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

DOI10.1007/s10596-017-9675-7zbMath1396.76055OpenAlexW2555688878MaRDI QIDQ1785129

Jeanne Pellerin, Mayya Groza, Konstantin Brenner, Laurent Jeannin, Roland Masson

Publication date: 28 September 2018

Published in: Computational Geosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10596-017-9675-7

zbMATH Keywords

capillary pressurefinite volume discretizationheterogeneous porous mediadiscrete fracture networktwo-phase Darcy flow

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (21)

Upstream mobility finite volumes for the Richards equation in heterogenous domains ⋮ Sequential implicit vertex approximate gradient discretization of incompressible two-phase Darcy flows with discontinuous capillary pressure ⋮ A hybrid-dimensional compositional two-phase flow model in fractured porous media with phase transitions and Fickian diffusion ⋮ A Lagrange multiplier method for a discrete fracture model for flow in porous media ⋮ Two-phase geothermal model with fracture network and multi-branch wells ⋮ Algebraic flux correction finite element method with semi-implicit time stepping for solute transport in fractured porous media ⋮ Sub-grid models for multiphase fluid flow inside fractures in poroelastic media ⋮ Hybrid-dimensional modelling of two-phase flow through fractured porous media with enhanced matrix fracture transmission conditions ⋮ A Robust VAG Scheme for a Two-Phase Flow Problem in Heterogeneous Porous Media ⋮ On the Conservation Properties in Multiple Scale Coupling and Simulation for Darcy Flow with Hyperbolic-Transport in Complex Flows ⋮ Finite-volume simulation of capillary-dominated flow in matrix-fracture systems using interface conditions ⋮ A Hybrid High-Order Method for Darcy Flows in Fractured Porous Media ⋮ Nodal Discretization of Two-Phase Discrete Fracture Matrix Models ⋮ A finite volume method for a coupled fracture model with matching and nonmatching grids ⋮ Improving Newton's Method Performance by Parametrization: The Case of the Richards Equation ⋮ A Gravity Current Model with Capillary Trapping for Oil Migration in Multilayer Geological Basins ⋮ Two-phase discrete fracture matrix models with linear and nonlinear transmission conditions ⋮ Non-isothermal compositional liquid gas Darcy flow: formulation, soil-atmosphere boundary condition and application to high-energy geothermal simulations ⋮ Vertex approximate gradient discretization preserving positivity for two-phase Darcy flows in heterogeneous porous media ⋮ On several numerical strategies to solve Richards' equation in heterogeneous media with finite volumes ⋮ Non-isothermal Compositional Two-Phase Darcy Flow: Formulation and Outflow Boundary Condition

Uses Software

• TetGen

Cites Work

• Unnamed Item
• An efficient multi-point flux approximation method for discrete fracture-matrix simulations
• Domain decomposition for an asymptotic geological fault modeling
• A model for conductive faults with non-matching grids
• Gradient discretization of hybrid dimensional Darcy flows in fractured porous media
• Control-volume distributed multi-point flux approximation coupled with a lower-dimensional fracture model
• Hybrid-dimensional modelling of two-phase flow through fractured porous media with enhanced matrix fracture transmission conditions
• Small-stencil 3D schemes for diffusive flows in porous media
• An Existence Result for Multidimensional Immiscible Two-Phase Flows with Discontinuous Capillary Pressure Field
• Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation
• Asymptotic and numerical modelling of flows in fractured porous media
• Gradient discretization of hybrid-dimensional Darcy flow in fractured porous media with discontinuous pressures at matrix–fracture interfaces
• Vertex Approximate Gradient Scheme for Hybrid Dimensional Two-Phase Darcy Flows in Fractured Porous Media
• TetGen, a Delaunay-Based Quality Tetrahedral Mesh Generator
• Modeling Fractures and Barriers as Interfaces for Flow in Porous Media

This page was built for publication: Immiscible two-phase Darcy flow model accounting for vanishing and discontinuous capillary pressures: application to the flow in fractured porous media