Dranchuk correlation - Revision history

MishaT: /* Math & Physics */

2023-11-23T18:29:52Z

‎Math & Physics

2020-10-05T08:57:00Z

2020-10-05T08:48:51Z

2020-10-05T08:47:51Z

‎Math & Physics

2018-12-06T05:51:34Z

2017-11-20T08:32:52Z

‎Brief

2017-11-20T08:32:37Z

‎Brief

2017-06-30T09:49:18Z

2017-05-12T04:29:32Z

‎Workflow

2017-05-12T04:29:00Z

‎Workflow

@@ Line 6: / Line 6: @@
 == Math & Physics ==
-:<math> z =  1-z+
+:<math> z =  1 +
 \left(A_1
   +\frac{A_2}{T_{pr}}

@@ Line 1: / Line 1: @@
 __TOC__
-=== Dranchuk gas compressibility factor correlation ===
+== Dranchuk gas compressibility factor correlation ==
 [[Dranchuk correlation]] is the fitting equation of the classic '''Standing and Katz''' <ref name=Standing&Katz /> [[gas compressibility factor]] correlation.
-=== Math & Physics ===
+== Math & Physics ==
 :<math> z =  1-z+
 \left(A_1
@@ Line 43: / Line 43: @@
 A11 = 0.7210<br/>
-=== Discussion  ===
+== Discussion  ==
 Why the [[Dranchuk correlation]]?
 {{Quote| text = It's classics! | source = www.pengtools.com}}
-=== Workflow  ===
+== Workflow  ==
 To solve the [[Dranchuk correlation| Dranchuk]] equation use the iterative secant method.
@@ Line 57: / Line 57: @@
 :<math>  T_{pc} =  ( 99.3+180\ SG_g-6.94\ SG^2_g ) \times 1.8 </math>
-=== Application range ===
+== Application range ==
 :<math>  0.2 \le P_{pr} < 30 ; 1.0 < T_{pr} \le 3.0 </math><ref name= Dranchuk/>
@@ Line 65: / Line 65: @@
 :<math>  P_{pr} < 1.0 ; 0.7 < T_{pr} \le 1.0</math><ref name= Dranchuk/>
-=== Nomenclature ===
+== Nomenclature ==
 :<math> A_1..A_{11} </math> = coefficients
 :<math> \rho_r </math> = reduced density, dimensionless
@@ Line 77: / Line 77: @@
 :<math> z </math> = gas compressibility factor, dimensionless
-=== References ===
+== References ==
 <references>

@@ Line 1: / Line 1: @@
 __TOC__
-=== Brief ===
+=== Dranchuk gas compressibility factor correlation ===
 [[Dranchuk correlation]] is the fitting equation of the classic '''Standing and Katz''' <ref name=Standing&Katz /> [[gas compressibility factor]] correlation.
@@ Line 23: / Line 23: @@
 where:
 A1 = 0.3265<br/>
 A2 = –1.0700<br/>
@@ Line 34: / Line 42: @@
 A10 = 0.6134<br/>
 A11 = 0.7210<br/>
 === Discussion  ===
@@ Line 110: / Line 112: @@
 {{#seo:
-|title=Dranchuk correlation
+|title=Dranchuk gas compressibility factor correlation
 |titlemode= replace
 |keywords=Dranchuk correlation
-|description=Dranchuk correlation is the fitting equation of the classic '''Standing and Katz''' gas compressibility factor correlation.
+|description=Dranchuk correlation is the fitting equation of the classic Standing and Katz gas compressibility factor correlation.
 }}

@@ Line 6: / Line 6: @@
 === Math & Physics ===
 :<math> z =  1-z+
 \left(A_1
@@ Line 35: / Line 23: @@
 where:
 :<math>  \rho_r = \frac{0.27\ P_{pr}}{{z\ T_{pr}}}  </math>

← Older revision		Revision as of 05:51, 6 December 2018
Line 108:		Line 108:
	[[Category:pengtools]]		[[Category:pengtools]]
	[[Category:PVT]]		[[Category:PVT]]
		+
		+
		+	{{#seo:
		+	\|title=Dranchuk correlation
		+	\|titlemode= replace
		+	\|keywords=Dranchuk correlation
		+	\|description=Dranchuk correlation is the fitting equation of the classic '''Standing and Katz''' gas compressibility factor correlation.
		+	}}

@@ Line 3: / Line 3: @@
 === Brief ===
-[[Dranchuk correlation]] is the fitting equation of the classic '''Standing and Katz''' <ref name=Standing&Katz /> gas compressibility factor correlation.
+[[Dranchuk correlation]] is the fitting equation of the classic '''Standing and Katz''' <ref name=Standing&Katz /> [gas compressibility factor]] correlation.
 === Math & Physics ===

@@ Line 29: / Line 29: @@
   +\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_9\ \left(\frac{A_7}{T_{pr}}+\frac{A_8}{T^2_{pr}}\right) \rho^5_r
 +A_{10}\ \left(1+A_{11}\ \rho^2_r\right)\ \frac{\rho^2_r}{T^3_{pr}}
 \ e^{(-A_{11}\ \rho^2_r)}

@@ Line 52: / Line 52: @@
 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>  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</math>
+:<math>  T_{pc} =  ( 99.3+180\ SG_g-6.94\ SG^2_g ) \times 1.8 </math>
 === Application range ===