Difference between revisions of "Gas/Water Interfacial Tension"

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:<math> \sigma_{280} =53-0.1048P^{0.637}</math>
 
:<math> \sigma_{280} =53-0.1048P^{0.637}</math>
  
:<math> At\ T<68F,\  \sigma_{od}=\sigma_{68}</math>
+
:<math> At\ T<74F,\  \sigma_w=\sigma_{74}</math>
:<math> At\ 68F<T<100F,\  \sigma_{od}=\frac{\sigma_{68} + (T - 68) * (\sigma_{100} - \sigma_{68})}{ (100 - 68)}</math>
+
:<math> At\ 74F<T<280F,\  \sigma_w=\frac{\sigma_{74} + (T - 68) * (\sigma_{280} - \sigma_{74})}{ (280 - 74)}</math>
:<math>At\ T>100F,\ \sigma_{od}=\sigma_{100}</math>
+
:<math>At\ T>280F,\ \sigma_w=\sigma_{280}</math>
 
 
:<math> \sigma_{o}=\sigma_{od} \times (1-0.24P^{0.45})</math>
 
 
 
The interfacial tension becomes zero at miscibility pressure.  1 dyne/cm is used for calculations, then it becomes less than 1.
 
:<math> if (\sigma_{o}<1) \sigma_{o}=1</math>
 
  
 
== Nomenclature  ==
 
== Nomenclature  ==
 
:<math> P </math> = pressure, psia
 
:<math> P </math> = pressure, psia
:<math> \sigma_{o} </math> = gas/oil interfacial tension, dynes/cm
+
:<math> \sigma_w </math> = gas/water interfacial tension, dynes/cm
:<math> \sigma_{od} </math> = gas/oil interfacial tension for dead oil, dynes/cm
 
 
:<math> T </math> = temperature, °F
 
:<math> T </math> = temperature, °F
  

Revision as of 08:08, 5 October 2020

Gas/Water Interfacial Tension

Gas/Water Interfacial Tension correlation was published by Baker and Swerdloff in 1956.

File:Gas/Water Interfacial Tension.png
Gas/Water Interfacial Tension correlation in the PVT software at pengtools.com

Math and Physics

 \sigma_{74} =75 - 1.108P^{0.349}
 \sigma_{280} =53-0.1048P^{0.637}
 At\ T<74F,\  \sigma_w=\sigma_{74}
 At\ 74F<T<280F,\  \sigma_w=\frac{\sigma_{74} + (T - 68) * (\sigma_{280} - \sigma_{74})}{ (280 - 74)}
At\ T>280F,\ \sigma_w=\sigma_{280}

Nomenclature

 P = pressure, psia
 \sigma_w = gas/water interfacial tension, dynes/cm
 T = temperature, °F

References

Baker, O. and Swerdloff, W. 1955. Calculation of Surface Tension 3—Calculating parachor Values. Oil Gas J. (5 December 1955): 141. Baker, O. and Swerdloff, W. 1956. Calculation of Surface Tension 6—Finding Surface Tension of Hydrocarbon Liquids. Oil Gas J. (2 January 1956): 125.