Stochastic Continuous Modeling for Pillar Stress Estimation and Comparison with 2D Numerical, and Analytical Solutions in an Underground Stone Mine

Abstract Pillar collapses are events that due to their severe consequences can be classified as high risk. The design of pillars in underground room-and-pillar operations should migrate risk-based approaches. authors this work proposed a pillar methodology integrates stochastic discrete element modeling for strength estimation, and finite volume (FVM) stress estimation. This paper focuses on the FVM component mining geomechanical aspects case study mine (CSM) described stresses estimated by using three approaches: (1) analytical solutions, (2) 2D modeling, (3) 3D modeling. operation extracts 30° dipping deposit, which makes current stone guidelines inapplicable CSM. compares results from each estimation approach discusses uses point estimate method simplified evaluate effect rock mass elastic properties variability distribution. Results show approaches lead different estimations, possibly, wide range assumptions considers. It was also determined horizontal vertical ratio has significant impact magnitude. Therefore, it is recommended perform situ measurements, or assume worst-case-scenario values account reduce uncertainty parameter. used provides integrate framework.