# 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.

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