Water viscosity

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Water viscosity

The formation water (brine) isothermal viscosity correlation is published by McCain in 1991[1].

Water viscosity [2]

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

Nomenclature

 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

See also

Water solids concentration

References

  1. 1.0 1.1 1.2 1.3 1.4 McCain, W.D. Jr. (1991). "Reservoir-Fluid Property Correlations-State of the Art"Free registration required. Society of Petroleum Engineers (SPE-18571-PA). 
  2. McCain, W.D. Jr. (1990). Properties of Petroleum Fluids (2 ed.). Oklahoma: PennWell Corp. ISBN 978-0878143351.