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Replacing the static value of 

LaTeX Math Inline
bodyT_G(z)
 in RHK model with dynamic value of  
LaTeX Math Inline
bodyT_b(t, z)
 one arrives to the final wellbore temperature model with account of heat exchange with surrounding rocks and cooling effects from flowing units (Semispace Linear Conduction).


See Also

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Geology / Geothermal Temperature Field / Geothermal Temperature Profile

Physics / Fluid Dynamics / Linear Fluid Flow 

[ Temperature Flat Source Solution @model ] [ Geothermal Temperature Profile @model ]


References

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Semiplane Temperature Model.pptx

С. В. Новиков, ТЕПЛОВЫЕ СВОЙСТВА ТЕРРИГЕННЫХ КОЛЛЕКТОРОВ И НАСЫЩАЮЩИХ ФЛЮИДОВ, 2009.pdf

В.М. Фокин, Г.П. Бойков, Ю.В. Видин, ОСНОВЫ ТЕХНИЧЕСКОЙ ТЕПЛОФИЗИКИ, 2004.pdfReference