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

@@ Line 11: / Line 11: @@
 where:
-:<math> z1 = -4.814074834 + 0.7480913 log(R_{sb}) + 0.1743556 log^2(R_{sb}) - 0.0206 log^3(R_{sb})</math>
+A0 = -4.814074834<br/>
+A1 = 0.7480913
+A2 = 0.1743556<br/>
+A3 = 0.0206<br/>
+:<math> \alpha1 =  A_0+ A_1 log(R_{sb}) + A_2 log^2(R_{sb}) - A_3 log^3(R_{sb})</math>
-:<math> z2 = 1.27 - 0.0449  Y_{oil_API}+ 0.000436  Y^2_{oil_API}  - 0.00000476  Y^3_{oil_API}</math>
+B0 = 1.27<br/>
+B1 = 0.0449<br/>
+B2 = 4.36e-4<br/>
+B3 = 4.76e-6<br/>
+:<math> \alpha2 = B_0 - B_1  Y_{oil_API}+ B_2 Y^2_{oil_API}  - B_3 Y^3_{oil_API}</math>
-:<math> z3 = 4.51 - 10.84 \times SG_{g} + 8.39 \times SG^2_{g} - 2.34 \times SG^3_{g}</math>
+C0 = 4.51<br/>
+C1 = 10.84<br/>
+C2 = 8.39<br/>
+C3 = 2.34<br/>
+:<math> \alpha3 = C_0 - C_1 SG_{g} + C_2 SG^2_{g} - C_3 SG^3_{g}</math>
-:<math> z4 = -7.2254661 + 0.043155 \times T - 8.5548e-5 \times T^2 + 6.00696e-8 \times T^3</math>
+D0 = -7.2254661</br>
+D1 = 0.043155</br>
+D2 = 8.55e-5</br>
+D3 = 6.00696e-8</br>
+:<math> \alpha4 = -7.2254661 + 0.043155 T - 8.5548e-5 T^2 + 6.00696e-8 T^3</math>
-:<math> z = z1 + z2 + z3 + z4</math>
+:<math> \alpha = \alpha1 + \alpha2 + \alpha3 + \alpha4</math>
 === Discussion  ===
@@ Line 25: / Line 41: @@
 === Application range ===
 === Nomenclature ===
+:<math> A_1..A_{4} </math> = coefficients
+:<math> B_1..B_{4} </math> = coefficients
+:<math> C_1..C_{4} </math> = coefficients
+:<math> D_1..D_{4} </math> = coefficients
 :<math> P </math> = pressure, MPA
 :<math> P_{bp} </math> = bubble point pressure, MPA

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

Revision as of 12:55, 13 June 2017

Contents

Brief

Math & Physics

Discussion

Workflow

Application range

Nomenclature

References