井下等边直伸形方向附合导线优化方法及平差通用模型研究

为了解决井下控制测量中陀螺仪定向边位置优化以及方向附合导线平差问题，综合运用理论研究和模拟分析方法，开展了井下等边直伸形方向附合导线优化方法及平差通用模型研究，主要获得如下结论：①基于拉格朗日乘数法讨论了等距离加测陀螺定向边为井下最优方向附合导线形式的理论依据，并进一步分析了不同贯通类型、不同定向精度时陀螺定向边加测的规律；②基于条件平差推导了井下任意条陀螺仪定向边导线平差模型，并利用模拟的方向附合导线算例验证了模型的正确性。研究成果对井下方向附合导线优化和数据处理具有重要参考价值。

Research on Optimization Method and General Model of the Adjustment of the Underground Equilateral Straight-extended form of Connecting Traverse

In order to solve the problem of the optimization of the observed peg-top azimuths position and the adjustment of the direction connecting traverse,in this paper,the theory and simulation analysis method are used to carry out the research on the optimization method and the general model of the adjustment of the underground equilateral straight-extended form of connecting traverse. The main conclusions are as follows:①Based on Lagrange's extreme value method,it is proved that the e-qual distance is the best form to measure the observed peg-top azimuths,and obtain the law of the position of the observed peg-top azimuths with different types and different orientation accuracy.②Based on the adjustment of the condition observations, this paper establishes the model of the Direction connecting traverse adjustment of the peg-top azimuths,and verifies the cor-rectness of the model with the simulative example of a direction connecting traverse. The results of research have important ref-erence for the optimization of the underground direction connecting traverse connection and data processing.