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.