Estimating steady-state five-spot injection rate (steam-drive)

Input(s)

k: Permeability $(\mathrm{mD})$

$\mathrm{h}$: Pay zone Thickness (ft)

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

A: Area Per Pattern (acre) $r_{w}$: Wellbore Radius (ft)

$P_{i}$: Injection Pressure (psi)

$P_{b}$: Borehole Pressure (psi)

Output(s)

i: Injection Rate (BBL/d)

Formula(s)

$$ \mathrm{i}=\left(7.082 * \frac{10^{-3}}{2 * \pi}\right) *\left(\frac{\mathrm{pi} * \mathrm{k} * \frac{\mathrm{h}}{\mu}}{\ln \left(\frac{208.71 * \mathrm{~A}^{0.5}}{\mathrm{r}_{\mathrm{w}}}\right)-0.964}\right) *\left(\mathrm{P}_{\mathrm{i}}-\mathrm{P}_{\mathrm{b}}\right) $$

Reference(s)

Pratts, M. (1986). Thermal Recovery Monograph Vol. 7. Society of Petroleum Engineers, Houston, Page: 83.