Water-drive recovery
Input(s)
Ø: Porosity (fraction)
\(\mathrm{S}_{\mathrm{w}}\): Water Saturation (fraction)
\(\mathrm{B}_{\mathrm{oi}}: \quad \mathrm{FVF}\) at Initial Conditions of Reservoir (RB/STB)
k: Permeability (D)
\(\mu_{\mathrm{wi}}\): Water Viscosity \((\mathrm{cP})\)
\(\mu_{\mathrm{oi}}\): Oil Viscocity \((\mathrm{cP})\)
\(\mathrm{P}_{\mathrm{i}}\): Initial Pressure (psi)
\(\mathrm{P}_{\mathrm{a}}\): Pressure at Depletion \((\mathrm{psi})\)
Output(s)
\(\mathrm{E}_{\mathrm{R}}\): Fractional Recovery Efficiency (fraction)
Formula(s)
\[
\mathrm{E}_{\mathrm{R}}=54.898 *\left(\frac{\emptyset *\left(1-\mathrm{S}_{\mathrm{w}}\right)}{\mathrm{B}_{\mathrm{oi}}}\right)^{0.0422} *\left(\frac{\mathrm{k} * \mu_{\mathrm{wi}}}{\mu_{\mathrm{oi}}}\right)^{0.0770} *\left(\mathrm{~S}_{\mathrm{w}}\right)^{-0.1903} *\left(\frac{\mathrm{P}_{\mathrm{i}}}{\mathrm{P}_{\mathrm{a}}}\right)^{-0.2159}
\]
Reference(s)
Craig Jr. F. F., 2004, The Reservoir Engineering Aspects of Waterflooding, Vol. 3. Richardson, Texas: Monograph Series, SPE, Page: 83.