Average reservoir temperature in a cyclical steam injection process
Input(s)
\(T_{i}\): Initial Temperature \((\mathrm{K})\)
\(T_{s}\): Temperature of Steam \((\mathrm{K})\)
\(f_{H D}\): Time-dependent Conduction Loss in Direction of Heated interval (dimensionless)
\(f_{V D}\): Time-dependent Conduction Loss Normal to the Direction of Heated interval (dimensionless)
\(f_{p D}\): Time-dependent Quantity for Heat Loss by Produced Fluid (dimensionless)
Output(s)
\(T_{a}\): Average Temperature within the Heated Zone (K)
Formula(s)
\[
\mathrm{T}_{\mathrm{a}}=\mathrm{T}_{\mathrm{i}}+\left(\mathrm{T}_{\mathrm{s}}-\mathrm{T}_{\mathrm{i}}\right) *\left(\mathrm{f}_{\mathrm{VD}} * \mathrm{f}_{\mathrm{HD}} *\left(1-\mathrm{f}_{\mathrm{pD}}\right)-\mathrm{f}_{\mathrm{pD}}\right)
\]
Reference(s)
Prats, M. 1986. Thermal Recovery. Society of Petroleum Engineers, New York, Chapter: 9, Page: 115.