利用改进的Stokes-Helmert边值理论解算高精度似大地水准面

doi:10.13474/j.cnki.11-2246.2017.0246

测绘通报 ›› 2017, Vol. 0 ›› Issue (8): 13-18.doi: 10.13474/j.cnki.11-2246.2017.0246

利用改进的Stokes-Helmert边值理论解算高精度似大地水准面

李德强

临沂市国土资源局测绘院, 山东临沂 276000

收稿日期:2017-04-24 出版日期:2017-08-25 发布日期:2017-08-29
作者简介:李德强(1975-),男,高级工程师,研究方向为大地测量、地图制图与地理信息工程。E-mail:280696113@qq.com

High Precision Quasi-geoid Computations Using Improved Stokes-Helmert Boundary Value Problem

LI Deqiang

Linyi Institute of Land Surveying and Mapping, Linyi 276000, China

Received:2017-04-24 Online:2017-08-25 Published:2017-08-29

摘要/Abstract

摘要： 利用改进的Stokes-Helmert边值问题实现了临沂市厘米级似大地水准面精化。首先，基于Stokes理论和Molodensky理论，联合精密确定地表及其外部扰动引力位的严密解算理论，给出Stokes-Helmert边值问题的数学描述，以及直接地形影响和间接地形影响的严密理论表达式；然后，利用多源观测资料，根据"移去-恢复"技术构建临沂高精度的重力似大地水准面模型；最后，利用GPS/水准高程异常对重力似大地水准面模型进行控制拟合，求得最终的大地水准面模型，其外符合精度达到1.6 cm。

关键词: 似大地水准面精化, Stokes-Helmert法, 多面函数拟合, 地形影响

Abstract: Using the improved Stokes-Helmert boundary value problem, centimeter-order quasi-geoid over Linyi city have been established. Firstly, based on the Stokes theory and Molodensky theory, and making use of the achievements of rigorous solution for disturbing gravitational potential near the surface and exterior of the earth,the mathematical forms of Stokes-Helmert boundary value problem was derived, and the computational formula of direct and indirect topographic effect on the geoid were given. Secondly, the multi-source hetemgeneous data and information were combined to compute the gravimetric quasi-geoid model based on the improved Stokes-Helmert method and the well-known "remove-restore" technology. Finally, the combined adjustment of GPS/leveling height anomaly and gravimetric quasi-geoid data were conducted to obtain the final quasi-geoid model. Numerical results showed that the external accuracy reached 1.6 cm.

Key words: quasi-geoid computations, Stokes-Helmert method, multi-surface function fitting, topographic effect

中图分类号:

李德强. 利用改进的Stokes-Helmert边值理论解算高精度似大地水准面[J]. 测绘通报, 2017, 0(8): 13-18.

LI Deqiang. High Precision Quasi-geoid Computations Using Improved Stokes-Helmert Boundary Value Problem[J]. 测绘通报, 2017, 0(8): 13-18.

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利用改进的Stokes-Helmert边值理论解算高精度似大地水准面

High Precision Quasi-geoid Computations Using Improved Stokes-Helmert Boundary Value Problem

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