Difference between revisions of "Valko - McCain bubble point pressure correlation"

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=== Math & Physics ===
 
=== Math & Physics ===
  
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:<math> P_{bp} = e^{2.498 + 0.713 \alpha + 0.0075 \alpha^2}</math><ref name= Valco - McCain correlation/>
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:<math> P_{bp} = e^{2.498 + 0.713 \alpha + 0.0075 \alpha^2}</math><ref name= Valco/>
  
 
where:
 
where:
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=== References ===
 
=== References ===
 
<references>
 
<references>
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<ref name=Valco - McCain correlation|Valco - McCain>
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<ref name=Valco>
 
{{cite journal
 
{{cite journal
 
  |last1= Valkó |first1=P. P.
 
  |last1= Valkó |first1=P. P.

Revision as of 06:21, 14 June 2017

Brief

Valco - McCain correlation is ...

Math & Physics

P_{bp} = e^{2.498 + 0.713 \alpha + 0.0075 \alpha^2}[1]

where:

A0 = -4.814074834
A1 = 0.7480913 A2 = 0.1743556
A3 = 0.0206

\alpha1 = A_0+ A_1 log(R_{sb}) + A_2 log^2(R_{sb}) - A_3 log^3(R_{sb})

B0 = 1.27
B1 = 0.0449
B2 = 4.36e-4
B3 = 4.76e-6

\alpha2 = B_0 - B_1 Y_{oil_API}+ B_2 Y^2_{oil_API} - B_3 Y^3_{oil_API}

C0 = 4.51
C1 = 10.84
C2 = 8.39
C3 = 2.34

\alpha3 = C_0 - C_1 SG_{g} + C_2 SG^2_{g} - C_3 SG^3_{g}

D0 = -7.2254661
D1 = 0.043155
D2 = 8.55e-5
D3 = 6.00696e-8

\alpha4 = D_0 + D_1 T - D_2 T^2 + D_4 T^3
\alpha = \alpha1 + \alpha2 + \alpha3 + \alpha4

Discussion

Workflow

Application range

Nomenclature

A_0..A_{3} = coefficients
B_0..B_{3} = coefficients
C_0..C_{3} = coefficients
D_0..D_{4} = coefficients
P = pressure, MPA
P_{bp} = bubble point pressure, MPA
R_s = oil gas ration, m3/m3
SG_g = gas specific gravity, dimensionless
T = temperature, °R
Y_{oil_API} = oil API gravity, dimensionless

References

  1. ↑ Valkó, P. P.; McCain, W.D. (2003). "Reservoir oil bubblepoint pressures revisited; solution gas–oil ratios and surface gas specific gravities."Free registration required. J. Pet. Sci. Eng. 37 (3–4): 153-169. 
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