Implicit hybrid upwinding for two-phase flow in heterogeneous porous media with buoyancy and capillarity

DOI10.1016/j.cma.2017.10.008zbMath1439.76156OpenAlexW2765783221MaRDI QIDQ2310735

Bradley T. Mallison, François P. Hamon, Hamdi A. Tchelepi

Publication date: 6 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2017.10.008

zbMATH Keywords

porous mediatwo-phase flow and transportimplicit finite-volume schemesheterogeneous capillarity

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12) Liquid-gas two-phase flows, bubbly flows (76T10) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (13)

Numerical homogenization of non-linear parabolic problems on adaptive meshes ⋮ 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 ⋮ Consistent upwinding for sequential fully implicit multiscale compositional simulation ⋮ Comparison of nonlinear field-split preconditioners for two-phase flow in heterogeneous porous media ⋮ A Robust VAG Scheme for a Two-Phase Flow Problem in Heterogeneous Porous Media ⋮ Hybrid discretization of multi-phase flow in porous media in the presence of viscous, gravitational, and capillary forces ⋮ Finite-volume simulation of capillary-dominated flow in matrix-fracture systems using interface conditions ⋮ Fully implicit multidimensional hybrid upwind scheme for coupled flow and transport ⋮ Numerical model of gravity segregation of two-phase fluid in porous media based on hybrid upwinding ⋮ Smooth implicit hybrid upwinding for compositional multiphase flow in porous media ⋮ 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

Uses Software

• NewtonLib

Cites Work

• Unnamed Item
• Trust-region based solver for nonlinear transport in heterogeneous porous media
• Nonlinear analysis of multiphase transport in porous media in the presence of viscous, buoyancy, and capillary forces
• Finite volume approximation for an immiscible two-phase flow in porous media with discontinuous capillary pressure
• Hybrid finite element techniques for oil recovery simulation
• Implicit hybrid upwind scheme for coupled multiphase flow and transport with buoyancy
• Analysis of Hybrid Upwinding for Fully-Implicit Simulation of Three-Phase Flow with Gravity
• Newton Methods for Nonlinear Problems
• Finite volume scheme for two-phase flows in heterogeneous porous media involving capillary pressure discontinuities
• Convergence of Implicit Monotone Schemes with Applications in Multiphase Flow in Porous Media
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Mathematical Structure of the Black-Oil Model for Petroleum Reservoir Simulation
• Mathematical Structure of Compositional Reservoir Simulation
• Upstream Differencing for Multiphase Flow in Reservoir Simulation
• Monotonicity Considerations for Saturated--Unsaturated Subsurface Flow
• Monotone Difference Approximations Of BV Solutions To Degenerate Convection-Diffusion Equations
• Numerical Approximation of a Two-phase Flow Problem in a Porous Medium with Discontinuous Capillary Forces

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