# Horizontal well breakthrough time in a bottom-water-drive reservoir

## Input(s)

$$\emptyset$$: Porosity (fraction)

$$S_{w c}$$: Connate Water Saturation (fraction)

$$S_{\text {oir }}$$: Residual Oil Saturation (fraction)

$$E_{s}$$: Sweep Efficiency (dimensionless)

$$k_{h}$$: Horizontal Permeability $$(\mathrm{mD})$$

$$k_{v}$$: Vertical Permeability $$(\mathrm{mD})$$

$$\mathrm{h}$$: Oil Column Thickness (ft)

$$q_{o}$$: Flow Rate $$(\mathrm{STB} / \mathrm{d})$$

$$B_{o}$$: Oil Formation Volume Factor (RB/STB)

## Output(s)

$$f_{d}$$: Saturation Constant (dimensionless)

$$t_{B T}$$: Water Breakthrough Time (d)

## Formula(s)

$\begin{gathered} \mathrm{f}_{\mathrm{d}}=\varnothing *\left(1-\mathrm{S}_{\mathrm{wc}}-\mathrm{S}_{\mathrm{oir}}\right) \\ \mathrm{t}_{\mathrm{BT}}=\left(\mathrm{f}_{\mathrm{d}} * \mathrm{~h}^{3} * \frac{\mathrm{E}_{\mathrm{s}}}{5.615 * \mathrm{q}_{\mathrm{o}} * \mathrm{~B}_{\mathrm{o}}}\right) * \frac{\mathrm{k}_{\mathrm{h}}}{\mathrm{k}_{\mathrm{v}}} \end{gathered}$

## Reference(s)

Joshi, S. D. 1991, Horizontal Well Technology. Tulsa, Oklahoma: PennWell Publishing Company. Chapter: 8, Page: 295 .

An unhandled error has occurred. Reload 🗙