Difference between revisions of "3 Phase IPR"

Revision as of 08:18, 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 pressures between reservoir pressure and bubble point pressure

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

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

References

See also

141.2 derivation

Darcy's law

JD

Production Potential