Exact solution for non-self-similar wave-interaction problem during two-phase four-component flow in porous media
type: Item
instance of: scholarly article
title: Exact solution for non-self-similar wave-interaction problem during two-phase four-component flow in porous media
zbMATH Open document ID: 1474.76084
DOI: 10.1155/2014/731567
author: S. Borazjani
author: P. Bedrikovetsky
author: Rouhollah Farajzadeh
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: Analytical solutions for one-dimensional two-phase multicomponent flows in porous media describe processes of enhanced oil recovery, environmental flows of waste disposal, and contaminant propagation in subterranean reservoirs and water management in aquifers. We derive the exact solution for \(3 \times 3\) hyperbolic system of conservation laws that corresponds to two-phase four-component flow in porous media where sorption of the third component depends on its own concentration in water and also on the fourth component concentration. Using the potential function as an independent variable instead of time allows splitting the initial system to \(2 \times 2\) system for concentrations and one scalar hyperbolic equation for phase saturation, which allows for full integration of non-self-similar problem with wave interactions.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 35L65
zbMATH DE Number: 7022969
Wikidata QID: Q59041018
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/731567
OpenAlex ID: W1982422820
cites work: Supersonic flow and shock waves. Reprint of the ed. published by Interscience Publishers, New York
cites work: Q3274320
cites work: Q4527762
cites work: Q3658380
cites work: Q4151274
cites work: Q4888890
cites work: First-order partial differential equations. Vol. 2: Theory and application of hyperbolic systems of quasilinear equations.
cites work: A Riemann Solver for a Two-Phase Multicomponent Process
cites work: The Riemann Problem for Multicomponent Polymer Flooding
cites work: Smooth approximations of global in time solutions to scalar conservation laws
cites work: Some theoretical results concerning the displacement of a viscous oil by a hot fluid in a porous medium
cites work: Theory of fluid flows through natural rocks
cites work: Nonisothermal displacement of oil by a solution of an active additive
cites work: Multicomponent Chromatography in a Two Phase Environment
cites work: The Solution of the Riemann Problem for a Hyperbolic System of Conservation Laws Modeling Polymer Flooding
cites work: Analytical solutions for co- and counter-current imbibition of sorbing, dispersive solutes in immiscible two-phase flow
cites work: On the theory of multicomponent chromatography
cites work: Displacement of oil by a solution of an active and a passive additive
description: scientific article; zbMATH DE number 7022969