›› 2010, Vol. 31 ›› Issue (8): 2604-2612.

• Numerical Analysis • Previous Articles     Next Articles

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

PAN Yue1, ZHAO Zhi-gang2 , ZHANG Xiao-wu 1   

  1. 1. College of Civil engineering, Qingdao Technological University, Qingdao ,Shangdong 266520, China; 2. College of Resource and Environmental Engineering, Shandong University of Science and Technology, Qingdao, Shangdong 266510, China
  • Received:2009-01-04 Online:2010-08-10 Published:2010-08-30

Abstract:

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 and the composite function as kernel function. The primary formulas of relative hole depth and outburst parameter in kernel function are given. The conclusions are helpful to deepen and abound the understanding of physical essence of outburst.

Key words: coal and gas outburst, hole, coal shell failure, complexity, chaos, Logistic mappings, iteration

CLC Number: 

  • TD 324+.1
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