声速及损耗系数的同时反演

引言 本文讨论有损层状介质的反演问题.有损介质的反演问题的研究,即使是一维情形,也未成熟,且无一般提法.G.Kristensson和R.J.Krueger的一系列文章,利用一般的二次双曲型方程,对有限厚度的介质进行反演,用到的响应信息是透射和反射数据,不

THE SIMULTANEOUS INVERSION OF ACOUSTIC VELOCITY AND DISSIPATION

The inverse problem for simultaneously determining the acoustic velocity and dissipationof a layered medium is discussed. The motion of the medium, excited by the incident planewaves at two angles, is considered together. From the general role of discontinuity propaga-tion, the relations between the parameters of the medium and the wave fields can be obtained.Using these relations and equations of motion,Picard's iteration for determining the parame-ters of the medium and the wavefields is established. The convergence of the iteration is pro-ved and therefore the existence, uniqueness and stability of the solution for the considered mul-tiparameter inverse problem are obtained. At the end some numerical examples are given.