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铁道科学与工程学报

JOURNAL OF RAILWAY SCIENCE AND ENGINEERING

第12卷    第1期    总第63期    2015年2月

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文章编号:1672-7029(2015)01-0028-07
高铁隧道平面控制网横向贯通误差仿真研究
周凌焱,刘成龙,聂松广,张强,孙维亚

(西南交通大学 地球科学与环境工程学院,四川 成都 611756)

摘 要: 构建附合单导线、导线环网、交叉导线网和自由测站边角交会网等4种常见的高铁隧道洞内仿真平面控制网,利用精度估算的方法计算这4种网型在9种不同隧道长度情况下的横向贯通中误差;基于Box-Muller算法为仿真控制网添加随机误差,利用稀疏矩阵行列压缩技术对附加随机误差的控制网进行快速严密平差计算,从而完成4种隧道洞内平面控制网横向贯通误差的仿真计算工作。计算结果表明自由测站边角交会网的横向摆动相对较小,可以替代传统的洞内导线网;证明隧道洞内平面控制网的横向摆动服从正态分布,适当增加测量次数,可提高隧道的横向贯通精度,对确保长大隧道正确贯通具有参考意义。

 

关键字: 高铁;仿真计算;隧道;平面控制网;横向贯通误差;精度估算;正态分布

Simulation study on lateral breakthrough error for horizontal control network in high-speed railway tunnels
ZHOU Lingyan, LIU Chenglong, NIE Songguang, ZHANG Qiang, SUN Weiya

Faculty of Geosciences and Environmental Engineering, Southwest Jiaotong University, Chengdu 611756, China

Abstract:Firstly, 4 common horizontal simulation control networks were conducted, including connecting traverse, ring traverse network, cross traverse network and free-station linear-angular intersection network inside tunnel for high speed railway. Then the lateral breakthrough mean square errors were computed in 9 different lengths of tunnels for these 4 types of networks using the method of accuracy estimation. Subsequently, random errors were added to the simulation control nets based on Box-Muller algorithm. Through the quick adjustment for simulation control networks with random errors using the compression technology of sparse matrix in row and column, the simulation calculation was accomplished for these four nets with ease. From the computing results, some conclusions can be made that lateral swing of free-station linear-angular intersection network is relatively small, which could replace the traditional traverse networks, and the lateral swing of horizontal control nets inside tunnel obeys the normal distribution. In this case, the lateral breakthrough precision of tunnels can be improved by increasing the surveying times appropriately, which provides reference value to correct breakthrough of long tunnels.

 

Key words: high-speed railway; simulation; tunnel; horizontal control network; lateral breakthrough error; accuracy estimation; normal distribution

ISSN 1672-7029
CN 43-1423/U

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