Abstract
An asymptotic solution has been obtained by the method of integral relations of the problem of rock heating for the case of a production well operated in a steady state. In underground hydraulics and oil production, such asymptotics are widely used for practical estimates of temperature profiles along the wellbore and temperature at the wellhead. A unified formula for the outflow (inflow) of heat into the rock is proposed, which is used to estimate heat losses from the wellbore and the temperature profile along the wellbore after the initial period, after reaching the steady state.
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