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可变网格与局部时间步长的高阶差分地震波数值模拟
引用本文:黄超,董良国.可变网格与局部时间步长的高阶差分地震波数值模拟[J].地球物理学报,2009,52(1):176-186.
作者姓名:黄超  董良国
作者单位:同济大学海洋地质国家重点实验室,上海 200092
基金项目:国家重点基础研究发展规划(973计划),教育部新世纪优秀人才支持计划 
摘    要:提高计算精度与效率是所有地震波正演方法所追求的目标.本文通过将变化的空间网格与变化的时间步长技术相结合,提出一种空间网格大小与时间步长均可任意变化的高阶有限差分模拟方法.一系列数值试验表明,该方法在保证模拟精度的同时,显著提高了模拟的效率.这种可变空间网格与局部时间步长的模拟方法,能够精细刻画含孔缝洞介质以及横向变化剧烈介质的微小结构,减小地震波模拟误差,提高介质细微结构情况下的地震波传播模拟精度与效率.

关 键 词:可变网格  局部可变时间步长  高阶差分  波动方程模拟  
收稿时间:2008-2-2
修稿时间:2008-11-20

High-order finite-difference method in seismic wave simulation with variable grids and local time-steps
HUANG Chao,DONG Liang-Guo.High-order finite-difference method in seismic wave simulation with variable grids and local time-steps[J].Chinese Journal of Geophysics,2009,52(1):176-186.
Authors:HUANG Chao  DONG Liang-Guo
Institution:Laboratory of Marine Geology NDE, Tongji University, Shanghai 200092, China
Abstract:All the seismic wave simulation methods are aimed to improve the computational accuracy and efficiency. By the combination of variable spatial grids and locally variable time-steps, a high-order finite-difference method with arbitrarily variable spatial grids and local time-steps is presented. The numerical results show that the simulation accuracy and efficiency are raised effectively. Additionally, compared with the traditional method, this modeling method has advantages on the simulation of the seismic wave propagation in the media with fractures, caves and complicated structures, for this method can describe such media in details, and has high accuracy and efficiency.
Keywords:Variable space grid  Locally variable time step  High order Finite-difference  Simulation
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