Difference between revisions of "Lee correlation"

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__TOC__
 
__TOC__
  
=== Lee gas viscosity correlation ===
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== Lee gas viscosity correlation ==
  
 
[[Lee correlation]] is the empirical correlation for the gas viscosity published in '''1966'''.
 
[[Lee correlation]] is the empirical correlation for the gas viscosity published in '''1966'''.
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[[File:LeeSample.png|thumb|right|400px|link=https://www.pengtools.com/pvtCalculator|Lee gas viscosity correlation at T=340F in the PVT software at pengtools.com|right]]
 
[[File:LeeSample.png|thumb|right|400px|link=https://www.pengtools.com/pvtCalculator|Lee gas viscosity correlation at T=340F in the PVT software at pengtools.com|right]]
  
=== Math & Physics ===
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== Math & Physics ==
  
 
:<math> \mu_g = \frac{K\ e^{(X\ \rho_g^Y)}}{10000} </math><ref name= Lee/>
 
:<math> \mu_g = \frac{K\ e^{(X\ \rho_g^Y)}}{10000} </math><ref name= Lee/>
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:<math>  \rho_g =  \frac{1}{62.428} \times \frac{28.967\ SG_g\ p}{z\ 10.732\ T}</math>
 
:<math>  \rho_g =  \frac{1}{62.428} \times \frac{28.967\ SG_g\ p}{z\ 10.732\ T}</math>
  
=== Discussion  ===
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== Application range ==  
Why the [[Lee correlation]]?
 
 
 
=== Application range ===  
 
  
 
:<math>  560 \le T < 800 </math>
 
:<math>  560 \le T < 800 </math>
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:<math> 100 < P \le 8000</math>
 
:<math> 100 < P \le 8000</math>
  
=== Nomenclature ===
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== Nomenclature ==
 
:<math> \rho_g </math> = gas density, g/cm3
 
:<math> \rho_g </math> = gas density, g/cm3
 
:<math> \mu_g </math> = gas viscosity, cp
 
:<math> \mu_g </math> = gas viscosity, cp

Revision as of 11:56, 5 October 2020

Lee gas viscosity correlation

Lee correlation is the empirical correlation for the gas viscosity published in 1966.

Lee gas viscosity correlation at T=340F in the PVT software at pengtools.com

Math & Physics

 \mu_g = \frac{K\ e^{(X\ \rho_g^Y)}}{10000} [1]

where

  K = \frac{(9.4+0.02\ M_g)\ T^{1.5}}{(209+19M_g+T)}
 X = 3.5+\frac{986}{T}+0.001M_g
 Y = 2.4-0.2\ X
 M_g = 28.967\ SG_g
  \rho_g =  \frac{1}{62.428} \times \frac{28.967\ SG_g\ p}{z\ 10.732\ T}

Application range

  560 \le T < 800
 100 < P \le 8000

Nomenclature

 \rho_g = gas density, g/cm3
 \mu_g = gas viscosity, cp
 M_g = gas molecular weight, dimensionless
 p = pressure, psia
 SG_g = gas specific gravity, dimensionless
 T = temperature, °R
 z = gas compressibility factor, dimensionless

References

  1. Lee, A. B.; Gonzalez, M. H.; Eakin, B. E. (1966). "The Viscosity of Natural Gases". Journal of Petroleum Technology (SPE-1340-PA).