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在定向井中 ,选择最佳的井眼轨迹设计、计算旋转钻进的摩擦扭矩受到了人们的关注。对于摩阻和扭矩的计算 ,有些方程都是以滑动摩擦产生的摩阻和扭矩为假设 ,取管柱微元段作为增量方程计算 ,可能存在一定的欠妥。本文是以三种弯曲井段导出的微分方程为基础 ,对假设的井斜角θ和方位角α没有同时变化的理论公式和近似公式以代数方程导出 ,将其增量方程变为微分方程。其优点是在轨迹上下端点中 ,用变量值 (井斜角 ,方位角 )通过代数式和应用程序来计算摩阻与扭矩 ,发现与增量方程迭代而得出的结果是一致的。该方法对井眼轨迹的设计和应用都具有实用价值 ,可供国内研究者参考
In directional wells, selecting the best hole trajectory design and calculating the friction torque of rotary drilling has drawn people’s attention. For the calculation of friction and torque, some equations are based on the assumption that the friction and torque generated by sliding friction are assumed. Taking the microsecond section of the column as an incremental equation, there may be some defects. Based on the differential equations derived from the three bent-well sections, the theoretical and approximate formulas for the assumption that the inclination angles θ and azimuths α do not change simultaneously are derived using algebraic equations and their incremental equations are changed to differential equations. The advantage is that in the upper and lower endpoints of the trajectory, the friction values and torques are calculated by algebraic formulas and applications using variable values (inclination, azimuth) and found to be consistent with the results obtained by iteration of the incremental equations. The method has practical value for the design and application of wellbore trajectories, which can be used by domestic researchers