摘要
本文用最小平方技术解决二维双相介质中波动方程的非线性反演问题,将反演问题转化为一个最优控制问题.最优解的求解采用梯度法,梯度的计算需引入所谓的逆时波场.模拟结果表明此方法的可行性和稳定性.
In the paper,the least square method is used to solve the problem of parameters inversion of two-dimension wave equations in biphase media, and the inverse problem is reduced to an otpimal control problem.The optimal solution is obtained by adopting a gradient method and gradient is calculated from the backward time field. The calculating resultS prove this method is feasible and stable.
出处
《哈尔滨建筑大学学报》
1996年第2期115-120,共6页
Journal of Harbin University of Civil Engineering and Architecture
基金
国家自然科学基金
关键词
非线性反演
双相介质
波动方程
梯度方法
wave equation, biphase media
nonlinear inversion, gradient method