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基于Marmousi模型的声波方程有限差分正演算法
引用本文:胡英,张东,陈琼,徐凌,秦前清.基于Marmousi模型的声波方程有限差分正演算法[J].武汉大学学报(理学版),2012,58(1):68-72.
作者姓名:胡英  张东  陈琼  徐凌  秦前清
作者单位:1. 中国石油勘探开发研究院物探技术研究所,北京,100082
2. 武汉大学物理科学与技术学院,湖北武汉,430072
3. 武汉大学测绘遥感信息工程国家重点实验室,湖北武汉,430072
摘    要:针对现有正演算法中存在的频散及边界反射问题,提出了计算区域使用差分算子而完全匹配层(PML)内使用交错网格的方法进行波场正演计算,并通过升级差分精度以达到抑制频散和减轻边界反射的目的.对于雷克子波做震源波形不明显的情况进行了震源模拟,得到了基于Marmousi模型的理想波形记录.算例结果表明,本算法可有效地改善频散和边界反射现象,特别是在高频的情况下,也能获得理想的结果.

关 键 词:声波方程  有限差分  Marmousi模型  完全匹配层

A Finite Difference Algorithm of the Acoustic Wave Equation Based on Marmousi Model
Institution:HU Ying1,ZHANG Dong2,CHEN Qiong2,XU Lin1,QIN Qiangqin3(1.Department of Geophysical Technology,Research Institute of Petroleuum Exploration and Development,Beijing 100082,China; 2.School of Physics and Technology,Wuhan University,Wuhan 430072,Hubei,China; 3.State Key Laboratory of Information Engineering in Surveying of Mapping and Remote Sensing, Wuhan University,Wuhan 430072,Hubei,China)
Abstract:This paper used fourth-order difference operator in computational domain,and staggered grid calculation method in perfectly matched layer(PML) to simulate forward wave field,in order to suppress dispersion and reduce the boundary reflection by upgrading difference accuracy.Waveform informations for the Ricker aren’t obvious,this paper conducted a source simulation method,and achieved ideal waveform record based on the Marmousi model.Simulation example results show that the algorithm can effectively improve the dispersion and boundary reflection phenomenon,especially in the high frequency case,the algorithm can obtain satisfactory results.
Keywords:acoustic wave equation  finite difference  Marmousi model  perfectly matched layer
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