Horizontal well critical rate correlations - Efros

Input(s)

$\rho_{o}$: Oil Density $(\mathrm{g} / \mathrm{cc})$

$\rho_{w}$: Water Density $(\mathrm{g} / \mathrm{cc})$

$y_{e}$: Half of Horizontal Well Spacing (ft)

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

$\mu_{o}$: Oil Viscosity (cP)

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

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

L: Length of Reservoir ( $\mathrm{ft}$ )

Output(s)

$q_{o}$: Critical Oil Rate (STB/day)

Formula(s)

$$ q_{o}=\left(4.888 * 10^{-4}\right) * k_{h} * h^{2} *\left(\rho_{w}-\rho_{o}\right) * \frac{L}{B_{o} * \mu_{o} *\left(\left(2 * y_{e}+\left(2 * y_{e}\right)^{2}+\frac{h^{2}}{3}\right)^{0.5}\right)} $$

Reference(s)

Horizontal Well Technology, Joshi, Page: 286-295.