Beggs and Robinson Oil Viscosity correlation

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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

 P = pressure, psia
 P_{b} = bubble point pressure, psia
 R_s = oil gas ration, scf/stb
 SG_o = oil specific gravity, dimensionless
 T = temperature, °F
 /mu = viscosity, cP

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).