3 Phase IPR
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Contents
Three-phase Inflow Performance Relationship
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:
- 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
- Darcy's law gas inflow equation:
- C and n equation
IPR calculator software
- PQplot nodal analysis software is used to calculate the IPR curves. PQplot is available online at www.pengtools.com.
- Excel
- other
Nomenclature
- = formation volume factor, bbl/stb
- = dimensionless productivity index, dimensionless
- = permeability times thickness, md*ft
- = average reservoir pressure, psia
- = average reservoir pseudopressure, psia2/cP
- = well flowing pressure, psia
- = average well flowing pseudopressure, psia2/cP
- = flowing rate, stb/d
- = gas rate, MMscfd
- = temperature, °R
Greek symbols
- = viscosity, cp