Heat remaining in reservoir - Marx and Langenheim
Input(s)
\(Q_{i}\): Total Heat Injected (BTU)
\(M_{r}\): Volumetric Heat Capacity of Reservoir \(\left(\mathrm{BTU} / \mathrm{ft}^{3} \mathrm{~F}\right)\)
h: Height (ft)
G: Dimensioless Time Constant (dimensionless)
\(\alpha_{s}\): Steam Diffusivity \(\left(\mathrm{ft}^{2} / \mathrm{d}\right)\)
\(M_{s}\): Volumetric Heat Capacity of Formations Adjacent to Surrounding Heated Zone (BTU/ft \({ }^{3}\) F)
Output(s)
Q: Heat Remaining in Reservoir (BTU)
Formula(s)
\[
\mathrm{Q}=\frac{\mathrm{Q}_{\mathrm{i}} *\left(\mathrm{M}_{\mathrm{r}}^{2}\right) *\left(\mathrm{~h}^{2}\right) * \mathrm{G}}{4 * \alpha_{\mathrm{s}} * \mathrm{M}_{\mathrm{s}}^{2}}
\]
Reference(s)
Prats, M. 1986. Thermal Recovery. Society of Petroleum Engineers, New York, Chapter: 5, Page: 44.