Effective wellbore radius of a horizontal well - van der Vlis et al. method

Input(s)

h: Pay Zone Thickness (ft)

rw\mathrm{r}_{\mathrm{w}}: Wellbore Radius ( ft\mathrm{ft} )

α\alpha: Slant Angle (degrees)

Output(s)

L: Length of Slant Wellbore (ft)

rw\mathrm{r}_{\mathrm{w}}: Effective Wellbore Radius ( ft\mathrm{ft} )

Formula(s)

L=hcos(α)rw=L4[0.454sin(360(rwh))]hL\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.


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