Difference between revisions of "3 Phase IPR"
From wiki.pengtools.com
(→For PwfG wf b) |
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For pressures between the bubble point pressure and the flowing bottom-hole pressures: | For pressures between the bubble point pressure and the flowing bottom-hole pressures: | ||
:<math> q_t =\frac{-C+\sqrt{C^2-4B^2D}}{2B^2}\ for B \ne 0</math> | :<math> q_t =\frac{-C+\sqrt{C^2-4B^2D}}{2B^2}\ for B \ne 0</math> | ||
| − | :<math> q_t =D/C | + | :<math> q_t =D/C\ for B = 0</math> |
where: | where: | ||
| Line 25: | Line 25: | ||
:<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> | :<math> B=\frac{F_w}{0.125F_oP_bJ}</math> | ||
| + | :<math> C=2AB+\frac{80}{q_{o_{max}}-q_b}</math> | ||
| + | :<math> D=A^2-80\frac{q_b}{q_{o_{max}}-q_b}-81</math> | ||
===0 < P<sub>wf</sub> < For P<sub>wfG</sub>=== | ===0 < P<sub>wf</sub> < For P<sub>wfG</sub>=== | ||
Revision as of 08:31, 11 April 2019
Contents
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
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
