Total water production from in-situ combustion - Nelson and McNeil

Input(s)

$V_{r}$: Volume of Reservoir burnt $\left(\mathrm{ft}^{3}\right)$

$\phi$: Porosity (fraction)

$S_{i}$: Initial Water Saturation (fraction)

$S_{f}$: Water Saturation after burning Reservoir (fraction)

Output(s)

$W_{p}$: Cumulative Water production (bbl)

Formula(s)

$$ \mathrm{W}_{\mathrm{p}}=7758 * \mathrm{~V}_{\mathrm{r}} * \varnothing *\left(\mathrm{~S}_{\mathrm{i}}-\mathrm{S}_{\mathrm{f}}\right) $$

Reference(s)

Enhanced Oil Recovery, Green \& Willhite, Page: 395.