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.