利用久期函数族计算球状无重力弹性地球模型中的环形振荡模式

doi:10.13209/j.0479-8023.2025.084

北京大学学报（自然科学版） ›› 2025, Vol. 61 ›› Issue (6): 1064-1070.DOI: 10.13209/j.0479-8023.2025.084

利用久期函数族计算球状无重力弹性地球模型中的环形振荡模式

杨礼萌^1,2, 陈晓非^1,2,†

1. 北京大学地球与空间科学学院, 北京 100871 2. 南方科技大学地球与空间科学系, 深圳 518055

收稿日期:2024-09-27 修回日期:2024-10-01 出版日期:2025-11-20 发布日期:2025-11-20
通讯作者: 陈晓非, E-mail: chenxf(at)sustech.edu.cn
基金资助:
国家自然科学基金(92255307)资助

Computation of Toroidal Modes in a Spherical Non-Gravity Elastic Earth Model Using a Family of Secular Functions

YANG Limeng^1,2, CHEN Xiaofei^1,2,†

1. School of Earth and Space Sciences, Peking University, Beijing 100871 2. Department of Earth and Space Sciences, Southern University of Science and Technology, Shenzhen 518055

Received:2024-09-27 Revised:2024-10-01 Online:2025-11-20 Published:2025-11-20
Contact: CHEN Xiaofei, E-mail: chenxf(at)sustech.edu.cn

摘要/Abstract

摘要：

针对精确展平变换方法计算地球的振荡模式时, 在搜根阶段容易出现漏根的问题, 在广义反射–透射系数法(GRTCM)框架中引入精确展平变换, 将广义反射–透射系数法推广到环状模式球状无重力弹性地球模型, 然后利用久期函数族计算该模型中的环形振荡模式, 计算结果与MINEOS的精确结果非常吻合。

关键词: 环形振荡模式, 久期函数族, 精确展平变换, 广义反射–透射系数法(GRTCM)

Abstract:

When using the exact flattening transformation method to compute the oscillation modes, root-leakage issues can easily arise during the root-search phase. By introducing the exact flattening transformation within the framework of the generalized reflection-transmission coefficient method (GRTCM), this method can be extended to the spherical non-gravity elastic Earth model. Subsequently, using the duration function families, we calculate the toroidal modes in this model. The results of the proposed method align closely with the precise outcomes from MINEOS.

Key words:

toroidal modes, family of secular functions, exact earth flattening transformation, generalized reflection-transmission coefficient method (GRTCM)

杨礼萌, 陈晓非. 利用久期函数族计算球状无重力弹性地球模型中的环形振荡模式[J]. 北京大学学报（自然科学版）, 2025, 61(6): 1064-1070.

YANG Limeng, CHEN Xiaofei. Computation of Toroidal Modes in a Spherical Non-Gravity Elastic Earth Model Using a Family of Secular Functions[J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2025, 61(6): 1064-1070.

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链接本文: https://xbna.pku.edu.cn/CN/10.13209/j.0479-8023.2025.084

https://xbna.pku.edu.cn/CN/Y2025/V61/I6/1064

利用久期函数族计算球状无重力弹性地球模型中的环形振荡模式

Computation of Toroidal Modes in a Spherical Non-Gravity Elastic Earth Model Using a Family of Secular Functions

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