基于卫星重力场模型约束的航空重力数据建模方法研究  

Research on airborne gravity data modeling method based on constraints of satellite gravity field model

作　　者：马志伟 边少锋 秦永志 刘杰 陈洋 MA Zhiwei;BIAN Shaofeng;QIN Yongzhi;LIU Jie;CHEN Yang(School of Engineering Management and Real Estate,Henan University of Economics and Law,Zhengzhou 450000,China;Ministry of Education Key Laboratory of Geological Survey and Evaluation,China University of Geosciences(Wuhan),Wuhan 430074,China;Troops 61206,Beijing 100042,China;School of Surveying and Land Information Engineering,Henan Polytechnic University,Jiaozuo,Henan 454003,China;Modern Education Technology Center,Henan Medical College,Zhengzhou 451191,China)

机构地区：[1]河南财经政法大学工程管理与房地产学院,郑州450000 [2]中国地质大学(武汉)地质探测与评估教育部重点实验室,武汉430074 [3]中国人民解放军61206部队,北京100042 [4]河南理工大学测绘与国土信息工程学院,河南焦作454003 [5]河南医学高等专科学校现代教育技术中心,郑州451191

出　　处：《测绘科学》2023年第10期78-89,共12页Science of Surveying and Mapping

基　　金：国家自然科学基金项目(42104087);河南省自然科学基金项目(232300421401)。

摘　　要：针对地形复杂地区航空重力数据的有效利用及大地水准面模型的精化问题,该文利用径向基函数(SRBF),提出了采用纯卫星重力场模型(GGM)数据对航空重力数据进行约束,进而构建研究地区高精度的中短波重力场模型的方法。模型构建过程中综合考虑了SRBF建模的多种影响因素,包括径向基函数展开阶次、径向基函数格网、边缘效应、参考重力场模型移去阶次及剩余地形模型移去阶次等。实验结果显示,参考重力场模型的移去阶次与径向基函数展开阶次对建模结果有显著影响,在建模前确定出最佳的参考场移去阶次及重力数据的展开阶次显得非常重要。通过与单独由航空重力数据建立的重力场模型相比,融合重力场模型的大地水准面精度提高了约0.7~2.2 cm。另外与同等频谱范围的EGM08模型相比,所构建融合重力场模型的大地水准面分布与前者高度相关,表明了约束建模方法的可靠性,适用于地形较为复杂的山区和沿海地带。In response to the effective utilization of airborne gravity data in complex terrain areas and the refinement of geoid models, this paper proposes a method of using spherical radial basis functions(SRBF) to constrain airborne gravity data using pure satellite gravity model(GGM) data, thereby constructing a high-precision medium and short wave gravity field model for the study area. During the model construction process, various influencing factors of SRBF modeling were comprehensively considered, including the order of radial basis function expansion, radial basis function grid, edge effects, reference gravity field model removal order, and residual terrain model removal order. The experimental results show that the removal order of the reference gravity field model and the expansion order of the radial basis function have a significant impact on the modeling results. It is very important to determine the optimal removal order of the reference field and the expansion order of the gravity data before modeling. Compared with the gravity field model established solely from aerial gravity data, the accuracy of the geoid improved by approximately 0.7~2.2 cm by integrating the gravity field model. In addition, compared with the EGM08 model with the same spectral range, the geoid distribution of the constructed fusion gravity field model is highly correlated with the former, indicating the reliability of the constraint modeling method and its applicability to mountainous and coastal areas with complex terrain.

关 键 词：径向基函数 重力场建模 航空重力数据 卫星重力数据 

分 类 号：P223[天文地球—大地测量学与测量工程]