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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 a highly nonlinear behavior of the coal-gas system away from equilibrium and is the most complicated dynamic disaster caused by underground excavation. The chaos theory is briefly reviewed. Under the theoretical background, the characteristics of evolution process of coal and gas outburst are studied. The coal-rock system is in a low-lying chaotic state before prominence, and a series of avalanche-prone The formation of a hole in the form of a coal shell, which is simplified as a spherical shell, is a fast-rhythmic iterative stage of the chaotic state of the paroxysm and recognition of the state of equilibrium in a stable state after stopping. In view of the universality of various nonlinear mappings that describe the complexity problem, we can use the Logistic function f (x, μ) = μx (1-x) and its complex function F (3, x) = f 3) (x, μ) is the iterative computation of the chaotic state of the kernel function to describe the occurrence, development and termination of the prominence. The initial forms of the relative hole depth x and the prominent parameter μ in the kernel function are also given. This research deepens and enriches our understanding of salient physical aspects.