Valko - McCain bubble point pressure correlation

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Valko - McCain bubble point pressure correlation

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

Valko McCain Bubble Point Pressure correlation in the PVT Software

Math & Physics

 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

Application range

  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

Example. Calculation of the bubble point pressure

Example source [3]

Input data

R_s = 60 sm3/sm3
SG_o = 0.85 or 35 API
SG_g = 0.75
T = 90C or 363K

Calculate bubble point pressure?

Solution

z1=-0.2422
z2=0.0294
z3=0.1122
z4=-0.0594

ln(P_b) = 2.4557
Pb = 11.65MPa or 115 atm

The solution is available in the online PVT calculator software at www.pengtools.com

Nomenclature

 API_{oil} = oil specific gravity, °API
 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
 SG_o = oil specific gravity, dimensionless
 T = temperature, °K

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. 
  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.