Difference between revisions of "Water formation volume factor"

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(→‎Example. Calculating water salinity from density)
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===Solution===
 
===Solution===
−
:<math> SG_w = \rho_w/62.428=1.0476</math>
+
:<math> \Delta V_{wT} = 0.027</math>
−
:<math> C_{mg/l} = 25000 (1.0476 - 1) 62.428 = 74289.32 </math>
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:<math> \Delta V_{wP} = -0.0047241</math>
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:<math> C_{ppm} = 74289.32 / 1.0476 = 70913.8</math>
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:<math> B_w = 1.022</math>
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:<math> C_W = 70913.8 / 10000 = 7.1 %</math>
 
  
 
== Nomenclature  ==
 
== Nomenclature  ==

Revision as of 06:10, 1 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

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 3161 psig and 165F?

Solution

\Delta V_{wT} = 0.027
\Delta V_{wP} = -0.0047241
B_w = 1.022

Nomenclature

C_{ppm} = water salinity / solids concentration, ppm
C_{mg/l} = water salinity / solids concentration, mg/l
C_W = weight percent solids, %
SG_w = water specific gravity, dimensionless

See also

Water solids concentration

References

  1. ↑ 1.0 1.1 1.2 McCain, W.D. Jr. (1990). Properties of Petroleum Fluids (2 ed.). Oklahoma: PennWell Corp. ISBN 978-0878143351. 
  2. ↑ McCain, W.D. Jr. (1991). "Reservoir-Fluid Property Correlations-State of the Art"Free registration required. Society of Petroleum Engineers (SPE-18571-PA). 
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