基于布格重力异常的移去-恢复法的高程异常拟合  

Height anomaly fitting based on the removal-recovery method of Bouguer gravity anomaly

作　　者：张娜 ZHANG Na(Service Center of Natural Resources Affairs of Liaoning Province,Jinzhou 121003,China)

机构地区：[1]辽宁省自然资源事务服务中心,辽宁锦州121003

出　　处：《经纬天地》2025年第2期6-9,共4页Survey World

摘　　要：高程异常是似大地水准面至地球椭球面的垂直距离,通过大地高和高程异常值来求取正常高是常用方法。移去-恢复法通过移去地形项重力异常减少高程异常的拟合范围,从而提高拟合精度。基于布格重力异常的计算过程,获得地形和层间改正值,并转换为对似大地水准面的影响,在高程异常中移去该影响,获得经地形改正的剩余高程异常值,最终采用常规数学模型进行拟合。试验结果表明:使用布格重力异常计算替代了传统移去-恢复法中的重力场模型计算,可有效提高高程异常拟合精度。结合实例计算,基于布格重力异常的移去-恢复法的高程拟合在最小二乘配置法、多项式法、半参数模型法上分别实现了36.15%、52.36%、0.46%的精度提升。Height anomaly is the vertical distance between the quasi-geoid and the reference ellipsoid.The common method for determining normal height is through the use of geodetic height and height anomaly.The removal-recovery method reduces the fitting range of height anomaly by removing the gravity anomaly of the terrain term and thereby improves the fitting accuracy.Based on the calculation process of Bouguer gravity anomaly,terrain and interlayer correction values are obtained and converted into the influence on the quasi-geoid.This influence is removed from the height anomaly to obtain the remaining height anomaly values corrected by terrain and the final fitting was performed by using conventional mathematical models.The experimental results indicate that using Bouguer gravity anomaly calculation instead of the traditional removal-recovery method for gravity field model calculation can effectively improve the accuracy of height anomaly fitting.Based on the example calculation,the elevation fitting of the removalrecovery method based on Bouguer gravity anomaly respectively achieved an accuracy improvement of 36.15%,52.36%,and 50.46%on the least squares configuration method,polynomial method and semi parametric model method.

关 键 词：布格重力异常 移去-恢复 高程异常 似大地水准面 

分 类 号：P216[天文地球—测绘科学与技术] P224