Difference between revisions of "McCain Oil Formation Volume Factor equation"

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== McCain Oil Formation Volume Factor equation==
 
== McCain Oil Formation Volume Factor equation==
  
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[[McCain Oil Formation Volume Factor equation|McCain equation]] is determined from material material balance equation based on the definition of the '''oil formation volume factor'''<ref name= M1990/>.
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[[McCain Oil Formation Volume Factor equation|McCain equation]] is determined from material balance equation based on the definition of the '''oil formation volume factor'''<ref name= M1990/>.
  
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[[File:McCain Oil Formation Volume Factor equation|thumb|right|400px|https://www.pengtools.com/pvtCalculator?paramsToken=de71e4cc29541ab2117e07408864410c|McCain Oil Formation Volume Factor correlation in the PVT Software]]
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[[File:McCain Oil Formation Volume Factor equation.png|thumb|right|400px|https://www.pengtools.com/pvtCalculator?paramsToken=de71e4cc29541ab2117e07408864410c|McCain Oil Formation Volume Factor equation in the PVT Software]]
  
 
== Math & Physics ==
 
== Math & Physics ==
  
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:<math>B_o = \frac{\rho_{STO}+1.22117R_s\gamma_g}{\rho_{oR}}</math>
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:<math>B_o = \frac{\rho_{STO}+1.22117\ R_s\ SG_g}{\rho_{oR}}</math><ref name=PracticalPVT/>
  
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== Example. Calculation of the oil density ==
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== Example. Calculation of the oil formation volume factor ==
 
Example source <ref name=DW/>
 
Example source <ref name=DW/>
 
===Input data===
 
===Input data===
−
:<math>R_s</math> = 53.24 sm3/sm3
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:<math>R_s</math> = 53.24 sm<sup>3</sup>/sm<sup>3</sup> at P = 10 MPa
 
:<math>SG_o</math> = 0.85 or 35 API
 
:<math>SG_o</math> = 0.85 or 35 API
 
:<math>SG_g</math> = 0.75
 
:<math>SG_g</math> = 0.75
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:<math>T</math> = 90C or 363K
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:<math>\rho_{oR}</math> = 749 kg/m<sup>3</sup> at P = 10 MPa
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:<math>P</math> = 10 MPa
+
 
−
Calculate oil density at p = 10 MPa?
+
Calculate oil formation oil factor at p = 10 MPa?
  
 
===Solution===
 
===Solution===
−
:<math>\rho_o</math> = 749.645 kg/m3
+
:<math>B_o</math> = 1.199 rm<sup>3</sup>/sm<sup>3</sup>
  
 
The solution is available in the online PVT calculator software model at [https://www.pengtools.com/pvtCalculator?paramsToken=de71e4cc29541ab2117e07408864410c www.pengtools.com]
 
The solution is available in the online PVT calculator software model at [https://www.pengtools.com/pvtCalculator?paramsToken=de71e4cc29541ab2117e07408864410c www.pengtools.com]
  
 
== Application range ==
 
== Application range ==
−
Description of the Data Used<ref name= M1995/>:
 
  
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:<math>  133 \le P_b \le 6,700 </math>
+
:<math>  2.35 \le R_s \le 322 </math>
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:<math>  77 \le T \le 327 </math>
+
:<math>  0.754 \le SG_o \le 0.989 </math>
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:<math>  18 \le R_{sb} \le 1,975 </math>
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:<math>  0.555 \le SG_g \le 1.245 </math>
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:<math>  0.76 \le SG_o \le 0.95 </math>
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:<math>  21.1 \le T, C \le 160 </math>
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:<math>  0.556 \le SG_g \le 1.237 </math>
 
−
:<math>  31.3 \le \rho_{ob} \le 55.77 </math>
 
−
 
 
−
Number of data sets = 684<BR/>
 
  
 
== Nomenclature ==
 
== Nomenclature ==
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:<math> R_s </math> =  solution gas-oil ratio, sm<sup>3</sup>/sm<sup>3</sup>
 
:<math> R_s </math> =  solution gas-oil ratio, sm<sup>3</sup>/sm<sup>3</sup>
 
:<math> SG_g </math> = gas specific gravity, dimensionless
 
:<math> SG_g </math> = gas specific gravity, dimensionless
 +
:<math> SG_o </math> = oil specific gravity, dimensionless
 
:<math> \rho_{oR} </math> = oil density at reservoir conditions, kg/m<sup>3</sup>
 
:<math> \rho_{oR} </math> = oil density at reservoir conditions, kg/m<sup>3</sup>
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:<math> \rho_{STO} </math> = stock tank oil density, kg/m<sup>3</sup>
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:<math> \rho_{STO} = SG_o \times 1000</math> = stock tank oil density, kg/m<sup>3</sup>
  
 
== References ==
 
== References ==
 
<references>
 
<references>
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<ref name=M1995>{{cite journal
 
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|last1=McCain|first1=W.D. Jr.
 
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|last2= Hill |first2=N. C.
 
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|title=Correlations for Liquid Densities and Evolved Gas Specific Gravities for Black Oils During Pressure Depletion
 
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|journal=Society of Petroleum Engineers
 
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|number=SPE-30773-MS
 
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|date=1995
 
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|url=https://www.onepetro.org/conference-paper/SPE-30773-MS
 
−
|url-access=registration
 
−
}}</ref>
 
−
 
 
<ref name=M1990>{{cite book
 
<ref name=M1990>{{cite book
 
  |last1=McCain|first1=W.D. Jr.
 
  |last1=McCain|first1=W.D. Jr.
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  |url=http://www.pennwellbooks.com/petroleum/oil-gas-production/the-properties-of-petroleum-fluids-2nd-edition/
 
  |url=http://www.pennwellbooks.com/petroleum/oil-gas-production/the-properties-of-petroleum-fluids-2nd-edition/
 
  |ISBN=978-0878143351
 
  |ISBN=978-0878143351
 +
}}</ref>
 +
<ref name=PracticalPVT>
 +
{{cite journal
 +
|last1= Afanasyev |first1=Vitaliy
 +
|last2= Moskvin |first2=Igor
 +
|last3= Wolcott |first3=Ken
 +
|last4= McCain |first4=W.D.
 +
|title=Practical PVT Calculations for black oils
 +
|journal=YUKOS publication
 +
|date=2004
 
}}</ref>
 
}}</ref>
 
<ref name=DW>
 
<ref name=DW>
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{{#seo:
 
{{#seo:
−
|title=McCain Oil Formation Volume Factor correlation
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|title=McCain Oil Formation Volume Factor equation
 
|titlemode= replace
 
|titlemode= replace
 
|keywords=oil formation volume factor, petroleum engineering, PVT
 
|keywords=oil formation volume factor, petroleum engineering, PVT
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|description=McCain Oil Formation Volume Factor correlation is an empirical correlation for the oil formation volume factor published in 1990
+
|description=McCain Oil Formation Volume Factor equation is determined from material material balance equation based on the definition of the oil formation volume factor
 
}}
 
}}

Latest revision as of 12:37, 28 September 2020

McCain Oil Formation Volume Factor equation

McCain equation is determined from material balance equation based on the definition of the oil formation volume factor[1].

McCain Oil Formation Volume Factor equation in the PVT Software

Math & Physics

B_o = \frac{\rho_{STO}+1.22117\ R_s\ SG_g}{\rho_{oR}}[2]

Example. Calculation of the oil formation volume factor

Example source [3]

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

2.35 \le R_s \le 322
0.754 \le SG_o \le 0.989
0.555 \le SG_g \le 1.245
21.1 \le T, C \le 160

Nomenclature

B_o = oil formation volume factor, rm3/sm3
R_s = solution gas-oil ratio, sm3/sm3
SG_g = gas specific gravity, dimensionless
SG_o = oil specific gravity, dimensionless
\rho_{oR} = oil density at reservoir conditions, kg/m3
\rho_{STO} = SG_o \times 1000 = stock tank oil density, kg/m3

References

  1. ↑ McCain, W.D. Jr. (1990). Properties of Petroleum Fluids (2 ed.). Oklahoma: PennWell Corp. ISBN 978-0878143351. 
  2. ↑ Afanasyev, Vitaliy; Moskvin, Igor; Wolcott, Ken; McCain, W.D. (2004). "Practical PVT Calculations for black oils". YUKOS publication. 
  3. ↑ Wolcott, Don (2009). Applied Waterflood Field DevelopmentPaid subscription required. Houston: Energy Tribune Publishing Inc. 
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