Showing papers on "Viscous fingering published in 1965"
TL;DR: In this paper, a simplified theory of viscous fingering in miscible systems has been developed, both theoretically and experimentally, for 2-dimensional linear and diverging radial systems, and two limiting conditions are recognized.
Abstract: A simplified theory of viscous fingering in miscible systems has been developed. Fingering is studied in 2-dimensional linear and diverging radial systems, both theoretically and experimentally. For linear systems, the length of the fingered region is proportional to mean displacement; the finger width is proportional to square root of mean displacement; and there is a small initial region void of fingers because of suppression by longitudinal dispersion. For the radial system, 2 limiting conditions are recognized. If the mean displacement is small compared with the well-bore radius, the length of the fingered region is proportional to the mean displacement. If the mean displacement is large compared with the well-bore radius, length of the fingered region is proportional to mean displacement, but the number of fingers approaches a constant value. Also, in the radial case there is a small initial region void of fingers because of longitudinal dispersions. (26 refs.)
66 citations