双相介质参数反演的混沌搜索方法

A chaotic search method in parameters inversion of porous media

混沌运动能在一定的范围内按自身的规律不重复地遍历所有状态。利用这个特点 ,本文将混沌运动引入到双相介质参数反问题的研究中。首先利用边界元方法实现了由介质参数到地表位移的非线性映射 ,然后通过建立合成位移与实测位移的相关函数将参数识别问题归结为优化问题 ,最后利用混沌运动指导优化搜索求得介质参数。

By virtue of the ergodicity and no\|repeat of chaos, the chaotic search method is used in the parameters inversion problem of porous media. Firstly, the boundary element method is applied to perform the mapping from material parameters to dynamic displacement on the surface of semi\|space of the porous media. Secondly, the parameter inversion problem is reduced to the optimal problem by defining of the relation function between the dynamic displacement computed and that measured. At last, the zoom chaotic search method is designed to find the material parameters corresponding to the global maximum of relation function. The simulation example indicates the feasibility and effective of the zoom chaotic search method.