Nonlinear Finite Element Analysis Of Open-Pit Slopes In Incompetent Rock

Open-pit mines are constructed in materials characterized by the complete range of geologic materials from the most recent alluvial sediments to hard intact crystalline rock. The determination of stable slopes in recent alluvium is in the realm of soil mechanics, an established engineering discipline, well founded on theoretical development and years of substantiating experience. The analytical tools of the soils engineer are chiefly derived from continuum mechanics wherein load-deformation response is governed by mass properties of the substance. At the other end of the spectrum, slopes in hard unweathered rock can generally be analyzed in a straightforward manner by the methods of discontinuum mechanics wherein the properties and orientations of joints control the response of the material. This approach is exemplified by the classical work of Terzaghi (1962). In between these two extremes is a gray area of material types which are composed of stiff soil and incompetent rock. This area is of importance to the mining engineer, since a large portion of open-pit mines is excavated wholly or in part into incompetent rock. This paper describes an approach to pit slope design in incompetent rock in which the material behaves essentially as a continuum. A wide range of geologic materials from stiff soil to poorly indurated sandstone and shale to crushed or weathered crystalline rock appear to fit in this category. These materials all possess certain mechanical properties which must be accounted for in a realistic assessment of slope stability. These properties include nonlinearity, s tress -dependency, and inelasticity. Further considerations involve residual stresses and time-dependent seepage pressures where groundwa.ter is present.