Dimensionless time - Myhill and Stegemeier's method
Input(s)
\(\mathrm{M}_{\mathrm{s}}\): Volumetric Heat Capacity of Steam \(\left(\mathrm{btu} / \mathrm{ft}^{3} \mathrm{~K}\right)\)
\(\mathrm{M}_{\mathrm{R}}\): Volumetric Heat Capacity of the Reservoir (btu/ft \(\mathrm{ft}^{3} \mathrm{~K}\) )
\(\alpha_{\mathrm{s}}\): Overburden Heat Transfer Coefficient \(\left(\mathrm{ft}^{2} / \mathrm{d}\right)\)
\(\mathrm{h}_{\mathrm{t}}\): Thickness of Column (ft)
t: Time (day)
Output(s)
\(\mathrm{t}_{\mathrm{D}}\): Dimensionless Time (dimensionless)
Formula(s)
\[
\mathrm{t}_{\mathrm{D}}=4 *\left(\frac{\mathrm{M}_{\mathrm{s}}}{\mathrm{M}_{\mathrm{R}}}\right)^{2} *\left(\frac{\alpha_{\mathrm{s}}}{h_{t}^{2}}\right) * \mathrm{t}
\]
Reference(s)
Prats, M. 1986. Thermal Recovery. Society of Petroleum Engineers, New York, Chapter: 5, Page: 44.