Dimensionless time in wet combustion by Kuo

Input(s)

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

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

$\alpha_{S}$: Thermal Diffusivity of Steam to Overburden $\left(\mathrm{ft}^{2} / \mathrm{d}\right)$

$h_{t}$: Thickness of Reservoir (ft)

$\mathrm{t}$: Time $(\mathrm{d})$

Output(s)

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

Formula(s)

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

Reference(s)

Prats, M. 1986. Thermal Recovery. Society of Petroleum Engineers, New York, Chapter: 8, Page: 104.