顾及观测空间信息的CPⅢ网多维粗差可区分能力分析  

Multidimensional Gross Error Separability Analysis in CPⅢNetwork Considering Observation Space Information

作　　者：闫广峰 岑敏仪 YAN Guangfeng;CEN Minyi(School of Geography&Resources Science,Neijiang Normal University,Neijiang 641100,China;Faculty of Geosciences and Environmental Engineering,Southwest Jiaotong University,Chengdu 611756,China)

机构地区：[1]内江师范学院地理与资源科学学院,四川内江641100 [2]西南交通大学地球科学与环境工程学院,四川成都611756

出　　处：《西南交通大学学报》2024年第3期670-676,711,共8页Journal of Southwest Jiaotong University

基　　金：中国博士后科学基金(2019M663555)。

摘　　要：高铁轨道控制网(CPⅢ网)是一个自由测站、自动观测的边角同测后方交会测量网,其观测值间的粗差可区分性除了与控制网设计空间有关外,还会受到全站仪自动观测等观测空间因素的影响.为此,在由粗差判断方程得到CPⅢ网多维观测值粗差可区分能力的设计空间相关关系基础上,考虑CPⅢ网数据采集中全站仪自动观测特点,引入观测值时序相关性,将观测值间的可靠性关系由传统只考虑设计空间影响扩展到综合评价设计空间和观测空间影响,挖掘得到符合CPⅢ网测量实际的多维粗差可区分能力的规律;然后,采用蒙特卡罗方法验证顾及观测空间信息的CPⅢ网多维粗差可区分能力的正确性.研究结果表明:CPⅢ网观测值可靠性会受到观测空间的影响,在粗差探测实践中应予以考虑;CPⅢ网中每个测量边观测值均有粗差发现与定位能力;观测同一个目标点的3个测量边中最多可发现并定位1个测量边中的2个粗差;当测站点无错误时,1个测站观测n个目标点的n个测量边中,最多可以发现并定位└n/2┘个测量边中的2└n/2┘个粗差.The CPⅢnetwork of high-speed railways is a resection surveying network with free station observation and automatic observation,enabling simultaneous edge and angle measurements.The separability of gross errors between observations is not only related to the design space of the control network but also affected by observation space factors such as automatic observation of the total station.Therefore,the gross error judgment equation(GEJE)was used to obtain the design space correlation of the separability of multidimensional gross errors of observations in the CPⅢnetwork.By considering the characteristics of automatic observation of total station during data acquisition in the CPⅢnetwork,the temporal correlation of observations was introduced.The reliability relationship between observations was extended from the traditional consideration of design space effects to the comprehensive evaluation of both design space and observation space effects.The law of multidimensional gross error separability in accordance with the actual measurement of the CPⅢnetwork was obtained.Then,the Monte Carlo method was used to demonstrate the correctness of the separability of multidimensional gross errors in the CPⅢnetwork considering the observation space information.The results show that the reliability of CPⅢobservations will be affected by the observation space,which should be considered in the practice of gross error detection.The observations of each edge in the CPⅢnetwork have gross error detectability and identifiability.At most two gross errors in one edge can be detected and located in the three edges of the same target.If there is no error in the observation station,at most 2└n/2┘gross errors in└n/2┘edges can be detected and located among n edges of one observation station observing n targets.

关 键 词：高速铁路 轨道控制网 观测空间 时序相关性 粗差判断方程 

分 类 号：P207[天文地球—测绘科学与技术]