Coalescence of oil drops on the skeleton of a porous medium in filtering a water-oil mixture

  • V. I. Pen'kovskii
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Abstract

Two mathematical models of filtration coalescence of oil drops when a water-oil mixture moves through a porous material are proposed. In the first model, coalescence is interpreted as the process of sorption, i.e., the accumulation of the oil phase on the pore surface up to a definite critical value above which the larger drops involved by a filtration flow stall. The second model assumes that the motion of the sorbed oil and the entire mixture obeys the generalized Darcy laws.

Keywords

Porous Medium Relative Phase Permeability Input Cross Section Couple Film Filtration Dispersion 

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References

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    Development of Filtration Theory in the USSR (1917–1967) [in Russian], Nauka, Moscow (1969).Google Scholar
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    V. G. Levich, V. S. Markin, and Yu. A. Chizmadzhiev, “A study of the longitudinal hydrodynamic mixing in porous media with stagnation zones using a harmonic analysis,”Dokl. Akad. Nauk SSSR,168, No. 6, 1902–1904 (1966).Google Scholar
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    R. E. Collins,Flow of Fluids through Porous Materials, Reinhold, New York (1961).Google Scholar

Copyright information

© Kluwer Academic/Plenum Publishers 1999

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  • V. I. Pen'kovskii

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