粘弹性介质中波场重建方法(英文)

英文篇名：Wavefield Reconstruction Method for Viscorelastic Media
中文刊名：数学理论与应用
英文刊名：Mathematical Theory and Application
作者：袁修贵
英文作者：Yuan Xiugui ( College of mathematics ; Central South University ; Changsha ; 410083)
中文关键词：波传播 ; 粘弹性 ; 小波方程
英文关键词：multiscale wavelet transform wavefield reconstruction viscoelastic media
出版日期：2003-09-30
机构：中南大学数学学院长沙,410083
年：2003
期：03
出版单位：数学理论与应用

摘要

传统的波动方程波场重建基于完全弹性介质 ,不能获得满意的地震资料分辨率 ,本文基于能描述大地吸收弹性介质中地震波传播的斯托克斯波动方程 ,提出了一种新的多尺度粘弹性波动方程波场重建的方法 ,根据地震波传播核函数的物理特性 ,研究了一种新的物理小波 ,提出了小波多尺度波场重建方法。达到对吸收信息的补偿 ,提高地震资料的分辨率
Traditional wavefield reconstruction methods based on acoustic wave equation can't obtain satisfying resolution. In this paper, a new effective multiresolution wavefield reconstruction method for viscoelastic media is proposed, which based on Stokes wave equation, and a new type of wavelet - physical wavelet is used in the method and its wavelet analysis is proposed. Then the absorptions of viscoelastic media are compensated for in some extent, and the seismic data resolution can be improved.

引文

[1]　Ricker,N.,The form and laws of propagation of seismic wavelet[J].Geophysics,1953,18:10-40.
    [2]　ShougenSong,RongfengZhang andTadeuszJ,et al.Ulrych,High- resolution wavefieldreconstruction in seismic migration for viscoelastic media[J].Journal ofSeismicExploration2000,9(1):1-18.
    [3]　Song shougen,YuanXiugui,HeJishan,et al.Wavefield extrapolation in viscoelastic medium andvariable focus method to separate seismic compound wave[J].TransNonferrousMetSocChina,1996,6(4):1-5.
    [4]　Daubechies,I.,Ten lectures onWavelets[M].NewYork:CapitalCityPress,1992.
    [5]　Strang,G. andNguyen,T.,Wavelets andFilterBanks[M].Wellesley-CambridgePress,Wellesley,MA.,1996