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Reservoir EngineeringPermeability

Gas Permeability from Core Plug Pressure-Squared Flow Formula

k=2μQavgPavgLA(P12P22)k = \frac{2\mu Q_{avg}P_{avg}L}{A(P_1^2-P_2^2)}

Gas Permeability from Core Plug Pressure-Squared Flow calculates gas permeability for permeability workflows in reservoir engineering.

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How engineers use this formula

Use this formula when the listed inputs (mu, Q_avg, P_avg, L, A, P1, P2) are known and the assumptions behind the cited permeability 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, k equals 0.0225 D.

mucP

0.018

Q_avgcm^3/s

2

P_avgatm

5

Lcm

10

Acm^2

20

P1atm

3

P2atm

1

Inputs

mu

cP

Gas Viscosity

Q_avg

cm^3/s

Average Gas Flow Rate in Core

P_avg

atm

Average Pressure in Core

L

cm

Core Plug Length

A

cm^2

Open-Flow Area of Core Plug

P1

atm

Inlet Pressure

P2

atm

Outlet Pressure

Outputs

k

D

Gas Permeability

mu

cP

Gas Viscosity

Q_avg

cm^3/s

Average Gas Flow Rate in Core

P_avg

atm

Average Pressure in Core

L

cm

Core Plug Length

A

cm^2

Open-Flow Area of Core Plug

P1

atm

Inlet Pressure

P2

atm

Outlet Pressure

Source and review

reviewed

Mihcakan, Alkan and Ugur. Petroleum and Natural Gas Laboratory Course Notes, II-Properties of Porous Media, ITU Petroleum and Natural Gas Engineering, Page 3-4.

Source

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