联合不同类型重力测量数据确定地球重力场模型的迭代法  

Earth's gravitational field model determination from different types of gravimetric data based on iteration method

作　　者：刘晓刚[1,2,3] 庞振兴[1,2] 吴娟[1,2] 

机构地区：[1]西安测绘研究所,西安710054 [2]地理信息工程国家重点实验室,西安710054 [3]武汉大学地球空间环境与大地测量教育部重点实验室,武汉430079

出　　处：《地球物理学进展》2012年第6期2342-2347,共6页Progress in Geophysics

基　　金：国家自然科学基金项目(4114026;4114047;41174017);地球空间环境和大地测量教育部重点实验室开放基金(11-01-03)联合资助

摘　　要：不同的重力测量数据包含了不同波段的地球重力场信息,因此要恢复更高精度的地球重力场模型,就必须对不同类型的重力测量数据进行联合处理.以地面重力异常Δg为例,推导了利用迭代法联合不同类型重力测量数据反演地球重力场模型的基本原理公式,并给出了其具体实现步骤,接着采用全球的重力异常Δg数据和扰动位T数据,基于迭代法对卫星重力梯度SGG数据解算的重力场模型进行了进一步的精化.结果表明,初始的卫星重力梯度SGG模型和经过全球重力异常Δg数据精化后的模型,其对应的累计大地水准面误差分别达到1.128cm和0.048cm、累计重力异常误差分别达到0.416mGal和0.018mGal的精度;在经过全球扰动位T数据进一步精化后的模型,其对应的累计大地水准面误差达到0.043cm、累计重力异常误差达到0.016mGal的精度.Different types of gravimetric data include Earth＇s gravitational field information in different wave bands,so these data should be combined together in the data processing in order to recover the Earth＇s gravitational field model（EGM） in a higher precision.Taking the ground gravity anomaly Δg for example,the fundamental formulae of iteration method used in the recovery of EGM from different types of gravimetric data are deduced with the detailed realization steps given next.Then,the EGM computed by satellite gravity gradient（SGG） data is further refined by global gravity anomaly Δg and disturbing potential T data based on iteration method.The initial EGM computed by SGG data and the iterated EGM refined by global gravity anomaly Δg data are obtained here,of which the cumulative geoid errors are about 1.128 cm and 0.048 cm respectively,while of which the cumulative gravity anomaly errors are about 0.416 mGal and 0.018 mGal.Besides,the cumulative errors of geoid and gravity anomaly of the iterated EGM refined by global disturbing potential T data are about 0.043 cm and 0.016 mGal.

关 键 词：地球重力场模型 迭代法 卫星跟踪卫星 卫星重力梯度 GOCE 

分 类 号：P223[天文地球—大地测量学与测量工程] P312[天文地球—测绘科学与技术]