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物理大地测量与地球物理正常重力场的同源性研究
引用本文:李斐,刘崇兵.物理大地测量与地球物理正常重力场的同源性研究[J].地球物理学报,2000,43(6):835-841.
作者姓名:李斐  刘崇兵
作者单位:1. 武汉测绘科技大学测绘遥感信息工程国家重点实验室,武汉430079; 2. 武汉测绘科技大学现代地球动力学部级重力实验室,武汉430079
基金项目:国家自然科学基金项目!( 49774 2 1 2,4 972 541 1 ),测绘科技发展基金项目!(980 0 9)
摘    要:论述了物理大地测量与地球物理中分别对应的正常重力场源的构成、物理与几何上的意义以及对两者之间的差别进行了论述 ,分析了同源性研究在物理大地测量与地球物理相互结合以及定量描述地球内部密度分布的过程中的重要意义 .给出了同源性分析可遵循的途径及其所应满足的条件与约束 .最后 ,以正常椭球的扁率变化率具有最小模为约束 ,应用PREM模型 (PreliminaryReferenceEarthModel)密度为大地测量中正常椭球赋值 ,其结果以正常椭球的内部扁率的多项式表达式给出 .

关 键 词:正常重力场源  PREM模型  正常椭球  同源性  内部扁率  
收稿时间:1999-08-12

A RESEARCH ON SOURCE IDENTITY OF THE NORMAL GRAVITY IN PHYSICAL GEODESY AND GEOPHYSICS
LI FEI,LIU CHONG-BING.A RESEARCH ON SOURCE IDENTITY OF THE NORMAL GRAVITY IN PHYSICAL GEODESY AND GEOPHYSICS[J].Chinese Journal of Geophysics,2000,43(6):835-841.
Authors:LI FEI  LIU CHONG-BING
Institution:1. National Lab. For Information Engineering in Surveying, Mapping and Remote Sensing, Wuhan 430079, China; 2. Lab. For Space and Physical Geodesy of National Bureau of Surveying and Mapping, Wuhan 430079, China
Abstract:The geometric and physical formations and characteristics of the normal gravity sources corresponding to physical geodesy and geophysics are discussed. The differences between the reference ellipsoid and PREM are analyzed, when they are taken as the source of the normal gravity. A demonstration is given on the significance and importance of the research to construct an identical density resource which causes the geodetic and geophysical normal gravity field. Then the conditions and restrictions needed by constructing an identical source of the normal gravity are analyzed and formed. Finally, under a restrain that the norm of derivative of interior flattening of reference ellipsoid is minimum, a new source of the normal gravity is solved by means of the density distribution of PREM and the geometry of reference ellipsoid. The result is presented by an algebraic polynomial of interior flattening of reference ellipsoid.
Keywords:Resource of normal gravity  PREM mode  Reference ellipsoid  Identity of resources  Interior flattening  
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