Dimensionless ratio of effective volumetric heat capacity of injected steam to that of the steam zone

Input(s)

$\rho_{w}$: Density of Water $(\mathrm{g} / \mathrm{cc})$

$C_{w}$: Specific Heat of Water $(\mathrm{BTU} / \mathrm{K} \mathrm{mol} \mathrm{psi})$

dT: Temperature Differential $(\mathrm{K})$

$f_{s}$: Steam Quality (fraction)

$L_{v}$: Latent Heat of Vaporization (BTU/lbm)

$M_{r}$: Volumetric Heat Capacity of the Reservoir (BTU/ $\mathrm{ft}^{3} \mathrm{~K}$ )

Output(s)

$F_{d h}$: Dimensionless Ratio of Effective Volumetric Heat Capacity of injected Steam to that of the Steam Zone (dimensionless)

Formula(s)

$$ \mathrm{F}_{\mathrm{dh}}=\frac{\rho_{\mathrm{w}} *\left(\mathrm{C}_{\mathrm{w}} * \mathrm{dT}+\mathrm{f}_{\mathrm{s}} * \mathrm{~L}_{\mathrm{v}}\right)}{\mathrm{M}_{\mathrm{r}} * \mathrm{dT}} $$

Reference(s)

Prats, M. 1986. Thermal Recovery. Society of Petroleum Engineers, New York, Chapter: 12, Page: 164.