Analytical model of vertical oil-water displacement with the account of viscous, capillary and gravity forces
A mathematical model of water displacement in vertical porous media is presented. The mathematical formulation takes the form of a nonlinear convection-diffusion equation. Its contribution comes from consideration of the three chief forces: viscous, capillary and gravity in oil recovery processes. A...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2012-03-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Online Access: | http://mi.mathnet.ru/eng/vsgtu1006 |
| _version_ | 1818662468720787456 |
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| author | N. R. Kondratyeva G. T. Bulgakova |
| author_facet | N. R. Kondratyeva G. T. Bulgakova |
| author_sort | N. R. Kondratyeva |
| collection | DOAJ |
| description | A mathematical model of water displacement in vertical porous media is presented. The mathematical formulation takes the form of a nonlinear convection-diffusion equation. Its contribution comes from consideration of the three chief forces: viscous, capillary and gravity in oil recovery processes. A numerical model was based on the simulator Schlumberger ECLIPSE ver. 2004a_1. Finally, analytical and numerical results are compared. |
| first_indexed | 2024-12-17T05:01:26Z |
| format | Article |
| id | doaj.art-ed1bac4c20634fa8874d7307ebf56587 |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-12-17T05:01:26Z |
| publishDate | 2012-03-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-ed1bac4c20634fa8874d7307ebf565872022-12-21T22:02:33ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812012-03-011(26)20821310.14498/vsgtu1006Analytical model of vertical oil-water displacement with the account of viscous, capillary and gravity forcesN. R. KondratyevaG. T. BulgakovaA mathematical model of water displacement in vertical porous media is presented. The mathematical formulation takes the form of a nonlinear convection-diffusion equation. Its contribution comes from consideration of the three chief forces: viscous, capillary and gravity in oil recovery processes. A numerical model was based on the simulator Schlumberger ECLIPSE ver. 2004a_1. Finally, analytical and numerical results are compared.http://mi.mathnet.ru/eng/vsgtu1006 |
| spellingShingle | N. R. Kondratyeva G. T. Bulgakova Analytical model of vertical oil-water displacement with the account of viscous, capillary and gravity forces Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| title | Analytical model of vertical oil-water displacement with the account of viscous, capillary and gravity forces |
| title_full | Analytical model of vertical oil-water displacement with the account of viscous, capillary and gravity forces |
| title_fullStr | Analytical model of vertical oil-water displacement with the account of viscous, capillary and gravity forces |
| title_full_unstemmed | Analytical model of vertical oil-water displacement with the account of viscous, capillary and gravity forces |
| title_short | Analytical model of vertical oil-water displacement with the account of viscous, capillary and gravity forces |
| title_sort | analytical model of vertical oil water displacement with the account of viscous capillary and gravity forces |
| url | http://mi.mathnet.ru/eng/vsgtu1006 |
| work_keys_str_mv | AT nrkondratyeva analyticalmodelofverticaloilwaterdisplacementwiththeaccountofviscouscapillaryandgravityforces AT gtbulgakova analyticalmodelofverticaloilwaterdisplacementwiththeaccountofviscouscapillaryandgravityforces |