A study of non-equilibrium wave groups in two-phase flow in high-contrast porous media with relative permeability hysteresis

DOI10.1016/j.cnsns.2023.107552OpenAlexW4387026477MaRDI QIDQ6058996

Wanderson Lambert, Eduardo Abreu, Paola Ferraz

Publication date: 1 November 2023

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2023.107552

zbMATH Keywords

discontinuous flux Riemann solution water flooding problem analytical-numerical projection relaxation method relaxation hysteresis two-level operator splitting

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Flows in porous media; filtration; seepage (76S05) Basic methods in fluid mechanics (76M99) Liquid-liquid two component flows (76T06)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Generalized multiscale finite element methods (GMsFEM)
A theory of $L ^{1}$-dissipative solvers for scalar conservation laws with discontinuous flux
Vanishing capillarity solutions of Buckley-Leverett equation with gravity in two-rocks' medium
A semi-Lagrangian finite difference WENO scheme for scalar nonlinear conservation laws
Numerical resolution of a pseudo-parabolic Buckley-Leverett model with gravity and dynamic capillary pressure in heterogeneous porous media
A semi-Lagrangian discontinuous Galerkin (DG)-local DG method for solving convection-diffusion equations
Three-phase immiscible displacement in heterogeneous petroleum reservoirs
Entropy conditions for scalar conservation laws with discontinuous flux revisited
A mass conservative generalized multiscale finite element method applied to two-phase flow in heterogeneous porous media
Non-oscillatory central differencing for hyperbolic conservation laws
Splitting methods for partial differential equations with rough solutions. Analysis and Matlab programs
Reale: a Reconnection-based Arbitrary-Lagrangian-Eulerian method
Identification of hysteresis loops
A random field model for anomalous diffusion in heterogeneous porous media
On the numerical simulation of waterflooding of heterogeneous petroleum reservoirs
Comparison of various formulations of three-phase flow in porous media
A domain decomposition method for the Helmholtz equation and related optimal control problems
Travelling wave solutions for the Richards equation incorporating non-equilibrium effects in the capillarity pressure
Convergence of the Lax-Friedrichs scheme and stability for conservation laws with a discontinuous space-time dependent flux
Crossover from nonlinearity controlled to heterogeneity controlled mixing in two-phase porous media flows
Multi-scale finite-volume method for elliptic problems in subsurface flow simulation.
Numerical modeling of degenerate equations in porous media flow. Degenerate multiphase flow equations in porous media
New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
High order numerical methods for flows with hysteretic fluxes
Recursive formulation and parallel implementation of multiscale mixed methods
Two-phase flow in porous media with hysteresis
A Godunov type scheme and error estimates for scalar conservation laws with Panov-type discontinuous flux
Multiscale finite volume method for finite-volume-based simulation of poroelasticity
An existence result for conservation laws having BV spatial flux heterogeneities -- without concavity
An explicit semi-Lagrangian, spectral method for solution of Lagrangian transport equations in Eulerian-Lagrangian formulations
A conservative generalized multiscale finite volume/element method for modeling two-phase flow with capillary pressure
A fast, robust, and simple Lagrangian-Eulerian solver for balance laws and applications
A convergence analysis of generalized multiscale finite element methods
A new finite volume approach for transport models and related applications with balancing source terms
Computing numerical solutions of the pseudo-parabolic Buckley-Leverett equation with dynamic capillary pressure
Numerical modelling of three-phase immiscible flow in heterogeneous porous media with gravitational effects
On the upstream mobility scheme for two-phase flow in porous media
A relaxation projection analytical-numerical approach in hysteretic two-phase flows in porous media
An exponential integration generalized multiscale finite element method for parabolic problems
A Third-Order Semidiscrete Central Scheme for Conservation Laws and Convection-Diffusion Equations
Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton--Jacobi Equations
A multiscale mortar multipoint flux mixed finite element method
Hysteresis models and gravity fingering in porous media
Asymptotic Behavior of Two-Phase Flows in Heterogeneous Porous Media for Capillarity Depending Only on Space. II. Nonclassical Shocks to Model Oil-Trapping
The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws
Permeability Hysteresis in Gravity Counterflow Segregation
Equivalence between lowest-order mixed finite element and multi-point finite volume methods on simplicial meshes
TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
A Spectral Method of Characteristics for Hyperbolic Problems
Godunov-Type Methods for Conservation Laws with a Flux Function Discontinuous in Space
Spectral Methods in Time for Hyperbolic Equations
Corrected Operator Splitting for Nonlinear Parabolic Equations
Fronts in two‐phase porous media flow problems: The effects of hysteresis and dynamic capillarity
On the Conservation Properties in Multiple Scale Coupling and Simulation for Darcy Flow with Hyperbolic-Transport in Complex Flows
Spectral methods for hyperbolic problems
Operator splitting methods for systems of convection-diffusion equations: nonlinear error mechanisms and correction strategies
Modeling hysteresis in porous media flow via relaxation
Finite volume approximation and well-posedness of conservation laws with moving interfaces under abstract coupling conditions
Conservation laws and Hamilton-Jacobi equations with space inhomogeneity

This page was built for publication: A study of non-equilibrium wave groups in two-phase flow in high-contrast porous media with relative permeability hysteresis