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Reservoir EngineeringWell Performance

High-Pressure Region Gas Flow Rate Formula

Qg=7.08×106kh(PrPwf)μgavgBgavg[ln(re/rw)0.75+S]Q_g=\frac{7.08\times10^{-6}kh(P_r-P_{wf})}{\mu_{gavg}B_{gavg}[\ln(r_e/r_w)-0.75+S]}

High-Pressure Region Gas Flow Rate calculates gas flow rate for well performance workflows in reservoir engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (k, h, P_r, P_wf, mu_gavg, B_gavg, r_e, r_w, S) 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_g equals 5,768.997156 MSCF/day.

kmD

50

hft

40

P_rpsi

3000

P_wfpsi

2500

mu_gavgcP

0.02

B_gavgbbl/SCF

0.005

r_eft

1000

r_wft

0.328

Sdimensionless

5

Inputs

k

mD

Permeability

h

ft

Formation Thickness

P_r

psi

Average Reservoir Pressure

P_wf

psi

Bottomhole Flowing Pressure

mu_gavg

cP

Average Gas Viscosity

B_gavg

bbl/SCF

Average Gas Formation Volume Factor

r_e

ft

Drainage Radius

r_w

ft

Wellbore Radius

S

dimensionless

Skin Factor

Outputs

Q_g

MSCF/day

Gas Flow Rate

P_r

psi

Average Reservoir Pressure

P_wf

psi

Bottomhole Flowing Pressure

k

mD

Permeability

h

ft

Formation Thickness

Source and review

reviewed

Advanced Reservoir Engineering, Ahmed, T., McKinney, P. D. (2005)

Ahmed, T. and McKinney, P. D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter 3, Page 189.

Source

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