Effective wellbore radius of a horizontal well - van der Vlis et al. method
Input(s)
h: Pay Zone Thickness (ft)
\(\mathrm{r}_{\mathrm{w}}\): Wellbore Radius ( \(\mathrm{ft}\) )
\(\alpha\): Slant Angle (degrees)
Output(s)
L: Length of Slant Wellbore (ft)
\(\mathrm{r}_{\mathrm{w}}\): Effective Wellbore Radius ( \(\mathrm{ft}\) )
Formula(s)
\[
\begin{gathered}
\mathrm{L}=\frac{\mathrm{h}}{\cos (\alpha)} \\
\mathrm{r}_{\mathrm{w}}=\frac{\mathrm{L}}{4} *\left[0.454 * \sin \left(360 *\left(\frac{\mathrm{r}_{\mathrm{w}}}{\mathrm{h}}\right)\right)\right]^{\frac{\mathrm{h}}{\mathrm{L}}}
\end{gathered}
\]
Reference(s)
Joshi, S. D. 1991, Horizontal Well Technology. Tulsa, Oklahoma: PennWell Publishing Company. Chapter: 3, Page: 96.