When a fluid is circulated in a wellbore, the temperature profile is determined by the transfer of heat from surrounding formations to the fluid. An analytical solution of the differential equations describing the transfer of heat has been developed. The solution assumes steady flow of heat in the wellbore and is coupled to the transient conduction of heat in the formation. The solution is validated by comparison to temperature measurements from the literature. A parametric study of the sensitivity to operating conditions is included.

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