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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 731567, 13 pages
Research Article

Exact Solution for Non-Self-Similar Wave-Interaction Problem during Two-Phase Four-Component Flow in Porous Media

1Australian School of Petroleum, The University of Adelaide, SA 5005, Australia
2Shell Global Solutions International, Rijswijk, The Netherlands
3Delft University of Technology, The Netherlands

Received 6 September 2013; Revised 27 December 2013; Accepted 29 December 2013; Published 12 March 2014

Academic Editor: Shuyu Sun

Copyright © 2014 S. Borazjani et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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 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 system for concentrations and one scalar hyperbolic equation for phase saturation, which allows for full integration of non-self-similar problem with wave interactions.