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Production EngineeringInflow Performance

Productivity Index for a Gas Well Formula

Jg=kh1422T[0.5ln(4A1.781CArw2)+S]J_g=\frac{kh}{1422T\left[0.5\ln\left(\frac{4A}{1.781C_Ar_w^2}\right)+S\right]}

Productivity Index for a Gas Well calculates gas-well productivity index for inflow performance workflows in production engineering.

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How engineers use this formula

Use this formula when the listed inputs (k, h, T, A, C_A, r_w, S) 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_g equals 0.000188 MSCF/day/psi2/cP.

kmD

50

hft

40

TdegR

600

Aft2

4356000

C_Adimensionless

31.6

r_wft

0.328

Sdimensionless

5

Inputs

k

mD

Permeability

h

ft

Pay Thickness

T

degR

Reservoir Temperature

A

ft2

Drainage Area

C_A

dimensionless

Shape Factor

r_w

ft

Wellbore Radius

S

dimensionless

Skin Factor

Outputs

J_g

MSCF/day/psi2/cP

Gas-Well Productivity Index

k

mD

Permeability

h

ft

Pay Thickness

Source and review

reviewed

Ahmed, T. and McKinney, P.D. 2005. Advanced Reservoir Engineering. Gulf Publishing / Elsevier, Chapter 3, Page 188.

Source

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