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Reservoir EngineeringFluid Flow in Porous Media

Low-Pressure Gas Radial Flow Rate Formula

qg=0.703kh(pR2pwf2)Tμgz[ln(re/rw)0.75+s]q_g=\frac{0.703kh(p_R^2-p_{wf}^2)}{T\mu_gz[\ln(r_e/r_w)-0.75+s]}

Low-Pressure Gas Radial Flow Rate calculates gas flow rate for fluid flow in porous media workflows in reservoir engineering.

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How engineers use this formula

Use this formula when the listed inputs (k, h, p_R, p_wf, T, mu_g, z, r_e, r_w, s) are known and the assumptions behind the cited fluid flow in porous media 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_g equals 15,398,735.37929 scf/day.

kmD

50

hft

40

p_Rpsia

1200

p_wfpsia

800

T°R

620

mu_gcP

0.018

zdimensionless

0.9

r_eft

1000

r_wft

0.328

sdimensionless

0

Inputs

k

mD

Permeability

h

ft

Net Pay Thickness

p_R

psia

Average Reservoir Pressure

p_wf

psia

Flowing Bottom-Hole Pressure

T

°R

Reservoir Temperature

mu_g

cP

Gas Viscosity

z

dimensionless

Gas Compressibility Factor

r_e

ft

Drainage Radius

r_w

ft

Wellbore Radius

s

dimensionless

Skin Factor

Outputs

q_g

scf/day

Gas Flow Rate

Source and review

reviewed

AAPG Wiki. Fluid flow fundamentals, low-pressure gas reservoir IPR equation.

Source

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