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

Revision as of 08:33, 28 September 2020

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

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

API_{oil}

= oil specific gravity, °R

A_0..A_{4}

= coefficients

B_0..B_{4}

= coefficients

C_0..C_{4}

= coefficients

P

= pressure, MPa

P_b

= bubble point pressure, MPa

SG_g

= gas specific gravity, dimensionless

SG_o

= oil specific gravity, dimensionless

T

= temperature, °K

↑ 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).
↑ ^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.

@@ Line 41: / Line 41: @@
 == Nomenclature ==
 :<math> API_{oil} </math> = oil specific gravity, °R
-:<math> A_1..A_{4} </math> = coefficients
+:<math> A_0..A_{4} </math> = coefficients
-:<math> B_1..B_{4} </math> = coefficients
+:<math> B_0..B_{4} </math> = coefficients
-:<math> C_1..C_{4} </math> = coefficients
+:<math> C_0..C_{4} </math> = coefficients
 :<math> P </math> = pressure, MPa
 :<math> P_b </math> = bubble point pressure, MPa