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.