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[2]

where:

A0 = -1.163
A1 = 13.108
A2 = 6.591

X = T^{A_0} \times e^{A_1-A_2/SG_{o}}

Saturated oil viscosity:

\mu_{os} =  \alpha1 \mu^{\alpha2}_{od}

where:

B0 = 10.715
B1 = 5.615
B2 = 0.515

 \alpha1 = B_0 * (B_1 * R + 100)^B2)

C0 = 5.44
C1 = 5.615
C2 = 0.338

 \alpha2 = C_0 * pow(C_1 * R + 150, -C_3)

Discussion

Workflow

Application range

Nomenclature

 A_0..A_{2} = coefficients
 B_0..B_{2} = coefficients
 C_0..C_{2} = coefficients
 P = pressure, MPA
 P_{bp} = bubble point pressure, MPA
 R_s = oil gas ration, m3/m3
 SG_g = gas specific gravity, dimensionless
 T = temperature, °R
 Y_{oil_API} = oil API gravity, dimensionless

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).