Difference between revisions of "Water compressibility"

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==Math and Physics==
 
==Math and Physics==
  
:<math> B_w = (1+\Delta V_{wP})(1+\Delta V_{wT})</math><ref name= M1990/>
+
At pressures above bubble point:
  
where
+
:<math> c_w = 1 / (7.033 P + 0.5415 C_{mg/l} - 537 T + 403300) </math><ref name= M1991/>
 
 
:<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 ==
 
== Application range ==

Revision as of 05:43, 2 October 2020

Water compressibility

The formation water (brine) isothermal compressibility data is published in 1990 by McCain[1].

Water compressibility data [1]

Math and Physics

At pressures above bubble point:

 c_w = 1 / (7.033 P + 0.5415 C_{mg/l} - 537 T + 403300) [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

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

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. 2.0 2.1 McCain, W.D. Jr. (1991). "Reservoir-Fluid Property Correlations-State of the Art"Free registration required. Society of Petroleum Engineers (SPE-18571-PA).