附加空间约束的径向点质量模型方法反演区域地表质量变化

郭飞霄; 孙中苗; 赵俊; 苗岳旺; 肖云

doi:10.11947/j.AGCS.2018.20170547

测绘学报 >

2018 , Vol. 47 >Issue 5: 592 - 599

DOI: https://doi.org/10.11947/j.AGCS.2018.20170547

大地测量学与导航

附加空间约束的径向点质量模型方法反演区域地表质量变化

郭飞霄 ,
孙中苗 ,
赵俊 ,
苗岳旺 ,
肖云

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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. 西安测绘研究所, 陕西西安 710054;
4. 西安测绘技术总站, 陕西西安 710054

郭飞霄(1988-),男,博士生,工程师,研究方向为卫星重力数据处理与应用。E-mail:gravity_gfx@126.com

收稿日期: 2017-09-26

修回日期: 2018-03-05

网络出版日期: 2018-06-01

基金资助

国家重点基础研究发展（973）计划（2013CB733303）；国家自然科学基金（41674082）；大地测量与地球动力学国家重点实验室开放基金（SKLGED2017-3-2-E）

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Regional Ground Surface Mass Variations Inversed by Radial Point-mass Model Method with Spatial Constraints

GUO Feixiao ,
SUN Zhongmiao ,
ZHAO Jun ,
MIAO Yuewang ,
XIAO Yun

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1. Information and Engineering University, Zhengzhou 450001, China;
2. State Key Laboratory of Geo-information Engineering, Xi'an 710054, China;
3. Xi'an Research Institute of Surveying and Mapping, Xi'an 710054, China;
4. Xi'an Technology Station of Surveying and Mapping, Xi'an 710054, China

Received date: 2017-09-26

Revised date: 2018-03-05

Online published: 2018-06-01

Supported by

The National Key Basic Research Program of China (No.2013CB733303);The National Natural Science Foundation of China (No.41674082);The Open Foundation of State Key Laboratory of Geodesy and Earth's Dynamics (No.SKLGED2017-3-2-E)

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摘要

径向点质量模型反演方法本质上是空间扰动重力的向下延拓，属于病态问题，通常采用正则化方法求解。针对该问题，对径向点质量模型方法进行改进，提出附加空间约束的径向点质量模型方法，引入符合实际的空间约束条件，建立空间约束条件的虚拟观测方程，并采用赫尔默特方差分量估计确定原始观测方程和虚拟观测方程的合理权比，使反演结果更加稳定。以南美大陆区域为研究区域进行陆地水储量变化反演，试验结果表明：增加空间约束后，法方程组条件数明显减小、病态程度降低，反演结果与球谐系数法反演结果、GLDAS模型结果整体相一致，验证了方法的正确性，说明该方法可有效应用于区域地表质量变化反演，为利用卫星重力监测地表质量变化提供了一种新途径。

关键词： GRACE卫星; 时变重力场; 点质量模型; 空间约束; 正则化; 赫尔默特方差分量估计

本文引用格式

郭飞霄 , 孙中苗 , 赵俊 , 苗岳旺 , 肖云 . 附加空间约束的径向点质量模型方法反演区域地表质量变化[J]. 测绘学报, 2018 , 47(5) : 592 -599 . DOI: 10.11947/j.AGCS.2018.20170547

Abstract

Radial point-mass model method is the disturbance gravity downward continuation in essence, which is an ill-posed problem. In general, the regularization method is an efficient way to get the reliable solution. To solve this problem, the radial point-mass model method is improved by using Helmert variance component estimation with adding spatial constraints from a practical point of view. Taking South America continent as study area, radial point-mass model method with spatial constraints is verified by experimental results. The experiments results show that the condition number of normal equations is decreasing obviously after adding spatial constraints. The inversion results of radial point-mass model method with spatial constraints are consistent with results of other methods. Furthermore, the radial point-mass model method with spatial constraints provides an alternative way to monitor regional surface mass variations by satellite gravimetry.

Key words： GRACE satellite; time-variable gravity; point-mass model; spatial constraints; regularization; Helmert variance component estimation

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