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Reservoir EngineeringPressure Transient Analysis

Time to Semi-Steady State for Gas Well Drainage Area Formula

tpss=15.8ϕμgictiAkt_{pss}=\frac{15.8\phi\mu_{gi}c_{ti}A}{k}

Time to Semi-Steady State for Gas Well Drainage Area calculates time to semi-steady state for pressure transient analysis workflows in reservoir engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (phi, mu_gi, c_ti, A, k) are known and the assumptions behind the cited pressure transient analysis 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, t_pss equals 0.7584 h.

phifraction

0.12

mu_gicP

0.02

c_ti1/psi

0.00001

Aft^2

1000000

kmD

0.5

Inputs

phi

fraction

Porosity

mu_gi

cP

Initial Gas Viscosity

c_ti

1/psi

Initial Total Compressibility

A

ft^2

Drainage Area

k

mD

Effective Gas Permeability

Outputs

t_pss

h

Time to Semi-Steady State

phi

fraction

Porosity

mu_gi

cP

Initial Gas Viscosity

c_ti

1/psi

Initial Total Compressibility

A

ft^2

Drainage Area

k

mD

Effective Gas Permeability

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 194.

Source

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