Abstract

A mathematical model and a semi-analytical solution to the problem of heating of a production well are proposed, taking into account the effect of thermal dispersion and heat losses through the top and bottom of the reservoir. Using the method of sequential change of stationary states, an approximate solution to the problem without heat losses through the top and bottom of the reservoir is obtained. Nonlinear equations are proposed to assess the well productivity during heating of the bottom-hole zone.

中文翻译：

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评价热扩散对生产井加热过程中储层温度的影响

摘要

考虑到通过储层顶部和底部的热扩散和热损失的影响，提出了生产井加热问题的数学模型和半解析解。使用静止状态的顺序变化的方法，获得了没有通过储层顶部和底部的热量损失的问题的近似解。提出了非线性方程来评估井底区域加热过程中的井产能。