The necessity of 3D analysis in open pit, rock slope, stability analysis – in theory and practice

Geotechnical models developed during the open pit mine planning stage are generally three-dimensional (3D) in component to capture the spatial variation in geological, structural, hydrogeological and geomechanical conditions. Yet when geotechnical analysis is completed, often the 3D geological, hydrogeological and structural models are simplified to two-dimensions (2D). This paper demonstrates this simplification, through referenced case studies, can lead to the wrong failure mechanism being analysed and/or a conservative Factor of Safety (FOS), or Strength Reduction Factor (SRF), being calculated, leading to a false sense of stability. There exists a paradigm that the FOS calculated using 2D limit equilibrium (LE), or the Strength Reduction Factor (SRF) calculated using 2D finite element (FE), modelling methods is generally conservative, ie lower, than the true FOS. However, this assumption that 3D FOS, or 3D SRF, is always higher than 2D FOS, or 2D SRF, is not always correct (Chen and Chameau, 1983; Bromhead and Martin, 2004; Herza et al, 2017; Pyke, 2017; Dana et al, 2018).