Oil saturation at any depletion state below the bubble point pressure

Input(s)

Swi\mathrm{S}_{\mathrm{wi}}: Initial Water Saturation (fraction)

Np\mathrm{N}_{\mathrm{p}}: Cumulative Oil Production (STB)

N\mathrm{N}: Oil in Place (STB)

Boi\mathrm{B}_{\mathrm{oi}}: Initial Oil Formation Volume Factor (bbl/STB)

Bo\mathrm{B}_{\mathrm{o}}: Oil Formation Volume Factor (bbl/STB)

Output(s)

So\mathrm{S}_{\mathrm{o}}: Oil Saturation (fraction)

Formula(s)

So=(1Swi)(1NpN)(BoBoi)\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.

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