A model descn"bing the two-dimensional trazsiefit beat transfer in and around a wellbore is developed. The model considers the fluid {lowing down a drill string and returning up the annzdus. Calculated results show that the use of steady-state solutions previously published give good estimates of circulating mud temperatures. The transient solution presented here is more suited for matching temperature logs. The viscous flow energy, rotational energy, and drill bit energy were {ound to be sigrii~icarit items in the energy balance and' are included in the model. Calculated vertical temperature distributions in the innermost casing string permit the determination of the average temperature increase in that pipe. This quantity may then be used to compute thermal stresses and to predict casing stability.
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