Difference between revisions of "Water viscosity"

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(Math and Physics)
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:<math> A = 109.574 - 8.40564 C_W + 0.313314 C_W^2 + 0.00872213 C_W^3 </math><ref name= M1991/>
 
:<math> A = 109.574 - 8.40564 C_W + 0.313314 C_W^2 + 0.00872213 C_W^3 </math><ref name= M1991/>
:<math> B = -1.12166 + 0.0263951 C_W - 0.000679461 C_W^2 - 5.47119e-5 C_W^3 + 1.55586e-6 C_W^4</math><ref name= M1991/>
+
:<math> B = -1.12166 + 2.63951(10^-2) C_W - 0.000679461 C_W^2 - 5.47119e-5 C_W^3 + 1.55586e-6 C_W^4</math><ref name= M1991/>
  
 
:<math> \mu_{w} = \mu_{w1} (0.9994 + 4.0295e-5\ P + 3.1062e-9\ P^2</math><ref name= M1991/>
 
:<math> \mu_{w} = \mu_{w1} (0.9994 + 4.0295e-5\ P + 3.1062e-9\ P^2</math><ref name= M1991/>

Revision as of 06:20, 2 October 2020

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 - 0.000679461 C_W^2 - 5.47119e-5 C_W^3 + 1.55586e-6 C_W^4[1]
 \mu_{w} = \mu_{w1} (0.9994 + 4.0295e-5\ P + 3.1062e-9\ P^2[1]

Application range

The correlation is valid only for temperatures between 200 and 270F, pressures of 1000 to 20000 psia, and salinities up to 200000 mg/l[1].

Discussion

We, at pengtools.com, are calculating water compressibility below the bubble point with the same equation at the moment.

Example. Calculating water isothermal compressibility

Example source [2]

Input data

 C_{mg/l} =  74289.3

Calculate water isothermal compressibility at 3500 psia and 165°F?

Solution

 c_w = 2.6348E-6\ psia^{-1}

Nomenclature

 C_{mg/l} = pressure correction, res bbl/STB
 C_{mg/l} = water salinity or solids concentration, mg/l
 P = pressure, psia
 T = Temperature, °F

See also

Water solids concentration

References

  1. 1.0 1.1 1.2 1.3 1.4 1.5 McCain, W.D. Jr. (1991). "Reservoir-Fluid Property Correlations-State of the Art"Free registration required. Society of Petroleum Engineers (SPE-18571-PA). 
  2. 2.0 2.1 McCain, W.D. Jr. (1990). Properties of Petroleum Fluids (2 ed.). Oklahoma: PennWell Corp. ISBN 978-0878143351.