用加权残值最小二乘法计算下部组合钻具的变形和受力

COMPUTING THE FORCE ON BOTTOM HOLE ASSEMBLY AND DEFLECTION BY LEAST SQUARE METHOD OF WEIGHTED RESIDUALS

下部组合钻具可简化为—受横向力和轴向力作用的多跨度的连续梁、本文用加权残值最小二乘法计算一个多扶正器钻具组合的变形和受办,给出计算钻头侧向力,扶正器的约束反力和扶正器处的内弯矩的理论公式。在计算过程中,本文考虑了扶正器不在同一直线上的情况。

The bottom hole assembly may be regarded as the continuous beam to which the axial force and the transverse force apply. This paper uses the elemental principle of least square method of weighted residuals to compute the force on a multi-stabilized bottom hole assembly and deflection, gives the theoretical formulas of computing the internal bending moments at stabilizer, the side force on bit and the reactive force at stabilizer. In computing, this paper already considers the condition that the stabilizers are not in line.