CAJ | 학술논문

在以往对钻柱稳定性的研究中，人们对受压段钻柱的稳定性问题给予了足够的重视，而对受拉段钻柱稳定性的研究则明显不足。钻柱属于细长柔性杆件，大部分钻柱在工作时处于受拉状态。在旋转钻井作业中，当钻柱较长且转速与拉力存在某种关系时，钻柱受拉段也会发生屈曲变形。考虑到垂直井中钻柱受拉段在旋转时的转动效应，建立了顶部悬挂、受分布浮重作用的旋转细长钻柱的分岔微分方程。通过对方程的数值求解，得到了相应的分岔值曲线。利用该计算模型可以模拟石油钻井工程中旋转细长钻柱受拉段的工作状态，所得结果对钻井作业具有一定的指导意义。
재이왕대찬주은정성적연구중，인문대수압단찬주적은정성문제급여료족구적중시，이대수랍단찬주은정성적연구칙명현불족。찬주속우세장유성간건，대부분찬주재공작시처우수랍상태。재선전찬정작업중，당찬주교장차전속여랍력존재모충관계시，찬주수랍단야회발생굴곡변형。고필도수직정중찬주수랍단재선전시적전동효응，건립료정부현괘、수분포부중작용적선전세장찬주적분차미분방정。통과대방정적수치구해，득도료상응적분차치곡선。이용해계산모형가이모의석유찬정공정중선전세장찬주수랍단적공작상태，소득결과대찬정작업구유일정적지도의의。
Much studies are in focus of the stability of the drillstring in compression, and little literature with focus on that of the drillstring in tension. The drillstring is a slender and flexible bar. The most part of the drillstring is in tension while working. In rotary drilling, the drillstring being in tension may be buckling when there exist some definite relations between tensile force and the rotary speed. Taking into account the rotating effect of the drillstring, this paper presents a bifurcating differential equation for the rotating slender drillstring being in tension in vertical well section. Solving the equation numerically can obtain the bifurcating value curves. The differential equation can be used to simulate the working state of the tensional section in the rotary slender drillstring in vertical well section.