PetroCalcHubFree
Reservoir EngineeringUnconventional Reservoirs

Payne Intercompartmental Gas Flow in Tight Gas Reservoirs Formula

Q12=(0.111924kATL)[m(P1)m(P2)]Q_{12}=\left(\frac{0.111924 k A}{T L}\right)\left[m(P_1)-m(P_2)\right]

Payne Intercompartmental Gas Flow in Tight Gas Reservoirs calculates gas flow rate from compartment 1 to compartment 2 for unconventional reservoirs workflows in reservoir engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (k, A, T, L, mP_1, mP_2) are known and the assumptions behind the cited unconventional reservoirs 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_12 equals 1,076.192308 SCF/day.

kmD

0.01

Aft^2

1000

Tdeg R

520

Lft

100

mP_1psi^2/cP

300000000

mP_2psi^2/cP

250000000

Inputs

k

mD

Permeability between compartments

A

ft^2

Cross-sectional flow area

T

deg R

Reservoir temperature

L

ft

Distance between compartment centers

mP_1

psi^2/cP

Gas pseudopressure in compartment 1

mP_2

psi^2/cP

Gas pseudopressure in compartment 2

Outputs

Q_12

SCF/day

Gas flow rate from compartment 1 to compartment 2

k

mD

Permeability between compartments

A

ft^2

Cross-sectional flow area

T

deg R

Reservoir temperature

L

ft

Distance between compartment centers

mP_1

psi^2/cP

Gas pseudopressure in compartment 1

mP_2

psi^2/cP

Gas pseudopressure in compartment 2

Source and review

reviewed

Ahmed, T. and McKinney, P. D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter 3, Pages 234-235.

Source

Related formulas and calculators

Average Permeability for Linear Flow in Layered Beds
Permeability
Average Permeability for Linear Flow - Series Beds
Permeability
Average Permeability for Parallel-Layered Systems
Permeability
Average Permeability in Radial Systems
Permeability
Klinkenberg Apparent Gas Permeability
Permeability
Jones-Owens Klinkenberg Slip Factor
Permeability