Relationship with real and dimensionless time in hot water floods

Input(s)

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

MrM_{r}: Volumetric Heat Capacity of Reservoir (BTU/ft3 F)\left(\mathrm{BTU} / \mathrm{ft}^{3} \mathrm{~F}\right)

tDt_{D}: Dimensionless Time (dimensionless)

αs\alpha_{s}: Steam Diffusivity (ft2/d)\left(\mathrm{ft}^{2} / \mathrm{d}\right)

MsM_{s}: Specific Volumetric Heat Capacity of Steam (BTU/ft3 F)\left(\mathrm{BTU} / \mathrm{ft}^{3} \mathrm{~F}\right)

Output(s)

t: Time (d)(d)

Formula(s)

t=(h2)(Mr2)tD4αs(Ms2)\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.


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