Discontinuous finite volume method for compressible miscible displacement problems in porous media
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5588
Abstract: The compressible miscible displacement problem in porous media is modeled by a coupled system of two nonlinear partial differential equations: the pressure equation and the concentration equation are parabolic equation. In this article, we present… read more here.
Keywords: discontinuous finite; finite volume; compressible miscible; equation ... See more keywords
Unified Convergence Analysis of Numerical Schemes for a Miscible Displacement Problem
Sign Up to like & getrecommendations! Published in 2019 at "Foundations of Computational Mathematics"
DOI: 10.1007/s10208-018-9387-y
Abstract: This article performs a unified convergence analysis of a variety of numerical methods for a model of the miscible displacement of one incompressible fluid by another through a porous medium. The unified analysis is enabled… read more here.
Keywords: analysis; unified convergence; convergence analysis; miscible displacement ... See more keywords
Testing the Validity of the Miscible-Displacement Interfacial Tracer Method for Measuring Air-Water Interfacial Area: Independent Benchmarking and Mathematical Modeling.
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DOI: 10.1016/j.chemosphere.2020.128193
Abstract: The interfacial tracer test (ITT) conducted via aqueous miscible-displacement column experiments is one of a few methods available to measure air-water interfacial areas for porous media. The primary objective of this study was to examine… read more here.
Keywords: air water; water; water interfacial; miscible displacement ... See more keywords
Fuzzification of the miscible displacement model in heterogeneous porous media
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.03.015
Abstract: Abstract Typical realistic models for multiphase flow in heterogeneous formations are complex and random, and must incorporate the uncertainties inherent to the mixture process. These uncertainties can be modeled using differential equations coefficients, such as… read more here.
Keywords: displacement model; fuzzification miscible; model; miscible displacement ... See more keywords
Two-grid methods for miscible displacement problem by Galerkin methods and mixed finite-element methods
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DOI: 10.1080/00207160.2017.1322689
Abstract: ABSTRACT The miscible displacement problem of one incompressible fluid is modelled by a nonlinear coupled system of two partial differential equations in porous media. One equation is elliptic form for the pressure and the other… read more here.
Keywords: mixed finite; two grid; displacement problem; miscible displacement ... See more keywords
A fully mixed virtual element method for Darcy–Forchheimer miscible displacement of incompressible fluids appearing in porous media
Sign Up to like & getrecommendations! Published in 2023 at "IMA Journal of Numerical Analysis"
DOI: 10.1093/imanum/drad023
Abstract: The incompressible miscible displacement of two-dimensional Darcy–Forchheimer flow is discussed in this paper, and the mathematical model is formulated by two partial differential equations, a Darcy–Forchheimer flow equation for the pressure and a convection–diffusion equation… read more here.
Keywords: darcy forchheimer; miscible displacement; forchheimer; mixed virtual ... See more keywords