Adaptive fully implicit multi-scale finite-volume method for multi-phase flow and transport in heterogeneous porous media

DOI10.1016/j.jcp.2006.01.028zbMath1160.76373OpenAlexW2070159602MaRDI QIDQ2508897

Publication date: 20 October 2006

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2006.01.028

zbMATH Keywords

numerical simulation multiscale methods heterogeneous porous media coupled flow and transport finite-volume immiscible multi-phase flow

Mathematics Subject Classification ID

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)

Related Items

Sequential fully implicit Newton method for compositional flow and transport ⋮ Multiscale finite-volume method for parabolic problems arising from compressible multiphase flow in porous media ⋮ A multiscale mixed finite element method with oversampling for modeling flow in fractured reservoirs using discrete fracture model ⋮ Adaptive algebraic multiscale solver for compressible flow in heterogeneous porous media ⋮ Residual-driven online generalized multiscale finite element methods ⋮ Algebraic dynamic multilevel (ADM) method for fully implicit simulations of multiphase flow in porous media ⋮ Hybrid Multiscale Finite Volume Method for Advection-Diffusion Equations Subject to Heterogeneous Reactive Boundary Conditions ⋮ A Multiscale Strategy for Bayesian Inference Using Transport Maps ⋮ A multi-resolution multiscale finite volume method for simulation of fluid flows in heterogeneous porous media ⋮ A Multilevel Multiscale Finite-Volume Method ⋮ Algebraic multiscale solver for flow in heterogeneous porous media ⋮ Iterative Galerkin-enriched multiscale finite-volume method ⋮ Local-global splitting for spatiotemporal-adaptive multiscale methods ⋮ Linearized reduced-order models for subsurface flow simulation ⋮ Accelerating multiscale simulation of complex geomodels by use of dynamically adapted basis functions ⋮ Consistent upwinding for sequential fully implicit multiscale compositional simulation ⋮ Efficient reordered nonlinear Gauss-Seidel solvers with higher order for black-oil models ⋮ Nonlinear domain decomposition scheme for sequential fully implicit formulation of compositional multiphase flow ⋮ Adaptive iterative multiscale finite volume method ⋮ Multiscale two-stage solver for Biot's poroelasticity equations in subsurface media ⋮ Convergent sequential fully implicit method for reservoir simulation ⋮ Sequential fully implicit Newton method for flow and transport with natural black-oil formulation ⋮ Coupling-strength criteria for sequential implicit formulations ⋮ Tightly coupled hyperbolic treatment of buoyant two-phase flow and transport in porous media ⋮ Zonal multiscale finite-volume framework ⋮ Modified sequential fully implicit scheme for compositional flow simulation ⋮ Sequential fully implicit formulation for compositional simulation using natural variables ⋮ An algebraic multiscale solver for the simulation of two-phase flow in heterogeneous and anisotropic porous media using general unstructured grids (AMS-U) ⋮ Multiphase flow modeling in multiscale porous media: an open-source micro-continuum approach ⋮ A hierarchical fracture model for the iterative multiscale finite volume method ⋮ Adaptive dynamic multilevel simulation of fractured geothermal reservoirs ⋮ Spectral Upscaling for Graph Laplacian Problems with Application to Reservoir Simulation ⋮ Hybrid discretization of multi-phase flow in porous media in the presence of viscous, gravitational, and capillary forces ⋮ Monotone iterative method of upper and lower solutions applied to a multilayer combustion model in porous media ⋮ A Constrained Pressure-Temperature Residual (CPTR) Method for Non-Isothermal Multiphase Flow in Porous Media ⋮ Sequential-implicit Newton method for multiphysics simulation ⋮ A fully implicit constraint-preserving simulator for the black oil model of petroleum reservoirs ⋮ Time adaptive conservative finite volume method ⋮ Efficient solution techniques for two-phase flow in heterogeneous porous media using exact Jacobians ⋮ Machine learning acceleration for nonlinear solvers applied to multiphase porous media flow ⋮ Local and global error models to improve uncertainty quantification ⋮ Iterative multiscale finite-volume method ⋮ Inexact methods for sequential fully implicit (SFI) reservoir simulation ⋮ Nonlinear acceleration of sequential fully implicit (SFI) method for coupled flow and transport in porous media ⋮ Adaptive enriched Galerkin methods for miscible displacement problems with entropy residual stabilization ⋮ Multiscale finite-element method for linear elastic geomechanics ⋮ Unstructured grid adaptation for multiscale finite volume method ⋮ A stochastic mixed finite element heterogeneous multiscale method for flow in porous media ⋮ Multiscale finite-volume method for compressible multiphase flow in porous media ⋮ Monotone multiscale finite volume method ⋮ Spatiotemporal adaptive multiphysics simulations of drainage-imbibition cycles ⋮ The multiscale restriction smoothed basis method for fractured porous media (F-MSRSB) ⋮ Algebraic multiscale method for flow in heterogeneous porous media with embedded discrete fractures (F-AMS) ⋮ Constrained pressure residual multiscale (CPR-MS) method for fully implicit simulation of multiphase flow in porous media ⋮ Finite-volume scheme for anisotropic diffusion ⋮ Multiscale finite-volume method for density-driven flow in porous media ⋮ Multiscale finite-volume formulation for multiphase flow in porous media: black oil formulation of compressible, three-phase flow with gravity ⋮ A comparison of multiscale methods for elliptic problems in porous media flow ⋮ Modeling complex wells with the multi-scale finite volume method ⋮ An adaptive time stepping algorithm for IMPES with high order polynomial extrapolation ⋮ Algebraic dynamic multilevel method for embedded discrete fracture model (F-ADM) ⋮ A new sequential method for three-phase immiscible flow in poroelastic media ⋮ Adaptive multiscale finite-volume method for nonlinear multiphase transport in heterogeneous formations ⋮ Multiscale mixed methods for two-phase flows in high-contrast porous media ⋮ A numerical study of the additive Schwarz preconditioned exact Newton method (ASPEN) as a nonlinear preconditioner for immiscible and compositional porous media flow ⋮ Multilevel Spectral Coarsening for Graph Laplacian Problems with Application to Reservoir Simulation ⋮ Recent advances on the numerical modelling of turbulent flows

Cites Work