月海盆地区壳-幔界面补偿地形体积估计的球谐算法

doi:10.19596/j.cnki.1001-246x.8049

计算物理 ›› 2020, Vol. 37 ›› Issue (3): 335-340.DOI: 10.19596/j.cnki.1001-246x.8049

月海盆地区壳-幔界面补偿地形体积估计的球谐算法

钟振^1,2, 张腾¹, 肖文君¹

1. 贵州师范大学物理与电子科学学院, 贵州贵阳 550001;
2. 贵州省射电天文数据处理重点实验室, 贵州贵阳 550025

收稿日期:2019-01-28 修回日期:2019-03-09 出版日期:2020-05-25 发布日期:2020-05-25
通讯作者: 肖文君(1985-),男,博士,副教授,从事空间-频谱信号处理与应用研究,E-mail:wjxiaomail@163.com
作者简介:钟振(1982-),男,博士,副教授,从事月球重力场和月球内部结构研究,E-mail:zhenzhongmail@163.com,zzhong@gznu.edu.cn
基金资助:
国家自然科学基金（41864001）、武汉大学测绘遥感信息工程国家重点实验室开放基金（17P03）及贵州师范大学博士科研项目资助

Volume Estimation of Crust-Mantle Interface Beneath Lunar Nearside Mare Basins Based on Spherical Harmonic Algorithm

ZHONG Zhen^1,2, ZHANG Teng¹, XIAO Wenjun¹

1. School of Physics and Electronic Science, Guizhou Normal University, Guiyang, Guizhou 550001, China;
2. Guizhou Provincial Key Laboratory of Radio Astronomy and Data Processing, Guizhou Normal University, Guiyang, Guizhou 550025, China

Received:2019-01-28 Revised:2019-03-09 Online:2020-05-25 Published:2020-05-25

摘要/Abstract

摘要： 提出基于壳-幔界面补偿地形的球谐系数直接求解补偿地形体积的方法.结果表明：补偿地形的体积仅与其球谐展开系数和常高地形展开系数乘积之和有关，进而简化了运算的复杂度，提升了计算效率.与模型地形的体积相比，算法的误差较常规的算法小.可以根据不同窗口形状，估计补偿地形的体积及其剩余质量.将算法应用于月球物理参数的估计，为月海盆地区弹性厚度的估计提供有益的参考.

关键词: 月海盆地, 壳-幔界面, 球谐展开, 补偿地形

Abstract: We propose a method of volume estimation based on spherical harmonic coefficients of compensated topography. It shows that volume of compensated topography depends merely on sum of coefficients between compensated topography and windowed constant height. The algorithm shows a simplification of computation and improves efficiency of estimation. Moreover, it demonstrates smaller error than general numerical methods. It can be employed in estimating volume of compensated topography windowed with various shapes. This method provides a good reference for estimation of lunar parameters, especially the elastic thickness over mare basins.

Key words: mare basins, crust-mantle interface, spherical harmonic expansion, compensated topography

中图分类号:

P223

钟振, 张腾, 肖文君. 月海盆地区壳-幔界面补偿地形体积估计的球谐算法[J]. 计算物理, 2020, 37(3): 335-340.

ZHONG Zhen, ZHANG Teng, XIAO Wenjun. Volume Estimation of Crust-Mantle Interface Beneath Lunar Nearside Mare Basins Based on Spherical Harmonic Algorithm[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 37(3): 335-340.

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月海盆地区壳-幔界面补偿地形体积估计的球谐算法

Volume Estimation of Crust-Mantle Interface Beneath Lunar Nearside Mare Basins Based on Spherical Harmonic Algorithm

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[2]	钟振. 混合粒子群算法ADPSO对月球物理参数反演的改进[J]. 计算物理, 2017, 34(6): 740-746.
[3]	钟振, 晏鹏, 叶茂, 李斐. 基于粒子群PSO算法的月球物理参数反演[J]. 计算物理, 2013, 30(5): 706-713.