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

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__TOC__
 
__TOC__
  
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=== Brief ===
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== Beggs and Robinson oil viscosity correlation ==
  
 
[[Beggs and Robinson correlation|Beggs and Robinson]] is an empirical correlation for the '''oil viscosity''' published in '''1975''' <ref name= BR1975/>.
 
[[Beggs and Robinson correlation|Beggs and Robinson]] is an empirical correlation for the '''oil viscosity''' published in '''1975''' <ref name= BR1975/>.
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[[File:Beggs and Robinson.png|thumb|right|400px|link=https://www.pengtools.com/pvtCalculator?paramsToken=b79727e91f05b72cbb6d99afcb588636|Beggs and Robinson oil viscosity correlation in the PVT Software]]
 
[[File:Beggs and Robinson.png|thumb|right|400px|link=https://www.pengtools.com/pvtCalculator?paramsToken=b79727e91f05b72cbb6d99afcb588636|Beggs and Robinson oil viscosity correlation in the PVT Software]]
  
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=== Math & Physics ===
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== Math & Physics ==
  
 
Dead oil viscosity:
 
Dead oil viscosity:
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:<math>m = 2.6\ P^{1.187}\ e^{(-11.513-8.98 \times 10^{-5}\ P)}</math>
 
:<math>m = 2.6\ P^{1.187}\ e^{(-11.513-8.98 \times 10^{-5}\ P)}</math>
  
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=== Discussion  ===
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== Example. Calculation of the oil viscosity ==
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=== Application range ===
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Example source <ref name={1987 PEH Chapter 22}/>
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===Input data===
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:<math>R_s</math> = 53.24 sm<sup>3</sup>/sm<sup>3</sup> at P = 10 MPa
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:<math>SG_o</math> = 0.85 or 35 API
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:<math>SG_g</math> = 0.75
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:<math>\rho_{oR}</math> = 749 kg/m<sup>3</sup> at P = 10 MPa
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Calculate oil formation oil factor at p = 10 MPa?
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===Solution===
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:<math>B_o</math> = 1.199 rm<sup>3</sup>/sm<sup>3</sup>
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The solution is available in the online PVT calculator software model at [https://www.pengtools.com/pvtCalculator?paramsToken=de71e4cc29541ab2117e07408864410c www.pengtools.com]
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== Application range ==
 
Description of the Data Used<ref name= BR1975/>:
 
Description of the Data Used<ref name= BR1975/>:
  
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Number of live oil observations = 2,073<BR/>
 
Number of live oil observations = 2,073<BR/>
  
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=== Nomenclature ===
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== Nomenclature ==
 
:<math> A </math> = coefficient
 
:<math> A </math> = coefficient
 
:<math> B </math> = coefficient
 
:<math> B </math> = coefficient
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:o  - undersaturated oil <BR/>
 
:o  - undersaturated oil <BR/>
  
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=== References ===
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== References ==
 
<references>
 
<references>
 
<ref name=BR1975>{{cite journal
 
<ref name=BR1975>{{cite journal
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  |url=https://www.onepetro.org/journal-paper/SPE-6719-PA
 
  |url=https://www.onepetro.org/journal-paper/SPE-6719-PA
 
  |url-access=registration  
 
  |url-access=registration  
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}}</ref>
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<ref name={1987 PEH Chapter 22}>
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{{cite book
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|last1= Beggs |first1=H. Dale
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|title=Oil System Correlations (1987 PEH Chapter 22)
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|date=1987
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|publisher=Society of Petroleum Engineers
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|url=https://www.onepetro.org/book/peh/spe-1987-22-peh
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|url-access=subscription
 
}}</ref>
 
}}</ref>
 
</references>
 
</references>

Revision as of 12:05, 28 September 2020

Beggs and Robinson oil viscosity correlation

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

Beggs and Robinson oil viscosity correlation in the PVT Software

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)}

Example. Calculation of the oil viscosity

Example source Cite error: The opening <ref> tag is malformed or has a bad name

Input data

R_s = 53.24 sm3/sm3 at P = 10 MPa
SG_o = 0.85 or 35 API
SG_g = 0.75
\rho_{oR} = 749 kg/m3 at P = 10 MPa

Calculate oil formation oil factor at p = 10 MPa?

Solution

B_o = 1.199 rm3/sm3

The solution is available in the online PVT calculator software model at www.pengtools.com


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. ↑ Vasquez, M.; Beggs, H.D. (1980). "Correlations for Fluid Physical Property Prediction."Free registration required. Society of Petroleum Engineers (SPE-6719-PA). 

Cite error: <ref> tag defined in <references> has no name attribute.

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