# Water viscosity

## Water viscosity

Water viscosity correlation in the PVT software at pengtools.com

## Math and Physics

$\mu_{w1} = AT^{-B}$[1]

where

$A = 109.574 - 8.40564 C_W + 0.313314 C_W^2 + 0.00872213 C_W^3$[1]
$B = -1.12166 + 2.63951(10^{-2}) C_W - 6.79461(10^{-4}) C_W^2 - 5.47119(10^{-5}) C_W^3 + 1.55586(10^{-6}) C_W^4$[1]
$\mu_{w} = \mu_{w1} (0.9994 + 4.0295(10^{-5})\ P + 3.1062(10^{-9})\ P^2)$[1]

## Example. Calculating water viscosity

### Input data

$C_{mg/l} = 74289.3$
$SG_w = 1.0476$

Calculate water viscosity at 3176 psia and 165°F?

### Solution

$C_W = 74289.3 / 1.0476 / 10000 = 7.1%$
$A=68.83262779$
$B=0.984227021$
$\mu_{w1} = 0.45$
$\mu_w = \mu_{w1} 1.1587 = 0.52 cP$

The solution is also available in the PVT software model at [The solution is available in the PVT calculator software model at www.pengtools.com

## Nomenclature

$A, B$ = coefficients
$C_{mg/l}$ = pressure correction, res bbl/STB
$C_W$ = water salinity or weight percent solids, %
$P$ = pressure, psia
$T$ = Temperature, °F
$\mu_w$ = water viscosity, cP
$\mu_{w1}$ = water viscosity at 1 atm, cP