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

doi:10.11947/j.AGCS.2018.20170547

测绘学报 ›› 2018, Vol. 47 ›› Issue (5): 592-599.doi: 10.11947/j.AGCS.2018.20170547

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^1,2,3, 孙中苗^2,3, 赵俊⁴, 苗岳旺⁴, 肖云^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. 西安测绘研究所, 陕西西安 710054;
4. 西安测绘技术总站, 陕西西安 710054

收稿日期:2017-09-26 修回日期:2018-03-05 出版日期:2018-05-20 发布日期:2018-06-01
作者简介: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
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）

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

GUO Feixiao^1,2,3, SUN Zhongmiao^2,3, ZHAO Jun⁴, MIAO Yuewang⁴, XIAO Yun^2,3

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:2017-09-26 Revised:2018-03-05 Online:2018-05-20 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)

摘要/Abstract

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

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

中图分类号:

P228

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.

GUO Feixiao, SUN Zhongmiao, ZHAO Jun, MIAO Yuewang, XIAO Yun. Regional Ground Surface Mass Variations Inversed by Radial Point-mass Model Method with Spatial Constraints[J]. Acta Geodaetica et Cartographica Sinica, 2018, 47(5): 592-599.

参考文献

[1] 文汉江, 黄振威, 王友雷, 等. 青藏高原及其周边地区水储量变化的独立成分分析[J]. 测绘学报, 2016, 45(1):9-15. DOI:10.11947/j.AGCS.2016.20140447. WEN Hanjiang, HUANG Zhenwei, WANG Youlei, et al. Independent Component Analysis of Water Storage Changes Interpretation over Tibetan Plateau and Its Surrounding Areas[J]. Acta Geodaetica et Cartographica Sinica, 2016, 45(1):9-15. DOI:10.11947/j.AGCS.2016.20140447.
[2] 高春春, 陆洋, 张子占, 等. GRACE重力卫星探测南极冰盖质量平衡及其不确定性[J]. 地球物理学报, 2015, 58(3):780-792. GAO Chunchun, LU Yang, ZHANG Zizhan, et al. Ice Sheet Mass Balance in Antarctica Measured by GRACE and Its Uncertainty[J]. Chinese Journal of Geophysics, 2015, 58(3):780-792.
[3] 卢飞, 游为, 范东明, 等. 由GRACE RL05数据反演近10年中国大陆水储量及海水质量变化[J]. 测绘学报, 2015, 44(2):160-167. DOI:10.11947/j.AGCS.2015.20130753. LU Fei, YOU Wei, FAN Dongming, et al. Chinese Continental Water Storage and Ocean Water Mass Variations Analysis in Recent Ten Years Based on GRACE RL05 Data[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(2):160-167. DOI:10.11947/j.AGCS.2015.20130753.
[4] 邹正波, 罗志才, 吴海波, 等. 日本M_W9.0地震前GRACE卫星重力变化[J]. 测绘学报, 2012, 41(2):171-176. ZOU Zhengbo, LUO Zhicai, WU Haibo, et al. Gravity Changes Observed by GRACE before the Japan M_W9.0 Earthquake[J]. Acta Geodaetica et Cartographica Sinica, 2012, 41(2):171-176.
[5] WAHR J, MOLENAAR M, BRYAN F. Time Variability of the Earth's Gravity Field:Hydrological and Oceanic Effects and Their Possible Detection Using GRACE[J]. Journal of Geophysical Research, 1998, 103(B12):30205-30209.
[6] SWENSON S, WAHR J. Methods for Inferring Regional Surface-mass Anomalies from Gravity Recovery and Climate Experiment (GRACE) Measurements of Time-variable Gravity[J]. Journal of Geophysical Research, 2002, 107(B9):2193.
[7] SWENSON S, WAHR J. Post-processing Removal of Correlated Errors in GRACE Data[J]. Geophysical Research Letter, 2006, 33(8):L08402.
[8] HAN S C, SHUM C K, JEKELI C, et al. Non-Isotropic Filtering of GRACE Temporal Gravity for Geophysical Signal Enhancement[J]. Geophysical Journal International, 2005, 163(1):18-25.
[9] KLOSKO S, ROWLANDS D, LUTHCKE S, et al. Evaluation and Validation of Mascon Recovery Using GRACE KBRR Data with Independent Mass Flux Estimates in the Mississippi Basin[J]. Journal of Geodesy, 2009, 83(9):817-827.
[10] ROWLANDS D D, LUTHCKE S B, MCCARTHY J J, et al. Global Mass Flux Solutions from GRACE:A Comparison of Parameter Estimation Strategies-mass Concentrations versus Stokes Coefficients[J]. Journal of Geophysical Research, 2010, 115(B1):B01403.
[11] KROGH P E, ANDERSEN O B, MICHAILOVSKY C I B, et al. Evaluating Terrestrial Water Storage Variations from Regionally Constrained GRACE Mascon Data and Hydrological Models over Southern Africa-preliminary Results[J]. International Journal of Remote Sensing, 2010, 31(14):3899-3912.
[12] 郭飞霄, 肖云, 汪菲菲. 利用GRACE星间距离变率数据反演地球表层质量变化的Mascon方法[J]. 地球物理学进展, 2014, 29(6):2494-2497. GUO Feixiao, XIAO Yun, WANG Feifei. Mascon Inversion Method of Earth Surface Mass Anomaly Using GRACE Range Rate Data[J]. Progress in Geophysics, 2014, 29(6):2494-2497.
[13] FORSBERG R, REEH N. Mass Change of the Greenland Ice Sheet from GRACE[C]//Proceedings of the 1st Meeting of the International Gravity Field Service.[s.l.]:Harita Dergisi, 2006, 18:454-458.
[14] BAUR O, SNEEUW N. Assessing Greenland Ice Mass Loss by Means of Point-mass Modeling:A Viable Methodology[J]. Journal of Geodesy, 2011, 85(9):607-615.
[15] 苏勇, 于冰, 游为, 等. 基于重力卫星数据监测地表质量变化的三维点质量模型法[J]. 地球物理学报, 2017, 60(1):50-60. SU Yong, YU Bing, YOU Wei, et al. Surface Mass Distribution from Gravity Satellite Observations by Using Three-dimensional Point-Mass Modeling Approach[J]. Chinese Journal of Geophysics, 2017, 60(1):50-60.
[16] SANDBERG SØRENSEN L, JAROSCH A H, ADAL-GEIRSDÓTTIR G, et al. The Effect of Signal Leakage and Glacial Isostatic Rebound on GRACE-derived Ice Mass Changes in Iceland[J]. Geophysical Journal International, 2017, 209(1):226-233.
[17] RAN J, DITMAR P, KLEES R, et al. Statistically Optimal Estimation of Greenland Ice Sheet Mass Variations from GRACE Monthly Solutions Using an Improved Mascon Approach[J]. Journal of Geodesy, 2018, 92(3):299-319.
[18] 林东方, 朱建军, 宋迎春, 等. 正则化的奇异值分解参数构造法[J]. 测绘学报, 2016, 45(8):883-889. DOI:10.11947/j.AGCS.2016.20150134. LIN Dongfang, ZHU Jianjun, SONG Yingchun, et al. Construction Method of Regularization by Singular Value Decomposition of Design Matrix[J]. Acta Geodaetica et Cartographica Sinica, 2016, 45(8):883-889. DOI:10.11947/j.AGCS.2016.20150134.
[19] 徐新禹, 李建成, 王正涛, 等. Tikhonov正则化方法在GOCE重力场求解中的模拟研究[J]. 测绘学报, 2010, 39(5):465-470. XU Xinyu, LI Jiancheng, WANG Zhengtao, et al. The Simulation Research on the Tikhonov Regularization Applied in Gravity Field Determination of GOCE Satellite Mission[J]. Acta Geodaetica et Cartographica Sinica, 2010, 39(5):465-470.
[20] 谢建, 朱建军. 等式约束对病态问题的影响及约束正则化方法[J]. 武汉大学学报(信息科学版), 2015, 40(10):1344-1348. XIE Jian, ZHU Jianjun. Influence of Equality Constraints on Ill-conditioned Problems and Constrained Regularization Method[J]. Geomatics and Information Science of Wuhan University, 2015, 40(10):1344-1348.
[21] 杨帆, 许厚泽, 钟敏, 等. 利用径向基函数RBF解算GRACE全球时变重力场[J]. 地球物理学报, 2017, 60(4):1332-1346. YANG Fan, XU Houze, ZHONG Min, et al. GRACE Global Temporal Gravity Recovery through the Radial Basis Function Approach[J]. Chinese Journal of Geophysics, 2017, 60(4):1332-1346.
[22] SABAKA T J, ROWLANDS D D, LUTHCKE S B, et al. Improving Global Mass Flux Solutions from Gravity Recovery and Climate Experiment (GRACE) through Forward Modeling and Continuous Time Correlation[J]. Journal of Geophysical Research:Solid Earth, 2010, 115(B11):B11403.
[23] 李琼. 地表物质迁移的时变重力场反演方法及其应用研究[D]. 武汉:武汉大学, 2014. LI Qiong. Earth's Surface Mass Transport Recovered from Temporal Gravity Field and Its Applications[D]. Wuhan:Wuhan University, 2014.
[24] KOCH K R, KUSCHE J. Regularization of Geopotential Determination from Satellite Data by Variance Components[J]. Journal of Geodesy, 2002, 76(5):259-268.
[25] 徐天河. 利用CHAMP卫星轨道和加速度计数据推求地球重力场模型[D]. 郑州:信息工程大学. XU Tianhe. Gravity Field Recovery from CHAMP Orbits and Accelerometer Data[D]. Zhengzhou:Information Engineering University, 2004.
[26] 郑秋月, 陈石. 应用GRACE卫星重力数据计算陆地水变化的相关进展评述[J]. 地球物理学进展, 2015, 30(6):2603-2615. ZHENG Qiuyue, CHEN Shi. Review on the Recent Developments of Terrestrial Water Storage Variations Using GRACE Satellite-based Datum[J]. Progress in Geophysics, 2015, 30(6):2603-2615.
[27] 詹金刚, 王勇. 卫星重力捕捉龙滩水库储水量变化[J]. 地球物理学报, 2011, 54(5):1187-1192. ZHAN Jingang, WANG Yong. Detect Water Storage Variation of Longtan Reservoir with GRACE Data[J]. Chinese Journal of Geophysics, 2011, 54(5):1187-1192.

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

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

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	王乐洋, 赵雄, 许文斌, 汪驰升, 方楠, 谢磊. 协方差阵非负约束的赫尔默特方差分量估计[J]. 测绘学报, 2022, 51(3): 351-360.
[2]	徐焕, 于锦海, 安邦, 万晓云. 利用垂直重力梯度异常反演海底地形的解析方法[J]. 测绘学报, 2022, 51(1): 53-62.
[3]	王乐洋, 陈涛, 邹传义. 病态乘性误差模型的加权最小二乘正则化迭代解法及精度评定[J]. 测绘学报, 2021, 50(5): 589-599.
[4]	陈鑑华, 张兴福, 沈云中, 陈秋杰, 李伟超. GOCE卫星重力梯度观测值的时变重力场变化改正及影响分析[J]. 测绘学报, 2021, 50(3): 324-332.
[5]	林东方, 朱建军, 付海强, 张兵. 均方误差意义下的正则化参数二次优化方法[J]. 测绘学报, 2020, 49(4): 443-451.
[6]	邓非, 陈欣, 颜青松, 曲英杰. 带线约束的摄影测量网格变分精化算法[J]. 测绘学报, 2020, 49(4): 469-479.
[7]	黄鸿, 陈美利, 王丽华, 李政英. 空-谱协同正则化稀疏超图嵌入的高光谱图像分类[J]. 测绘学报, 2019, 48(6): 676-687.
[8]	刘晓刚, 孙中苗, 管斌, 范昊鹏. 航空重力测量数据向下延拓的改进Poisson积分迭代法[J]. 测绘学报, 2018, 47(9): 1188-1195.
[9]	朱传东, 刘金钊, 王同庆, 陈兆辉, 张品, 张双喜. GRACE离散时变重力场的大尺度动态变化模型构建分析[J]. 测绘学报, 2018, 47(12): 1581-1590.
[10]	王乐洋, 熊露雲. 一种Partial EIV半参数模型的系统误差处理方法[J]. 测绘学报, 2018, 47(1): 25-34.
[11]	王乐洋, 李海燕, 温扬茂, 许才军. 地震同震滑动分布反演的总体最小二乘方法[J]. 测绘学报, 2017, 46(3): 307-315.
[12]	王燚, 姜效典. 扰动重力梯度的球冠谐分析建模[J]. 测绘学报, 2017, 46(11): 1802-1811.
[13]	林东方, 朱建军, 宋迎春, 何永红. 正则化的奇异值分解参数构造法[J]. 测绘学报, 2016, 45(8): 883-889.
[14]	范千, 张宁. 改进的果蝇优化与Tikhonov正则化相结合的病态问题稳健解法[J]. 测绘学报, 2016, 45(6): 670-676.
[15]	姜兆英, 刘国林, 陶秋香. 短基线集形变模型反演的正则化解算方法[J]. 测绘学报, 2016, 45(5): 566-573.