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

Revision as of 07:21, 28 September 2020

Valco - McCain is an empirical correlation for the bubble point pressure published in 2003 ^[1].

P_{bp} = e^{2.498 + 0.713 z + 0.0075 z^2}

^[2]

where:

z = z1 + z2 + z3 + z4

Failed to parse (unknown function "\z"): \z = A_0+ A_1 ln(R_{sb}) + A_2 ln^2(R_{sb}) - A_3 ln^3(R_{sb})

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

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

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, °K

Y_{oil_API}

= oil API gravity, dimensionless

↑ Valkó, P. P.; McCain, W.D. (2003). "Reservoir oil bubblepoint pressures revisited; solution gas–oil ratios and surface gas specific gravities.". J. Pet. Sci. Eng. 37 (3–4): 153-169.
↑ Afanasyev, Vitaliy; Moskvin, Igor; Wolcott, Ken; McCain, W.D. (2004). "Practical PVT Calculations for black oils". YUKOS publication.

@@ Line 11: / Line 11: @@
 where:
-:<math> \alpha = \alpha1 + \alpha2 + \alpha3 + \alpha4</math>
+:<math> z = z1 + z2 + z3 + z4</math>
+:<math> \z =  A_0+ A_1 ln(R_{sb}) + A_2 ln^2(R_{sb}) - A_3 ln^3(R_{sb})</math>
 A0 = -4.814074834<br/>
@@ Line 17: / Line 19: @@
 A2 = 0.1743556<br/>
 A3 = 0.0206<br/>
-:<math> \alpha1 =  A_0+ A_1 ln(R_{sb}) + A_2 ln^2(R_{sb}) - A_3 ln^3(R_{sb})</math>
 B0 = 1.27<br/>