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.