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单程波方程偏移算子高阶辛格式
引用本文:杨辉,刘洪,李幼铭.单程波方程偏移算子高阶辛格式[J].地球物理学报,2003,46(4):533-538.
作者姓名:杨辉  刘洪  李幼铭
作者单位:中国科学院地质与地球物理研究所,北京 100101
基金项目:中国科学院知识创新工程重大项目 (KZCX1- Y0 1),国家自然科学基金九五重大项目 (4 9894190 ),国家高性能计算基金 ( 0 0 0 12 3 ) .
摘    要:针对地震偏移算法中单程波算子中e指数项的近似,提出一种高阶辛格式算法. 与非辛格式的近似、一阶辛格式近似和两步法进行数值对比表明,文中提出的高阶辛格式具有更高的精度. 脉冲响应的计算也表明文中的近似方法具有降低频散效应和适应横向变速的能力. 用Marmousi模型验证了对复杂构造的成像的能力,实际资料计算表明本文方法适合于较大深度的稳定准确成像.

关 键 词:辛格式  单程波方程算子  Padè近似  偏移  
文章编号:0001-5733(2003)04-0533-06
收稿时间:2001-2-9
修稿时间:2003-1-30

HIGH ORDER SYMPLECTIC SCHEME FOR ONE-WAY WAVE EQUATION OPERATOR
YANG HUI.HIGH ORDER SYMPLECTIC SCHEME FOR ONE-WAY WAVE EQUATION OPERATOR[J].Chinese Journal of Geophysics,2003,46(4):533-538.
Authors:YANG HUI
Institution:Institute of Geology and Geophysics, Chinese Academy of Sciences,Beijing 100101, China
Abstract:In this article, a higher order symplectic scheme approximation to the complex exponential function in the one-way wave equation is used in the seismic migration algorithm. The symplectic method is compared with the two-step method developed by Clearbout and several non-symplectic methods. The result shows that the symplectic scheme has an higher accuracy. The impulse response on even velocity model and simple lateral variable velocity model shows that the symplectic method can decrease the frequency dispersion and adapt to the lateral velocity variation. Results on Marmousi model and field data show that the method can also be used in seismic migration, especially for the deeper section.
Keywords:Symplectic scheme  Padè approximations  One way wave equation operator Migration    
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