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(1) \mu_w(T, p) = 0.001 \cdot \mu_{w0}(T, p) \cdot \mu_r(T, m)
(2) \ln \mu_{w0}(T, p) = \sum_{n = 1}^5 \, d_n \cdot T^{n-3} + \rho_w(T, p) \cdot \sum_{n = 6}^{10} \, d_n \, T^{n-8}
(3) \ln \mu_r(T, m) = A \cdot m + B \cdot m^2 + C \cdot m^3
(4) A = a_0 + a_1 \, T + a_2 \, T^2



(5) B = b_0 + b_1 \, T + b_2 \, T^2
(6) C = c_0 + c_1 \, T
(7) m = \frac{1,000 \cdot S}{M_{\mbox{NaCl}} \cdot (1-S)}


where

\mu_w(T, p) 

Dynamic viscosity  at temperature T and pressure p

\mu_r(T, m)

Correction factor for salinity m (in g-mol/kg), frac

\rho_w(T, p)


Pure (Salinity = 0) water density  at temperature T and pressure p

T 

°K 

Temperature

p 

Pressure

S

Water salinity

m

Salinity in salt concentration units

M_{\small \mbox{NaCl}}

Molecular weight of NaCl = 58.4428 · 10^{-3} kg/mol

and

d_1 

0.28853179 · 10^7

a_0

-0.21319213

d_2

-0.11072577 · 10^5

a_1

0.13651589 · 10^{-2}

d_3

-0.90834095 · 10^1

a_2

-0.12191756 · 10^{-5}

d_4

0.30925651 · 10^{-1}



d_5

-0.27407100 · 10^{-4}

b_0

0.69161945 · 10^{-1}

d_6

-0.19283851 · 10^7

b_1

-0.27292263 · 10^{-3}

d_7

0.56216046 · 10^4

b_2

0.20852448 · 10^{-6}

d_8

0.13827250 · 10^2



d_9

0.47609523 · 10^{-1}

c_0

-0.25988855 · 10^{-2}

d_{10}

0.35545041 · 10^{-4}

c_1

0.77989227 · 10^{-5}

See Also


Petroleum Industry / Upstream / Petroleum Engineering / Subsurface E&P Disciplines / Reservoir Engineering (RE) / PVT correlations / PVT Water correlations / Water viscosity correlations









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