Difference between revisions of "3 Phase IPR"
From wiki.pengtools.com
(→For PwfG wf b) |
(→For PwfG wf b) |
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:<math> A=\frac{P_{wf}+0.125F_oP_b-F_wP_r}{0.125F_oP_b}</math> | :<math> A=\frac{P_{wf}+0.125F_oP_b-F_wP_r}{0.125F_oP_b}</math> | ||
+ | :<math> B=\frac{F_w}{0.125F_oP_bJ}</math> | ||
===0 < P<sub>wf</sub> < For P<sub>wfG</sub>=== | ===0 < P<sub>wf</sub> < For P<sub>wfG</sub>=== |
Revision as of 08:29, 11 April 2019
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
Total flow rate equations:
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:
where:
0 < Pwf < For PwfG
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