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Reservoir EngineeringPressure Transient Analysis

Dimensionless Pressure - Radial Flow Constant-Pressure Production Formula

Pd=PiPPiPwfP_d=\frac{P_i-P}{P_i-P_{wf}}

Dimensionless Pressure - Radial Flow Constant-Pressure Production calculates dimensionless pressure for pressure transient analysis workflows in reservoir engineering.

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How engineers use this formula

Use this formula when the listed inputs (P_i, P, P_wf) 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, P_d equals 0.5 dimensionless.

P_ipsi

4000

Ppsi

3500

P_wfpsi

3000

Inputs

P_i

psi

Initial Reservoir Pressure

P

psi

Final Reservoir Pressure

P_wf

psi

Well Flowing Pressure

Outputs

P_d

dimensionless

Dimensionless Pressure

P_i

psi

Initial Reservoir Pressure

P

psi

Final Reservoir Pressure

P_wf

psi

Well Flowing Pressure

Source and review

reviewed

Lee, J., Rollins, J.B. and Spivey, J.P. 2003. Pressure Transient Testing, SPE Textbook Series Vol. 9, Page 9.

Source

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