Research on Chaos Characteristic of Crack Evolution in Coal-rock Fracturing

  • سال انتشار: 1396
  • محل انتشار: مجله علوم و فن آوری نفت، دوره: 7، شماره: 2
  • کد COI اختصاصی: JR_JPSTR-7-2_006
  • زبان مقاله: انگلیسی
  • تعداد مشاهده: 122
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نویسندگان

wanchun zhao

Department of Petroleum Engineering, Northeast Petroleum University

dan zhao

Department of Petroleum Engineering, Northeast Petroleum University

tingting wang

Department of Electrical Engineering & Information, Northeast Petroleum University

dongfeng jiang

Department of Petroleum Engineering, Northeast Petroleum University

چکیده

Precisely describing the formation and evolution rules of coal-rock fracturing crack have great value on reservoir fracturing improvement and highly efficient mining of coal bed methane well. In this paper, a non-linear dynamic method is used to study crack damage evolution behavior of coal-rock fracturing. Considering distribution characteristics of natural cracks in coal-rock, and based on damage mechanics, a mathematical model on stress around the tip of coal-rock fracturing crack and crack evolution is developed. Micro-crack amounts, circumferential stress, and axial stress at the crack tip of coal-rock fracturing crack evolution process are used as characteristic indicators to describe crack evolutionary. C-C method is chosen to reconstruct the phase space of coal-rock fracturing crack evolution. Correlation dimension, Lyapunov index, and Kolmogorov entropy are introduced as chaos characteristic quantities of crack evolution system, and the process of coal-rock fracturing crack damage evolution could be calculated and described. Coal-rock mass of Zhangchen mining area in Heilongjiang, China was used as a research object, and the results show that as the radial stress increases, the Kolmogorov entropy and the degree of chaos decrease; also, as the circumferential stress increases, the Kolmogorov entropy increases, and a higher degree of chaos is obtained; increasing the number of micro-cracks evolution raises Kolmogorov entropy up to a critical value, and then the Kolmogorov entropy drops, which means the chaotic degree decreases. The results calculated show that crack formation is a damage evolution process which has chaos characteristics. Finally, we provided a new way for further research on coal-rock fracturing crack evolution regularities.

کلیدواژه ها

Coal-rock Fracturing, Crack Evolutionary, Chaos Characteristic, Nonlinear Dynamics, Zhangchen Mining Area

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