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

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=== Discussion  ===
 
=== Discussion  ===
−
=== Application range ===  
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=== Application range ===
 +
:<math>  1.8 \le R_s \le 394.7 </math>
 +
:<math>  0.725 \le SG_o \le 1.029 </math>
 +
:<math>  0.555 \le SG_g \le 1.685 </math>
 +
:<math>  15.6 \le T, C \le 172.2 </math>
 +
 
 
== Nomenclature ==
 
== Nomenclature ==
 
:<math> A_0..A_{3} </math> = coefficients
 
:<math> A_0..A_{3} </math> = coefficients

Revision as of 07:30, 28 September 2020

Valco - McCain bubble point pressure correlation

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

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

Discussion

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

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, °K
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. 
  2. ↑ Afanasyev, Vitaliy; Moskvin, Igor; Wolcott, Ken; McCain, W.D. (2004). "Practical PVT Calculations for black oils". YUKOS publication. 
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