径向基函数拟合重力大地水准面与GNSS/水准偏差的研究  

Radial function correction model for gravity(quasi-)geoid and geometric(quasi-)geoid deviation

作　　者：杨蔚然 刘焕玲[1,2,3] 文汉江 敖敏思[4] 杨熙 YANG Weiran;LIU Huanling;WEN Hanjiang;AO Minsi;YANG Xi(Chinese Academy of Surveying and Mapping,Beijing 100036,China;Beijing Fangshan Satellite Laser Ranging Nation Observation and Research Station,Beijing 102400,China;Key Laboratory of Surveying and Mapping Science and Geospatial Information Technology,MNR,Beijing 100036,China;Hunan Institute of Geomatics Sciences and Technology,Changsha 410018,China;The Second Geodetic Surveying Institute of Ministry of Natural Resource,Xi’an 710000,China)

机构地区：[1]中国测绘科学研究院,北京100036 [2]北京房山人卫激光国家野外科学观测研究站,北京102400 [3]测绘科学与地球空间信息技术自然资源部重点实验室,北京100036 [4]湖南省测绘科技研究所,长沙410018 [5]自然资源部第二大地测量队,西安710000

出　　处：《导航定位学报》2024年第6期118-127,共10页Journal of Navigation and Positioning

基　　金：湖南省自然科学基金项目(2023JJ60560);武汉引力与固体潮国家野外科学观测研究站开放研究基金资助项目(WHYWZ202213)。

摘　　要：针对重力似大地水准面与实测全球导航卫星系统(global navigation satellite system,GNSS)/水准确定的几何似大地水准面存在偏差的问题,尝试利用球面径向基函数基于重力似大地水准面高程异常和实测GNSS/水准高程异常的差异建立校正模型,以提高区域似大地水准面的精度,试验结果表明:球面径向基函数可以将重力似大地水准面有效校正至几何似大地水准面,校正后GNSS/水准检核点高程异常的差异由7.58 cm减小至4 cm以内;点质量函数、二阶径向多极函数、泊松核函数和二阶泊松小波基函数的校正效果差异在1 mm以内,可忽略不计;相比多项式方法拟合法,球面径向基函数校正方法精度更高,高程异常的精度由3.9 cm提高至3.2 cm以内。To address the issue of discrepancies between the geoid and the physical Earth's geoid as determined by the global navigation satellite system(GNSS)and leveling,a correction model based on spherical radial basis functions is proposed.This involves using the differences between the geoid defined by gravity and the GNSS/leveling-derived geoid heights to enhance the accuracy of the regional geoid.The results of this trial show that the spherical radial basis functions can effectively correct the gravity geoid to the geometric geoid;the difference in geoid height anomalies at GNSS/leveling check points is reduced from 7.58 cm to below 4 cm.The correction effects of the point mass function,second-order radial multipole function,Poisson kernel function,and second-order Poisson wavelet basis function differ by less than 1 mm,which is negligible.Compared to the method of fitting with polynomial functions,the spherical radial basis function correction technique achieves higher precision,improving the accuracy of the elevation anomalies from 3.9 cm to below 3.2 cm.

关 键 词：球面径向基函数 重力场模型 似大地水准面 拟合模型 高程异常 

分 类 号：P223[天文地球—大地测量学与测量工程]