摘要
在常背景速度下，运用小波变换求解粘弹性波动方程的散射反问题，本文得到一维粘滞介质中速度扰动函数和反射函数的精确解．采用Ｓｔｏｃｋｓ方程，对于Ｖｏｉｇｔ介质，其吸收系数是频率的二次方．由于地震勘探中，人们更倾向使用线性介质描述地层的吸收性质，于是，本文将上述求得的精确解推广到线性介质的情况，给出了相应的反演公式．两个例子分别通过严格的数学推导或数值运算都表明，地层的粘滞性质是影响地震资料分辨率的重要因素之一．为进一步提高地震剖面分辨率。
The application of wavelet transform to solving the inverse scattering problem of viscoelastic wave equation leads to the exact solutions of velocity perturbation function and reflection function in viscous medium with constant background velocity. The wave equation we used is Stokes equation. So the medium is correspondant to Voigt solid which leads to quadralic absorption.In the seismic exploration,linear solid is preferred. Thus we general ized the solutions to the linear solid. The paper shown, with two simple cases study(one is out of theoretic analysis and another numeric computing), that the viscosity of the earth is an important factor which affects the resolution of seismic data, and that eliminating the viscosity effectively could lead to further resolution enhancement.
出处
《地球物理学报》
SCIE
EI
CSCD
北大核心
1995年第A01期94-106,共13页
Chinese Journal of Geophysics
基金
国家自然科学基金会
中国科学院
中国石油天然气总公司和大庆石油管理局联合资助
关键词
粘弹性波动方程
地震勘探
散射反演
分辨率
Viscoelastic wave equation, Inversion,Voigt solid, Linear solid,Resolution.
