Heat remaining in reservoir - Marx and Langenheim

Input(s)

QiQ_{i}: Total Heat Injected (BTU)

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

h: Height (ft)

G: Dimensioless Time Constant (dimensionless)

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

MsM_{s}: Volumetric Heat Capacity of Formations Adjacent to Surrounding Heated Zone (BTU/ft 3{ }^{3} F)

Output(s)

Q: Heat Remaining in Reservoir (BTU)

Formula(s)

Q=Qi(Mr2)( h2)G4αsMs2\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.


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