矿井涌水量时间序列混沌特性的Lyapunov指数的计算与判别  

Computation and Identification of Lyapunov Exponent for the Chaotic Character of Time Series of Mine Hydraulic Discharge

作　　者：肖江[1] 邵景力[1] 崔亚莉[1] 唐依民[2] 张焕英[3] 

机构地区：[1]中国地质大学,北京市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：《勘察科学技术》2005年第5期12-15,共4页Site Investigation Science and Technology

基　　金：湖南省自然科学基金项目(01JJY2042)

摘　　要：矿井涌水量时间序列包含矿区地下水系统长期演化的信息。根据相空间重构技术,首先采用自相关函数法和虚假邻点法,确定最佳延迟时间和最佳嵌入维数。重构相空间后,再利用Wolf提出的从单变量时间序列中提取Lyapunov指数的方法。该文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,4个矿井涌水量时间序列均存在明显的混沌特性。这不仅为今后矿区地下水系统的非线性研究提供了理论依据,而且为矿井涌水量预测模型的选择提供了有力的依据。The long-term evolvement of groundwater system in mining area is infected by the time series of mine hydraulic discharge. According to the phase space reconstruction technique, the auto-correlation function method and the false adjoint point method are adopted to confirm the best delay time and the best embedding dimension. After reconstructing the phase space, using the technique that pick-up the Lyapunov exponent from single variable which advanced by Wolf, The Lyapunov exponents of four abundant water karst mines located in Lianshao coalfield in Xiangzhong of Hunan Province are computed. According to chaotic character identification rule, the time series of mine hydraulic discharge of these four mines have chaotic character evidently. The results not only provide the theory foundation for the nonlinear research of groundwater system in the mine area, but also provide a strong foundation for prediction model of mine hydraulic discharge.

关 键 词：矿井涌水量 时间序列 混沌 LYAPUNOV指数 相空间重构 LYAPUNOV指数 单变量时间序列 矿井涌水量 混沌特性 判别准则 计算 地下水系统 重构相空间 相关函数法 

分 类 号：TD742[矿业工程—矿井通风与安全]