基于非线性动力学的地震反演方法  

A seismic inversion method based on nonlinear dynamics

作　　者：安鸿伟[1] 李正文[2] 

机构地区：[1]清华大学自动化系智能技术与系统国家重点实验室 [2]成都理工大学信息工程学院

出　　处：《中国海上油气（工程）》2004年第2期137-139,144,共4页China Offshore Oil and Gas

基　　金：国家自然科学基金项目 ( 4 98740 3 0 )资助成果

摘　　要：混沌是非线性动力系统的普遍现象。针对地震反演动力系统中出现的混沌现象 ,提出一种用Lyapunov指数自适应调整控制参数 ,使系统快速向不动点稳定演化的混沌控制反演方法。从最简单的Logistic方程入手 ,探讨非线性动力系统混沌演化过程中控制参数、Lyapunov指数与系统演化的关系 ;建立了用Lyapunov指数进行混沌控制的地震信号反演系统方程。数值模拟结果表明该方法能够有效地控制反演系统中的混沌现象 ,加入噪声后 ,仍然能得到可靠的反演结果。Chaos is a kind of prevalent phenomenon in a nonlinear dynamic system. Aiming at the chaotic feature of seismic inversion dynamic system, a novel inversion algorithm is proposed. It can make an adaptive control of parameters using Lyapunov exponent and lead the system to evolve to a fixed point rapidly. Beginning at the simplest Logistic Equation, we have discussed the relations among controlling parameter, Lyapunov exponent and evolution process of a nonlinear dynamic system, and a nonlinear inversion equation is developed for seismic signals based on the chaotic control. A numerical simulation shows that this method can effectively control chaotic phenomenon in a nonlinear inversion system. It can provide reliable inversion results even adding noise in.

关 键 词：非线性动力学 地震反演方法 LOGISTIC方程 阻尼系数 

分 类 号：P631.4[天文地球—地质矿产勘探]