Areal extent of heated zone

Input(s)

QiQ_{i}: Amount of Heat Injected (BTU)

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

MrM_{r}: Volumetric Heat Capacity of Reservoir (BTU/ft3 F)\left(\mathrm{BTU} / \mathrm{ft}^{3} \mathrm{~F}\right)

G: Dimensionless Time Function (dimensionless)

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

MsM_{s}: Volumetric Heat Capacity of Steam (BTU/ft3 F)\left(\mathrm{BTU} / \mathrm{ft}^{3} \mathrm{~F}\right)

αs:\alpha_{s}: Thermal Diffusivity (ft2/d)\left(\mathrm{ft}^{2} / \mathrm{d}\right)

Output(s)

A: Area (acres)

Formula(s)

A=Qi hMrG435604ΔTαsMs2\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.


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