D. Jasnow et C. Yeung, ASYMPTOTIC-BEHAVIOR OF VISCOUS-FINGERING PATTERNS IN CIRCULAR GEOMETRY, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 47(2), 1993, pp. 1087-1093
An examination of the scaling structure along with some extensive simu
lations on viscous fingering in circular geometry strongly suggest tha
t the asymptotic patterns are compact. Experiments and simulations are
in a transient regime that may exhibit a reasonable range where appar
ent fractal growth may be found. Arguments to connect the case of visc
ous fingering with that of vanishing surface tension are made.