Abstract
In problems of two-phase mixture flow through a porous medium in a subterranean stratum a boundary layer phenomenon arises caused by the fact that relative phase motion exists in the system, and so having no analogy with the single-phase case. The physical nature of boundary layer phenomena is explained, and an asymptotic solution is constructed for the self-similar problem with an arbitrary number of components in the system, by using the method of matched asymptotic forms. The conditions are established for the motions of a multicomponent and a binary mixture to be equivalent, and a study is made of the role of convective factors in the formation of averaged working indices for the stratum.
Similar content being viewed by others
Literature cited
M. D. Van Dyke, Perturbation Methods in Fluid Mechanics, New York (1964),
M. B. Panfilov, “Matching of asymptotic expansions in problems of gas-condensate mixture flow through a porous medium,” Inzh.-Fiz. Zh., No. 4, 608 (1983).
V. N. Nikolaevskii, “Calculations for processes of gas-condensate mixture flow through porous media,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4, 150 (1971).
R. C. Reid, J. M. Prausnitz, and T. K. Sherwood, The Properties of Gases and Liquids, McGraw-Hill, New York (1977).
G. S. Stepanova, Phase Transformations of Hydrocarbon Mixtures in Gas-Condensate Deposits [in Russian], Nedra, Moscow (1974).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 94–100, July–August, 1985.
Rights and permissions
About this article
Cite this article
Panfilov, M.B. Asymptotic form of the solution to the problem of multicomponent mixture flow through a porous medium with a boundary layer. Fluid Dyn 20, 574–580 (1985). https://doi.org/10.1007/BF01049892
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01049892