Difference between revisions of "Water viscosity"

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__TOC__
 
__TOC__
 
==Water viscosity==
 
==Water viscosity==
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The formation water (brine) isothermal viscosity correlation is published by '''McCain''' in '''1991'''<ref name= M1991/>.
 
  
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[[File:Water viscosity.png|thumb|right|400px|Water viscosity <ref name= M1990/>]]
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[[Water viscosity]] correlation is published by '''McCain''' in '''1991'''<ref name= M1991/>.
 +
 
 +
[[File:Water viscosity.png|thumb|right|400px|Water viscosity correlation in the PVT software at pengtools.com]]
  
 
==Math and Physics==
 
==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/>
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:<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/>
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:<math> 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</math><ref name= M1991/>
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:<math> \mu_{w} = \mu_{w1} (0.9994 + 4.0295e-5\ P + 3.1062e-9\ P^2</math><ref name= M1991/>
 
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== Application range ==
 
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The correlation is valid only for temperatures between 200 and 270F, pressures of 1000 to 20000 psia, and salinities up to  200000 mg/l<ref name= M1991/>.
 
  
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== Discussion ==
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:<math> \mu_{w} = \mu_{w1} (0.9994 + 4.0295(10^{-5})\ P + 3.1062(10^{-9})\ P^2)</math><ref name= M1991/>
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We, at pengtools.com, are calculating water compressibility below the bubble point with the same equation at the moment.
 
  
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==Example. Calculating water isothermal compressibility==
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==Example. Calculating water viscosity ==
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Example source <ref name= M1990/>
 
 
===Input data===
 
===Input data===
 
:<math> C_{mg/l} =  74289.3</math>
 
:<math> C_{mg/l} =  74289.3</math>
 +
:<math> SG_w =  1.0476</math>
  
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Calculate water isothermal compressibility at 3500 psia and 165°F?
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Calculate water viscosity at 3176 psia and 165°F?
  
 
===Solution===
 
===Solution===
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:<math> c_w = 2.6348E-6\ psia^{-1}</math>
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:<math> C_W = 74289.3 / 1.0476 / 10000 = 7.1%</math>
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:<math> A=68.83262779</math>
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:<math> B=0.984227021</math>
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:<math> \mu_{w1} = 0.45</math>
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:<math> \mu_w = \mu_{w1} 1.1587 = 0.52 cP</math>
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 +
The solution is also available in the PVT software model at [The solution is available in the PVT calculator software model at [https://www.pengtools.com/pvtCalculator?paramsToken=d0f0c9c587152cefc27d1217e091ace0 www.pengtools.com]
  
 
== Nomenclature  ==
 
== Nomenclature  ==
 +
:<math> A, B </math> = coefficients
 
:<math> C_{mg/l} </math> = pressure correction, res bbl/STB
 
:<math> C_{mg/l} </math> = pressure correction, res bbl/STB
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:<math> C_{mg/l} </math> = water salinity or solids concentration, mg/l
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:<math> C_W </math> = water salinity or weight percent solids, %
 
:<math> P </math> = pressure, psia
 
:<math> P </math> = pressure, psia
 
:<math> T </math> = Temperature, °F
 
:<math> T </math> = Temperature, °F
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:<math> \mu_w </math> = water viscosity, cP
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:<math> \mu_{w1} </math> = water viscosity at 1 atm, cP
  
 
==See also==
 
==See also==
 +
:[[Water bubble point pressure]]<BR/>
 +
:[[Water compressibility]]<BR/>
 +
:[[Water density]]<BR/>
 +
:[[Water formation volume factor]]<BR/>
 +
:[[Water salinity from density equation]]<BR/>
 
:[[Water solids concentration]]<BR/>
 
:[[Water solids concentration]]<BR/>
−
 
+
:[[Water viscosity]]<BR/>
 +
:[[Gas/Water Interfacial Tension]]
 
== References ==
 
== References ==
 
<references>
 
<references>
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<ref name=M1990>{{cite book
 
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|last1=McCain|first1=W.D. Jr.
 
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|title=Properties of Petroleum Fluids
 
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|edition=2
 
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|date=1990
 
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|publisher=PennWell Corp.
 
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|place=Oklahoma
 
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|url=http://www.pennwellbooks.com/petroleum/oil-gas-production/the-properties-of-petroleum-fluids-2nd-edition/
 
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|ISBN=978-0878143351
 
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}}</ref>
 
 
<ref name=M1991>{{cite journal
 
<ref name=M1991>{{cite journal
 
  |last1=McCain|first1=W.D. Jr.
 
  |last1=McCain|first1=W.D. Jr.
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|titlemode= replace
 
|titlemode= replace
 
|keywords=Water salinity, TDS, brine salinity, formation water salinity, Water viscosity
 
|keywords=Water salinity, TDS, brine salinity, formation water salinity, Water viscosity
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|description=Water viscosity
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|description=Water viscosity correlation is published by McCain in 1991
 
}}
 
}}
  
 
[[Category:PVT]]
 
[[Category:PVT]]
 
[[Category:pengtools]]
 
[[Category:pengtools]]

Latest revision as of 08:17, 5 October 2020

Water viscosity

Water viscosity correlation is published by McCain in 1991[1].

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

See also

Water bubble point pressure
Water compressibility
Water density
Water formation volume factor
Water salinity from density equation
Water solids concentration
Water viscosity
Gas/Water Interfacial Tension

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). 
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