Conservation laws for two-phase filtration models; Communications in Nonlinear Science and Numerical Simulation; Vol. 19, iss. 2
| Parent link: | Communications in Nonlinear Science and Numerical Simulation Vol. 19, iss. 2.— 2014.— [P. 383-389] |
|---|---|
| Outros Autores: | , , , |
| Resumo: | Title screen The paper is devoted to investigation of group properties of a one-dimensional model of two-phase filtration in porous medium. Along with the general model, some of its particular cases widely used in oil-field development are discussed. The Buckley–Leverett model is considered in detail as a particular case of the one-dimensional filtration model. This model is constructed under the assumption that filtration is one-dimensional and horizontally directed, the porous medium is homogeneous and incompressible, the filtering fluids are also incompressible. The model of “chromatic fluid” filtration is also investigated. New conservation laws and particular solutions are constructed using symmetries and nonlinear self-adjointness of the system of equations. Режим доступа: по договору с организацией-держателем ресурса |
| Idioma: | inglês |
| Publicado em: |
2014
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| Assuntos: | |
| Acesso em linha: | https://doi.org/10.1016/j.cnsns.2013.06.015 |
| Formato: | MixedMaterials Recurso Electrónico Capítulo de Livro |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=661582 |
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| 200 | 1 | |a Conservation laws for two-phase filtration models |f V. A. Baikov [et al.] | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: 6 tit.] | ||
| 330 | |a The paper is devoted to investigation of group properties of a one-dimensional model of two-phase filtration in porous medium. Along with the general model, some of its particular cases widely used in oil-field development are discussed. The Buckley–Leverett model is considered in detail as a particular case of the one-dimensional filtration model. This model is constructed under the assumption that filtration is one-dimensional and horizontally directed, the porous medium is homogeneous and incompressible, the filtering fluids are also incompressible. The model of “chromatic fluid” filtration is also investigated. New conservation laws and particular solutions are constructed using symmetries and nonlinear self-adjointness of the system of equations. | ||
| 333 | |a Режим доступа: по договору с организацией-держателем ресурса | ||
| 461 | |t Communications in Nonlinear Science and Numerical Simulation | ||
| 463 | |t Vol. 19, iss. 2 |v [P. 383-389] |d 2014 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 610 | 1 | |a lie group analysis of differential equations | |
| 610 | 1 | |a filtration equations | |
| 610 | 1 | |a two-phase filtration | |
| 610 | 1 | |a nonlinear self-adjointness | |
| 610 | 1 | |a symmetries | |
| 610 | 1 | |a conservation laws | |
| 610 | 1 | |a дифференциальные уравнения | |
| 610 | 1 | |a уравнения фильтрации | |
| 610 | 1 | |a двухфазная фильтрация | |
| 610 | 1 | |a самосопряженность | |
| 610 | 1 | |a симметрии | |
| 610 | 1 | |a законы сохранения | |
| 701 | 1 | |a Baikov |b V. A. |g Vitaly | |
| 701 | 1 | |a Ibragimov |b N. Kh. |g Nail | |
| 701 | 1 | |a Zheltova |b I. S. | |
| 701 | 1 | |a Yakovlev |b A. A. |c specialist in the field of petroleum engineering |c First Vice-Rector, Associate Professor of Tomsk Polytechnic University, Doctor of physical and mathematical sciences |f 1981- |g Andrey Alexandrovich |3 (RuTPU)RU\TPU\pers\45819 | |
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| 856 | 4 | |u https://doi.org/10.1016/j.cnsns.2013.06.015 | |
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