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

Revision as of 07:32, 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

z1 = 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

z2 = B_0 + B_1 API_{oil} + B_2 {API_{oil}}^2 + B_3 {API_{oil}}^3

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

z3 = C_0 + C_1 SG_{g} + C_2 SG^2_{g} + C_3 SG^3_{g}

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

z4 = D_0 + D_1 T + D_2 T^2 + D_4 T^3

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

1.8 \le R_s \le 394.7

0.725 \le SG_o \le 1.029

0.555 \le SG_g \le 1.685

15.6 \le T, C \le 172.2

A_0..A_3

= coefficients

B_0..B_3

= coefficients

C_0..C_3

= coefficients

D_0..D_4

= coefficients

P_{bp}

= bubble point pressure, MPa

R_s

= solution oil gas ratio, sm3/sm3

SG_g

= gas specific gravity, dimensionless

T

= temperature, °K

API_{oil}

= oil specific gravity, °API

↑ 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 48: / Line 48: @@
 == Nomenclature ==
-:<math> A_0..A_{3} </math> = coefficients
+:<math> A_0..A_3 </math> = coefficients
-:<math> B_0..B_{3} </math> = coefficients
+:<math> B_0..B_3 </math> = coefficients
-:<math> C_0..C_{3} </math> = coefficients
+:<math> C_0..C_3 </math> = coefficients
-:<math> D_0..D_{4} </math> = coefficients
+:<math> D_0..D_4 </math> = coefficients
-:<math> P </math> = pressure, MPA
+:<math> P_{bp} </math> = bubble point pressure, MPa
-:<math> P_{bp} </math> = bubble point pressure, MPA
+:<math> R_s </math> =  solution oil gas ratio, sm3/sm3
-:<math> R_s </math> =  oil gas ration, m3/m3
 :<math> SG_g </math> = gas specific gravity, dimensionless
 :<math> T </math> = temperature, °K
-:<math> Y_{oil_API} </math> = oil API gravity, dimensionless
+:<math> API_{oil} </math> = oil specific gravity, °API
 == References ==