SNREI地球模型负荷勒夫数数值计算的新进展

IMPROVEMENT OF COMPUTATIONS OF LOAD LOVE NUMBERS OF SNREI EARTH MODEL

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．

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.