Oil bubble radius of the drainage area of each well represented by a circle
Input(s)
\(\mathrm{N}_{\mathrm{p}}\): Well Current Cumulative Oil Production (bbl)
\(\varnothing\): Porosity (fraction)
\(\mathrm{h}\): Thickness (ft)
\(\mathrm{S}_{\mathrm{wi}}\): Initial Water Saturation at bubble point pressure (fraction)
\(\mathrm{B}_{\mathrm{o}}\): Oil Formation Volume factor (bbl/STB)
\(\mathrm{B}_{\mathrm{oi}}\): Initial Oil Formation Volume Factor (bbl/STB)
\(\mathrm{S}_{\mathrm{o}}\): Current Oil Saturation (fraction)
Output(s)
\(\mathrm{r}_{\mathrm{ob}}\): Oil Bubble Radius (ft)
Formula(s)
\[
\mathrm{r}_{\mathrm{ob}}=\left(\frac{5.615 * \mathrm{~N}_{\mathrm{p}}}{\pi * \emptyset * \mathrm{~h} *\left(\frac{1-\mathrm{S}_{\mathrm{wi}}}{\mathrm{B}_{\mathrm{oi}}}-\frac{\mathrm{S}_{\mathrm{o}}}{\mathrm{B}_{\mathrm{o}}}\right)}\right)^{0.5}
\]
Reference(s)
Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 4, Page: 313.