Equivalent volume of steam injected - Myhill and Stegemeier
Input(s)
\(C_{w}\): Specific Heat of Water Steam (BTU/lb K)
\(T_{s b}\): Steam Temperature at Boiler Outlet (K)
\(T_{a}\): Ambient Temperature (K)
\(f_{s b}\): Steam Quality (fraction)
\(L_{v b}\): Latent Heat of Vaporization (BTU/lb)
\(T_{i}\): Downhole Steam Injection Temperature (K)
\(T_{o}\): Input Temperature (K)
\(f_{v d h}\): Quality of Steam Downhole (fraction)
\(L_{v d h}\): Latent Heat of Vaporization Downhole (BTU/lb)
Output(s)
\(W_{s, e q}\): Equivalent Volume of Steam (bbl)
Formula(s)
\[
\mathrm{W}_{\mathrm{s}, \mathrm{eq}}=2.853 *\left(10^{-6}\right) *\left(\frac{\mathrm{C}_{\mathrm{w}} *\left(\mathrm{~T}_{\mathrm{sb}}-\mathrm{T}_{\mathrm{a}}\right)+\mathrm{f}_{\mathrm{sb}} * \mathrm{~L}_{\mathrm{vb}}}{\mathrm{C}_{\mathrm{w}} *\left(\mathrm{~T}_{\mathrm{i}}-\mathrm{T}_{\mathrm{o}}\right)+\mathrm{f}_{\mathrm{vdh}} * \mathrm{~L}_{\mathrm{vdh}}}\right)
\]
Reference(s)
Prats, M. 1986. Thermal Recovery. Society of Petroleum Engineers, New York, Chapter: 7, Page: 78.