利用大地边值问题方法统一全球高程基准

doi:10.13474/j.cnki.11-2246.2018.0115

测绘通报 ›› 2018, Vol. 0 ›› Issue (4): 83-87.doi: 10.13474/j.cnki.11-2246.2018.0115

利用大地边值问题方法统一全球高程基准

赵德军^1,2,3, 徐新强^2,3, 欧阳明达^2,3

1. 信息工程大学地理空间信息学院, 河南郑州 450001;
2. 地理信息工程国家重点实验室, 陕西西安 710054;
3. 西安测绘总站, 陕西西安 710054

收稿日期:2017-07-18 出版日期:2018-04-25 发布日期:2018-05-03
作者简介:赵德军(1979-),男,博士生,工程师,主要从事全球高程基准统一的研究。E-mail:xiaosanzhi@163.com
基金资助:
地理信息工程国家重点实验室开放基金（SKLGIE2015-M-1-2；SKLGIE2016-M-3-2）

Global Height Datum Unification Using Geodetic Boundary Value Problems Algorithm

ZHAO Dejun^1,2,3, XU Xinqiang^2,3, OUYANG Mingda^2,3

1. Institute of Geospatial Information, Information Engineering University, Zhengzhou 450001, China;
2. State Key Laboratory of Geo-Information Engineering, Xi'an 710054, China;
3. Xi'an Surveying and Mapping Technical Center, Xi'an 710054, China

Received:2017-07-18 Online:2018-04-25 Published:2018-05-03

摘要/Abstract

摘要：

为解决世界各国高程基准差异的问题，提出联合卫星重力场模型、地面重力数据、GNSS大地高、局部高程基准的正高或正常高，按大地边值问题法确定局部高程基准重力位差的方法。首先推导了利用传统地面"有偏"重力异常确定高程基准重力位差的方法；接着利用改化Stokes核函数削弱"有偏"重力异常的影响，并联合卫星重力场模型和地面"有偏"重力数据，得到独立于任何局部高程基准的重力水准面，以此来确定局部高程基准重力位差；最后利用GNSS+水准数据和重力大地水准面确定了美国高程基准与全球高程基准W₀的重力位差为-4.82±0.05 m²s^-2。

关键词: 高程基准, 高程基准统一, 重力位差, 大地边值问题, 正高, 正常高

Abstract:

In order to unify height datums in different countries,an algorithm based on geodetic boundary value problems (GBVP) is presented,which utilizes satellite gravity field models,terrestrial gravimetric data,GNSS geodetic heights,orthometric heights or normal heights.First of all,the algorithm to determinate height datum geopotential difference using conventional terrestrial "biased" gravity anomalies is deduced.Secondly,the indirect biased term is neglected by using modified Stokes kernel function.A geoid that is not related to any local vertical datums is obtained by combining satellite-only gravity field models and terrestrial "biased" gravity anomalies.That independent geoid is then adapted to determinate height datum geopotential difference.At last,the geopotential difference between US vertical datum (NAVD88) and world geoidal geopotential W₀ is determined through GBVP by combining GNSS/leveling benchmark data and gravity geoid,which is about -4.82±0.05 m²s^-2.

Key words: height datum, height datum unification, geopotential difference, geodetic boundary value problems (GBVP), orthometric height, normal height

中图分类号:

赵德军, 徐新强, 欧阳明达. 利用大地边值问题方法统一全球高程基准[J]. 测绘通报, 2018, 0(4): 83-87.

ZHAO Dejun, XU Xinqiang, OUYANG Mingda. Global Height Datum Unification Using Geodetic Boundary Value Problems Algorithm[J]. 测绘通报, 2018, 0(4): 83-87.

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利用大地边值问题方法统一全球高程基准

Global Height Datum Unification Using Geodetic Boundary Value Problems Algorithm

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