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 .