Stability of the displacement of immiscible visco-elastic liquids in a porous medium

I. M. Ametov, I. Sh Akhatov, V. A. Baikov

Research output: Contribution to journalArticlepeer-review

Abstract

The stability of the motion of the boundary between two visco-elastic liquids in a porous medium caused by the non-equilibrium of filtration fluxes is investigated. Two stages in the development of the instability are considered: the first is the development of small perturbations on the surface of the initially unperturbed displacement front and the second is the evolution of small perturbations on the surface s of "fingers" of displacing liquid extruded after the development of the first-stage instability. The theoretical analysis shows that the use of visco-elastic liquids for displacing oil from strata should increase the stability of the displacement process. In the case of visco-elastic liquids with relaxation along the pressure gradient the stability of the displacement is due to stabilization of the actual boundary between the liquids, whereas with relaxation along the flux it is achieved because of the instability of the "fingers" of displacing fluid.

Original languageEnglish
Pages (from-to)673-678
Number of pages6
JournalJournal of Applied Mathematics and Mechanics
Volume55
Issue number5
DOIs
Publication statusPublished - 1991
Externally publishedYes

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