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分析了下部／导向钻具的受力状态，建立了下部／导向钻具三维静力分析的微分方程、确立了钻头处、稳定器或接触点处、弯角处、切点处和井壁的边界条件；考虑钻头与地层的作用力、钻头各向异性、地层各向异柱和地层倾向、倾角等因素的影响，建立了以矩阵形式表达的各向异性钻头与正交各向异性地层相互作用的三维钻速方程；根据实际钻进时，井眼轨道除个别点外是光滑的，横向钻在为零，建立了井眼轨迹预测的目标函数：该模型既可以计算井斜角的变化，又可以计算方位角的变化，较其它轨迹预测方法具有明显的理论上的先进性和实际应用上的可靠性，在水平钻井中得到了验证。
The stress state of the lower part / pilot drill is analyzed, and the differential equation of the three-dimensional static analysis of the lower part / pilot drill is established, and the position of the drill bit, stabilizer or contact point, corner, Boundary conditions. Considering the interaction between drill bit and formation, bit anisotropy, formation anisotropy, formation propensity and dip, the anisotropic drill bit expressed in matrix form an orthogonal anisotropic formation And the 3D drilling rate equation. According to the actual drilling, the wellbore trajectory is smooth except for some points and the horizontal drilling is zero. The objective function of wellbore trajectory prediction is established. The model can calculate the change of the inclination angle , And can calculate the change of azimuth angle. Compared with other trajectory prediction methods, it has obvious theoretical advancedness and practical application reliability, and has been verified in horizontal drilling.