Oil saturation at any depletion state below the bubble point pressure
Input(s)
\(\mathrm{S}_{\mathrm{wi}}\): Initial Water Saturation (fraction)
\(\mathrm{N}_{\mathrm{p}}\): Cumulative Oil Production (STB)
\(\mathrm{N}\): Oil in Place (STB)
\(\mathrm{B}_{\mathrm{oi}}\): Initial Oil Formation Volume Factor (bbl/STB)
\(\mathrm{B}_{\mathrm{o}}\): Oil Formation Volume Factor (bbl/STB)
Output(s)
\(\mathrm{S}_{\mathrm{o}}\): Oil Saturation (fraction)
Formula(s)
\[
\mathrm{S}_{\mathrm{o}}=\left(1-\mathrm{S}_{\mathrm{wi}}\right) *\left(1-\frac{\mathrm{N}_{\mathrm{p}}}{\mathrm{N}}\right) *\left(\frac{\mathrm{B}_{\mathrm{o}}}{\mathrm{B}_{\mathrm{oi}}}\right)
\]
Reference(s)
Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 4, Page: 312.