Pillar Strength Estimation of Underground Stone Mines with Using 2D Discrete Element Modeling

The synthetic rock mass (SRM) approach is a relatively new method to study the mechanical behavior of rock masses. Recently, an SRM approach was established to estimate pillar strength from laboratory scale to in-situ dimension using the two-dimensional Universal Distinct Element Code (UDEC). In this study, the developed methodology is applied to the S-Pillar database to estimate pillar strength and failure mechanisms as a function of width-to-height ratio of the pillars. First, stone mine rocks are categorized into three as low-, medium-, and high-strength according to their uniaxial compressive strength (UCS). Later, laboratory-scale intact rocks are scaled-up to the average in-situ pillar dimensions by explicitly considering the naturally existing joint sets. It is found that the strength of the pillars with low-UCS are overestimated when compared to pillars with high-UCS. This observation is attributed to the high joint density of the pillars with high-UCS. After obtaining in-situ pillar strength, the width-to-height ratios of the pillar models varied from 0.5 to 2.0 to gain a robust understanding of pillar mechanical behavior. Tensile failure is found to govern the pillar behavior with the width-to-height ratio of 0.5 while the combination of tensile failure in rib elements and shear failure in the core