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二维弹性波动方程F—K正演与偏移
引用本文:陈志文,贺振华.二维弹性波动方程F—K正演与偏移[J].物探化探计算技术,1996,18(2):171-176.
作者姓名:陈志文  贺振华
作者单位:成都理工学院
基金项目:国家自然基金,中国科学院、中国天然气总公司、大庆石油管理局资助
摘    要:根据Hooke定律,消除应力矢量后得到弹性波动方程位移矢量和波势矢量的非耦合形式递推解,在这个解答中各种类型的波相互分离,但在界面上满足能量守恒定律。正演可变步长延拓;偏移是将震源脉冲和地面记录波场同时下延,然后在每个深度作时间零延迟互相关来完成。由于延拓和成像在频率波数域(F—K)中进行,因而算法快速、偏移和正演可方便地扩展到三维空间,能处理各向同性任意非均匀介质中的弹性波。

关 键 词:正演,偏移,频率波数域

MODELING AND PRE-STACK DEPTH MIGRATION OF 2-D ELASTIC WAVE EQUATION IN F-K DOMAIN
Chen Zhiwen,He Zhenhua.MODELING AND PRE-STACK DEPTH MIGRATION OF 2-D ELASTIC WAVE EQUATION IN F-K DOMAIN[J].Computing Techniques For Geophysical and Geochemical Exploration,1996,18(2):171-176.
Authors:Chen Zhiwen  He Zhenhua
Institution:Chengdu Institute of Technology
Abstract:From the 2-D elastic wave equation of motion, the recursive solution can be obtained,which the particle displacements and vector potentials are not coupled.In such case,the stress vectors are eliminated according to Hooks law.All kinds of the waves are decomposed in the solution, and obey the law of conservation of energy on interface as well.Any of the step-length of depth can be applied to the modeling from the solution. On the other hand,the m.igration from the solution can be carried out at each depth by the zero lag of time correlation of the the source pulse and the recording waves continue downward simultaneously. The algorithms of the modeling have been proved to be fast,for extrapolating and imaging are all in the frequency-wavenumber(F-K)domain.The schemes recommended in this paper are easy to be extended to 3-D space.They are,in practice,applied to solving the problems of the elastic waves in arbitrarily isotropic inhomogeneous media.
Keywords:modeling  migration  frequency-wavenumberdomain
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