MIP) is nowadays the prevailing technique to determine PSDs of most ...

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