Fluid Dynamics

, Volume 10, Issue 3, pp 434–441 | Cite as

New method for solving the one-dimensional problem of the displacement of petroleum by water taking account of capillary forces

  • N. B. Zubov
  • G. P. Tsybul'skii
Article
  • 39 Downloads

Abstract

The article describes a method for the solution of the one-dimensional problem of the displacement of petroleum by water taking account of capillary forces; on the basis of the method, in the equations of two-phase filtration it is proposed to use a new, soughtfor function, i.e., the fraction of water in the total flow of liquid. As a result, the problem is simplified, the labor consumption of the calculations is reduced, and it becomes possible to make a qualitative evaluation of the behavior of the solutions, including the analytical justification of a solution with a “stabilized zone.”

Keywords

Filtration Petroleum Capillary Force Total Flow Qualitative Evaluation 

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Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • N. B. Zubov
    • 1
  • G. P. Tsybul'skii
    • 1
  1. 1.Krasnodar

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