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2018-12-07T09:26:03Z

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Copyright © 2017 APT Inc. All rights reserved.

Content of our wiki portal is intended for personal use only and to supplement, not replace, engineering judgment. We disclaims any and all liability for your use of such content.

Correspondingly, the discussion of materials, methods, or techniques that may be covered by letters patents, or any other intellectual property, neither implies nor grants freedom to use such materials, methods or techniques without permission through appropriate licensing.

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2018-12-07T09:24:36Z

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Beggs and Robinson Oil Viscosity correlation

2018-11-12T06:52:05Z

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__TOC__

=== Brief ===

[[Beggs and Robinson correlation|Beggs and Robinson]] is an empirical correlation for the '''oil viscosity''' published in '''1975''' <ref name= BR1975/>.

[[File:Beggs and Robinson.png|thumb|right|400px|link=https://www.pengtools.com/pvtCalculator?paramsToken=b79727e91f05b72cbb6d99afcb588636|Oil viscosity in the PVT Tool]]

=== Math & Physics ===

Dead oil viscosity:

:<math>\mu_{od} = 10^x-1</math>

where:

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

Saturated oil viscosity (P < P<sub>b</sub>):

:<math>\mu_{os} = A \mu_{od}^B</math>

where:

:<math> A = 10.715\ (R_s + 100)^{-0.515} </math>

:<math> B = 5.44\ (R_s + 150)^{-0.338} </math>

Undersaturated oil viscosity (P > P<sub>b</sub>):

:<math>\mu_{o} = \mu_{os} (P/P_b)^m </math><ref name=VB1980/>

where:

:<math>m = 2.6\ P^{1.187}\ e^{(-11.513-8.98 \times 10^{-5}\ P)}</math>

=== Discussion ===
=== Application range ===
Description of the Data Used<ref name= BR1975/>:

:<math> 20 \le R_s \le 2,070 </math>
:<math> 0.75 \le SG_o \le 0.96 </math>
:<math> 0 \le P \le 5250 </math>
:<math> 70 \le T \le 295 </math>

Number of oil systems = 600<BR/>
Number of dead oil observations = 460<BR/>
Number of live oil observations = 2,073<BR/>

=== Nomenclature ===
:<math> A </math> = coefficient
:<math> B </math> = coefficient
:<math> m </math> = coefficient
:<math> P </math> = pressure, psia
:<math> R_s </math> = solution gas-oil ratio, scf/stb
:<math> SG_o </math> = oil specific gravity, dimensionless
:<math> T </math> = temperature, °F
:<math> x </math> = coefficient

:<math> \mu </math> = viscosity, cP

====Subscripts====
:b - bubble point <BR/>
:od - dead oil <BR/>
:os - saturated oil <BR/>
:o - undersaturated oil <BR/>

=== References ===
<references>
<ref name=BR1975>{{cite journal
|last1=Beggs|first1=H. D.
|last2= Robinson |first2=J. R.
|title=Estimating the Viscosity of Crude Oil Systems
|journal=Journal of Petroleum Technology
|number=SPE-5434-PA
|date=September 1975
|volume=27(09)
|url=https://www.onepetro.org/journal-paper/SPE-5434-PA
|url-access=registration
}}</ref>

<ref name=VB1980>
{{cite journal
|last1= Vazquez |first1=M.
|last2= Beggs |first2=H.D.
|title=Correlations for Fluid Physical Property Prediction.
|journal=Society of Petroleum Engineers
|number=SPE-6719-PA
|date=1980
|url=https://www.onepetro.org/journal-paper/SPE-6719-PA
|url-access=registration
}}</ref>
</references>

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