# Effective wellbore radius for finite-conductivity fractures

## Input(s)

$$\mathrm{k}_{\mathrm{f}}$$: Fracture Conductivity $$(\mathrm{mD})$$

$$\mathrm{b}_{\mathrm{f}}$$: Fracture Width $$(\mathrm{ft})$$

k: Formation Conductivity $$(\mathrm{mD})$$

$$\mathrm{x}_{\mathrm{f}}$$: Fracture Half Length $$(\mathrm{ft})$$

## Output(s)

$$\mathrm{F}_{\mathrm{CD}}$$: Dimensionless Fracture Conductivity (dimensionless)

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

## Formula(s)

$\begin{gathered} \mathrm{F}_{\mathrm{CD}}=\frac{\mathrm{k}_{\mathrm{f}} * \mathrm{~b}_{\mathrm{f}}}{\mathrm{k} * \mathrm{x}_{\mathrm{f}}} \\ \mathrm{r}_{\mathrm{w}}=0.2807 * \frac{\mathrm{k}_{\mathrm{f}} * \mathrm{~b}_{\mathrm{f}}}{\mathrm{k}} \end{gathered}$

Notes: $$\mathrm{r}_{\mathrm{w}}$$ is valid if $$\mathrm{F}_{\mathrm{CD}}<0.1$$.

## Reference(s)

Joshi, S. D. 1991, Horizontal Well Technology. Tulsa, Oklahoma:PennWell Publishing Company. Chapter: 5, Page: 135 .

## Related

### Effective wellbore radius in infinite-conductivity fractures

An unhandled error has occurred. Reload 🗙