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.