矿井构造系统的混沌时间序列分析  

Analytic method about chaos time-series in mine geologic structure

作　　者：汪吉林[1] 姜波[1] 

机构地区：[1]中国矿业大学资源学院,江苏徐州221008

出　　处：《煤田地质与勘探》2005年第4期21-24,共4页Coal Geology & Exploration

基　　金：国家自然科学基金资助项目(40172058)

摘　　要：基于实测的煤层底板的倾角、断层强度、断裂信息维等描述矿井地质构造的指标数据,依据地质构造具有自相似的特性,模拟了矿井地质构造演化的时间序列,并通过重建相空间的方法,计算了时间序列的关联维。实例分析表明:矿井地质构造系统的状态吸引子为混沌吸引子,其演化具有混沌特征;揭示了描述矿井构造系统相空间所需的状态参量维数的大致范围;倾角累计值指标包含了褶皱和断层的多重信息,更能反映系统的混沌特性,其反映的维数更接近于描述混沌系统相空间所需的维数真实值。该方法对矿井构造定量预测和矿井地质保障系统研究具有重要的实践意义。Based on the real data to describe mine geologic structure such as obliquity, intensity of fault,information dimension of fault in coal floor, time series of the mine geological structure evolvement was simulated according to the self-similarity itself. The correlation dimension of time series had been calculated by reconstructing phase space. The analysis of examples indicates that the system state attractor of mine geological structure is chaos attractor and its evolvement has shown chaos character. The approximate scope of parameter dimension to describe mine geological structure system phase space is disclosed. The accumulative value of obliquity can reflect the chaos character more because it includes multi-information for fold and fault. So the dimension it reflected is more close to the real value of dimension to describe the phase space of chaos system. The method is significant in practice for predicting mine structure quantificationally and studying mine geological safeguard system.

关 键 词：煤田 构造体系 动力系统(数学) 混沌(数学)状态 状态重构 

分 类 号：TD163.1[矿业工程—矿山地质测量] O192[理学—数学]