Numerical Simulation of Natural Convection and Calculation of Heat Transfer Coefficient in Wellbore Annulus during Deep-Water Gas Well Testing

Hui Liu, Zhiyuan Wang, Baojiang Sun, Wenqiang Lou, Jianbo Zhang, Zheng Liu
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Abstract

Most of the current prediction model of wellbore temperature for deep-water gas well does not consider the influence of natural convection in annulus on the heat dissipation of the system, resulting in a lower prediction accuracy of temperature. In this study, three-dimensional simulation on the heat transfer by natural convective of testing fluid in annulus was performed. The mechanism of heat transfer are studied for different values of Rayleigh number (Ra) and Bingham number (Bn). The results show that the occurrence of natural convection in the annulus can significantly increase the heat loss of the fluid in the tubing. With the increases in Ra or decreases in Bn, the convective transport in annulus gradually strengthens, and the heat transfer coefficient gradually increases. However, when the Bingham number increases to about 100, the heat transfer mode in annulus becomes a single heat conduction. Based on the simulation results, a new correlation of heat transfer coefficients in annulus was proposed. The introduction of this correlation can significantly improve the prediction accuracy of wellbore temperature during deep water gas well testing, and lay a foundation for the prevention and control of hydrate and wax formation in wellbore.
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深水气井试井环空自然对流数值模拟及换热系数计算
现有的深水气井井筒温度预测模型大多未考虑环空自然对流对系统散热的影响,导致温度预测精度较低。本文对测试流体在环空中的自然对流换热进行了三维模拟。研究了不同瑞利数(Ra)和宾汉数(Bn)值下的换热机理。结果表明,环空自然对流的发生会显著增加油管内流体的热损失。随着Ra的增加或Bn的减少,环空对流输运逐渐增强,换热系数逐渐增大。然而,当宾汉姆数增加到100左右时,环空的传热方式变为单一的热传导。根据模拟结果,提出了一种新的环空换热系数关系式。该相关性的引入可以显著提高深水气井试井过程中井筒温度预测的精度,为井筒水合物、蜡形成的防治奠定基础。
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