Modeling secondary migration of oil currently is difficult because the phys
ics governing the movement is complex and information on heterogeneity of c
arrier beds is always incomplete. To better understand the basic physical p
rocess of secondary migration, we discuss displacement patterns based on re
lative magnitudes among buoyancy, interfacial, and viscous forces using the
results of one-dimensional vertical oil-water displacement experiments. Oi
l was injected at a constant rate from the lower inlet of a glass tube pack
ed with sorted glass beads. The injection pressure and oil outflow rate wer
e measured while we observed the displacement pattern. Runs were done using
different grain sizes and injection rates.
Two displacement patterns were recognized during the experiments: type A co
nsisted of stable, pistonlike displacement and type B consisted of capillar
y fingering. The difference coincided with the relative magnitudes of the d
riving forces, which can be characterized by the dimensionless modified Bon
d (Bo') and Capillary (Cn) numbers. Type A pattern was produced for high Ca
/Bo' ratios and type B pattern for low Ca/Bo' ratios. A flow regime diagram
showing the regions of the two displacement patterns was constructed in Ca
/Bo' space, including the effects of gravity. Our results also showed that
excess pressure for the nonwetting phase fluid to intrude into a porous med
ium was rate dependent.