[PDF] Top 20 Pressure drop for inertial flows in elastic porous media

... for the DFD17 Meeting of The American Physical Society Pressure drop for inertial flows in elastic porous media 1 MAR- TIN PAUTHENET, Institut de M´ ... Voir le document complet

... 1. M. Bertsch, R. Dal Passo, and C. J. van Duijn. Analysis of oil trapping in porous media flow. SIAM J. Math. Anal., 35:245–267, 2003. 2. K. Brenner, C. Canc`es, and D. Hilhorst. Convergence of a ... Voir le document complet

... 1 pressure defined by u 1 ini (x) = u 2 ini ...(2) in order to improve the stability of the solution on coarse meshes for convective dominant ...−7 for the GMRes solver and to 10 −6 for ... Voir le document complet

... Conclusions In this article, the combination of the VAG discretization for the approximation of the gradient fluxes with the HU approximation of the mobility terms in the saturation equation is shown ... Voir le document complet

... works. In [24] a cell-centred Finite Volume scheme using a Two Point Flux Ap- proximation (TPFA) is proposed assuming the orthogonality of the mesh and isotropic permeability ...introduced in [31] ... Voir le document complet

... As for the transport problem, we observed that for high fracture ma- trix conductivity ratios, the equi- and hybrid-dimensional solutions match well and that for lower conductivity ratios, they ... Voir le document complet

... through porous media is of interest in several domains, such as petroleum recov- ery, chemical and environmental ...form for two-phase flow ( Muskat 1937 ; Raats and Klute 1968 ) remain ... Voir le document complet

... Darcy flows in fractured porous media for which the fractures are modelized as interfaces of codimension ...one. In this framework, the d − 1 dimensional flow in the ... Voir le document complet

... diffusion in comparison to hybrid ...proposed in the literature 72 , 73 and, in the present work, we used an improved version of this ...and pressure fields were sought itera- tively following ... Voir le document complet

... with discontinuous capillary pressure field. SIAM J. Math. Anal., 44(2):966–992, 2012. [11] G. Chavent and J. Jaffr´ e. Mathematical Models and Finite Elements for Reservoir Simula- tion, volume 17. ... Voir le document complet

... a pressure gradient orientation θ defined by the inclination of ∇hp β i on ex for 0 ≤ Re k ≤ 10, 0 ◦ ≤ θ ≤ 90 ◦ ...obtained in the above mentioned configuration are reported in figure ...while ... Voir le document complet

... Turbulent flows in porous media (continued) Turbulent flows in porous media (continued)  Localized Turbulence: ...2015 for DNS results) – Slow unsteady ... Voir le document complet

... analysis, porous medium, miscible fluid flows ...Bear in [6] and Douglas in ...another in a porous medium; the fluids are assumed incompressible and the gravity is ne- ...the ... Voir le document complet

... out in all the generated pore geometries, allowing a detailed analysis of the inertial correction to Darcy’s ...flow for which the average model in ...module in the COM- SOL ... Voir le document complet

... 7. Pressure-based Riemann solver applied to test 1 of Table 1: Pressure-based solver (red and blue lines), Roe solver (sky blue line) and exact (dash) solutions compared at time ...methods for ... Voir le document complet

... computed for five nested grids, with N triangular elements, with respect to the corresponding reference time histories ...developed, in the framework of the gradient discretization method, the numerical ... Voir le document complet

... two-phase flows the VAG and HFV schemes introduced in Chapter 1 for single phase Darcy ...flows. For a single medium, the VAG scheme has been introduced for the discretization of ... Voir le document complet

... 5. Brenner, K., Canc`es, C., and Hilhorst, D. : Finite volume approximation for an immiscible two-phase flow in porous media with discontinuous capillary pressure. Computational ... Voir le document complet

... regime, for Re d > 10, with the Forchheimer correction again quadratic with the Reynolds ...forward in rendering (some of) these bound- aries rigorous and independent of the arrangement of the pores, ... Voir le document complet

... two-phase flows are widely used in oil engineering to predict the motion of oil in the ...[35]). In these models, sometimes referred to as dead-oil approximations, it is assumed that there are ... Voir le document complet