层状吸收介质一维正演计算

1-Dimension Forward Modeling for Layer Absorbing Media

从3种经典的粘弹性体(开尔文体、麦克斯韦体和标准线性体)出发,导出了各自的波动方程及其一维解,并将它们写成了统一的表达式。同时导出了粘弹性介质分界面上的反射系数,证明它们不仅与界面两侧介质性质有关,而且与入射波的频率有关。假设一个入射子波,将其变换到频率域,然后在频率域合成记录,并对不同介质类型、不同弹性参数情况下不同频率的波的传播效应进行了分析。

Considering three types of classic viscoelastic media(Kelvin body, Maxwell body and standard linear body), their wave equations and 1-dimension solutions are derived and written into one formula. The reflecting coefficient of viscoelastic interface is also derived, which shows that the reflecting coefficient depends on not only the elastic property of each side of the interface but also the frequency of the incident wave The supposed incident wavelet is transformed into frequency domain, then the seismogram is synthesized in frequency domain. The propagating effects of waves are analysed for different types of media, elastic parameters and frequencies.