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

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

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

[M1990-1] McCain, W.D. Jr. (1990). Properties of Petroleum Fluids (2 ed.). Oklahoma: PennWell Corp. ISBN 978-0878143351.

[PracticalPVT-2] Afanasyev, Vitaliy; Moskvin, Igor; Wolcott, Ken; McCain, W.D. (2004). "Practical PVT Calculations for black oils". YUKOS publication.

[DW-3] Wolcott, Don (2009). Applied Waterflood Field Development. Houston: Energy Tribune Publishing Inc.

[1]

[2]

[3]

@@ Line 1: / Line 1: @@
 __TOC__
-== McCain Oil Formation Volume Factor correlation==
+== McCain Oil Formation Volume Factor equation==
-[[McCain Oil Formation Volume Factor correlation|McCain correlation]] is an empirical correlation for the '''oil formation volume factor''' published in '''1990''' <ref name= M1990/>.
+[[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/>.
-[[File:McCain Oil Formation Volume Factor correlation.png|thumb|right|400px|https://www.pengtools.com/pvtCalculator?paramsToken=de71e4cc29541ab2117e07408864410c|McCain Oil Formation Volume Factor correlation in the PVT Software]]
+[[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 ==
-Pseudoliquid density:
+:<math>B_o = \frac{\rho_{STO}+1.22117\ R_s\ SG_g}{\rho_{oR}}</math><ref name=PracticalPVT/>
-:<math>\rho_{po} = 52.8 - 0.01 R_{sb}</math>
+== Example. Calculation of the oil formation volume factor ==
-Apparent liquid density:
-:<math>\rho_a = a_0 + a_1\ SG_{gSP} + a_2\ SG_{gSP}\ \rho_{po} + a_3\ SG_{gSP}\ \rho_{po}^2 + a_4\ \rho_{po} +a_5\ \rho_{po}^2 </math>
-:<math>a_0 = -49.8930</math>
-:<math>a_1 = 85.0149</math>
-:<math>a_2 = - 3.70373</math>
-:<math>a_3 = 0.0479818</math>
-:<math>a_4 = 2.98914</math>
-:<math>a_5 =- 0.0356888</math>
-Next pseudoliquid density<ref name= M1990/>:
-:<math>\rho_{po} = \frac{R_s\ SG_g + 4,600\ SG_o}{73.71+R_s\ SG_g\ / \rho_a}</math>
-Iterate until pseudoliquid densities are equal.
-Next adjust density to the pressure of interest:
-:<math>\rho_{bs} = \rho_{po} + \triangle \rho_P </math>
-where
-:<math>\triangle \rho_{P} = \left ( 0.617 + 16.181 \times 10^{-0.0425\ \rho_{po}} \right) \frac{P}{1000} - 0.01 \left ( 0.299 + 263 \times 10^{-0.0603\ \rho_{po}}\right)\ \left (\frac{P}{1000}\right)^2 </math>
-Adjust density to the temperature of interest:
-:<math>\rho_{o} = \rho_{bs} + \triangle \rho_T </math>
-where
-:<math>\triangle \rho_T = (0.00302 + 1.505\ \rho_{bs}^{-0.951}) (T - 60)^{0.938} - (0.0216 - 0.0233\ (10^{-0.0161\ \rho_{bs}})) (T - 60)^{0.475}</math>
-Oil density above the bubble point pressure:
-:<math>\rho_{o} = \rho_{b}\ e^{c_o\ (P - P_b)} </math>
-== Example. Calculation of the oil density ==
 Example source <ref name=DW/>
 ===Input data===
-:<math>R_s</math> = 53.24 sm3/sm3
+:<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_g</math> = 0.75
-:<math>T</math> = 90C or 363K
+:<math>\rho_{oR}</math> = 749 kg/m<sup>3</sup> at P = 10 MPa
-:<math>P</math> = 10 MPa
-Calculate oil density at p = 10 MPa?
+Calculate oil formation oil factor at p = 10 MPa?
 ===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]
 == Application range ==
-Description of the Data Used<ref name= M1995/>:
-:<math>  133 \le P_b \le 6,700 </math>
+:<math>  2.35 \le R_s \le 322 </math>
-:<math>  77 \le T \le 327 </math>
+:<math>  0.754 \le SG_o \le 0.989 </math>
-:<math>  18 \le R_{sb} \le 1,975 </math>
+:<math>  0.555 \le SG_g \le 1.245 </math>
-:<math>  0.76 \le SG_o \le 0.95 </math>
+:<math>  21.1 \le T, C \le 160 </math>
-:<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 ==
-:<math> c_o </math> = oil compressibility, 1/psia
+:<math> B_o </math> =  oil formation volume factor, rm<sup>3</sup>/sm<sup>3</sup>
-:<math> P </math> = pressure, psia
+:<math> R_s </math> =  solution gas-oil ratio, sm<sup>3</sup>/sm<sup>3</sup>
-:<math> R_s </math> =  solution gas-oil ratio, scf/stb
 :<math> SG_g </math> = gas specific gravity, dimensionless
-:<math> SG_{gSP} </math> = gas specific gravity at separator pressure, dimensionless
 :<math> SG_o </math> = oil specific gravity, dimensionless
-:<math> T </math> = temperature, °F
+:<math> \rho_{oR} </math> = oil density at reservoir conditions, kg/m<sup>3</sup>
+:<math> \rho_{STO} = SG_o \times 1000</math> = stock tank oil density, kg/m<sup>3</sup>
-:<math> \rho_{a} </math> = apparent density of surface gas if it were a liquid, lb<sub>m</sub>/ft<sup>3</sup>
-:<math> \rho_{ob} </math> = liquid density at the bubble point pressure, lb<sub>m</sub>/ft<sup>3</sup>
-:<math> \rho_{bs} </math> = liquid density at reservoir pressure and 60°F, lb<sub>m</sub>/ft<sup>3</sup>
-:<math> \rho_o </math> = oil density, lb<sub>m</sub>/ft<sup>3</sup>
-:<math> \rho_{po} </math> = pseudoliquid formed by recombination of surface gas and liquid at standard conditions, lb<sub>m</sub>/ft<sup>3</sup>
-:<math> \triangle \rho_{P} </math> = adjustment to liquid density due to pressure, lb<sub>m</sub>/ft<sup>3</sup>
-:<math> \triangle \rho_{T} </math> = adjustment to liquid density due to temperature, lb<sub>m</sub>/ft<sup>3</sup>
-===Subscripts===
-:b - bubble point <BR/>
-:g - gas<BR/>
-:o - oil
 == References ==
 <references>
-<ref name=M1995>{{cite journal
- |last1=McCain|first1=W.D. Jr.
- |last2= Hill |first2=N. C.
- |title=Correlations for Liquid Densities and Evolved Gas Specific Gravities for Black Oils During Pressure Depletion
- |journal=Society of Petroleum Engineers
- |number=SPE-30773-MS
- |date=1995
- |url=https://www.onepetro.org/conference-paper/SPE-30773-MS
- |url-access=registration
-}}</ref>
 <ref name=M1990>{{cite book
   |last1=McCain|first1=W.D. Jr.
@@ Line 119: / Line 52: @@
   |url=http://www.pennwellbooks.com/petroleum/oil-gas-production/the-properties-of-petroleum-fluids-2nd-edition/
   |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 name=DW>
@@ Line 136: / Line 79: @@
 {{#seo:
-|title=McCain Oil density correlation
+|title=McCain Oil Formation Volume Factor equation
 |titlemode= replace
-|keywords=density of oil, petroleum engineering, PVT
+|keywords=oil formation volume factor, petroleum engineering, PVT
-|description=McCain Oil density correlation is an empirical correlation for the oil density published in 1995.
+|description=McCain Oil Formation Volume Factor equation is determined from material material balance equation based on the definition of the oil formation volume factor
 }}

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