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本文提出了一种新的分析钻柱在恒定曲率井眼中（例如水平井的造斜段）的钻柱弯曲特性的三维管柱弯曲的数学模型，该方程能够预测钻柱维持稳定正弦形状和产生螺旋弯曲变形所需的轴向压力，简化后亦适用于井眼半径无限大的斜井。
This paper presents a new mathematical model for the analysis of three-dimensional string bending of drill string bending characteristics in a constant-curvature borehole such as a horizontal well, which predicts the drill string maintains a stable sinusoidal shape and produces The axial pressure required for helical bending deformation, after simplification, also applies to inclinations where the borehole radius is infinite.