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基于MATLAB的简正模正常谱峰分裂计算

Computation of Normal Splitting of Normal Modes Based on MATLAB
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摘要 基于MINEOS软件、MATLAB的ode45工具箱和样条插值函数interp1,设计计算简正模正常谱峰分裂的接口。采用静力水准重力势能J2、J4系数计算地球椭率一阶、二阶项,考虑PREM和1066A两种起始模型,计算0S2模态的正常谱峰分裂参数和单谱频率,并与Dahlen的结果比较,证明了MATLAB接口的正确性。研究发现,椭率二阶项对简正模谱峰分裂参数影响较小,对单谱频率影响可忽略。最后以0S2为例,计算其耦合矩阵,评估耦合强度,为谱峰分裂函数反演地球内部密度结构奠定基础。 In this paper,an interface is built to compute the normal modes splitting parameters,based on the MINEOS software,ode45 toolbox of MATLAB,and interpolation function.The hydrochloric coefficient of J 2 and J 4 are used to compute the first and second order term of Earth's ellipticity.The splitting parameters and singlets frequencies of 0 S 2 are generated based on the PREM and 1066A.It is proven to be correct when compared with the results of Dahlen.Our research shows that the second order ellipticity has a little effect on the splitting parameters,but almost no influence on the singlet frequencies.Finally,the coupling matrix and coupling strength between 0 S 2 and selected modes are given.This lays a good base to use the splitting function to inverse the interior Earth structure.
作者 张凌云 孙和平 徐建桥 邓明莉 ZHANG Lingyun;SUN Heping;XU Jianqiao;Deng Mingli(State Key Laboratory of Geodesy and Earth's Dynamics,Institute of Geodesy and Geophysics,CAS,340 Xudong Road,Wuhan 430077,China;University of Chinese Academy of Sciences,A19 Yuquan Road,Beijing 100049,China)
出处 《大地测量与地球动力学》 CSCD 北大核心 2019年第6期583-586,共4页 Journal of Geodesy and Geodynamics
基金 国家重点基础研究发展计划(2014CB845902) 国家自然科学基金(41474062,41604070)~~
关键词 简正模 二阶椭率 正常谱峰分裂参数 单谱 耦合强度 normal modes second order ellipticity normal splitting parameters singlet coupling strength
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