摘要
加测陀螺边是井下导线控制网精度保障的有效措施,传统处理加测陀螺边导线控制网的方法是将陀螺观测量与导线测量观测量一起纳入平差模型,应用最小二乘原则求解模型参数。传统方法无法顾及受井下通视条件与作业环境限制引起的观测量中误差积累显著,观测向量与系数矩阵中都含有随机误差对模型参数求解的影响。应用总体最小二乘准则,建立井下导线控制网数据处理模型;基于拉格郎日函数,给出模型参数的迭代算法;针对观测向量与模型系数矩阵中含有粗差的情况,应用Huber权函数实现选权迭代的抗差总体最小二乘算法。应用某矿两井定向中加测陀螺边的导线控制测量数据对算法进行验证,并与传统算法进行比较。
Control network with additional gyro-side is useful for accuracy of underground traverse,traditional method for control traverse with additional gyro-side is to apply least squares estimation to compute parameters of model taking gyro azimuth and observation data of traverse as variables.However,the method based on least squares estimation can not take into account the fact that both observation vector and coefficient matrix have random error,and the work environment may lead that observation data has gross error which has influence on computing parameters of model.To overcome the shortage of traditional method,solution for control traverse based on total least squares is proposed in this paper.To take into account the condition that both observation vector and coefficient matrix of mathematical model have random error,and to get over the influence that gross error existing in observation vector and coefficient matrix have,the iterative algorithm based on Lagrange function is presented to solve the problem,and Huber function is also applied to overcome the influence that gross error has on computing the parameters.At the last of paper,an instance of control traverse with gyro-side is used to demonstrate the proposed solution to be feasible,and differences of accuracy among the proposed solution and traditional algorithms are also discussed.
作者
司亚君
何燕兰
Si Yajun;He Yanlanr(Jiansu Geologic Surveying and Institute,Nanjing 211102,China)
出处
《城市勘测》
2018年第2期128-132,共5页
Urban Geotechnical Investigation & Surveying
关键词
陀螺定向
导线控制测量
抗差估计
总体最小二乘
gyroscopic orientation
control traverse
robust estimation
total least squares
