Conservation laws for two-phase filtration models; Communications in Nonlinear Science and Numerical Simulation; Vol. 19, iss. 2

Bibliografiske detaljer
Parent link:Communications in Nonlinear Science and Numerical Simulation
Vol. 19, iss. 2.— 2014.— [P. 383-389]
Andre forfattere: Baikov V. A. Vitaly, Ibragimov N. Kh. Nail, Zheltova I. S., Yakovlev A. A. Andrey Alexandrovich
Summary: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
Sprog:engelsk
Udgivet: 2014
Fag:
Online adgang:https://doi.org/10.1016/j.cnsns.2013.06.015
Format: Electronisk Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=661582