Affiliations: [a] Northeast Petroleum University, Daqing, Heilongjiang, China | [b] Science and Technology Innovation Team on Fault Deformation Sealing and Fluid Migration, Northeast Petroleum University, Daqing, Heilongjiang, China
Correspondence:
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Corresponding author: Wanchun Zhao, Science and Technology Innovation Team on Fault Deformation Sealing and Fluid Migration, Northeast Petroleum University, Daqing 163318, Heilongjiang, China. E-mail:zhaowanchun520@163.com
Abstract: The evolution of coal-rock fracturing system has complex
nonlinear and dynamic features. The deformation feature of coal-rock
fracturing and evolution rules of coal-rock crack are accurately
represented, which have great value on conducting the research of coal-rock
permeability feature and solving the problem of coal bed gas production. In
this paper, mathematical model of crack evolution was established. Phase
space was restructured by C-C method. Micro-crack amount, axial stress and
circumferential stress of crack tip were used as study parameters.
Correlation dimension, maximum Lyapunov index and Kolmogorov entropy were
used as chaos characteristic quantities of crack evolution system. By
calculating and analyzing characteristic quantities, results show that crack
evolution behaviour has chaos characteristics.
Keywords: Coal-rock fracturing, phase space reconstruction, chaos characteristics, characteristic quantities
