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Journal of Applied Mathematics
Volume 2014, Article ID 158194, 6 pages
Research Article

A Fractal and Numerical Simulation Coupled Study of Fracture Network during Coal Mining Excavation

1School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221116, China
2State Key Laboratory of Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou 221116, China
3Department of Civil Engineering, California State Polytechnic University, Pomona, CA 91768, USA

Received 7 November 2013; Accepted 12 January 2014; Published 23 February 2014

Academic Editor: Guangchen Wang

Copyright © 2014 Yanan Gao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper features a numerical study that is carried out by using discontinuous deformation method (DDA) and fractal geometry. The configurations of rock strata calculated by DDA were imported into a code that is written by using VC++ called “Fractal” to calculate the fractal dimension of the rock strata. As illustrated, a long wall mining case in China was presented. The relationship of the fractal dimension, excavation length, stress, and movement of strata were discussed. The evolution of fractal dimension can be considered as an index of instability or failure. The method proposed in this paper can be employed to predict the period weighting in long wall mining engineering.