Three-dimensional modeling and analysis of fractal characteristics of rupture source combined acoustic emission and fractal theory

Abstract

Deep mining exploration and the sustainable use of enormous data via acoustic emission (AE) systems is a major experimental approach for fulfilling the perception, characterization, and forecasting for rock engineering catastrophes such mines, tunnels, and water conservation. To carry out the fine numerical characterization of the nonlinear and disordered time-space-energy information in the AE system, we use the fractal theory to analyzing. The key elements such as time, space, and energy of the fracturing source are comprehensively extracted. The fractal dimension statistical framework and its optimal dimension are designed, and the three-dimensional (3D) analysis model that can characterize the actual failure and instability process is constructed. The AE experimental data and numerical simulation are used to obtain the spatial clustering and energy dissipation fractal dimension characteristics of regional AE events in the time domain. The model is optimized and verified on the spot. The results show that the time-space-energy parameters of AE can be characterized by fractal dimension. The fractal dimension analysis model can transform and finely characterize the failure anomaly data. The distribution results of the fractal dimension value field can be consistent with the actual failure. Through iterative optimization and comprehensive verification of the scientificity and applicability of the fractal dimension analysis model, a comprehensive fractal dimension representation method of time-space-energy of fracture source in rock failure process is formed, which can provide guidance for the service and analysis of existing monitoring systems in mines, and provide theoretical support and technical conditions for fine judgment of rock mass failure in mines.