矿区地下水系统演化混沌特性的Lyapunov指数判别  

Lyapunove index to identify chaotic features evolved from underground mine water system

作　　者：肖江[1] 唐依民[2] 张焕英[3] 

机构地区：[1]中国地质大学(北京),北京100083 [2]湖南科技大学,湖南湘潭411201 [3]河南理工大学,河南焦作454000

出　　处：《煤炭科学技术》2005年第9期75-77,共3页Coal Science and Technology

基　　金：湖南省自然科学基金项目(01JJY2042)

摘　　要：系统的特征指数———Lyapunov指数在表征系统的混沌性质方面起着重要的作用,是定量描述系统对初始条件敏感程度的参数。根据Pacard和Takens提出的相空间重构技术,首先确定延迟时间和最佳嵌入维数,重构相空间后,再利用W olf提出的从单变量中提取Lyapunov指数的方法,分别计算了湖南湘中涟邵煤田大水岩溶矿区4个矿井涌水量时间序列的Lyapunov指数,按照混沌特性判别准则,结果表明,在开采条件下,各矿区地下水系统的演化存在明显的混沌特性,这不仅为矿区地下水系统的深入研究提供了理论依据,而且为矿井涌水量预测模型提供了有力的依据。The systematic feature index Lyapunov played an important role in the chaotic features of the characterization system and is the coefficient of the sensitive degree ay initial conditions for the quantity statement system. Base on the phase space double structure technology provided by the Pacard and Takens, it is first to decide the relay time and the optimized inserted dimension, then to decide the double structure phase space. With the Lyapunov index method from the single variation provided by Wolf, it is individually to calculate the Lyapunov index of the 4 mine water inrush quantities and times from the large karst mining area in Lianshao coal field of Hunan. According to the identification code of the chaotic features, the results showed that under the mining conditions, there is obvious chaotic features in the evolution of the underground mine water system in each mine area. This will only provide the theoretical references to the detail research of the underground mine water system, but will provide the strong reference to the model to predict mine water inrush.

关 键 词：矿区地下水系统 演化 混沌 LYAPUNOV指数 相空间重构 

分 类 号：P641.12[天文地球—地质矿产勘探]