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where
T
is the temperature in K,
μ
w
(
T
,
p
) is the viscosity of pure water in
Pa
·
s, and the coefficients
d
i
are given in table 4-14.
Next, calculate the viscosity of pure water,
μ
w
(
T
,
p
), in Pa
·
s, from
equation (4.42).
μ
w
(
T
,
p
) = EXP(ln
μ
w
(
T
,
p
)).
(4.42)
Step 3.
Calculate the relative viscosity of brine using the Mao-Duan
correlation. Calculate temperature-dependent salinity coefficients
A
,
B
,
and
C
from equations (4.43)-(4.45).
A
=
a
o
+
a
1
T
+
a
2
T
2
(4.43)
B
=
b
o
+
b
1
T
+
b
2
T
2
(4.44)
C
=
c
o
+
c
1
T
(4.45)
where
T
is the temperature in K, and the coefficients
a
i
,
b
i
, and
c
i
are given
in table 4-14.
Calculate the natural logarithm of the relative viscosity from
equation (4.46).
ln
μ
r
(
T
,
m
) =
Am
+
Bm
2
+
Cm
3
(4.46)
where
m
is the sodium chloride content in g-mol/kg H
2
O.
Calculate the relative viscosity of brine,
μ
r
(
T
,
m
), as shown in equation
(4.47).
μ
r
(
T
,
m
) = EXP(ln
μ
r
(
T
,
m
))
(4.47)
Step 4.
Calculate the brine viscosity, in Pa
·
s, from equation (4.48).
μ
b
(
T
,
p
,
m
) =
μ
r
(
T
,
m
)
μ
w
(
T
,
p
)
(4.48)
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