Difference between revisions of "3 Phase IPR"

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==Math and Physics==
 
==Math and Physics==
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===For pressures between reservoir pressure and bubble point pressure===
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===For P<sub>b</sub> < P<sub>wf</sub> < P<sub>r</sub>===
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For pressures between reservoir pressure and bubble point pressure
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===For P<sub>wfG</sub> < P<sub>wf</sub> < P<sub>b</sub>===
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For pressures between the bubble point pressure and the flowing bottom-hole pressures
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===0 < P<sub>wf</sub> < For P<sub>wfG</sub>===
  
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===For pressures between the bubble point pressure and the flowing bottom-hole pressures===
 
  
 
===Oil well IPR equation===
 
===Oil well IPR equation===

Revision as of 08:20, 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

For Pb < Pwf < Pr

For pressures between reservoir pressure and bubble point pressure

For PwfG < Pwf < Pb

For pressures between the bubble point pressure and the flowing bottom-hole pressures

0 < Pwf < For PwfG

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
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