# 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.

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