Oil bubble radius of the drainage area of each well represented by a circle

Input(s)

Np\mathrm{N}_{\mathrm{p}}: Well Current Cumulative Oil Production (bbl)

\varnothing: Porosity (fraction)

h\mathrm{h}: Thickness (ft)

Swi\mathrm{S}_{\mathrm{wi}}: Initial Water Saturation at bubble point pressure (fraction)

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

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

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

Output(s)

rob\mathrm{r}_{\mathrm{ob}}: Oil Bubble Radius (ft)

Formula(s)

rob=(5.615 Npπ h(1SwiBoiSoBo))0.5\mathrm{r}_{\mathrm{ob}}=\left(\frac{5.615 * \mathrm{~N}_{\mathrm{p}}}{\pi * \emptyset * \mathrm{~h} *\left(\frac{1-\mathrm{S}_{\mathrm{wi}}}{\mathrm{B}_{\mathrm{oi}}}-\frac{\mathrm{S}_{\mathrm{o}}}{\mathrm{B}_{\mathrm{o}}}\right)}\right)^{0.5}

Reference(s)

Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 4, Page: 313.


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