两尺度径向基函数法构建沿海地区重力场模型  

Gravity field modeling for coastal areas using two-scale spherical radial basis function method

作　　者：马志伟 边少锋[2] 陈永冰[2] 纪兵[2] MA Zhiwei;BIAN Shaofeng;CHEN Yongbing;JI Bing(School of Engineering Management and Real Estate,Henan University of Economics and Law,Zhengzhou 450046,China;Naval University of Engineering,Department of Navigation Engineering,Wuhan 430033,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450046 [2]海军工程大学导航工程教研室,武汉430033

出　　处：《测绘科学》2024年第9期39-53,共15页Science of Surveying and Mapping

基　　金：国家自然科学基金项目(42104087,42342024,42074010)。

摘　　要：针对地球重力场在复杂沿海地区精度欠佳问题,采用两尺度带限球面径向基函数(SRBF)建模技术,构建了加利福尼亚和俄勒冈州沿海地区高精度的局部重力场模型。利用纯卫星重力场模型数据对航空重力数据进行约束,构建了研究区域中尺度的融合重力场模型(第一次SRBF建模)。在移去低频和中频重力场模型信号以及残余地形模型信号的基础上,利用残余多源重力数据实施了细尺度(高频)SRBF建模过程(第二次SRBF建模)。通过与GPS/水准数据比较,两尺度SRBF模型在陆地区域的大地水准面精度为0.095 m,比单尺度SRBF模型、EGM08和XGEOID17RefB模型分别提高了0.035~0.043、0.050和0.032 m,显示了两尺度SRBF建模方法的优越性。两尺度带限SRBF建模技术不仅有效提升了复杂沿海地区重力场模型的精度,而且能够为其他复杂地区重力场模型的构建提供参考。Addressing the issue of insufficient accuracy of gravity field in complex coastal areas,this study employs the two-scale band-limited spherical radial basis function(SRBF)modeling technology to construct local gravity field models for California and Oregon's coastal regions.Firstly,satellite-only gravity field model data were used to constrain airborne gravity data,and a combined mesoscale gravity field model based on band-limited SRBFs in the coastal areas of California and Oregon was established(the first SRBF modeling).Secondly,after removing the signals from the low-frequency and medium-frequency gravity field model as well as the residual terrain model(RTM)signals,a second SRBF modeling process was implemented using residual multisource gravity data(the second SRBF modeling).Compared to GPS/leveling data,the two-scale SRBF model achieved a geoid accuracy of 0.095 m in the land areas,which is an improvement of 0.035-0.043 m over the single-scale SRBF model,0.050 m over the EGM08,and 0.032 m over the XGEOID17RefB model,highlighting the superiority of the two-scale SRBF modeling approach.The two-scale band-limited SRBF modeling technique proposed in this study not only effectively enhances the accuracy of gravity field models in complex coastal areas,but also provides a reference for the construction of gravity field models in other complex regions.

关 键 词：带限径向基函数 双尺度SRBF建模法 局部重力场建模 多源重力数据融合 复杂沿海地区 

分 类 号：P228[天文地球—大地测量学与测量工程]