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IPR Calculator - Productivity Index and Inflow Rate

J=qoPrPwfJ = \frac{q_o}{P_r - P_{wf}}

Enter flow rate, reservoir pressure, and flowing bottomhole pressure. The calculator returns productivity index or related IPR values.

Tabular solver

Inputs

Defaults provide a quick field-unit example for the equation.

3 variables

Your input values and calculation stay in this browser.

Engineering reference summary

Calculation context and source notes

Productivity index relates stabilized liquid production rate to reservoir-to-wellbore pressure drawdown and defines a straight-line inflow-performance relationship for a producing well.

Use it for quick inflow estimates when the well response can be approximated by a linear productivity-index model. Establish PI from compatible stabilized rate and bottomhole-pressure data before forecasting another drawdown.

Solves for

J (STB/day/psi)

Formula reference

Formula, variables, and default calculation

J=qoPrPwfJ = \frac{q_o}{P_r - P_{wf}}

Reproducible default result

With the default values shown below, the calculation returns J = 1 STB/day/psi. Defaults demonstrate the implementation; they are not recommended field values.

q_oSTB/day

500

P_rpsi

3000

P_wfpsi

2500

Input definitions

q_o

STB/day

Oil Flow Rate

P_r

psi

Average Reservoir Pressure

P_wf

psi

Bottom-Hole Flowing Pressure

Output definitions

J

STB/day/psi

Productivity Index

q_o

STB/day

Oil Flow Rate

P_r

psi

Average Reservoir Pressure

P_wf

psi

Bottom-Hole Flowing Pressure

Engineering use, assumptions, and limits

Use it for quick inflow estimates when the well response can be approximated by a linear productivity-index model. Establish PI from compatible stabilized rate and bottomhole-pressure data before forecasting another drawdown.

Assumptions

  • The pressure-rate relationship is linear over the evaluated range.
  • Reservoir and flowing bottomhole pressures are representative.
  • Rate and pressure units match the formula constants used.

Limitations

  • May underrepresent nonlinear two-phase behavior.
  • Does not include tubing, choke, artificial lift, or surface constraints.

Common mistakes

  • Using wellhead pressure instead of flowing bottomhole pressure.
  • Applying a straight-line PI model to strongly nonlinear inflow.
  • Mixing liquid-rate units.

Frequently asked questions

What inputs does the Productivity Index and Straight-Line IPR calculator need?

The calculation uses Oil Flow Rate (q_o), Average Reservoir Pressure (P_r), Bottom-Hole Flowing Pressure (P_wf). Enter values on the units shown beside each field.

What result does this calculator return?

The primary result is productivity index in STB/day/psi. The formula section shows the declared relationship, variables, and a reproducible default calculation.

What should I check before using the result?

Confirm the unit basis, source applicability, and input quality. May underrepresent nonlinear two-phase behavior. Using wellhead pressure instead of flowing bottomhole pressure.

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.

reviewedguidance published

Petroleum Office. Well Productivity Index, linear inflow relationship and flow-regime definitions.

Open source reference

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