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地震波数值模拟中的最优Shannon 奇异核褶积微分算子
引用本文:龙桂华,赵宇波,赵家福.地震波数值模拟中的最优Shannon 奇异核褶积微分算子[J].地震学报,2011,33(5):650-662.
作者姓名:龙桂华  赵宇波  赵家福
作者单位:1) 中国广东深圳518055中国科学院深圳先进技术研究院2) 中国北京100029中国科学院地质与地球物理研究所
基金项目:广东省自然科学基金项目(10478922035-X00491); 国家自然科学基金项目(40874024,41104039); 国家重点基础研究发展计划“973”计划(2007CB209603)联合资助
摘    要:如何有效协调地震波数值模拟过程中的计算精度和计算效率,一直是许多地球物理工作者密切关注且努力寻求解决的问题.这一问题求解的好坏,将直接影响到人们正确认识地下构造的地球物理响应.本文从离散Shannon奇异核理论出发,推导了基于Shannon奇异核的交错网格褶积微分算子,分析并求出了影响算子精度窗函数的最优化参数.通过将...

关 键 词:交错网格  Shannon奇异核  褶积微分算子  地震波模拟

Optimal Shannon singular kernel convolutional differentiator in seismic wave modeling
Long Guihua,Zhao Yubo Zhao Jiafu Shenzhen Institutes of Advanced Technology,Chinese Academy of Sciences,Shenzhen ,China Institute of Geology , Geophysics,Beijing ,China.Optimal Shannon singular kernel convolutional differentiator in seismic wave modeling[J].Acta Seismologica Sinica,2011,33(5):650-662.
Authors:Long Guihua    Zhao Yubo Zhao Jiafu Shenzhen Institutes of Advanced Technology  Chinese Academy of Sciences  Shenzhen  China Institute of Geology  Geophysics  Beijing  China
Institution:1)Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences, Shenzhen 518055, China2)Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China
Abstract:One of many problems that geophysicists concern with and endeavor to solve for a long time has been lacking of new methods that can well balance the incompatible relation between accuracy and computation efficiency in seismic modeling. In order to solve this problem and correctly recognize the geophysical response of the subsurface structures, we derived a kind of numerical method named staggered-grid convolutional differentiator to solve the one-order velocity-stress equation in elastic media based on disc...
Keywords:staggered-grid  Shannon singular kernel  convolutional differentiator  seismic wave modeling  
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