Exact Solution for Non-Self-Similar Wave-Interaction Problem during Two-Phase Four-Component Flow in Porous Media
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 hy...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/731567 |
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| author | S. Borazjani P. Bedrikovetsky R. Farajzadeh |
| author_facet | S. Borazjani P. Bedrikovetsky R. Farajzadeh |
| author_sort | S. Borazjani |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-7f0b159ce103457cb9840bbafc90e5c1 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-7f0b159ce103457cb9840bbafc90e5c12025-02-03T06:11:00ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/731567731567Exact Solution for Non-Self-Similar Wave-Interaction Problem during Two-Phase Four-Component Flow in Porous MediaS. Borazjani0P. Bedrikovetsky1R. Farajzadeh2Australian School of Petroleum, The University of Adelaide, SA 5005, AustraliaAustralian School of Petroleum, The University of Adelaide, SA 5005, AustraliaShell Global Solutions International, Rijswijk, The NetherlandsAnalytical 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.http://dx.doi.org/10.1155/2014/731567 |
| spellingShingle | S. Borazjani P. Bedrikovetsky R. Farajzadeh Exact Solution for Non-Self-Similar Wave-Interaction Problem during Two-Phase Four-Component Flow in Porous Media Abstract and Applied Analysis |
| title | Exact Solution for Non-Self-Similar Wave-Interaction Problem during Two-Phase Four-Component Flow in Porous Media |
| title_full | Exact Solution for Non-Self-Similar Wave-Interaction Problem during Two-Phase Four-Component Flow in Porous Media |
| title_fullStr | Exact Solution for Non-Self-Similar Wave-Interaction Problem during Two-Phase Four-Component Flow in Porous Media |
| title_full_unstemmed | Exact Solution for Non-Self-Similar Wave-Interaction Problem during Two-Phase Four-Component Flow in Porous Media |
| title_short | Exact Solution for Non-Self-Similar Wave-Interaction Problem during Two-Phase Four-Component Flow in Porous Media |
| title_sort | exact solution for non self similar wave interaction problem during two phase four component flow in porous media |
| url | http://dx.doi.org/10.1155/2014/731567 |
| work_keys_str_mv | AT sborazjani exactsolutionfornonselfsimilarwaveinteractionproblemduringtwophasefourcomponentflowinporousmedia AT pbedrikovetsky exactsolutionfornonselfsimilarwaveinteractionproblemduringtwophasefourcomponentflowinporousmedia AT rfarajzadeh exactsolutionfornonselfsimilarwaveinteractionproblemduringtwophasefourcomponentflowinporousmedia |