Difference between revisions of "Water formation volume factor"

Latest revision as of 08:16, 5 October 2020

Water formation volume factor

The water formation volume factor represents the change in volume of the brine as it is transported from the reservoir conditions to surface conditions^[1].

The units are reservoir barrels per surface barrel at standard conditions, res bbl/STB.

Water formation volume factor correlation in the PVT software at pengtools.com

Math and Physics

B_w = (1+\Delta V_{wP})(1+\Delta V_{wT})

^[1]

where

\Delta V_{wP} = -1.95301(10^{-9}) P T - 1.72834(10^{-13}) P^2 T - 3.58922(10^{-7}) P - 2.25341(10^{-10}) P^2

\Delta V_{wT} = -1.0001(10^{-2}) + 1.33391(10^{-4}) T + 5.50654(10^{-7}) T^2

Application range

The correlation is valid through the full range of solids concentrations, temperatures to 260F, and pressures to 5000psia^[2].

Example. Calculating water formation volume factor

Example source ^[1]

Input data

Calculate water formation volume factor at 3176 psia and 165°F?

Solution

\Delta V_{wP} = -0.0047241

\Delta V_{wT} = 0.027

B_w = 1.022

The solution is also available in the PVT software model at [The solution is available in the PVT calculator software model at www.pengtools.com

Nomenclature

B_w

= water formation volume factor, res bbl/STB

P

= pressure, psia

T

= Temperature, °F

\Delta V_{wP}

= pressure correction, res bbl/STB

\Delta V_{wT}

= temperature correction, res bbl/STB

References

↑ ^1.0 ^1.1 ^1.2 McCain, W.D. Jr. (1990). Properties of Petroleum Fluids (2 ed.). Oklahoma: PennWell Corp. ISBN 978-0878143351.
↑ McCain, W.D. Jr. (1991). "Reservoir-Fluid Property Correlations-State of the Art". Society of Petroleum Engineers (SPE-18571-PA).

[M1990-1] 1.0 ^1.1 ^1.2 McCain, W.D. Jr. (1990). Properties of Petroleum Fluids (2 ed.). Oklahoma: PennWell Corp. ISBN 978-0878143351.

[M1991-2] McCain, W.D. Jr. (1991). "Reservoir-Fluid Property Correlations-State of the Art". Society of Petroleum Engineers (SPE-18571-PA).

[1]

[2]

@@ Line 1: / Line 1: @@
 __TOC__
 ==Water formation volume factor==
-Handy equation to get the formation water (brine) salinity from the density at standard conditions obtained by the data regression with a stage line.
+The water formation volume factor represents the change in volume of the brine as it is transported from the reservoir conditions to surface conditions<ref name= M1990/>.
-[[File:Water salinity from density equation.png|thumb|right|600px|Water salinity from density equation <ref name= M1990/>]]
+The units are reservoir barrels per surface barrel at standard conditions, res bbl/STB.
+[[File:Water formation volume factor.png|thumb|right|400px|Water formation volume factor correlation in the PVT software at pengtools.com]]
 ==Math and Physics==
-:<math> C_{mg/l} = 25000 \times (SG_w - 1) \times 62.428 </math>
+:<math> B_w = (1+\Delta V_{wP})(1+\Delta V_{wT})</math><ref name= M1990/>
-==Example. Calculating water salinity from density==
+where
+:<math> \Delta V_{wP} = -1.95301(10^{-9}) P T - 1.72834(10^{-13}) P^2 T - 3.58922(10^{-7}) P - 2.25341(10^{-10}) P^2</math>
+:<math> \Delta V_{wT} = -1.0001(10^{-2}) + 1.33391(10^{-4}) T  + 5.50654(10^{-7}) T^2</math>
+== Application range ==
+The correlation is valid through the full range of solids concentrations, temperatures to 260F, and pressures to 5000psia<ref name= M1991/>.
+==Example. Calculating water formation volume factor==
 Example source <ref name= M1990/>
 ===Input data===
-:<math>\rho_w</math> = 65.4 lbm/ft3
-Calculate water salinity in weight percent solids?
+Calculate water formation volume factor at 3176 psia and 165°F?
 ===Solution===
-:<math> SG_w = \rho_w/62.428=1.0476</math>
+:<math> \Delta V_{wP} = -0.0047241</math>
-:<math> C_{mg/l} = 25000 (1.0476 - 1) 62.428 = 74289.32 </math>
+:<math> \Delta V_{wT} = 0.027</math>
-:<math> C_{ppm} = 74289.32 / 1.0476 = 70913.8</math>
+:<math> B_w = 1.022</math>
-:<math> C_W = 70913.8 / 10000 = 7.1 %</math>
+The solution is also available in the PVT software model at [The solution is available in the PVT calculator software model at [https://www.pengtools.com/pvtCalculator?paramsToken=d0f0c9c587152cefc27d1217e091ace0 www.pengtools.com]
 == Nomenclature  ==
-:<math> C_{ppm} </math> = water salinity / solids concentration, ppm
+:<math> B_w </math> = water formation volume factor, res bbl/STB
-:<math> C_{mg/l} </math> = water salinity / solids concentration, mg/l
+:<math> P </math> = pressure, psia
-:<math> C_W </math> = weight percent solids, %
+:<math> T </math> = Temperature, °F
-:<math> SG_w </math> = water specific gravity, dimensionless
+:<math> \Delta V_{wP} </math> = pressure correction, res bbl/STB
+:<math> \Delta V_{wT} </math> = temperature correction, res bbl/STB
 ==See also==
+:[[Water bubble point pressure]]<BR/>
+:[[Water compressibility]]<BR/>
+:[[Water density]]<BR/>
+:[[Water formation volume factor]]<BR/>
+:[[Water salinity from density equation]]<BR/>
 :[[Water solids concentration]]<BR/>
+:[[Water viscosity]]<BR/>
+:[[Gas/Water Interfacial Tension]]
 == References ==
 <references>
@@ Line 43: / Line 60: @@
   |ISBN=978-0878143351
 }}</ref>
+<ref name=M1991>{{cite journal
+ |last1=McCain|first1=W.D. Jr.
+ |title=Reservoir-Fluid Property Correlations-State of the Art
+ |journal=Society of Petroleum Engineers
+ |number=SPE-18571-PA
+ |date=1991
+ |url=https://www.onepetro.org/journal-paper/SPE-18571-PA
+ |url-access=registration
+}}</ref>
 }}</ref>
@@ Line 51: / Line 78: @@
 |titlemode= replace
 |keywords=Water salinity, TDS, brine salinity, formation water salinity, Water formation volume factor
-|description=Water formation volume factor
+|description=The water formation volume factor represents the change in volume of the brine as it is transported from the reservoir conditions to surface conditions
 }}
 [[Category:PVT]]
 [[Category:pengtools]]

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