80
X
Xl
.
X
y.
Y
f3
!It
~tl
~
(J
Pn
tPb
H. Rubin et al.
comparative treatment time
comparative treatment volume
number of time step
permeable section flow rate, L2Tl
flow rate of a single fracture segment, L2Tl
total flow rate of a single section, L2Tl
specific discharge of the permeable block flow, LTI
specific discharge imposed by the fracture presence, LTI
saturation of entrapped NAPL
initial value of Sn
average value of Sn in the cross section
water saturation
reclamation time period, T
dimensionless time
dimensionless time measured at moving coordinates
dimensionless treatment time
time, T
interstitial flow velocity in the permeable block, LTI
volume of treated water, L3
dimensionless longitudinal coordinate
moving dimensionless longitudinal coordinate
longitudinal coordinate, L
dimensionless vertical coordinate
vertical coordinate, L
integer number
dimensionless time step
dimensionless time step at moving coordinates
dimensionless length interval
orientation angle of fracture segment
density ofNAPL, Mr 3
porosity of the porous block
References
Abriola LM, Dekker TJ, Pennel KD (1993) Surfactant-enhanced solubilization of residual
dodecane in soil columns: 2 Mathematical modeling. Environ Sci TechnoI27(12):23412351
Abriola LM, Pennel KD, Pope GA, Dekker TJ, Luning-Prak DJ (1995) Impact of surfactant
flushing on the solubilization and mobilization of dense nonaqueous-phase liquids. IN:
Sabatini DA et al. (eds) Surfactant-enhanced subsurface remediation emerging
technologies. ACS Symp Ser 594. American Chemical Society, Washington, DC
Anderson MR, Johnson RL, Pankow IF (1992a) Dissolution of dense chlorinated solvents
into groundwater. 1. Dissolution from a well-defined source. Ground Water 30(2):250256