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根据两个线性关系可以建立起钻孔轴线似螺(纹)线模型。该模型涉及以下十四个参数:钻孔开孔和设计穿过点的坐标及高程X_0,Y_0,H_0和X_1,Y_1,H_1;自开孔至设计穿过点的孔深增量△L,以及该段孔轴的水平投影长△S;开孔孔轴和设计穿过点孔轴的方位角及天顶角ω_0＇γ_0＇和ω_1＇γ_1＇孔轴天顶角随孔深的变化率a_1和方位角随孔轴水平投影长的变化率b_1该模型共确定了六个关系式。上述十四个参数中:X_1,Y_1,H_1是已知的,其余十一个参数只要给定其中的五个参数,其它六个参数即可计算出来。给定待求参数是那些,是依其解决的不同问题而异的。该文讨论了与自然弯曲钻孔设计和人工弯曲定向钻孔设计有关的四种问题的计算方法。提供了计算钻孔孔轴上任意点轴线的全曲率公式。
Based on the two linear relationships, we can establish the axis-like screw thread pattern. The model involves the following fourteen parameters: coordinates and elevations of drilling openings and design passing points X_0, Y_0, H_0 and X_1, Y_1, H_1; hole depth increment △ L from the opening to the design passing point, And the long axis of the horizontal projection of the long axis △ S; open hole axis and design through the hole axis azimuth and zenith angle ω_0’γ_0 ’and ω_1’γ_1’ axis zenith angle with the hole rate of change a_1 and rate of change of azimuth with long horizontal projection of aperture axis b_1 There are totally six relations determined by this model. Among the above fourteen parameters: X_1, Y_1, H_1 are known, and the remaining eleven parameters are given as long as five of them are given, and the other six parameters can be calculated. Given the parameters to be sought are those that are different depending on the problem being solved. This article discusses the calculation of four problems related to natural curved borehole design and artificial curved directional borehole design. A full-curvature formula for calculating the axis of any point on the axis of a hole is provided.