Difference between revisions of "Vogel's IPR"
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:<math> J = \frac{q_o}{\bar{P}-P_b + \frac{P-b}{1.8} \left (1-0.2 \frac{P_{wf}}{\bar{P}} - 0.8 \left ( \frac{P_{wf}}{\bar{P}} \right )^2 \right ) } </math><ref name=KermitBrown1984 /> , productivity index for test below the bubble point pressure. | :<math> J = \frac{q_o}{\bar{P}-P_b + \frac{P-b}{1.8} \left (1-0.2 \frac{P_{wf}}{\bar{P}} - 0.8 \left ( \frac{P_{wf}}{\bar{P}} \right )^2 \right ) } </math><ref name=KermitBrown1984 /> , productivity index for test below the bubble point pressure. | ||
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==[[Vogel's IPR]] calculation workflow== | ==[[Vogel's IPR]] calculation workflow== | ||
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===2. For each P<sub>wf</sub> from Reservoir Pressure to 0:=== | ===2. For each P<sub>wf</sub> from Reservoir Pressure to 0:=== | ||
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| + | == Why [[Vogel's IPR]]? == | ||
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| + | {{Quote| text = Vogel's IPR solution has been found to be very good and is widely used in prediction of IPR curves. | source = Kermit Brown et al<ref name=KermitBrown1984 />}} | ||
== Nomenclature == | == Nomenclature == | ||
Revision as of 09:09, 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 or absolute open flow (AOF).
[2] , oil rate at given flowing bottomhole pressure.
[2] , productivity index for test below the bubble point pressure.
Vogel's IPR calculation workflow
1. Calculate Productivity Index, J:
- 1.1 J from the flow test:
- Test is above the bubble point:
- Test is below the bubble point:
- 1.2 J from kh and JD:
-
- 1.3 J from kh and skin:
-
2. For each Pwf from Reservoir Pressure to 0:
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]
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.
