Vertical well critical rate correlations - Hoyland, Papatzacos, and Skjaeveland - Isotropic reservoirs

Input(s)

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

$\mathrm{h}_{\mathrm{p}}$: Perforated Interval $(\mathrm{m})$

re: Drainage Radius (m)

$\mathrm{k}_{\mathrm{o}}$: Effective Oil Permeability $(\mathrm{mD})$

$\rho_{w}$: Water Density $\left(\mathrm{kg} / \mathrm{m}^{3}\right)$

$\mu o$: Oil Viscosity $(\mathrm{cP})$

$\rho_{o}$: Oil Density $\left(\mathrm{kg} / \mathrm{m}^{3}\right)$

Bo: Oil Formation volume Factor (RB/STB)

Output(s)

Qoc: Critical Rate $\left(\mathrm{m}^{3} / \mathrm{day}\right)$

Formula(s)

$$ Q o c=\frac{\left(\rho_{w}-\rho_{o}\right) * k o}{B o * \mu o * 10822} *\left(1-\left(\frac{h p}{h}\right)^{2}\right)^{1.325} * h^{2.238} *(\ln (r e))^{-1.99} $$

Reference(s)

Horizontal Well Technology, Joshi, Page: 257.