Dimensionless heat injection rate (Gringarten and Sauty)
Input(s)
\(M_{f}\): Volumetric Heat Capacity of the Injected Hot Fluid (BTU/ft \({ }^{3}\) F)
\(M_{r}\): Volumetric Heat Capacity of the Reservoir \(\left(\mathrm{BTU} / \mathrm{ft}^{3} \mathrm{~F}\right)\)
\(h_{t}\): Height (ft)
\(\mathrm{i}\): Injection Rate \(\left(\mathrm{ft}^{3} / \mathrm{d}\right)\)
\(\alpha_{s}\): Thermal Diffusivity to Overburden \(\left(\mathrm{ft}^{2} / \mathrm{d}\right)\)
\(M_{s}\): Volumetric Heat Capacity of Steam \(\left(\mathrm{BTU} / \mathrm{ft}^{3} \mathrm{~F}\right)\)
L: Length (ft)
Output(s)
\(Q_{i D}\): Dimensionless Injection Rate (dimensionless)
Formula(s)
\[
\mathrm{Q}_{\mathrm{iD}}=\frac{\mathrm{M}_{\mathrm{f}} * \mathrm{M}_{\mathrm{r}} * \mathrm{~h}_{\mathrm{t}} * \mathrm{i}}{4 * \alpha_{\mathrm{s}} *\left(\mathrm{M}_{\mathrm{s}}^{2}\right) *\left(\mathrm{~L}^{2}\right)}
\]
Reference(s)
Prats, M. 1986. Thermal Recovery. Society of Petroleum Engineers, New York, Chapter: 5, Page: 51.