摘要
为进一步探索活动断层滑动性质及断层系统演化过程的影响因素,基于单自由度弹簧-滑块模型,引入速率-状态依赖摩擦本构关系,建立了单自由度弹簧-滑块系统的静力平衡方程,采用龙格-库塔法解非线性方程组,重点研究了滑动速率及系统刚度对断层滑动性质、系统演化过程的影响。研究表明:活动断层滑动速率越大,系统响应越大;系统刚度越大,越不易失稳。系统刚度低于临界刚度时,一旦断层产生滑动,系统将向失稳方向发展,系统的运动轨迹将越来越远离平衡点;系统刚度等于临界刚度时,活动断层将保持周期性滑动,滑动速率越大,应力振荡的幅值也越大,此时系统的运动轨迹为一极限环;系统刚度大于临界刚度时,断层经过短暂的周期滑动后,很快达到稳定滑动状态,此时系统的运动轨迹趋向于并最终达到系统的吸引子。
In order to research the factors which influence the sliding behavior of active fault, the single degree freedom of spring-block model and the rate-state dependent friction law are introduced, the static force equation of spring-block is built, and the Runge-Kutta method is used to solve the nonlinear equations. The result shows that the response of the system increases with the rise of the slip rate, and the system inclines to hold stable when its stiffness increases. As the active fault slides, the system is unstable when its stiffness is below the critical stiffness, the track of system keeps away from stable dot, and the system shows periodic sliding and the track of system forms a limit circle when its stiffness equals to the critical stiffness, the amplitude of stress increases with the rise of the slip rate, and the system tends to evolve forward stable state after a short periodical slipping when its stiffness is greater than the critical stiffness.
出处
《南京理工大学学报》
EI
CAS
CSCD
北大核心
2007年第6期784-788,共5页
Journal of Nanjing University of Science and Technology
基金
国家自然科学重点基金(50539030)
国家"973"项目(2007CB714104)
