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Production EngineeringInflow Performance

Composite IPR Productivity Index Formula

Ji=q(PrPb)+Pb1.8[10.2(PwfPr)0.8(PwfPr)2]J_i=\frac{q}{(P_r-P_b)+\frac{P_b}{1.8}\left[1-0.2\left(\frac{P_{wf}}{P_r}\right)-0.8\left(\frac{P_{wf}}{P_r}\right)^2\right]}

Composite IPR Productivity Index calculates composite ipr productivity index for inflow performance workflows in production engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (q, P_b, P_wf, P_r) are known and the assumptions behind the cited inflow performance relationship match the engineering case being checked.

Assumptions

  • Input values are representative for the well, reservoir, fluid, or equipment case being evaluated.
  • The declared units match the field-unit constants used in the formula.
  • The cited formula applies to the selected petroleum engineering workflow.

Limitations

  • The calculation does not replace a full engineering model or operating procedure.
  • Accuracy depends on the source correlation, assumptions, input quality, and unit consistency.

Common mistakes

  • Mixing unit systems without converting the inputs.
  • Using default example values as field recommendations.
  • Applying the formula outside the source assumptions.

Default example

Using the default inputs, J_i equals 0.407547 STB/day/psi.

qSTB/day

600

P_bpsi

2500

P_wfpsi

1500

P_rpsi

3000

Inputs

q

STB/day

Tested Flow Rate

P_b

psi

Bubble Point Pressure

P_wf

psi

Flowing Bottom-Hole Pressure

P_r

psi

Average Reservoir Pressure

Outputs

J_i

STB/day/psi

Composite IPR Productivity Index

q

STB/day

Tested Flow Rate

Source and review

reviewed

Guo, B., Lyons, W.C. and Ghalambor, A. 2007. Petroleum Production Engineering: A Computer-Assisted Approach, Page 3/38.

Source

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