Numerical Investigation of the Influence of the Drill String Vibration Cyclic Loads on the Time Dependent Wellbore Stability Analysis

A. K. Kamgue Lenwoue, Jin-gen Deng, Yongcun Feng, N. S. Songwe Selabi
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Abstract

Wellbore instability is one of the most important causes of Non-Productive Time causing billions of dollars of losses every year in the petroleum industry. During the drilling operations, the drilling mud is generally utilized to maintain the wellbore stability. However, the drilling mud is subjected to fluctuations caused by several processes such as the drill string vibration cyclic loads which can result into wellbore instability. In this paper, a nonlinear finite element software ABAQUS is utilized as the numerical simulator to evaluate the time dependent pore pressure and stress distribution around the wellbore after integration of drill string vibration cyclic loads. A MATLAB program is then developed to investigate the wellbore stability by computation of the time dependent wellbore collapse pressure and fracture pressure. The numerical results showed that the safe mud window which was initially constant became narrower with the time after integration of vibration cyclic load. The collapse pressure without vibration cyclic load increased by 14.33 % at the final simulation time while the fracture pressure decreased by 13.80 %. Interestingly, the safe mud windows widened with the increase of the normalized wellbore radius as the wellbore fracture pressure increased and the collapse pressure decreased. This study provides an insight into the coupling of the wellbore stability and the continuous cyclic loads generated by drill string vibrations which is an aspect that has been rarely discussed in the literature.
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钻柱振动循环载荷对随时间井筒稳定性分析影响的数值研究
井筒不稳定性是造成非生产时间的最重要原因之一,每年造成石油行业数十亿美元的损失。在钻井作业中,一般利用钻井泥浆来维持井筒稳定性。然而,钻井泥浆受到钻柱振动、循环载荷等多种过程的波动,可能导致井筒失稳。本文利用非线性有限元软件ABAQUS作为数值模拟器,对钻柱振动循环载荷积分后井筒周围孔隙压力和应力随时间的分布进行了数值模拟。然后开发了MATLAB程序,通过计算随时间变化的井筒坍塌压力和破裂压力来研究井筒稳定性。数值计算结果表明,振动循环载荷积分后,初始稳定的安全泥浆窗口随着时间的推移逐渐变窄。在模拟结束时,无振动循环载荷的破坏压力增加了14.33%,而破裂压力降低了13.80%。有趣的是,安全泥浆窗口随着归一化井眼半径的增大而变宽,井筒破裂压力增大,坍塌压力减小。该研究深入了解了井眼稳定性与钻柱振动产生的连续循环载荷之间的耦合关系,这是文献中很少讨论的一个方面。
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