摘要
Lyapunov指数是判断动力学系统演化趋势的主要依据之一。本文根据Lyapunov指数的定义,导出了形变能到达临界状态时地壳中弹性模量与应变状态之间的关系,计算了青海门源6.4级地震过程中不同弹性模量所对应的Lyapunov指数,得出以下结论:(1)在Lyapunov指数稳定的意义下形变能的稳定性与应变张量ε和弹性矩阵D的乘积有关,当2ε~TD大于单位矩阵I时,形变能随应变的变化不稳定;当2ε~TD小于单位矩阵I时,形变能系统稳定。(2)在门源6.4级地震过程中,震后弹性地形变动力学系统的稳定性大于震前的稳定性。
Lyapunov exponent describe the stability in dynamical system. In the paper, the dynamical system on elastic deformation is discussed. The data measured before and after Menyuan eqrthquake (M_3=6. 4) occurred in Qinghai province in 1986 are calculated. The conclusions are: (1) the stability of the dynamical system on elastic deformation depends on the result between strain vector multipling with elastie matrix,when 2 times of it is larser than unit matrix,the dynamical system is unstable; when 2 times of it is smaller then unit matrix,the dynamical system is stable; (2) the computed result from data which measured during Menyuan earthquake shows that the stability of dynamical deformation system after earthquake is better than before.
出处
《地壳形变与地震》
CSCD
1993年第3期33-38,共6页
Crustal Deformation and Earthquake
关键词
地震
地变形
指数变化
动力学
lyapunov exponent
dynamic system
strain
stability
deformation energy
