[PDF] Top 20 An investigation of inertial one-phase flow in homogeneous model porous media

... 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 ... Voir le document complet

... In these last relationships, K γβ and K βγ are the two viscous drag tensors obtained from the solution of the boundary value problems also given in Appendix ...Conclusions In this work, we ... Voir le document complet

... 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 ... Voir le document complet

... ), of the Reynolds number. For flow past an isolated circular cylinder, the wake behind the cylinder becomes periodically oscillating at the bifurcation which occurs at Re dc ≈ 50, leading to the ... Voir le document complet

... For one-phase flow, we have shown that moderate inertial effects can be captured by modifications of Darcy’s ...form of the drag, the localization of the flow ... Voir le document complet

... value of n and the expressions of A ( α ) and B ( α ) in the Tung&Dhir model depend on α , defining several flow ...case of structured packings may require the introduction ... Voir le document complet

... is an open access repository that collects the work of Arts et Métiers Institute of Technology researchers and makes it freely available over the web where ...is an author-deposited version ... Voir le document complet

... showed in his seminal work [18] that the so-called porous medium equation: ∂ t ρ − ∆ρ m = 0 for (x, t) ∈ R N × R + and m > 1, which is a very simplified model corresponding to the case of ... Voir le document complet

... case of two-phase Darcy flow, a natural extension of continuous pressure models is considered in [17, 18, 19, 20, 21, 22, 23, 24] for fractures acting as ...both phase pressures ... Voir le document complet

... 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 ... Voir le document complet

... onset of deviation from Eq. (1) was reported in both numerical and theoretical works, questioning the quadratic dependence of the ...on model structures made of ordered arrays of ... Voir le document complet

... bi-structured porous media where it may be useful to split the flow of a single phase into two coupled continuum ...instance, in tangential filters in which two sets of ... Voir le document complet

... is an open access repository that collects the work of Arts et Métiers Institute of Technology researchers and makes it freely available over the web where ...is an author-deposited version ... Voir le document complet

... degradation of the hybrid dimensional solutions ...importance of fracture conductivity w.r.t. the diffusion in normal direction inside the fracture network, added artificially by the averaging ... Voir le document complet

... as flow in the near-wellbore region and/or in very permeable reservoirs, hydrocarbon recovery by water flooding or gas injection can lead to high flow rates involving significant ... Voir le document complet

... value of n and the expressions of A ( α ) and B ( α ) in the Tung&Dhir model depend on α , defining several flow ...case of structured packings may require the introduction ... Voir le document complet

... number of Newton iterations as a func- tion of time for the pressure-saturation and variable switch ...most of the time step failures occur for the pressure-saturation formula- tion during the water ... Voir le document complet

... effects of the capillary diffusion are often negligible within the homogeneous rock, several contributions have been proposed for computing the vanishing capillarity ...mention in partic- ular the ... Voir le document complet

... choice of primary unknowns selected among wetting phase and non-wetting phase pressure and saturation, or capillary pressure [19, ...state of the art can be found in the reference ... Voir le document complet

... problem of linear solving, when considering implicit scheme for two- phase flow simulation in porous ...behaviors of the pressure unknown (which follows a diffusion equation) and ... Voir le document complet