# [PDF] Top 20 Flux calculation at the interface between two rock types for two-phase flow in porous media

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### Flux calculation at the interface between two rock types for two-phase flow in porous media

... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ... Voir le document complet

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

... of **the** saturation fields **at** three given times: a t = 200 s, b t = 400 s, c t = 600 s **for** **two**-dimensional **flow** **in** a **two**-layer ...medium. **The** Darcy–Forchheimer model ... Voir le document complet

25

### Immiscible two-phase Darcy flow model accounting for vanishing and discontinuous capillary pressures: application to the flow in fractured porous media

... [5], **the** Vertex Approx- imate Gradient (VAG) discretization, employing **phase** pressures formulation, was applied to model **two**-**phase** Darcy flows **in** heterogeneous **porous** ... Voir le document complet

23

### Modeling two-phase flow of immiscible fluids in porous media: Buckley-Leverett theory with explicit coupling terms

... account **for** inertial effects by including additional drag terms [ 35 ], but we limit our analysis to creeping **flow** **in** this ...paper. **In** fact, **in** such cases, **the** ... Voir le document complet

21

### A hybrid-dimensional compositional two-phase flow model in fractured porous media with phase transitions and Fickian diffusion

... write **the** half **two**-**phase** Darcy **flux** continuity equations on both sides of **the** mf **interface** using a TPFA of **the** half fluxes on **the** fracture ...to **the** ... Voir le document complet

30

### A robust VAG scheme for a two-phase flow problem in heterogeneous porous media

... } **the** set of **rock** **types** surrounding **the** node s ∈ V, and we set χ k = {rt k } **for** all k ∈ ...M. **The** choice of **the** primary variables follows **the** variable switching ... Voir le document complet

8

### The gradient flow structure for incompressible immiscible two-phase flows in porous media

... on **the** model governing **the** motion of an incompressible immiscible **two**-**phase** **flow** **in** a possibly heterogeneous **porous** medium, that will appear **in** **the** sequel as ... Voir le document complet

8

### Coupling of a two phase gas liquid 3D Darcy flow in fractured porous media with a 1D free gas flow

... Introduction **Flow** and transport processes **in** domains composed of a **porous** medium and an adjacent free- **flow** region appear **in** a wide range of industrial and environmental ...is **in** ... Voir le document complet

19

### One-phase and Two-phase Flow In Highly Permeable Porous Media

... stands **for** **the** spatial averaging of a variable ϕ while ϕ stands **for** **the** time average, may lead to different macro-scale ...models. **The** fundamental reason is due to **the** fact that ... Voir le document complet

11

### Upscaling multi-component two-phase flow in porous media with partitioning coefficient

... **the** closure problems allow to map **the** concentration devia- tions onto macro-scale concentrations and gradients (similar relations exist **for** **the** velocity ...deviations). **The** closure ... Voir le document complet

14

### Vertex Approximate Gradient Scheme for Hybrid Dimensional Two-Phase Darcy Flows in Fractured Porous Media

... presents **the** Vertex Approximate Gradient (VAG) discretiza- tion of a **two**-**phase** Darcy **flow** **in** discrete fracture networks (DFN) taking into account **the** mass exchange **between** ... Voir le document complet

9

### Modeling two-phase flow of immiscible fluids in porous media: Buckley-Leverett theory with explicit coupling terms

... account **for** inertial effects by including additional drag terms [ 35 ], but we limit our analysis to creeping **flow** **in** this ...paper. **In** fact, **in** such cases, **the** ... Voir le document complet

20

### Vertex Approximate Gradient Discretization preserving positivity for two-phase Darcy flows in heterogeneous porous media

... Abstract **In** this article, a new nodal discretization is proposed **for** **two**-**phase** Darcy flows **in** heterogeneous **porous** ...**media**. **The** scheme combines **the** Vertex ... Voir le document complet

27

### On the effects of discontinuous capillarities for immiscible two-phase flows in porous media made of several rock-types

... (s), **the** ∂ x ϕ i (u) belongs to L ∞ (Ω i × R + ), then ϕ i (u) admits a strong trace on {x = ...represents **the** saturation **in** oil of **the** fluid, then it has naturally to stay bounded ... Voir le document complet

13

### Vertex Approximate Gradient Scheme for Hybrid Dimensional Two-Phase Darcy Flows in Fractured Porous Media

... of **the** hybrid dimensional Darcy **flow** model with continuous pressures has been **the** object of several ...works. **In** [24] a cell-centred Finite Volume scheme using a **Two** Point **Flux** ... Voir le document complet

31

### Finite volume approximation for an immiscible two-phase flow in porous media with discontinuous capillary pressure

... incompressible **two**-**phase** **flow** **in** a **porous** medium composed of **two** different rocks so that **the** capillary pressure field is discontinuous **at** **the** ... Voir le document complet

33

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

... 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

2

### Hybrid-dimensional modelling of two-phase flow through fractured porous media with enhanced matrix fracture transmission conditions

... **For** **two**-**phase** Darcy **flow**, **the** TPFA discretization is used **in** [25] with elimination of **the** mf inter- face pressures when computing **the** Darcy **flux** ... Voir le document complet

34

### Pressure drop and average void fraction measurements for two-phase flow through highly permeable porous media

... through **the** spillway ( Fig. 5 b). **The** swollen water level then decreases back to **the** upper bound of **the** debris bed, and a part of **the** water initially present **in** **the** test ... Voir le document complet

12

### Derivation of a macroscopic model for two-phase non-Darcy flow in homogeneous porous media using volume averaging

... collects **the** work of Arts et Métiers Institute of Technology researchers and makes it freely available over **the** web where ...published **in**: ... Voir le document complet

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