Difference between revisions of "Beggs and Robinson Oil Viscosity correlation"

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(Nomenclature)
Line 9: Line 9:
 
Dead oil viscosity:
 
Dead oil viscosity:
  
:<math>\mu_{od} = 10^X-1</math>
+
:<math>\mu_{od} = 10^x-1</math>
  
 
where:
 
where:
  
:<math>X = T^{-1.163} \times e^{(13.108-6.591/SG_{o})}</math>
+
:<math>x = T^{-1.163} \times e^{(13.108-6.591/SG_{o})}</math>
  
 
Saturated oil viscosity:
 
Saturated oil viscosity:
Line 38: Line 38:
 
:<math> A </math> = coefficient
 
:<math> A </math> = coefficient
 
:<math> B </math> = coefficient
 
:<math> B </math> = coefficient
 
+
:<math> m </math> = coefficient
 
:<math> P </math> = pressure, psia
 
:<math> P </math> = pressure, psia
:<math> P_{b} </math> = bubble point pressure, psia
 
 
:<math> R_s </math> =  oil gas ration, scf/stb
 
:<math> R_s </math> =  oil gas ration, scf/stb
 
:<math> SG_o </math> = oil specific gravity, dimensionless
 
:<math> SG_o </math> = oil specific gravity, dimensionless
 
:<math> T </math> = temperature, °F
 
:<math> T </math> = temperature, °F
 +
:<math> x </math> = coefficient
 +
 +
:<math> \mu </math> = viscosity, cP
  
:<math> /mu </math> = viscosity, cP
+
====Subscripts====
 +
b - bubble point
 +
od - dead oil
 +
os - saturated oil
 +
o  - undersaturated oil
  
 
=== References ===
 
=== References ===

Revision as of 10:10, 25 July 2017

Brief

Beggs - Robinson is an empirical correlation for the oil viscosity published in 1975 [1].

Math & Physics

Dead oil viscosity:

\mu_{od} = 10^x-1

where:

x = T^{-1.163} \times e^{(13.108-6.591/SG_{o})}

Saturated oil viscosity:

\mu_{os} =  A \mu_{od}^B

where:

 A = 10.715\ (R_s + 100)^{-0.515}
 B = 5.44\ (R_s + 150)^{-0.338}

Undersaturated oil viscosity:

\mu_{o} =  \mu_{os} (P/P_b)^m [2]

where:

m = 2.6\ P^{1.187}\ e^{(-11.513-8.98 \times 10^{-5}\ P)}

Discussion

Application range

Nomenclature

 A = coefficient
 B = coefficient
 m = coefficient
 P = pressure, psia
 R_s = oil gas ration, scf/stb
 SG_o = oil specific gravity, dimensionless
 T = temperature, °F
 x = coefficient
 \mu = viscosity, cP

Subscripts

b - bubble point od - dead oil os - saturated oil o - undersaturated oil

References

  1. Beggs, H. D.; Robinson, J. R. (September 1975). "Estimating the Viscosity of Crude Oil Systems"Free registration required. Journal of Petroleum Technology. 27(09) (SPE-5434-PA). 
  2. Vazquez, M.; Beggs, H.D. (1980). "Correlations for Fluid Physical Property Prediction."Free registration required. Society of Petroleum Engineers (SPE-6719-PA).