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.