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

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(Math & Physics)
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Dead oil viscosity:
 
Dead oil viscosity:
  
:<math>\mu_{od} = 10^X-1</math><ref name= {Beggs - Robinson}/>
+
:<math>\mu_{od} = 10^X-1</math>
  
 
where:
 
where:
Line 27: Line 27:
 
Undersaturated oil viscosity:
 
Undersaturated oil viscosity:
  
:<math>\mu_{o} =  \mu_{os} (P/P_b)^m </math>
+
:<math>\mu_{o} =  \mu_{os} (P/P_b)^m </math><ref name=VB1980>
  
 
where:
 
where:
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=== Discussion  ===
 
=== Discussion  ===
=== Workflow  ===
 
 
=== Application range ===  
 
=== Application range ===  
 
=== Nomenclature ===
 
=== Nomenclature ===
:<math> A_0..A_{2} </math> = coefficients
+
:<math> P </math> = pressure, psia
:<math> B_0..B_{2} </math> = coefficients
+
:<math> P_{b} </math> = bubble point pressure, psia
:<math> C_0..C_{2} </math> = coefficients
+
:<math> R_s </math> =  oil gas ration, scf/stb
:<math> P </math> = pressure, MPA
+
:<math> SG_o </math> = oil specific gravity, dimensionless
:<math> P_{bp} </math> = bubble point pressure, MPA
+
:<math> T </math> = temperature, °F
:<math> R_s </math> =  oil gas ration, m3/m3
+
 
:<math> SG_g </math> = gas specific gravity, dimensionless
+
:<math> /mu </math> = viscosity, cP
:<math> T </math> = temperature, °R
 
:<math> Y_{oil_API} </math> = oil API gravity, dimensionless
 
  
 
=== References ===
 
=== References ===
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}}</ref>
 
}}</ref>
  
<ref name={Beggs - Robinson}>
+
<ref name=VB1980>
 
{{cite journal
 
{{cite journal
 
  |last1= Vazquez |first1=M.
 
  |last1= Vazquez |first1=M.

Revision as of 10:05, 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:

\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 Cite error: Closing </ref> missing for <ref> tag

[2]

</references>
  1. Cite error: Invalid <ref> tag; no text was provided for refs named BR1975
  2. Vazquez, M.; Beggs, H.D. (1980). "Correlations for Fluid Physical Property Prediction."Free registration required. Society of Petroleum Engineers (SPE-6719-PA).