Difference between revisions of "Vogel's IPR"
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[[File:Constant PI and Vogel's IPR.png|300px| Combination Constant PI and Vogel's IPR]]<ref name=KermitBrown1984 /> | [[File:Constant PI and Vogel's IPR.png|300px| Combination Constant PI and Vogel's IPR]]<ref name=KermitBrown1984 /> | ||
| − | :<math> q_{ob} = J (\bar{P} - P_b) </math><ref name=KermitBrown1984 /> | + | :<math> q_{ob} = J (\bar{P} - P_b) </math><ref name=KermitBrown1984 /> oil flow rate at the bubble point |
| − | :<math> q_{o_{max}} = q_{ob} + \frac{J P_b}{1.8} </math> <ref name= Neely /> | + | :<math> q_{o_{max}} = q_{ob} + \frac{J P_b}{1.8} </math> <ref name= Neely /> maximum oil rate, AOF |
:<math> q_o = q_{ob} + (q_{o_{max}} - q_{ob}) \left (1-0.2 \frac{P_{wf}}{\bar{P}} - 0.8 \left ( \frac{P_{wf}}{\bar{P}} \right )^2 \right )</math><ref name=KermitBrown1984 /> | :<math> q_o = q_{ob} + (q_{o_{max}} - q_{ob}) \left (1-0.2 \frac{P_{wf}}{\bar{P}} - 0.8 \left ( \frac{P_{wf}}{\bar{P}} \right )^2 \right )</math><ref name=KermitBrown1984 /> | ||
Revision as of 08:49, 10 April 2019
Contents
Vogel's Inflow Performance Relationship
Vogel's IPR[1]
Vogel's IPR is an empirical two-phase (oil + gas) inflow performance relationship correlation published in 1968 [1].
Vogel's IPR is based on computer simulations to several solution gas drive reservoirs for different fluid and reservoir relative permeability properties.
Vogel's IPR is the default IPR correlation to calculate oil wells performance in the PQplot nodal analysis software which is available online at petroleum engineering site www.pengtools.com.
Math and Physics
Vogel's IPR equation
Single phase liquid and Vogel's IPR
Combination Constant PI (Darcy's law) and Vogel's IPR
[2] oil flow rate at the bubble point
[3] maximum oil rate, AOF
Why Vogel's IPR?
Vogel's IPR solution has been found to be very good and is widely used in prediction of IPR curves.— Kermit Brown et al[2]
Vogel's IPR calculation workflow
1. Calculate Productivity Index, J:
- 1.1 J from the flow test:
- Above the bubble point:
- Below the bubble point:
- Above the bubble point:
- 1.2 kh and JD
- 1.3 kh and skin
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
- ↑ 1.0 1.1 Vogel, J. V. (1968). "Inflow Performance Relationships for Solution-Gas Drive Wells". Journal of Petroleum Technology. 20 (SPE-1476-PA).
- ↑ 2.0 2.1 2.2 2.3 2.4 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.
- ↑ Neely, A.B. (1976). Use of IPR Curves. Houston, Texas: Shell Oil Co.
