Difference between revisions of "Velarde solution gas oil ratio correlation"

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__TOC__
 
__TOC__
  
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=== Brief ===
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== Velarde solution gas oil ratio correlation ==
  
 
[[Velarde correlation]] is an empirical correlation for the '''solution gas oil ratio''' published in '''1997'''. <ref name=Velarde />
 
[[Velarde correlation]] is an empirical correlation for the '''solution gas oil ratio''' published in '''1997'''. <ref name=Velarde />
  
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=== Math & Physics ===
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== Math & Physics ==
 
:<math>R_s = \frac{R_{sr}}{R_{sb}}</math>
 
:<math>R_s = \frac{R_{sr}}{R_{sb}}</math>
  
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:<math>P_r = \frac{P-0.101}{P_b}</math>
 
:<math>P_r = \frac{P-0.101}{P_b}</math>
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 +
:<math> \alpha1 = A_0 \times SG^{A_1}_g \times Y^{A_2}_{oil_API} \times {(1.8 T- 459.67)}^{A_3} \times P^{A_3}_b </math>
  
 
A0 = 1.8653e-4<ref name= PracticalPVT/><br/>
 
A0 = 1.8653e-4<ref name= PracticalPVT/><br/>
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A4 = 1.056052<br/>
 
A4 = 1.056052<br/>
  
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:<math> \alpha1 = A_0 \times SG^{A_1}_g \times Y^{A_2}_{oil_API} \times {(1.8 T- 459.67)}^{A_3} \times P^{A_3}_b </math>
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:<math>\alpha2 = B_0 \times SG^{B_1}_g \times Y^{B_2}_{oil_API} \times {(1.8 T - 459.67)}^{B_3} \times P^{B_4}_b</math>
  
 
B0 = 0.1004<ref name= PracticalPVT/><br/>
 
B0 = 0.1004<ref name= PracticalPVT/><br/>
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B4 = 0.302065<br/>
 
B4 = 0.302065<br/>
  
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:<math>\alpha2 = B_0 \times SG^{B_1}_g \times Y^{B_2}_{oil_API} \times {(1.8 T - 459.67)}^{B_3} \times P^{B_4}_b</math>
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:<math>\alpha3 = C_0 \times SG^{C_1}_g \times Y^{C_2}_{oil_API} \times {(1.8 T - 459.67)}^{C_3} \times P^{C_4}_b</math>
  
 
C0 = 0.9167<ref name= PracticalPVT/><br/>
 
C0 = 0.9167<ref name= PracticalPVT/><br/>
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C4 = 0.047094<br/>
 
C4 = 0.047094<br/>
  
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:<math>\alpha3 = C_0 \times SG^{C_1}_g \times Y^{C_2}_{oil_API} \times {(1.8 T - 459.67)}^{C_3} \times P^{C_4}_b</math>
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== Application range ==
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== Nomenclature ==
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=== Discussion  ===
 
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Why the [[Velarde correlation]]?
 
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=== Application range ===  
 
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=== Nomenclature ===
 
 
:<math> A_1..A_{4} </math> = coefficients
 
:<math> A_1..A_{4} </math> = coefficients
 
:<math> B_1..B_{4} </math> = coefficients
 
:<math> B_1..B_{4} </math> = coefficients

Revision as of 08:30, 28 September 2020

Velarde solution gas oil ratio correlation

Velarde correlation is an empirical correlation for the solution gas oil ratio published in 1997. [1]

Math & Physics

R_s = \frac{R_{sr}}{R_{sb}}
R_{sr} = \alpha1 \times P^{\alpha2}_r + (1 - \alpha1) \times P^{\alpha3}_r

where:

P_r = \frac{P-0.101}{P_b}
\alpha1 = A_0 \times SG^{A_1}_g \times Y^{A_2}_{oil_API} \times {(1.8 T- 459.67)}^{A_3} \times P^{A_3}_b

A0 = 1.8653e-4[2]
A1 = 1.672608
A2 = 0.929870
A3 = 0.247235
A4 = 1.056052

\alpha2 = B_0 \times SG^{B_1}_g \times Y^{B_2}_{oil_API} \times {(1.8 T - 459.67)}^{B_3} \times P^{B_4}_b

B0 = 0.1004[2]
B1 = -1.00475
B2 = 0.337711
B3 = 0.132795
B4 = 0.302065

\alpha3 = C_0 \times SG^{C_1}_g \times Y^{C_2}_{oil_API} \times {(1.8 T - 459.67)}^{C_3} \times P^{C_4}_b

C0 = 0.9167[2]
C1 = -1.48548
C2 = -0.164741
C3 = -0.09133
C4 = 0.047094

Application range

Nomenclature

A_1..A_{4} = coefficients
B_1..B_{4} = coefficients
C_1..C_{4} = coefficients
P = pressure, MPA
P_b = bubble point pressure, MPA
SG_g = gas specific gravity, dimensionless
T = temperature, °R
Y_{oil_API} = oil API gravity, dimensionless


References

  1. ↑ Velarde, J.; Blasingame, T. A.; McCain Jr., W. D. (1997). "Correlation of Black Oil Properties At Pressures Below Bubble Point Pressure - A New Approach"Free registration required. Presented at the Annual Technical Meeting of CIM, Calgary, Alberta. Petroleum Society of Canada (PETSOC-97-93). 
  2. ↑ 2.0 2.1 2.2 Afanasyev, Vitaliy; Moskvin, Igor; Wolcott, Ken; McCain, W.D. (2004). "Practical PVT Calculations for black oils". YUKOS publication. 

Cite error: <ref> tag with name "DW" defined in <references> is not used in prior text.


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