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Effective Wellbore Radius of a Horizontal Well – van der Vlis et al. Method Formula

rwe=L4(0.454sin(360rwh))hLr_{we} = \frac{L}{4} \cdot \left( 0.454 \cdot \sin\left(360 \cdot \frac{r_w}{h} \right) \right)^{\frac{h}{L}}

Effective Wellbore Radius of a Horizontal Well – van der Vlis et al. Method calculates effective wellbore radius for well performance workflows in reservoir engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (r_w, h, alpha) are known and the assumptions behind the cited well performance 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_we equals 0.995791 ft.

r_wft

0.3

hft

50

alphadegrees

45

Inputs

r_w

ft

Wellbore Radius

h

ft

Pay Zone Thickness

alpha

degrees

Slant Angle

Outputs

L

intermediateft

Length of Horizontal Well

r_we

ft

Effective Wellbore Radius

Source and review

reviewed

Joshi, S. D. 1991, Horizontal Well Technology. Tulsa, Oklahoma: PennWell Publishing Company. Chapter: 3, Page: 96.

Source

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