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.