Estimating volume of steam injection (steam-drive)

Input(s)

$C_{w}$: Specific Heat Capacity of Water (BTU/LBM F)

$T_{s b}$: Temperature of Steam at Boiler Outlet $\left({ }^{\circ} \mathrm{F}\right)$

$T_{a}$: Ambient Temperature $\left({ }^{\circ} \mathrm{F}\right)$

$f_{s b}$: Fraction of Steam at Boiler Outlet (fraction)

$T_{i d h}$: Injection Temperature Down Hole $\left({ }^{\circ} \mathrm{F}\right)$

$T_{i}$: Injection Temperature $\left({ }^{\circ} \mathrm{F}\right)$

$f_{s d h}$: Fraction of Steam Down Hole (fraction)

$L_{v d h}$: Latent Heat of Vaporization Down Hole (BTU/lbm)

$L_{v b}$: Latent Heat of Vaporization at Boiler Outlet (BTU/lbm)

Output(s)

Ws, eq: Volume of Steam injected, as Water Equivalent (BBL/d)

Formula(s)

$$ \text { Ws, eq }=\left(2.853 * 10^{-6}\right) * \frac{\mathrm{C}_{\mathrm{w}} *\left(\mathrm{~T}_{\mathrm{sb}}-\mathrm{T}_{\mathrm{a}}\right)+\mathrm{f}_{\mathrm{sb}} * \mathrm{~L}_{\mathrm{vb}}}{\mathrm{C}_{\mathrm{w}} *\left(\mathrm{~T}_{\mathrm{idh}}-\mathrm{T}_{\mathrm{i}}\right)+\mathrm{f}_{\mathrm{sdh}} * \mathrm{~L}_{\mathrm{vdh}}} $$

Reference(s)

Pratts, M. (1986). Thermal Recovery Monograph Vol. 7. Society of Petroleum Engineers, Houston, Page: 78.