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.