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.