Volumetric heat capacity

Input(s)

$\mathrm{M}_{\mathrm{S}} \alpha^{0.5}$ Volumetric Heat Capacity of Formations Adjacent to Surrounding Heated Zone (BTU/ft ${ }^{3} \mathrm{~F}$ )

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

$\mathrm{T}$: Temperature Differential $(\mathrm{F})$ $L_{v}$: Latent Heat of Vaporization (BTU/lb)

$\mathrm{dt}$: Time Differential $(\mathrm{d})$

$M_{R s e}$: Effective Volumetric Heat Capacity of Steam Zone $\left(\mathrm{BTU} / \mathrm{ft}^{3} \mathrm{~F}\right)$

Output(s)

$d z_{s}$: Steam Zone Growth $(\mathrm{ft})$

Formula(s)

$$ \mathrm{dz} \mathrm{z}_{\mathrm{s}}=\left(\frac{4 * \mathrm{M}_{\mathrm{S}} \alpha^{0.5} * \mathrm{C}_{\mathrm{w}} * \mathrm{~T}}{\mathrm{~L}_{\mathrm{v}} * \mathrm{M}_{\text {Rse }}}\right) *\left(\frac{\mathrm{dt}}{\pi}\right)^{0.5} $$

Reference(s)

Prats, M. 1986. Thermal Recovery. Society of Petroleum Engineers, New York, Chapter: 7, Page: 80.