Environmental Engineering Reference
In-Depth Information
0.1
0.099
0.098
0.097
0.096
0.095
0.094
0.093
0.092
0.091
0.09
Sai 1=0 mV
Sai 1= -25 mV
Sai 1= -50 mV
0
0.1
0.2
0.3
0.4
Velocity of water (mm/sec)
Figure 5.10
Velocity profile across the capillary for variable wall interface potentials
Table 5-3
Properties of the two lu
ids used in the parametric study
Parameter
unit
value
Oil
Dynamic viscosity of oil (μ
o
)
pas-sec
38.7 x 10
-3
Vacuum permittivity (
e
)
Faraday/m
8.854 x 10
-12
F/m
Permittivity of oil (
e
o)
~3
e
Formation water
Element charge (e)
C
1.6 x 10
-19
Boltzman constant (
K
B
)
J/K˚
1.38 x 10
-23
Dynamic viscosity of water (μ
w
)
pas-sec
10
-3
F/m
Permittivity (
e
w
)
~87
e
Working temperature (
T
)
K˚
293
Ionic concentration (
n
)
M
1 x 10
-6
radius of 0.1mm and S
w
= 0.2 for three different cases where the wall inter-
face potential varied from zero to -50 mV. As observed in figure 5.10, the
velocity of water in the capillary increases with the interfacial potential.
The properties of the two fluids used in the analytical evaluation of
k
er,ow
coefficient are listed in table 5.3. From equations 5.80 and 5.81, it can be
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