关于水准测量高差重力异常改正方法的探讨  

Discussion on correction of gravity anomaly in leveling height difference

作　　者：田子钰 游为 李杨 展迪 刘文肖 宋健[3] Tian Ziyu;You Wei;Li Yang;Zhan Di;Liu Wenxiao;Song Jian(School of Earth Sciences and Environmental Engineering,Southwest Jiaotong University,Chengdu 610097,China;Guangxi XCC Rail Transit Industrial Technology R&D Co.,Ltd.,Nanning 530000,China;China Railway Second Academy Engineering Group Co.,Ltd.,Chengdu 610031,China)

机构地区：[1]西南交通大学地球科学与环境工程学院,成都610097 [2]广西西交轨道交通产业技术研发有限公司,南宁530000 [3]中铁二院工程集团有限责任公司,成都610031

出　　处：《工程勘察》2024年第7期65-74,共10页Geotechnical Investigation & Surveying

摘　　要：为了实现在没有条件实测重力和检索布格重力异常数据库的地区进行水准测量高差的重力异常改正,满足水准测量闭合差的限差要求,本文利用多种重力场模型计算的空间重力异常和不同插值方法得到的布格重力异常,对某隧道水准测量高差进行重力异常改正。根据误差传播定律计算重力异常中误差,分析三种不同正常重力平均值的计算公式对水准测量闭合差的影响。实例计算结果表明,在所有外业限差满足要求,但水准测量闭合差仍然超限的情况下,通过利用重力场模型和布格重力异常计算的重力异常改正对高差测量值进行改正后,两种方法均能使闭合差满足限差要求,部分布格重力异常插值方法优于重力场模型。同时验证三种重力异常改正的近似公式对结果影响并不大,可基于实际情况采用不同的公式进行计算。以上结论可为地形起伏较大地区的水准测量重力异常改正计算提供参考。According to the fact that there are areas where gravity measurements are not available and there is no ability to search the Bouguer gravity anomaly database,in order to correct the gravity anomaly of leveling in these areas to meet the requirement of the closing error limit,this paper gets the spatial gravity anomaly by using a variety of gravity field models and the Bouguer gravity anomaly is obtained by using different interpolation methods.The error in gravity anomaly is calculated according to the law of error propagation and the result is verified.The influence of gravity anomaly correction on leveling closure difference is analyzed.The results show that when all the field limits meet the requirements but the leveling closure difference still exceeds the limits,by using the gravity field model or Bouguer gravity anomaly method to correct the height difference measurements,the levelling closure difference can all meet the requirement of limit error,and the partial Bouguer gravity anomaly interpolation method is better than the gravity field model.The above conclusion can provide reference for the correction of leveling gravity anomaly in the area with large topographic relief.

关 键 词：重力异常改正 重力场模型 布格重力异常 

分 类 号：P223[天文地球—大地测量学与测量工程]