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μw Water Viscosity Mao-Duan Correlation @model

Created by Arthur Aslanyan (Nafta College), last modified on Jan 29, 2022

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(1)	$\begin{array}{l}\displaystyle \mu_w(T, p) = \mu_{w0}(T, p) \cdot \mu_r(T, m)\end{array}$

(2)	$\begin{array}{l}\displaystyle \ln \mu_{w0}(T, p) = \sum_{n = 1}^5 \, d_n \cdot T^{n-3} + \rho_w(T, p) \cdot \sum_{n = 6}^{10} \, d_n \, T^{n-8}\end{array}$

(3)	$\begin{array}{l}\displaystyle \ln \mu_r(T, m) = A \cdot m + B \cdot m^2 + C \cdot m^3\end{array}$

(4)	$\begin{array}{l}\displaystyle A = a_0 + a_1 \, T + a_2 \, T^2\end{array}$

(5)	$\begin{array}{l}\displaystyle B = b_0 + b_1 \, T + b_2 \, T^2\end{array}$

(6)	$\begin{array}{l}\displaystyle C = c_0 + c_1 \, T\end{array}$

(7)	$\begin{array}{l}\displaystyle m = \frac{1,000 \cdot S}{M_{\mbox{NaCl}} \cdot (1-S)}\end{array}$

where

$\begin{array}{l}\mu_w\end{array}$	Dynamic viscosity, cp at temperature $\begin{array}{l}T\end{array}$ and pressure $\begin{array}{l}p\end{array}$
$\begin{array}{l}\rho_w\end{array}$	Pure water density (at Salinity = 0)
$\begin{array}{l}T\end{array}$	Temperature, °F
$\begin{array}{l}p\end{array}$	Pressure, psi
$\begin{array}{l}S\end{array}$	Water salinity, frac
$\begin{array}{l}m\end{array}$	Salt concentration, g-mol/kg

and

$\begin{array}{l}d_1\end{array}$	$\begin{array}{l}0.28853179 · 10^7\end{array}$	$\begin{array}{l}a_0\end{array}$	$\begin{array}{l}-0.21319213\end{array}$
$\begin{array}{l}d_2\end{array}$	$\begin{array}{l}-0.11072577 · 10^5\end{array}$	$\begin{array}{l}a_1\end{array}$	$\begin{array}{l}0.13651589 · 10^{-2}\end{array}$
$\begin{array}{l}d_3\end{array}$	$\begin{array}{l}-0.90834095 · 10^1\end{array}$	$\begin{array}{l}a_2\end{array}$	$\begin{array}{l}0.12191756 · 10^{-5}\end{array}$
$\begin{array}{l}d_4\end{array}$	$\begin{array}{l}0.30925651 · 10^{-1}\end{array}$
$\begin{array}{l}d_5\end{array}$	$\begin{array}{l}-0.27407100 · 10^{-4}\end{array}$	$\begin{array}{l}b_0\end{array}$	$\begin{array}{l}0.69161945 · 10^{-1}\end{array}$
$\begin{array}{l}d_6\end{array}$	$\begin{array}{l}-0.19283851 · 10^7\end{array}$	$\begin{array}{l}b_1\end{array}$	$\begin{array}{l}-0.27292263 · 10^{-3}\end{array}$
$\begin{array}{l}d_7\end{array}$	$\begin{array}{l}0.56216046 · 10^4\end{array}$	$\begin{array}{l}b_2\end{array}$	$\begin{array}{l}0.20852448 · 10^{-6}\end{array}$
$\begin{array}{l}d_8\end{array}$	$\begin{array}{l}0.13827250 · 10^2\end{array}$
$\begin{array}{l}d_9\end{array}$	$\begin{array}{l}0.47609523 · 10^{-1}\end{array}$	$\begin{array}{l}c_0\end{array}$	$\begin{array}{l}-0.25988855 · 10^{-2}\end{array}$
$\begin{array}{l}d_{10}\end{array}$	$\begin{array}{l}0.35545041 · 10^{-4}\end{array}$	$\begin{array}{l}c_1\end{array}$	$\begin{array}{l}0.77989227 · 10^{-5}\end{array}$

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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