Difference between revisions of "3 Phase IPR"

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=== References ===
 
=== References ===
 
<references>
 
<references>
<ref name=Vogel>{{cite journal
+
<ref name= KermitBrown1984 >{{cite book
  |last1= Vogel |first1=J. V.
+
  |last1= Brown |first1= Kermit
  |title=Inflow Performance Relationships for Solution-Gas Drive Wells
+
  |title=The Technology of Artificial Lift Methods. Volume 4. Production Optimization of Oil and Gas Wells by Nodal System Analysis
  |journal=Journal of Petroleum Technology
+
  |publisher=PennWellBookss
  |volume=20
+
  |date=1984
  |number=SPE-1476-PA
+
  |place=Tulsa, Oklahoma
|date=1968
 
 
}}</ref>
 
}}</ref>
  

Revision as of 08:02, 11 April 2019

Three-phase Inflow Performance Relationship

3 Phase IPR Curve [1]

3 Phase IPR calculates IPR curve for oil wells producing water.

3 Phase IPR equation was derived by Petrobras based on combination of Vogel's IPR equation for oil flow and constant productivity for water flow [1].

3 Phase IPR curve is determined geometrically from those equations considering the fractional flow of oil and water [1].

Math and Physics

Oil well IPR equation

  • Darcy's law equation for the single-phase flow of incompressible liquid:
 q = \frac{kh}{141.2 B \mu}\ (\bar{P} - P_{wf}) J_D
  • Vogel's IPR two-phase flow equation (oil + gas) and it's combination with single phase liquid
  • 3 Phase IPR three-phase flow equation (oil + gas + water)

Gas well IPR equation

q_g=\frac{kh}{1422 \times 10^3\ T_R}\ (P_{\bar{P}} - P_{P_{wf}})\ J_D
  • C and n equation

IPR calculator software

Nomenclature

 B = formation volume factor, bbl/stb
 J_D = dimensionless productivity index, dimensionless
 kh = permeability times thickness, md*ft
 \bar{P} = average reservoir pressure, psia
 P_{\bar{P}} = average reservoir pseudopressure, psia2/cP
 P_{wf} = well flowing pressure, psia
 P_{P_{wf}} = average well flowing pseudopressure, psia2/cP
 q = flowing rate, stb/d
 q_g = gas rate, MMscfd
 T = temperature, °R

Greek symbols

 \mu = viscosity, cp

References

  1. 1.0 1.1 1.2 Brown, Kermit (1984). The Technology of Artificial Lift Methods. Volume 4. Production Optimization of Oil and Gas Wells by Nodal System Analysis. Tulsa, Oklahoma: PennWellBookss. 

See also

141.2 derivation
Darcy's law
JD
Production Potential