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Reservoir EngineeringPressure Transient Analysis

Dimensionless Radius of Radial Flow – Constant-Rate Production Formula

rd=rrwr_d = \frac{r}{r_w}

Dimensionless Radius of Radial Flow – Constant-Rate Production calculates dimensionless radius for pressure transient analysis workflows in reservoir engineering.

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How engineers use this formula

Use this formula when the listed inputs (r, r_w) 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, r_d equals 3,333.333333 dimensionless.

rft

1000

r_wft

0.3

Inputs

r

ft

Effective Radius or Reservoir Radius

r_w

ft

Wellbore Radius

Outputs

r_d

dimensionless

Dimensionless Radius

r

ft

Effective Radius or Reservoir Radius (rearranged)

r_w

ft

Wellbore Radius (rearranged)

Source and review

reviewed

Lee, J., Rollins, J. B., & Spivey, J. P. (2003). Pressure Transient Testing (Vol. 9). Richardson, Texas: Society of Petroleum Engineers, Page: 8.

Source

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