Velarde solution gas oil ratio correlation

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Brief

Velarde correlation is ...

Math & Physics

R_s = \frac{R_{sr}}{R_{sb}}
R_{sr} = \alpha1 \times Pr^{\alpha2} + (1 - \alpha1) \times Pr^{\alpha3}[1]

where:

A0 = 1.8653e-4
A1 = 1.672608
A2 = 0.929870
A3 = 0.247235
A4 = 1.056052

 \alpha1 = A_0 \times SG^{A_1}_{gas} \times Y^{A_2}_{oil_API} \times {(T- 459.67)}^{A_3} \times P^{A_3}_{bp}

B0 = 0.1004
B1 = -1.00475
B2 = 0.337711
B3 = 0.132795
B4 = 0.302065

\alpha2 = B_0 \times SG^{B_1}_{gas} \times Y^{B_2}_{oil_API} \times {(T - 459.67)}^{B_3} \times P^{B_4}_{bp}

C0 = 0.9167
C1 = -1.48548
C2 = -0.164741
C3 = -0.09133
C4 = 0.047094

\alpha3 = C_0 \times SG^{C_1}_{gas} \times Y^{C_2}_{oil_API} \times {(T - 459.67)}^{C_3} \times P^{C_4}_{bp}

Discussion

Why the Velarde correlation?

Workflow

Application range

Nomenclature

 A_1..A_{4} = coefficients
 B_1..B_{4} = coefficients
 C_1..C_{4} = coefficients
 \rho_r = reduced density, dimensionless
 P = pressure, psia
 P_{pc} = pseudo critical pressure, psia
 P_{pr} = pseudoreduced pressure, dimensionless
 SG_g = gas specific gravity, dimensionless
 T = temperature, °R
 T_{pc} = pseudo critical temperature, °R
 T_{pr} = pseudoreduced temperature, dimensionless
 Y_{oil_API} = oil API gravity, dimensionless
 z = gas compressibility factor, dimensionless

References

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