一维弹性或粘弹性应力波方程正、反问题的特征线类方法

The Charactcristic Method for Solving Direct and Inverse Problems of 1D Elastic or Viscoelastic Stress Wave Equations

本文利用特征线或拟特征线法,对弹性或粘弹性分层均匀介质模型的应力波方程的正、反问题给出了求解方案,并对不同的分层均匀介质阻抗的设定值及不同的粘性系数做了数值试验。结果表明,方法简便、有效、稳定,阻抗的理论设定值与反演近似值非常吻合。

In the paper, the direct and inverse problems of stress wave equationsfor uniform horizontal layered elastic or visco elastic media are solved bycharacteristics or quasi-characteristics. With different layered impendances and viscosity given, the numericalcomputation tests are made The numerical results show the inverse approxi-mate values are very close with the given values for the layered impendances,and the method is simple, efficient and stable