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SNREI地球模型负荷勒夫数数值计算的新进展
引用本文:汪汉胜,许厚泽,李国营.SNREI地球模型负荷勒夫数数值计算的新进展[J].地球物理学报,1996,39(Z1):182-189.
作者姓名:汪汉胜  许厚泽  李国营
作者单位:中国科学院测量与地球物理研究所动力大地测量学开放实验室, 武汉 430077
基金项目:国家自然科学基金;人才专项基金
摘    要:基于Longman和Farrell的表面负荷形变理论,深入研究计算SNREI弹性地球模型表面负荷勒夫数的数值计算方法,取得新的进展:采用了一种新的代换方法─r ̄n因子法,比传统的无量纲化法简单易行,且能达到很高的计算精度;确立了检验表面边界条件、微分方程积分线性性和计算结果的收敛性,用于评价数值计算结果精度的有效准则;给出了PREM地球模型的一组高精度计算结果.

关 键 词:SNREI地球模型  负荷勒夫数  因子代换  计算评价准则  数值结果  
收稿时间:1994-12-06

IMPROVEMENT OF COMPUTATIONS OF LOAD LOVE NUMBERS OF SNREI EARTH MODEL
WANG HAN-SHENG,XU HOU-ZE,LI GUO-YING.IMPROVEMENT OF COMPUTATIONS OF LOAD LOVE NUMBERS OF SNREI EARTH MODEL[J].Chinese Journal of Geophysics,1996,39(Z1):182-189.
Authors:WANG HAN-SHENG  XU HOU-ZE  LI GUO-YING
Institution:Laboratory of Dynamical Geodesy, Institute of Geodesy and Geophysics, Academia Sinica, Wuhan430077, China
Abstract:In this paper,on basis of the deformation theory of SNREI elastic earth model under surface load developed by Longman(1962) and Farrell(1972) we focused our attention on the numerical methods and the result analyses of love numbers. First, we employed a new transformation,rn factor method which is much briefer than traditional dimensionless method, and is also of high computational precision. Second, for evaluating numerical results we explicitly put forward an effective criterion which includes surface boundary condition,linearity of integrating differential equation, and convergence.Finally,we obtained a series of precise computation results of PREM model.
Keywords:SNREI earth model  Load love numbers  r ̄n factor method  Evaluating criterion  Computational results
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