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Reservoir EngineeringPressure Transient Analysis

Shut-In Time for Pressure Build-Up Test - Dietz Method Formula

ts=ϕμctA0.0002637CAkt_s = \frac{\phi\mu c_tA}{0.0002637C_Ak}

Shut-In Time for Pressure Build-Up Test - Dietz Method calculates shut-in time for pressure transient analysis workflows in reservoir engineering.

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How engineers use this formula

Use this formula when the listed inputs (phi, A, C_A, mu, c_t, 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_s equals 1.045492 h.

phifraction

0.2

Aft^2

435600

C_Adimensionless

31.6

mucP

1

c_t1/psi

0.00001

kmD

100

Inputs

phi

fraction

Porosity

A

ft^2

Drainage Area

C_A

dimensionless

Shape Factor

mu

cP

Viscosity

c_t

1/psi

Total Compressibility

k

mD

Permeability

Outputs

t_s

h

Shut-In Time

phi

fraction

Porosity

A

ft^2

Drainage Area

C_A

dimensionless

Shape Factor

mu

cP

Viscosity

c_t

1/psi

Total Compressibility

k

mD

Permeability

Source and review

reviewed

Ahmed, T. and McKinney, P.D. 2005. Advanced Reservoir Engineering, Chapter 1, Page 63.

Source

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