Mathematical Modeling of Electrokinetic Transport and Enhanced Oil Recovery In Porous Geo-Media - Electrokinetics for Petroleum and Environmental Engineers - page 216

0.01

ψ 1 = 0
ψ 2 = -25 mV
S w = 0.8

0.008

0.006

Interface location ( ψ 1 = 0)

0.004

0.002

0

0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40

Velocity profile (mm/sec)

Figure 5.11 Velocity profile across the capillary (zero oil-water interface potential)

0.01

ψ 1 = -15 mV
ψ 2 = -25 mV
S w = 0.8

0.008

0.006

Interface location ( ψ 1 = -15 mV)

0.004

0.002

0

0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40

Velocity profile (mm/sec)

Figure 5.12 Velocity profile across the capillary (with -15 mV oil-water interface
potential)

Figure 5.13 shows the analytically evaluated k er,ow coefficient as a func-
tion of water saturation. As also observed in the case of experimentally
evaluated k er,ow coefficient (see figure 5.6), the coefficient increases with
increasing in water saturation initially, to slightly over 0.1 at 50% water
saturation. The coefficient decreases beyond the 50% saturation, because
of less oil available in the capillary to be produced.