张凌云^1,2,,
孙和平^1,2,
徐建桥¹
1. 中国科学院测量与地球物理研究所大地测量与地球动力学国家重点实验室, 武汉 430077
2. 中国科学院大学, 北京 100049

基金项目: 国家重点基础研究发展计划(973计划)(2014CB845902)和国家自然科学基金(41474062)联合资助


详细信息

作者简介: 张凌云, 男, 1987年生, 博士, 现主要从事地球自由振荡、面波、地震和超导重力数据分析和研究.E-mail:zly198712280572@sina.com

中图分类号: P312

收稿日期:2018-12-20
修回日期:2019-08-20
上线日期:2020-01-05

The application of non-periodic homogenization of elastic equation

ZHANG LingYun^1,2,,
SUN HePing^1,2,
XU JianQiao¹
1. State Key Laboratory of Geodesy and Earth's Dynamics, Institute of Geodesy and Geophysics, Chinese Academy of Sciences, Wuhan 430077, China
2. University of Chinese Academy of Sciences, Beijing 100049, China


MSC: P312

--> Received Date: 20 December 2018
Revised Date: 20 August 2019
Available Online: 05 January 2020


摘要
摘要:对于谱元法中介质的非均匀分布尺度小于最小的理论波长以及复杂的间断面网格化难题，建立从微观到宏观的升尺度均匀化方程以及在不丢失波场计算精度对局部区域的微小尺度进行均匀化.利用传统的简正模计算方法求解本征频率和本征函数，给出了均匀化的结果，证明了均匀化计算方法的可行性和正确性；分析了基频简正模频率、理论地震图与均匀化参数，均匀化阶数之间的联系.并成功将之应用到SEM1D实验中，为下一步CSEM三维均匀化奠定基础.
关键词: 非周期/
均匀化/
简正模/
谱元法

Abstract:It is a problem that in the case of heterogeneity scales much smaller than the minimum wavefield length and complicated mesh of discontinuity for spectra element method. The purpose of this paper is to understand and to build the effective medium through upscaling rules and equations allowing to average the small scales of the original medium without losing the accuracy of the wavefield computation. Traditional normal modes method was used to get the eigenfrequencies and eigenfunctions and the results show that this method is correct and practicable. Relations among the eigenfrequencies and eigenfunctions of fundamental spheroidal modes, seismograms and homogenization parameters and order were analyzed. This has been extended to SEM1D and it will lay a foundation for the homogenization of CSEM in the next work.
Key words:Non-periodic/
Homogenization/
Normal mode/
SEM1D



PDF全文下载地址:

http://www.geophy.cn/data/article/export-pdf?id=dqwlxb_15293