Effective wellbore radius in infinite-conductivity fractures
Input(s)
\(\mathrm{x}_{\mathrm{f}}\): Fracture Half Length \((\mathrm{ft})\)
L: Total Fracture Length \((\mathrm{ft})\)
Output(s)
\(\mathrm{r}_{\mathrm{w}}\): Effective Wellbore Radius \((\mathrm{ft})\)
\(\mathrm{r}_{\mathrm{w}}\): Effective Wellbore Radius \((\mathrm{ft})\)
Formula(s)
\[
\begin{aligned}
& \mathrm{r}_{\mathrm{w}}=\frac{\mathrm{L}}{4} \\
& \mathrm{r}_{\mathrm{w}}=\frac{\mathrm{x}_{\mathrm{f}}}{2}
\end{aligned}
\]
Notes: Check Validity, for \(\frac{x_{\mathrm{f}}}{x_{\mathrm{e}}}<=0.30\) where \(\mathrm{x}_{\mathrm{e}}\) is Half Length of a Side of a Drainage Area Square.
Reference(s)
Joshi, S. D. 1991, Horizontal Well Technology. Tulsa, Oklahoma: PennWell Publishing Company. Chapter:5, Page: 134 .