粘弹性介质中逆散射问题的求解方法

Solution Procedures for Inverse Scattering in Viscoelastic Medium

本文讨论了一维粘弹性介质中的逆散射问题,给出了两种反演粘弹性介质松弛模量的方法。这两种方法只利用了介质层一侧波的反射数据,其中一种方法只需已知一个走时来回时间内的反射数据就可以确定介质的松弛模量在任意时刻的值。文中最后给出了数值算例,可以看出,数值反演的结果与初始给定的松弛模量吻合得很好。

In this paper, the inverse scatering problem for one dimensional viscoelastic medium is studied. Two inversion methods are developed to reconstruct the relaxation modulus of the medium, in which the one side measurement reflection data are used. And it is sufficient to use the reflection data for one round trip through the viscoelastic layer for one of the two methods. The numerical examples are given in the end of the paper. It can be seen that the reconstructed moduli coincide with the original moduli very well.