一种弹性波反演的快速迭代解法

本文研究弹性波反演的数值解法,通过求低频响应值的残差最小和利用有限元及振型分解法计算弹性波正问题的低频响应值,给出了一种弹性波反演的快速迭代解法。该算法允许引入反演参数的约束条件,计算效率很高;尽管一般只能得到弹性波反问题的近似解,但收敛性很好,因此可应用于为其它弹性波反演解法提供较好的初始值。

A Fast Iterative Algorithm for Solving Elastic Waveform Inversion

In this paper the numerical solution on elastic waveform inversion is studied and a fast iterative algorithm is achieved by minimizing residuals of low-frequency responses and calculating low-frequency responses of elastic wave propagation with finite element method and mode decomposition method ,forwhich the constrains on parameters of the inverse problem can be introduced and the computation is efficient with good convergence. Generally only approximate solutions of the inverse problem can be obtained with the algorithm present here,but its solution can be taken as well initial background values of other elastic waveform inversion solution methods.