McCain Oil density correlation - Revision history

MishaT: /* Math & Physics */

2023-11-23T15:41:36Z

‎Math & Physics

2020-09-28T07:16:03Z

‎Math & Physics

2020-09-28T07:14:50Z

‎References

2020-09-28T07:13:48Z

‎Example. Calculation of the solution gas oil ratio

2020-09-28T07:13:06Z

‎Solution

2020-09-28T07:12:10Z

‎Input data

2020-09-28T07:11:07Z

2020-09-28T07:09:47Z

2020-09-28T07:09:13Z

‎Nomenclature

2020-09-28T07:07:59Z

‎Nomenclature

@@ Line 34: / Line 34: @@
 where
-:<math>\triangle \rho_{P} = \left ( 0.617 + 16.181 \times 10^{-0.0425\ \rho_{po}} \right) \frac{P}{1000} - 0.01 \left ( 0.299 + 263 \times 10^{-0.0603\ \rho_{po}}\right)\ \left (\frac{P}{1000}\right)^2 </math>
+:<math>\triangle \rho_{P} = \left ( 0.167 + 16.181 \times 10^{-0.0425\ \rho_{po}} \right) \frac{P}{1000} - 0.01 \left ( 0.299 + 263 \times 10^{-0.0603\ \rho_{po}}\right)\ \left (\frac{P}{1000}\right)^2 </math>
 Adjust density to the temperature of interest:

@@ Line 23: / Line 23: @@
 :<math>a_5 =- 0.0356888</math>
-Next pseudoliquid density:
+Next pseudoliquid density<ref name= M1990/>:
-:<math>\rho_{po} = \frac{R_s\ SG_g + 4,600\ SG_o}{73.71+R_s\ SG_g\ / \rho_a}</math><ref name= M1990/>
+:<math>\rho_{po} = \frac{R_s\ SG_g + 4,600\ SG_o}{73.71+R_s\ SG_g\ / \rho_a}</math>
 Iterate until pseudoliquid densities are equal.

@@ Line 120: / Line 120: @@
   |ISBN=978-0878143351
 }}</ref>
+<ref name=DW>
 </references>

@@ Line 48: / Line 48: @@
 :<math>\rho_{o} = \rho_{b}\ e^{c_o\ (P - P_b)} </math>
-== Example. Calculation of the solution gas oil ratio ==
+== Example. Calculation of the oil density ==
 Example source <ref name=DW/>
 ===Input data===
@@ Line 59: / Line 59: @@
 ===Solution===
-:<math>/rho_o</math> = 749.645 kg/m3
+:<math>\rho_o</math> = 749.645 kg/m3
-The solution is available in the online PVT calculator software at [https://www.pengtools.com/pvtCalculator?paramsToken=de71e4cc29541ab2117e07408864410c www.pengtools.com]
+The solution is available in the online PVT calculator software model at [https://www.pengtools.com/pvtCalculator?paramsToken=de71e4cc29541ab2117e07408864410c www.pengtools.com]
 == Application range ==

@@ Line 59: / Line 59: @@
 ===Solution===
-Pr = 0.8493<br/>
+:<math>/rho_o</math> = 749.645 kg/m3
 The solution is available in the online PVT calculator software at [https://www.pengtools.com/pvtCalculator?paramsToken=de71e4cc29541ab2117e07408864410c www.pengtools.com]

@@ Line 51: / Line 51: @@
 Example source <ref name=DW/>
 ===Input data===
-:<math>R_s</math> = 60 sm3/sm3
+:<math>R_s</math> = 53.24 sm3/sm3
 :<math>SG_o</math> = 0.85 or 35 API
 :<math>SG_g</math> = 0.75
 :<math>T</math> = 90C or 363K
-:<math>P_b</math> = 11.65 MPa
+:<math>P</math> = 10 MPa
-Calculate solution gas oil ratio at p = 10 MPa?
+Calculate oil density at p = 10 MPa?
 ===Solution===

← Older revision		Revision as of 07:11, 28 September 2020
Line 47:		Line 47:

	:<math>\rho_{o} = \rho_{b}\ e^{c_o\ (P - P_b)} </math>		:<math>\rho_{o} = \rho_{b}\ e^{c_o\ (P - P_b)} </math>
		+
		+	== Example. Calculation of the solution gas oil ratio ==
		+	Example source <ref name=DW/>
		+	===Input data===
		+	:<math>R_s</math> = 60 sm3/sm3
		+	:<math>SG_o</math> = 0.85 or 35 API
		+	:<math>SG_g</math> = 0.75
		+	:<math>T</math> = 90C or 363K
		+	:<math>P_b</math> = 11.65 MPa
		+	Calculate solution gas oil ratio at p = 10 MPa?
		+
		+	===Solution===
		+	Pr = 0.8493<br/>
		+	a1=0.1545<br/>
		+	a2=1.8812<br/>
		+	a3=0.5431<br/>
		+	Rsr=0.8874<br/>
		+	Rs=53.24 sm3/sm3<br/>
		+
		+	The solution is available in the online PVT calculator software at [https://www.pengtools.com/pvtCalculator?paramsToken=de71e4cc29541ab2117e07408864410c www.pengtools.com]

	== Application range ==		== Application range ==

@@ Line 5: / Line 5: @@
 [[McCain Oil density correlation|McCain correlation]] is an empirical correlation for the '''oil density''' published in '''1995''' <ref name= M1995/>.
-[[File:McCain Oil density.png|thumb|right|400px|https://www.pengtools.com/pvtCalculator?paramsToken=ae54207cce4f303a836f54df9d995152|McCain oil density correlation in the PVT Software]]
+[[File:McCain Oil density.png|thumb|right|400px|https://www.pengtools.com/pvtCalculator?paramsToken=de71e4cc29541ab2117e07408864410c|McCain oil density correlation in the PVT Software]]
 == Math & Physics ==

@@ Line 65: / Line 65: @@
 :<math> R_s </math> =  solution gas-oil ratio, scf/stb
 :<math> SG_g </math> = gas specific gravity, dimensionless
 :<math> SG_o </math> = oil specific gravity, dimensionless
 :<math> T </math> = temperature, °F

@@ Line 69: / Line 69: @@
 :<math> \rho_{a} </math> = apparent density of surface gas if it were a liquid, lb<sub>m</sub>/ft<sup>3</sup>
-:<math> \rho_b </math> = liquid density at the bubble point pressure, lb<sub>m</sub>/ft<sup>3</sup>
+:<math> \rho_{ob} </math> = liquid density at the bubble point pressure, lb<sub>m</sub>/ft<sup>3</sup>
 :<math> \rho_{bs} </math> = liquid density at reservoir pressure and 60°F, lb<sub>m</sub>/ft<sup>3</sup>
 :<math> \rho_o </math> = oil density, lb<sub>m</sub>/ft<sup>3</sup>