Difference between revisions of "Velarde solution gas oil ratio correlation"
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:<math>R_s = \frac{R_{sr}}{R_{sb}}</math> | :<math>R_s = \frac{R_{sr}}{R_{sb}}</math> | ||
| − | :<math>R_{sr} = \alpha1 \times | + | :<math>R_{sr} = \alpha1 \times P^{\alpha2}_r + (1 - \alpha1) \times P^{\alpha3}_r</math><ref name= Velarde/> |
where: | where: | ||
| + | |||
| + | :<math>P_r = \frac{P}{P_{bp}}</math> | ||
A0 = 1.8653e-4<br/> | A0 = 1.8653e-4<br/> | ||
| Line 18: | Line 20: | ||
A4 = 1.056052<br/> | A4 = 1.056052<br/> | ||
| − | :<math> \alpha1 = A_0 \times SG^{A_1} | + | :<math> \alpha1 = A_0 \times SG^{A_1}_g \times Y^{A_2}_{oil_API} \times {(T- 459.67)}^{A_3} \times P^{A_3}_{bp} </math> |
B0 = 0.1004<br/> | B0 = 0.1004<br/> | ||
| Line 26: | Line 28: | ||
B4 = 0.302065<br/> | B4 = 0.302065<br/> | ||
| − | :<math>\alpha2 = B_0 \times SG^{B_1} | + | :<math>\alpha2 = B_0 \times SG^{B_1}_g \times Y^{B_2}_{oil_API} \times {(T - 459.67)}^{B_3} \times P^{B_4}_{bp}</math> |
C0 = 0.9167<br/> | C0 = 0.9167<br/> | ||
| Line 34: | Line 36: | ||
C4 = 0.047094<br/> | C4 = 0.047094<br/> | ||
| − | :<math>\alpha3 = C_0 \times SG^{C_1} | + | :<math>\alpha3 = C_0 \times SG^{C_1}_g \times Y^{C_2}_{oil_API} \times {(T - 459.67)}^{C_3} \times P^{C_4}_{bp}</math> |
=== Discussion === | === Discussion === | ||
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:<math> B_1..B_{4} </math> = coefficients | :<math> B_1..B_{4} </math> = coefficients | ||
:<math> C_1..C_{4} </math> = coefficients | :<math> C_1..C_{4} </math> = coefficients | ||
| − | + | :<math> P </math> = pressure, MPA | |
| − | :<math> P </math> = pressure, | + | :<math> P_{bp} </math> = bubble point pressure, MPA |
| − | |||
| − | :<math> P_{ | ||
:<math> SG_g </math> = gas specific gravity, dimensionless | :<math> SG_g </math> = gas specific gravity, dimensionless | ||
:<math> T </math> = temperature, °R | :<math> T </math> = temperature, °R | ||
| − | |||
| − | |||
:<math> Y_{oil_API} </math> = oil API gravity, dimensionless | :<math> Y_{oil_API} </math> = oil API gravity, dimensionless | ||
| − | + | ||
=== References === | === References === | ||
Revision as of 11:22, 8 June 2017
Contents
Brief
Velarde correlation is ...
Math & Physics
where:
A0 = 1.8653e-4
A1 = 1.672608
A2 = 0.929870
A3 = 0.247235
A4 = 1.056052
B0 = 0.1004
B1 = -1.00475
B2 = 0.337711
B3 = 0.132795
B4 = 0.302065
C0 = 0.9167
C1 = -1.48548
C2 = -0.164741
C3 = -0.09133
C4 = 0.047094
Discussion
Why the Velarde correlation?
Workflow
Application range
Nomenclature
= coefficients
= coefficients
= coefficients
= pressure, MPA
= bubble point pressure, MPA
= gas specific gravity, dimensionless
= temperature, °R
= oil API gravity, dimensionless
References
- ↑ Velarde, J.; Blasingame, T. A.; McCain Jr., W. D. (1997). "Correlation of Black Oil Properties At Pressures Below Bubble Point Pressure - A New Approach"
. Presented at the Annual Technical Meeting of CIM, Calgary, Alberta. Petroleum Society of Canada (PETSOC-97-93).
