用能量法研究深直井管柱最大转速与正弦屈曲时临界轴向力间的关系

Analysis on the Relationship between the Axis Critical Force and the Maximum Speed of the Drill String in Deep Straight Well with Energy Method

通过考虑离心力对钻柱屈曲的影响,运用能量法研究了钻柱最大转速与正弦屈曲时临界轴向力间的关系,进而得到了转速-轴向临界力的数学模型。综合考虑钻柱惯性离心力和自重的影响,我们发现,在工作状态下,钻柱的临界压力会明显地小于静态时的临界力,这对实际的钻探工程来说具有十分重要的指导意义。

This paper investigates the relationship between the axis critical force under sinusoid bending and the maximum speed of drill string by considering the eccentric force effects of the drill string, and then obtains a mathematics model for the speed-axis critical force. Considering the inertial eccentric force and the weight of the drill string, we find that the axis critical force will be obviously less than that under the static state, which will be very important in drill engineering applications.