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Flow in doublet. (English. Russian original) Zbl 0748.76044

Fluid Dyn. 26, No. 3, 465-470 (1991); translation from Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza 1991, No. 3, 177-181 (1991).
Analytic solutions of the capillary imbibition and drainage problem are obtained for a doublet — the simplest element of a porous medium in the form of two capillaries having a common beginning and end. The radii of the capillaries are assumed to be constant, the capillary pressure at the displacement front is determined by the Laplace law, and the fluid flow in the capillaries obeys the Poiseuille law.

MSC:

76D45 Capillarity (surface tension) for incompressible viscous fluids
76S05 Flows in porous media; filtration; seepage
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References:

[1] T. F. Moorev and R. L. Slobod, ?The effect of viscosity and capillarity on the displacement of oil by water,? Prod. Mon.,20, 20 (1956).
[2] W. Rose and P. A. Witherspoon, ?Trapping oil in a pore doublet,? Prod. Mon.,20, 32 (1956).
[3] I. Chatzis, N. Morrow, and H. Lim, ?Magnitude and detailed structure of residual oil saturation,? Soc. Pet. Eng. J.,23, 311 (1983).
[4] W. G. Landlaw and N. C. Wardlaw, ?The theoretical and experimental investigation of trapping in pore doublets,? Can J. Chem. Eng.,61, 719 (1983). · doi:10.1002/cjce.5450610515
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