Four dense nonaqueous phase liquids (DNAPLs)-bromoform, chlorobenzene,
tetrachloroethylene, and trichloroethylene-were used to investigate t
he influence of viscous, gravitational, and capillary forces on DNAPL
saturation in a natural aquifer sand. The relative magnitudes of these
forces are expressed in terms of two dimensionless groups, the Capill
ary Number (N-Ca), defined as the ratio of the viscous force to capill
ary force, and the Bond Number (N-Bo), defined as the ratio of the gra
vitational force to capillary force. Nondimensionalization of the equa
tions governing two-phase flow suggests that DNAPL saturation should b
e a function of a linear combination of the Capillary and Bond Numbers
(N-Ca/k(IV) - N-Bo), provided the permeability to water (k(IV)) in th
e presence of discontinuous DNAPL is considered. Experimental studies
in which DNAPL saturations were measured over a range of Capillary and
Bond Numbers for upward, horizontal, and downward displacement of DNA
PL by water corroborate the results of the nondimensionlization. DNAPL
saturations generally decreased with increasing Capillary Number and
with decreasing Bond Number until N-Ca/k(IV) - N-Bo was greater than a
pproximately 1 x 10(-5), at which point residual saturation was attain
ed. For the DNAPLs used in this study, with adhesion tensions on the o
rder of 26 dynes/cm and Bond Numbers ranging from 1.3 x 10(-7) to 2.4
x 10(-6), residual saturation was attained at Capillary Numbers greate
r than approximately 5 x 10(-5). These results provide a means of esti
mating the system conditions under which the DNAPLs studied achieve re
sidual saturation in aquifer material.