Numerical model of gravity segregation of two-phase fluid in porous media based on hybrid upwinding

DOI10.1515/rnam-2021-0002zbMath1465.65085OpenAlexW3127437323MaRDI QIDQ2029477

I. A. Kremer, Maxim I. Ivanov, Yuriĭ M. Laevsky

Publication date: 3 June 2021

Published in: Russian Journal of Numerical Analysis and Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/rnam-2021-0002

zbMATH Keywords

maximum principleporous mediaexplicit schemetwo-phase fluidtotal flowgravity segregationhybrid upwinding

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Liquid-liquid two component flows (76T06)

Related Items (1)

Explicit-implicit schemes for non-isothermal filtration problem: single-temperature model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multidimensional upstream weighting for multiphase transport in porous media
• Unconditionally convergent nonlinear solver for hyperbolic conservation laws with S-shaped flux functions
• Theory of fluid flows through natural rocks
• Hybrid finite element techniques for oil recovery simulation
• Explicit difference schemes for solving stiff problems with a complex or separable spectrum
• Hybrid discretization of multi-phase flow in porous media in the presence of viscous, gravitational, and capillary forces
• Fully implicit multidimensional hybrid upwind scheme for coupled flow and transport
• Consistent upwinding for sequential fully implicit multiscale compositional simulation
• Implicit hybrid upwinding for two-phase flow in heterogeneous porous media with buoyancy and capillarity
• Analysis of Hybrid Upwinding for Fully-Implicit Simulation of Three-Phase Flow with Gravity
• Convergence of Implicit Monotone Schemes with Applications in Multiphase Flow in Porous Media
• Monotone Difference Approximations for Scalar Conservation Laws
• Upstream Differencing for Multiphase Flow in Reservoir Simulation
• Mixed and Hybrid Finite Element Methods
• Mathematical and Numerical Study of an Industrial Scheme for Two-phase Flows in Porous Media under Gravity
• Computational Methods for Multiphase Flows in Porous Media

This page was built for publication: Numerical model of gravity segregation of two-phase fluid in porous media based on hybrid upwinding