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

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=== Discussion  ===
 
=== Discussion  ===
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=== Application range (Data Used) ===
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=== Application range ===
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Description of the Data Used<ref name= BR1975/>:
  
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:<math>  20 \le R_s \le 2,070 </math><ref name= BR1975/>
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:<math>  20 \le R_s \le 2,070 </math>
 
:<math>  0.75 \le SG_o \le 0.96 </math>
 
:<math>  0.75 \le SG_o \le 0.96 </math>
 
:<math>  0 \le P \le 5250 </math>
 
:<math>  0 \le P \le 5250 </math>

Revision as of 10:24, 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 (P < Pb):

\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 (P > Pb):

\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

Description of the Data Used[1]:

20 \le R_s \le 2,070
0.75 \le SG_o \le 0.96
0 \le P \le 5250
70 \le T \le 295

Number of oil systems = 600
Number of dead oil observations = 460
Number of live oil observations = 2,073

Nomenclature

A = coefficient
B = coefficient
m = coefficient
P = pressure, psia
R_s = solution gas-oil ratio, 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. ↑ 1.0 1.1 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). 
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