摘要
基于能量守恒原理,导出了描述天然气井井筒温度分布的常微分方程,根据此模型可得到井筒温度分布的解析解,显示井筒温度分布服从指数函数变化规律。计算结果表明井筒温度分布曲线的形状取决于天然气流量,反映了井筒内流动和传热特征。应用本模型可得到不同天然气流量条件下的井筒温度分布曲线,计算方法简便快捷,方便工程应用。
Based on energy conservation principle, an ordinary differential equation were been proposed to describe borehole temperature distribution for ultra-deep gas well. Analytical solutions of borehole temperature distribution curve can be predicted by this model, which indicated that borehole temperature distribution curves follow a law of exponential function. The calculation results show that the shape of wellbore temperature distribution curves depend on natural gas flow rate, which can reflect the characteristics of flow and heat transfer in wellbores. Borehole temperature distribution curves can be obtained by this model under different conditions of natural gas flow rate. The method was proved to be simple,rapid and accurate for facilitating application to engineering.
出处
《科技信息》
2009年第27期26-27,共2页
Science & Technology Information
关键词
超深天然气井
井筒温度分布
数学模型
Ultra-deep gas well
Borehole temperature distribution
Mathematical model
