Difference between revisions of "Water formation volume factor"

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The units are reservoir barrels per surface barrel at standard conditions, res bbl/STB.
 
The units are reservoir barrels per surface barrel at standard conditions, res bbl/STB.
  
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[[File:Water formation volume factor.png|thumb|right|600px|Water formation volume factor]]
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[[File:Water formation volume factor.png|thumb|right|400px|Water formation volume factor correlation in the PVT software at pengtools.com]]
  
 
==Math and Physics==
 
==Math and Physics==
  
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:<math> B_w = (1+\delta V_{wp})(1+\delta V_{wT}</math>
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:<math> B_w = (1+\Delta V_{wP})(1+\Delta V_{wT})</math><ref name= M1990/>
  
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==Example. Calculating water salinity from density==
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where
 +
 
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:<math> \Delta V_{wP} = -1.95301(10^{-9}) P T - 1.72834(10^{-13}) P^2 T - 3.58922(10^{-7}) P - 2.25341(10^{-10}) P^2</math>
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:<math> \Delta V_{wT} = -1.0001(10^{-2}) + 1.33391(10^{-4}) T  + 5.50654(10^{-7}) T^2</math>
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 +
== Application range ==
 +
The correlation is valid through the full range of solids concentrations, temperatures to 260F, and pressures to 5000psia<ref name= M1991/>.
 +
 
 +
==Example. Calculating water formation volume factor==
 
Example source <ref name= M1990/>
 
Example source <ref name= M1990/>
 
===Input data===
 
===Input data===
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:<math>\rho_w</math> = 65.4 lbm/ft3
 
  
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Calculate water salinity in weight percent solids?
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Calculate water formation volume factor at 3176 psia and 165°F?
  
 
===Solution===
 
===Solution===
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:<math> SG_w = \rho_w/62.428=1.0476</math>
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:<math> \Delta V_{wP} = -0.0047241</math>
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:<math> C_{mg/l} = 25000 (1.0476 - 1) 62.428 = 74289.32 </math>
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:<math> \Delta V_{wT} = 0.027</math>
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:<math> C_{ppm} = 74289.32 / 1.0476 = 70913.8</math>
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:<math> B_w = 1.022</math>
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:<math> C_W = 70913.8 / 10000 = 7.1 %</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  ==
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:<math> C_{ppm} </math> = water salinity / solids concentration, ppm
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:<math> B_w </math> = water formation volume factor, res bbl/STB
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:<math> C_{mg/l} </math> = water salinity / solids concentration, mg/l
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:<math> P </math> = pressure, psia
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:<math> C_W </math> = weight percent solids, %
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:<math> T </math> = Temperature, °F
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:<math> SG_w </math> = water specific gravity, dimensionless
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:<math> \Delta V_{wP} </math> = pressure correction, res bbl/STB
 +
:<math> \Delta V_{wT} </math> = temperature correction, res bbl/STB
  
 
==See also==
 
==See also==
 +
:[[Water bubble point pressure]]<BR/>
 +
:[[Water compressibility]]<BR/>
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:[[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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  |ISBN=978-0878143351
 
  |ISBN=978-0878143351
 
}}</ref>
 
}}</ref>
 +
<ref name=M1991>{{cite journal
 +
|last1=McCain|first1=W.D. Jr.
 +
|title=Reservoir-Fluid Property Correlations-State of the Art
 +
|journal=Society of Petroleum Engineers
 +
|number=SPE-18571-PA
 +
|date=1991
 +
|url=https://www.onepetro.org/journal-paper/SPE-18571-PA
 +
|url-access=registration
 +
}}</ref>
 +
 
}}</ref>
 
}}</ref>
  

Latest revision as of 08:16, 5 October 2020

Water formation volume factor

The water formation volume factor represents the change in volume of the brine as it is transported from the reservoir conditions to surface conditions[1].

The units are reservoir barrels per surface barrel at standard conditions, res bbl/STB.

Water formation volume factor correlation in the PVT software at pengtools.com

Math and Physics

B_w = (1+\Delta V_{wP})(1+\Delta V_{wT})[1]

where

\Delta V_{wP} = -1.95301(10^{-9}) P T - 1.72834(10^{-13}) P^2 T - 3.58922(10^{-7}) P - 2.25341(10^{-10}) P^2
\Delta V_{wT} = -1.0001(10^{-2}) + 1.33391(10^{-4}) T + 5.50654(10^{-7}) T^2

Application range

The correlation is valid through the full range of solids concentrations, temperatures to 260F, and pressures to 5000psia[2].

Example. Calculating water formation volume factor

Example source [1]

Input data

Calculate water formation volume factor at 3176 psia and 165°F?

Solution

\Delta V_{wP} = -0.0047241
\Delta V_{wT} = 0.027
B_w = 1.022

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

B_w = water formation volume factor, res bbl/STB
P = pressure, psia
T = Temperature, °F
\Delta V_{wP} = pressure correction, res bbl/STB
\Delta V_{wT} = temperature correction, res bbl/STB

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 McCain, W.D. Jr. (1990). Properties of Petroleum Fluids (2 ed.). Oklahoma: PennWell Corp. ISBN 978-0878143351. 
  2. ↑ 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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