Abstract: Statistical analysis of stochastic block is of great significance in understanding the characteristics of stochastic block development and the determination of quantitative support parameters for the block. On the basis of the results of geometrical identification of stochastic block, we studied the statistical distribution regularity of block size and average size. Analysis results indicate that the block size is consistent with negative exponential distribution, while the average size and coverage follow Γ distribution. Furthermore, the determination of parameters for block support design is discussed, for example, according to the distribution regularity of block’s burial depth, the length of rock bolt can be determined based on the reliability theorem. This research reveals the statistical distribution law of stochastic blocks and provides a new approach for rock block support analysis in the presence of stochastic discontinuity cutting.

Key words: stochastic block, identification of stochastic block, statistical analysis of block, law of block distribution, rock block support