Average reservoir temperature in a cyclical steam injection process

Input(s)

TiT_{i}: Initial Temperature (K)(\mathrm{K})

TsT_{s}: Temperature of Steam (K)(\mathrm{K})

fHDf_{H D}: Time-dependent Conduction Loss in Direction of Heated interval (dimensionless)

fVDf_{V D}: Time-dependent Conduction Loss Normal to the Direction of Heated interval (dimensionless)

fpDf_{p D}: Time-dependent Quantity for Heat Loss by Produced Fluid (dimensionless)

Output(s)

TaT_{a}: Average Temperature within the Heated Zone (K)

Formula(s)

Ta=Ti+(TsTi)(fVDfHD(1fpD)fpD)\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.


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