Areal extent of heated zone

Input(s)

$Q_{i}$: Amount of Heat Injected (BTU)

$\mathrm{h}$: Height $(\mathrm{ft})$

$M_{r}$: Volumetric Heat Capacity of Reservoir $\left(\mathrm{BTU} / \mathrm{ft}^{3} \mathrm{~F}\right)$

G: Dimensionless Time Function (dimensionless)

$\Delta \mathrm{T}$: Temperature Differential $(\mathrm{K})$

$M_{s}$: Volumetric Heat Capacity of Steam $\left(\mathrm{BTU} / \mathrm{ft}^{3} \mathrm{~F}\right)$

$\alpha_{s}:$ Thermal Diffusivity $\left(\mathrm{ft}^{2} / \mathrm{d}\right)$

Output(s)

A: Area (acres)

Formula(s)

$$ \mathrm{A}=\frac{\mathrm{Q}_{\mathrm{i}} * \mathrm{~h} * \mathrm{M}_{\mathrm{r}} * \mathrm{G}}{43560 * 4 * \Delta \mathrm{T} * \alpha_{\mathrm{s}} * \mathrm{M}_{\mathrm{s}}^{2}} $$

Reference(s)

Prats, M. 1986. Thermal Recovery. Society of Petroleum Engineers, New York, Chapter: 5, Page: 44.