利用半自由点质量模型拟合局部(似)大地水准面  

Research on Area Quasigeoid/Geoid Determination Based on Semi-Free Point Mass Model

作　　者：况代智[1] 冯进凯 李伟 KUANG Daizhi;FENG Jinkai;LI Wei(College of Resources and Environmental Sciences,Quanzhou Normal University,398 Donghai Street,Quanzhou 362000,China;School of Surveqing and Mapping,Information Engineering University,62 Kexue Road,Zhengzhou 450001,China;Weizhi Co Ltd,7-1 Yingbin Road,Quanzhou 362200,China)

机构地区：[1]泉州师范学院资源与环境科学学院,泉州市东362000 [2]信息工程大学地理空间信息学院,郑州市450001 [3]伟志股份公司,泉州市362200

出　　处：《大地测量与地球动力学》2019年第10期1027-1032,共6页Journal of Geodesy and Geodynamics

基　　金：泉州市科技局计划项目(2016Z072)~~

摘　　要：为提高GPS/水准法拟合(似)大地水准面的精度,基于重力场等效逼近理论,建立一种半自由点质量模型。顾及相邻点之间的关系并结合高程异常与扰动位之间解析式的特殊性,提出确定模型参数(埋深和大小)的迭代算法,通过拟合点下方多个不同埋深质点实现重力场元的多频段拟合,并利用不同条件的实验数据进行拟合实验。结果表明,利用该模型进行(似)大地水准面拟合是可行的,其精度较传统的Kriging/Co-Kriging法高。To improve the accuracy of quasigeoid/geoid determination based on GPS/leveling,we present a new approach to fit quasigeoid/geoid called semi-free position point mass,based on the gravity field approximation principle.Compared with the traditional point mass model,the plan coordinates of the new model are stationary,while the depths are free.The method is established by a kind of iterative algorithm using the relationship between the nearest points.The gravity parameters are fitted in multi-band by several mass-points under the known data-points with different depths.Three experiments are conducted in different test zones where the data conditions vary.The results show that applying the model to quasigeoid/geoid fitting is feasible,and achieves higher accuracy than Kriging and Co-Kriging method in the test zones.

关 键 词：点质量模型 (似)大地水准面 迭代算法 Kriging法 Co-Kriging法 

分 类 号：P223[天文地球—大地测量学与测量工程]