横振钻井模式下PDC钻头切削齿工作角度计算

CALCULATION ON A CUTTING ANGLE OF PDC CUTTER UNDER DRILLING WITH LATERAL MOVEMENT

PDC钻头切削齿的切削载荷与齿的切削工作角度有直接而密切的关系,所以正确地分析和计算齿的切削角度,是齿的切削载荷以及钻头工作载荷分析的基础和前提。对横振钻井模式下PDC钻头切削齿的切削工作角度作了严格的定义,利用空间解析几何以及向量分析的数学理论和方法,推导出齿刃轮廓线上任意点的前倾角和刃倾角的计算公式,分析和探讨了钻头的横向运动速度对PDC齿切削工作角度的影响规律。

Since the cutting force of PDC cutter is related directly and closely to its cutting angle,correct calculation and analysis on its cutting angle is the basis and premise for analyzing cutting force and bit operating load.So,a cutting angle of PDC cutter under drilling with lateral movement is given a strict definition,the calculating formula of the inclination and cutting edge inclination at any point of blade contour is then deduced and the influencing rule of bit's lateral drilling rate on a cutting angle of PDC cutter is probed in-depth.This study provides basic references to calculate and analyze operating load of PDC cutter and PDC bit under drilling with lateral movement.