弹粘边界的平面波反射/折射系数的数值计算和分析
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摘要
文章分析研究了弹粘边界的平面波的反射/折射系数,为用地震勘探数据进行反演分析以便更为准确地寻找油气藏提供了一种新方法。并在粘弹性介质边界条件的基础上,研究了入射角、介质的各向异性、粘性和平面波的频率对地震反射/传输系数的影响,以平面波在边界上位移连续和应力法向连续的两个边界条件为基础,建立了四个关于反射/折射系数的方程,解出了粘性边界条件下的反射/折射系数。利用Matlab进行了数值模拟,找出了在粘性边界条件下,影响反射/传输系数的主要因素。
This paper describes the reflection/refraction coefficient of plane wave for viscous interface.It provides a new method of determining reservoir more accurately by analyzing seismic exploration data.On the basis of viscous interface,this paper analyzes the effect of the incident angle and frequency of plane wave,and the anisotropy and viscosity of media on the reflection/transmission coefficients.According to the boundary condition of the continuity of particle displacement and normal stress,this paper sets up four equations about the reflection/transmission coefficients,solves the reflection/refraction coefficients of viscous boundary,performs numerical calculation by using Matlab and finds out main effect factors on reflection/transmission coefficients of viscous interface.
引文
[1]B.A.Auld.Acoustic fields and waves in solids.John Wiley and Sons,New York,1973
    [2]P.F.Daley and F.Hron,Reflection,Transmission Coef-fi-cients for Transversely isotropic media,Bulletin of Seismo-logical Society of America,1977,Vol.67,No.3
    [3]Leon Thomsen.Weak Elastic Anisotropy Geophysics,1986,Vol.51,No.10,5Flgs,1Table.

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