Two-phase porous media flows
The gradient flow structure for incompressible immiscible two-phase flows in porous media
... IMMISCIBLE TWO-PHASE FLOWS IN POROUS MEDIA CL´ EMENT CANC` ES, THOMAS ...of two incompressible immiscible fluids in a possibly heterogeneous porous medium has a formal ...
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Gradient discretization of two-phase flows coupled with mechanical deformation in fractured porous media
... a two-phase Darcy flow in a fractured porous medium consisting in a matrix flow coupled with a tangential flow in the fractures, described as a network of planar ...the phase mobilities and ...
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Analysis of a finite volume-finite element method for Darcy-Brinkman two-phase flows in porous media
... Darcy-Brinkman two-phase flows in porous media Houssein NASSER EL DINE (1,2) , Mazen SAAD (1) Abstract In this paper, we are interested in the displacement of two incompressible ...
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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 Approximate Gradient (VAG) ...
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A new numerical algorithm for two-phase flows drift-flux model with staggered grid in porous media
... FOR TWO-PHASE FLOWS DRIFT-FLUX MODEL WITH STAGGERED GRID IN POROUS MEDIA Anouar MEKKAS 1 , Anne CHARMEAU 2 and Sami KOURAICHI 3 ...for two-phase flows in a ...
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Vertex Approximate Gradient Scheme for Hybrid Dimensional Two-Phase Darcy Flows in Fractured Porous Media
... dimensional two-phase Darcy ...Darcy flows in [14] for immiscible flows and in [15] for compositional ...a phase pressures formulation in order to capture the saturation jumps at ...
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A Convergent Finite Volume Scheme for Two-Phase Flows in Porous Media with Discontinuous Capillary Pressure Field *
... 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’enseignement et de recherche français ou ...
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On the effects of discontinuous capillarities for immiscible two-phase flows in porous media made of several rock-types
... Volumes for Complex Applications V : Problems and perspectives”, Papers from the 5th Symposium held in Aussois, June 08–13, 2008 (eds. R. Eymard and J.-M. H´ erard), Hermes Science Publications, Paris, (2008), 249–256. ...
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Modelization and discretization of two-phase flows in porous media with discrete fracture networks
... the two-phase Darcy flow problem lead to the systems of nonlinear equations, which are traditionally solved by some variant of Newton’s ...for two-phase flows in heterogeneous ...
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Numerical simulation of non-isothermal compositional two-phase flows in porous media and its applications to high energy geothermy
... a Two Point Flux Approximation with a transmissibility taking into account the unresolved singularity of the pressure (or temperature) solution in the neighbour- hood of the ...
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Positivity-preserving finite volume scheme for compressible two-phase flows in anisotropic porous media: The densities are depending on the physical pressures
... 2 Discrete setting We here describe the used meshes as well as some relevant notations. 2.1 Spatial discretizations of the porous medium In the framework of the vertex-centered finite volume methods we need to ...
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Finite volume/finite element schemes for compressible two-phase flows inheterogeneous and anisotropic porous media
... acquire a solution with some negative values. In general, the monotonicity of the DDFV scheme has been a drawback for the method since it has appeared. However, in the work of [ 37 ] the authors were able to design a ...
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Vertex Approximate Gradient Scheme for Hybrid Dimensional Two-Phase Darcy Flows in Fractured Porous Media
... the bottom side in the domain initially saturated with water, quickly rises by gravity along the faults and slowly penetrate in the matrix. Figure 2 compares the convergence of the oil saturation on the family of re- ...
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Generalized Lagrangian Coordinates for Transport and Two-Phase Flows in Heterogeneous Anisotropic Porous Media
... As was previously mentioned, the convection operator is one dimensional in the Buckley–Leverett limit even in the case of anisotropic permeability fields when it is expressed in the Buck[r] ...
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Analytical Solutions for Multicomponent, Two-Phase Flow in Porous Media with Double Contact Discontinuities
... three-component, two-phase flows is ...between two nontie-line paths by means of a double contact discontinuity along an intermediate tie line that is neither a 1-Lax shock, nor 2-Lax shock, ...
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Two phase compressible and immiscible flow in porous media : mathematical and numerical analysis
... in porous media ...of two im- miscible fluid phases within a porous ...consider two-phase flow model where the fluids are immiscible and there is no mass transfer between the ...
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Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation
... multiphase flows in porous media in ...each phase with respect to the sign of the phase Darcy flux (see [3, 22], and [18] in the framework of the VAG ...
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Modeling of Inertial Multi-Phase Flows through High Permeability Porous Media: Friction Closure Laws
... Indeed, the experimental data cited above have been performed mainly under atmospheric pressure in thermal-hydraulic condi- tions representative of a severe accident in a nuclear reactor. They correspond to water ...
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Modeling of Inertial Multi-Phase Flows through High Permeability Porous Media: Friction Closure Laws
... multi-phase flows in porous media is of great interest in many scientific and industrial fields, such as chemical engineering, petroleum engineering, environmental sciences or ge- ...creeping ...
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Hybrid dimensional modeling of multi-phase Darcy flows in fractured porous media
... either Two Point or Multi Point Flux Approximations (TPFA and MPFA) [3, 4, 6, 49, 54, 66, 69], Mixed or Mixed Hybrid Finite Element methods (MFE and MHFE) [5, 50, 56], Hybrid Mimetic Mixed Methods (HMM, which ...
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