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2014 Exact Solution for Non-Self-Similar Wave-Interaction Problem during Two-Phase Four-Component Flow in Porous Media
S. Borazjani, P. Bedrikovetsky, R. Farajzadeh
Abstr. Appl. Anal. 2014(SI36): 1-13 (2014). DOI: 10.1155/2014/731567

Abstract

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 × 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 × 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.

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S. Borazjani. P. Bedrikovetsky. R. Farajzadeh. "Exact Solution for Non-Self-Similar Wave-Interaction Problem during Two-Phase Four-Component Flow in Porous Media." Abstr. Appl. Anal. 2014 (SI36) 1 - 13, 2014. https://doi.org/10.1155/2014/731567

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022969
MathSciNet: MR3182302
Digital Object Identifier: 10.1155/2014/731567

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI36 • 2014
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