煤岩突出中孔深扩展与孔洞形成的阵发混沌模型  

Intermittent chaotic model of hole depth developing and opening formation in coal and gas outburst

作　　者：潘岳[1] 赵志刚[2] 张孝武[1] 

机构地区：[1]青岛理工大学,土木工程学院,山东青岛266520 [2]山东科技大学,资源与环境学院,山东青岛266510

出　　处：《岩土力学》2010年第8期2604-2612,共9页Rock and Soil Mechanics

基　　金：山东省自然科学基金资助项目(No.Y2005-A03);山东省教委重点资助项目(No.G04D15)

摘　　要：煤与瓦斯突出是煤岩-瓦斯系统远离平衡状态下的高度非线性行为,是井下开挖引发的最复杂的动力灾害。对混沌理论作了简要回顾,在该理论背景下研究煤与瓦斯突出演化过程的特性,得到煤岩系统在突出前处于嵌套层次较低的混沌态,而短暂时间内雪崩式突出一系列可简化为球壳形式的煤体形成孔洞是处于阵发混沌态有节奏的快速迭代阶段和突出停止后处于状态稳定的平衡态的认识。鉴于描述复杂性问题各类非线性映射所表现出的普适性质,在数学上可用Logistic函数f(x,μ)=μx(1-x)及其复合函数F(3,x)=f(3)(x,μ)为核函数的阵发混沌态迭代运算,来对突出的发生、发展和终止行为进行描述,并给出核函数中相对孔深x和突出参数μ的初步形式。该研究可深化和丰富对突出物理本质的认识。Coal and gas outburst is one highly nonlinear behavior of coal-gas system far away from equilibrium,which is the most complex dynamic disaster triggered by underground mining.Chaos theory is briefly reviewed first,and evolution process of coal and gas outburst is analyzed based on this theory.It is thought that coal and rock system is in a chaotic state of lower nested tier before outburst,and during outburst a series of simplified coal shells are avalanching burst in a short time,holes are formed in a rhythmical fast iterative stage of intermittent chaos state;and the system is in a stable equilibrium state after outburst.The behaviors of outburst occurrence,development and termination,based on the universal properties of various nonlinear mappings in describing complex problems,can be expressed by the intermittent chaos state iterative computation which uses the Logistic function f（x,μ）= μx（1-x） and the composite function F（3,x） =f（3）（x,μ） as kernel function.The primary formulas of relative hole depth x and outburst parameter μ in kernel function are given.The conclusions are helpful to deepen and abound the understanding of physical essence of outburst.

关 键 词：煤与瓦斯突出 孔洞 煤壳失稳 复杂性 混沌 LOGISTIC映射 迭代 

分 类 号：TD324.1[矿业工程—矿井建设]