Vogel Inflow Performance Relationship Calculator
Enter maximum oil rate, flowing bottomhole pressure, and reservoir pressure. The calculator returns the predicted oil rate.
Calculation context and source notes
The Vogel IPR estimates oil well inflow rate under two-phase flow conditions using flowing bottomhole pressure and average reservoir pressure.
Use it for solution-gas-drive oil wells where the inflow curve is nonlinear below bubblepoint pressure. Calibrate maximum rate or a test-point form with representative stabilized pressure and rate data whenever available.
Solves for
q_o (STB/day)
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Formula, variables, and sourceRelated source-backed guides
Formula, variables, and default calculation
Reproducible default result
With the default values shown below, the calculation returns q_o = 700 STB/day. Defaults demonstrate the implementation; they are not recommended field values.
1000
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3000
Input definitions
q_max
STB/dayMaximum Oil Rate at Zero Flowing Bottom-Hole Pressure
P_wf
psiBottom-Hole Flowing Pressure
P_r
psiAverage Reservoir Pressure
Output definitions
q_o
Oil Flow Rate
q_max
Maximum Oil Rate at Zero Flowing Bottom-Hole Pressure
x
Vogel Pressure Ratio
P_wf
Bottom-Hole Flowing Pressure
P_r
Average Reservoir Pressure
Engineering use, assumptions, and limits
Use it for solution-gas-drive oil wells where the inflow curve is nonlinear below bubblepoint pressure. Calibrate maximum rate or a test-point form with representative stabilized pressure and rate data whenever available.
Assumptions
- The well behavior matches the empirical Vogel oil IPR relationship.
- Reservoir pressure and bottomhole flowing pressure are representative.
- The equation is applied within its intended oil-well inflow context.
Limitations
- Not a gas deliverability equation.
- Not a substitute for a calibrated nodal-analysis model when detailed system behavior is needed.
Common mistakes
- Applying Vogel directly to dry-gas wells.
- Using wellhead pressure instead of bottomhole flowing pressure.
- Forgetting that pressure ratio terms should be dimensionless.
Source and record status
Source metadata identifies the relationship implemented by the calculator. Check the cited edition, unit basis, and scope against the engineering case before operational use.
Vogel, J.V. 1968. Inflow Performance Relationships for Solution-Gas Drive Wells.
Open source reference