基于特征能量因子的深部围岩分区破裂空间演化特征研究OA

Objectives Due to the limitations of traditional continuum mechanics and fracture mechanics,it is challenging to accurately reveal the spatial structural characteristics of deep surrounding rock,particu-larly under three-dimensional stress states and complex geological conditions.Methods Based on the dimen-sionless conditions derived from quai-resonance and pendulum wave phenomena,a"characteristic energy factor"was derived to reflect the energy evolution of deep rock masses.This factor describes the energy-bearing properties of deep surrounding rock from a statistical physics perspective.Statistical analysis of field monitoring and model test data revealed the spatial variation of the characteristic energy factor during zonal disintegration.Results Comparative analysis with Shemyakin's empirical formula for the farthest frac-ture zone radius and measurement data from the 3213 working face in an underground mine validated the scaling evolution relationship between the spatial structure of zonal disintegration and the characteristic en-ergy factor.This indicates that the evolution of the characteristic energy factor can reflect the spatial struc-tural characteristics of zonal disintegration.Conclusions The proposed model has a minimal number of pa-rameters,is easy to measure,and demonstrates strong practicality and applicability,making it well-suited for predictive analysis and support design in deep tunnel construction.Additionally,this model significantly simplifies calculations and provides a novel approach to improving safety in deep underground engineering.It holds considerable potential for future planning of deep tunnel construction and the development of sur-rounding rock support strategies.