Total oil production from wet in-situ combustion - Nelson and McNeil

Input(s)

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

$\emptyset$: Porosity (fraction)

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

$S_{f}$: Oil Saturation post fire flood (fraction)

$V_{s}$: Volume of Steam $\left(\mathrm{ft}^{3}\right)$

$S_{r}$: Residual oil Saturation (fraction)

$h_{n}$: Net thickness of Reservoir ( $\mathrm{ft}$ )

$h_{t}$: Total thickness of reservoir $(\mathrm{ft})$

E: Efficiency of Fire Flood (fraction)

Output(s)

$N_{p}$: Cumulative oil production (bbl)

Formula(s)

$$ \mathrm{N}_{\mathrm{p}}=\left(\frac{7758 * \emptyset * \mathrm{E} * \mathrm{~h}_{\mathrm{n}}}{\mathrm{h}_{\mathrm{t}}}\right) *\left(\mathrm{~V}_{\mathrm{r}} *\left(\mathrm{~S}_{\mathrm{i}}-\mathrm{S}_{\mathrm{f}}\right)+\mathrm{V}_{\mathrm{s}} *\left(\mathrm{~S}_{\mathrm{i}}-\mathrm{S}_{\mathrm{r}}\right)\right) $$

Reference(s)

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