Molodensky-Poisson核函数应用于重力异常向下延拓分析  

Analyze the Molodensky-Poisson Kernel in the Downward-Continuation of the Gravity Anomalies

作　　者：荣敏[1,2,3] 周巍 翟振和[2] 

机构地区：[1]信息工程大学地理空间信息学院,郑州市科学大道62号450001 [2]西安测绘研究所,西安市雁塔路中段1号710054 [3]西安测绘信息技术总站,西安市西影路36号710054

出　　处：《大地测量与地球动力学》2015年第2期312-317,共6页Journal of Geodesy and Geodynamics

基　　金：国家自然科学基金(41174018;41304022)

摘　　要：分析标准Poisson核函数和Molodensky-Poisson核函数特性,并计算其远区效应的截断误差,获取与延拓高度、积分半径和截断阶次的关系。分析认为,Molodensky-Poisson核函数能够抑制远区的影响,当延拓高度不高于3km,积分半径至少0.5°时,其截断误差在1mGal以内;当积分半径为1°时,其截断误差在10μGal量级,可满足计算1cm大地水准面目标的要求。This paper attempts to achieve accurate results for the downward-continuation.In the paper the detailed characters of the standard Poisson kernel and the Molodensky-Poisson kernel are analyzed.The truncation error of the far-zone contribution is estimated.The relations of the height,the truncation radius and degree are analyzed in the downward-continuation of the gravity anomalies.The results suggest that the Molodensky-Poisson kernel can reduce the far-zone contribution.The height is less than 3km and the truncation radius is more than 0.5°.The truncation error estimated at less than 1mGal;when the truncation radius reaches 1°,the truncation error estimate achieves an accuracy of 10μGal.Hence it ensures the accuracy of the geoid reach to the 1cm level.

关 键 词：Molodensky-Poisson核函数 截断误差 地球重力场位模型 

分 类 号：P223[天文地球—大地测量学与测量工程]