Growth of steam-heated area - Marx-Langenheim
Input(s)
\(Q_{i}\): Injected Heat Content (BTU)
\(t_{d}\): Dimensionless Time (dimensionless)
\(e_{t}\): Error Function of square root of dimensionless function (dimensionless)
\(\mathrm{T}\): Temperature Differential \((\mathrm{K})\)
\(M_{r}\): Volumetric Heat Capacity of the Reservoir \(\left(\mathrm{BTU} / \mathrm{ft}^{3} \mathrm{~F}\right)\)
\(\mathrm{h}\): Height (ft)
Output(s)
A: Growth of Steam Zone (ac/d)
Formula(s)
\[
\mathrm{A}=\frac{\mathrm{Q}_{\mathrm{i}} * \exp \left(\mathrm{t}_{\mathrm{d}}\right) * \mathrm{e}_{\mathrm{t}}}{43560 * \mathrm{~T} * \mathrm{M}_{\mathrm{r}} * \mathrm{~h}}
\]
Reference(s)
Michael Prats. Thermal recovery. Society of Petroleum Engineers. New York. 1986, Page: 61.