Oil in place for undersaturated oil reservoirs without fluid injection

Input(s)

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

BoB_{\mathrm{o}}: Oil Formation Volume Factor (rb/STB)

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

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

cw\mathrm{c}_{\mathrm{w}}: Water Compressibility (1/psi)

cf\mathrm{c}_{\mathrm{f}}: Formation Compressibility (1/psi)(1 / \mathrm{psi})

ΔP\Delta \mathrm{P}: Pressure Differential (psi)

Output(s)

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

Formula(s)

N=Np BoBoBoi+Boi(Swicw+cf1Swi)ΔP\mathrm{N}=\frac{\mathrm{N}_{\mathrm{p}} * \mathrm{~B}_{\mathrm{o}}}{\mathrm{B}_{\mathrm{o}}-\mathrm{B}_{\mathrm{oi}}+\mathrm{B}_{\mathrm{oi}} *\left(\frac{\mathrm{S}_{\mathrm{wi}} * \mathrm{c}_{\mathrm{w}}+\mathrm{c}_{\mathrm{f}}}{1-\mathrm{S}_{\mathrm{wi}}}\right) * \Delta \mathrm{P}}

Reference(s)

Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 5, Page: 333 .


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