本文在以钻头中心线为Z轴,钻头顶部端面为XOY平面所建立的空间坐标系OXYZ中,推导了射流轴线方程及井底形状曲面方程,从而提出了确定牙轮钻头喷射射流冲击井底位置及喷距计算的一种解析方法,并给出了计算机程序框图及计算示例。与原来的图解法相比,解析法具有简单、准确及通用性好等特点,为钻头设计及喷射钻井参数设计提供了方便。 In this paper, the center axis of the drill bit is taken as the Z axis and the top of the drill bit is set as the coordinate system OXYZ of the XOY plane. The jet axis equation and the shape equation of the bottom hole shape are derived. And the distance calculation of a analytical method, and gives the computer program block diagram and calculation examples. Compared with the original graphic method, the analytical method is simple, accurate and versatile. It provides convenience for bit design and jet drilling parameter design.