Hybrid discretization of multi-phase flow in porous media in the presence of viscous, gravitational, and capillary forces

DOI10.1007/s10596-018-9760-6zbMath1406.76059OpenAlexW2883639795MaRDI QIDQ1715375

Erdal Karapınar

Publication date: 4 February 2019

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

Full work available at URL: https://doi.org/10.1007/s10596-018-9760-6

zbMATH Keywords

discretizationgravityporous mediareservoir simulationupwindingnonlinear solvercapillary forceviscous forceimmiscible multiphase flow

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (9)

Numerical homogenization of non-linear parabolic problems on adaptive meshes ⋮ A conservative sequential fully implicit method for compositional reservoir simulation ⋮ Convergent sequential fully implicit method for reservoir simulation ⋮ Comparison of nonlinear field-split preconditioners for two-phase flow in heterogeneous porous media ⋮ A new physics-preserving IMPES scheme for incompressible and immiscible two-phase flow in heterogeneous porous media ⋮ 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

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
• Vanishing capillarity solutions of Buckley-Leverett equation with gravity in two-rocks' medium
• Unconditionally convergent nonlinear solver for hyperbolic conservation laws with S-shaped flux functions
• Variational inequalities for modeling flow in heterogeneous porous media with entry pressure
• Analysis of upscaling absolute permeability
• A phase-by-phase upstream scheme that converges to the vanishing capillarity solution for countercurrent two-phase flow in two-rock media
• A triangle based mixed finite element -- finite volume technique for modeling two phase flow through porous media
• Multi-scale finite-volume method for elliptic problems in subsurface flow simulation.
• Implicit hybrid upwind scheme for coupled multiphase flow and transport with buoyancy
• Implicit hybrid upwinding for two-phase flow in heterogeneous porous media with buoyancy and capillarity
• A robust linearization scheme for finite volume based discretizations for simulation of two-phase flow in porous media
• Adaptive fully implicit multi-scale finite-volume method for multi-phase flow and transport in heterogeneous porous media
• Analysis of Hybrid Upwinding for Fully-Implicit Simulation of Three-Phase Flow with Gravity
• Finite volume scheme for two-phase flows in heterogeneous porous media involving capillary pressure discontinuities
• Interface conditions for degenerate two-phase flow equations in one space dimension
• Mathematical Structure of Compositional Reservoir Simulation
• Upstream Differencing for Multiphase Flow in Reservoir Simulation
• Analysis of Oil Trapping in Porous Media Flow
• Finite Volume Methods for Hyperbolic Problems
• A robust, mass conservative scheme for two-phase flow in porous media including Hölder continuous nonlinearities
• The Impact of Uncertain Centrifuge Capillary Pressure on Reservoir Simulation
• Stability and existence of solutions of time-implicit finite volume schemes for viscous nonlinear conservation laws

This page was built for publication: Hybrid discretization of multi-phase flow in porous media in the presence of viscous, gravitational, and capillary forces