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Reservoir EngineeringWell Performance

Gas Flow Rate into the Wellbore Formula

Q=0.007kΔPLuln(Re/Rw)1440Q=\frac{0.007k\Delta PL}{u\ln(R_e/R_w)1440}

Gas Flow Rate into the Wellbore calculates gas flow rate into the wellbore for well performance workflows in reservoir engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (k, dP, L, u, R_e, R_w) are known and the assumptions behind the cited well 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, Q equals 74.908686 bbl/min.

kmD

100

dPpsi

500

Lft

50

ucP

0.02

R_eft

1000

R_wft

0.3

Inputs

k

mD

Permeability

dP

psi

Pressure Differential

L

ft

Length of Section Open to Wellbore

u

cP

Intruding Gas Viscosity

R_e

ft

Drainage Radius

R_w

ft

Wellbore Radius

Outputs

Q

bbl/min

Gas Flow Rate into the Wellbore

k

mD

Permeability

dP

psi

Pressure Differential

L

ft

Length of Section Open to Wellbore

u

cP

Intruding Gas Viscosity

Source and review

reviewed

Formulas and Calculations for Drilling, Production and Workover, Lapeyrouse, N. J. (2002)

Lapeyrouse, N. J. 2002. Formulas and Calculations for Drilling, Production and Workover, Second Edition, Gulf Professional Publishing, Page 136.

Source

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