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

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 === Math & Physics ===
-:<math> z1 = -4.814074834 + 0.7480913 * log(R_{sb}) + 0.1743556 * (log(R_{sb}))^2 - 0.0206 * (log($Rsb_m3m3))^3
+:<math> z1 = -4.814074834 + 0.7480913 \times log(R_{sb}) + 0.1743556 \times (log(R_{sb}))^2 - 0.0206 \times (log(R_{sb}))^3
 </math>
-z2 = 1.27 - 0.0449 * $API + 0.000436 * pow($API, 2) - 0.00000476 * pow($API, 3);
+:<math> z2 = 1.27 - 0.0449 * $API + 0.000436 * pow($API, 2) - 0.00000476 * pow($API, 3)</math>
-z3 = 4.51 - 10.84 * $sgGas + 8.39 * pow($sgGas, 2) - 2.34 * pow($sgGas, 3);
+:<math> z3 = 4.51 - 10.84 * SG_{g} + 8.39 \times SG^2_{g} - 2.34 * SG^3_{g}</math>
-z4 = -7.2254661 + 0.043155 * $tKel - 8.5548e-5 * pow($tKel, 2) + 6.00696e-8 * pow($tKel, 3);
+:<math> z4 = -7.2254661 + 0.043155 \times T - 8.5548e-5 \times T^2 + 6.00696e-8 * T^3</math>
-z = $z1 + $z2 + $z3 + $z4;
+:<math> z = z1 + z2 + z3 + z4</math>
 lnPb = 2.498 + 0.713 * $z + 0.0075 * pow($z, 2);
 Bubblepoint_Valko_McCainSI = exp($lnPb);
-:<math> z =  1-z+
-\left(A_1
- +\frac{A_2}{T_{pr}}
- +\frac{A_3}{T^3_{pr}}
- +\frac{A_4}{T^4_{pr}}
- +\frac{A_5}{T^5_{pr}}
-\right)\  \rho_r+
-\left(A_6
- +\frac{A_7}{T_{pr}}
- +\frac{A_8}{T^2_{pr}}
-\right)\ \rho^2_r
--A_9\ \left(\frac{A_7}{T_{pr}}+\frac{A_8}{T^2_{pr}}\right)
-+A_{10}\ \left(1+A_{11}\ \rho^2_r\right)\ \frac{\rho^2_r}{T^3_{pr}}
-\ e^{(-A_{11}\ \rho^2_r)}
-</math><ref name= Dranchuk/>
 where:
-:<math>  \rho_r = \frac{0.27\ P_{pr}}{{z\ T_{pr}}}  </math>
-:<math>  P_{pr} =  \frac{P}{P_{pc}}</math>
-:<math>  T_{pr} =  \frac{T}{T_{pc}}</math>
 === Discussion  ===
-Why the [[Dranchuk correlation]]?
-{{Quote| text = It's classics! | source = www.pengtools.com}}
 === Workflow  ===
-To solve the [[Dranchuk correlation| Dranchuk]] equation use the iterative secant method.
-To find the pseudo critical properties from the gas specific gravity <ref name=Standing&Katz />:
-:<math>  P_{pc} =  ( 4.6+0.1\ SG_g-0.258\ SG^2_g ) \times 10.1325 \times 14.7</math>
-:<math>  T_{pc} =  ( 99.3+180\ SG_g-6.94\ SG^2_g ) \times 1.8 </math>
 === Application range ===
-:<math>  0.2 \le P_{pr} < 30 ; 1.0 < T_{pr} \le 3.0 </math><ref name= Dranchuk/>
-and
-:<math>  P_{pr} < 1.0 ; 0.7 < T_{pr} \le 1.0</math><ref name= Dranchuk/>
 === Nomenclature ===
 :<math> A_1..A_{11} </math> = coefficients

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

Revision as of 08:45, 13 June 2017

Contents

Brief

Math & Physics

Discussion

Workflow

Application range

Nomenclature

References