Difference between revisions of "Water compressibility"

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The formation water (brine) isothermal compressibility data is published in '''1990''' by '''McCain'''<ref name= M1990/>.
 
The formation water (brine) isothermal compressibility data is published in '''1990''' by '''McCain'''<ref name= M1990/>.
  
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[[File:Water compressibility data.png|thumb|right|600px|Water compressibility data <ref name= M1990/>]]
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[[File:Water compressibility data.png|thumb|right|400px|Water compressibility data <ref name= M1990/>]]
  
 
==Math and Physics==
 
==Math and Physics==
  
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:<math> B_w = (1+\Delta V_{wP})(1+\Delta V_{wT})</math><ref name= M1990/>
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At pressures above bubble point:
  
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where
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:<math> c_w = 1 / (7.033 P + 0.5415 C_{mg/l} - 537 T + 403300) </math><ref name= M1991/>
  
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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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== Application range ==
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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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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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== Application range ==
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== Discussion ==
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The correlation is valid through the full range of solids concentrations, temperatures to 260F, and pressures to 5000psia<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 formation volume factor==
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==Example. Calculating water isothermal compressibility==
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[[File:Water compressibility.png|thumb|right|400px|Water compressibility correlation in the PVT software at pengtools.com]]
 
Example source <ref name= M1990/>
 
Example source <ref name= M1990/>
 
===Input data===
 
===Input data===
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:<math> C_{mg/l} =  74289.3</math>
  
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Calculate water formation volume factor at 3176 psia and 165°F?
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Calculate water isothermal compressibility at 3500 psia and 165°F?
  
 
===Solution===
 
===Solution===
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:<math> \Delta V_{wP} = -0.0047241</math>
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:<math> c_w = 2.6348E-6\ psia^{-1}</math>
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:<math> \Delta V_{wT} = 0.027</math>
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:<math> B_w = 1.022</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> B_w </math> = water formation volume factor, res bbl/STB
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:<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
 
:<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> \Delta V_{wP} </math> = pressure correction, res bbl/STB
 
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:<math> \Delta V_{wT} </math> = temperature correction, res bbl/STB
 
  
 
==See also==
 
==See also==
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:[[Water bubble point pressure]]<BR/>
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:[[Water compressibility]]<BR/>
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:[[Water density]]<BR/>
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:[[Water formation volume factor]]<BR/>
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:[[Water salinity from density equation]]<BR/>
 
:[[Water solids concentration]]<BR/>
 
:[[Water solids concentration]]<BR/>
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:[[Water viscosity]]<BR/>
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:[[Gas/Water Interfacial Tension]]
 
== References ==
 
== References ==
 
<references>
 
<references>
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|titlemode= replace
 
|titlemode= replace
 
|keywords=Water salinity, TDS, brine salinity, formation water salinity, Water compressibility
 
|keywords=Water salinity, TDS, brine salinity, formation water salinity, Water compressibility
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|description=TWater compressibility
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|description=The formation water (brine) isothermal compressibility data is published in 1990 by McCain
 
}}
 
}}
  
 
[[Category:PVT]]
 
[[Category:PVT]]
 
[[Category:pengtools]]
 
[[Category:pengtools]]

Latest revision as of 08:15, 5 October 2020

Water compressibility

The formation water (brine) isothermal compressibility data is published in 1990 by McCain[1].

Water compressibility data [1]

Math and Physics

At pressures above bubble point:

c_w = 1 / (7.033 P + 0.5415 C_{mg/l} - 537 T + 403300) [2]

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[2].

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

Water compressibility correlation in the PVT software at pengtools.com

Example source [1]

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}

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

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 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. ↑ 2.0 2.1 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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