摘要
以下部钻具组合(BHA)为研究对象,对BHA进行了详细的受力分析. 以在空间曲线理论中起重要作用的富列耐—塞勒(Frenet—Serret)公式为基础,把BHA所受的力及力矩表示为三维非正交坐标系中视分量的形式,建立了力和力矩平衡方程. 从力和力矩平衡方程出发,采用矢量分析方法,经过数学推导过程,建立了在大挠度情况下BHA的三维控制微分方程,并指出了文献[5]中的一处笔误.
In this paper, a detailed force and deflection analysis has been given for bottom-hole assembly (BHA). Based on the Frenet-Serret formulas which are very important in the vector and tensor analysis theory, the force and moment equilibrium equations are established by the technique of apparent components system. From the force and moment equilibrium equations mentioned above and by the use of vector analysis method, 3-D differential equations for BHA under large deformation have been developed through a close and complex mathematical substitution process. A mistake in reference [5] is pointed out.
出处
《大庆石油学院学报》
CAS
北大核心
2005年第2期34-39,123,共7页
Journal of Daqing Petroleum Institute
关键词
下部钻具组合
大挠度
控制方程
三维
井眼轨迹
bottomhole assembly
large deflection
control equation
three dimension
boreole trajectory
