AHMADI-SENICHAULT, Azita; ABBASIAN ARANI, Ali Akbar; LASSEUX, Didier

doi:10.1007/s11242-009-9491-1

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AHMADI-SENICHAULT, Azita
Transferts, écoulements, fluides, énergétique [TREFLE]

ABBASIAN ARANI, Ali Akbar

LASSEUX, Didier

Transferts, écoulements, fluides, énergétique [TREFLE]

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Transport in Porous Media. 2010-08, vol. 84, n° 1, p. 177-200

Springer Verlag

Résumé en anglais

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 finite volume formulation, although for clarity, results are presented in 1D and 2D configurations only. Since a formalized theoretical model confirmed by experimental data is still lacking, our study is based on the widely used generalized Darcy–Forchheimer model. First, 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. Second, we highlight the importance of inertial terms on the evolution of saturation fronts as a function of a suitable Reynolds number. Saturation fields are shown to have a structure markedly different from the classical case without inertia, especially for heterogeneous media, thereby, emphasizing the necessity of a more complete model than the classical generalized Darcy’s one when inertial effects are not negligible.< Réduire

Mots clés en anglais

Inertial two-phase flow

Numerical simulations

Generalized Darcy–Forchheimer model

Heterogeneous porous media

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Numerical simulation of two-phase inertial flow in heterogeneous porous media

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