Relationship with real and dimensionless time in hot water floods

Input(s)

$\mathrm{h}$: Thickness of Layer (ft)

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

$t_{D}$: Dimensionless Time (dimensionless)

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

$M_{s}$: Specific Volumetric Heat Capacity of Steam $\left(\mathrm{BTU} / \mathrm{ft}^{3} \mathrm{~F}\right)$

Output(s)

t: Time $(d)$

Formula(s)

$$ \mathrm{t}=\frac{\left(\mathrm{h}^{2}\right) *\left(\mathrm{M}_{\mathrm{r}}^{2}\right) * \mathrm{t}_{\mathrm{D}}}{4 * \alpha_{\mathrm{s}} *\left(\mathrm{M}_{\mathrm{s}}^{2}\right)} $$

Reference(s)

Prats, M. 1986. Thermal Recovery. Society of Petroleum Engineers, New York, Chapter: 6, Page: 61.