Abstract
A three-dimensional multi-planar sliding surface method developed from the two-dimensional method is proposed to identify the shape and/or volume of a shallow failure that appears on a mountain slope during heavy rainfall. The method is constructed to satisfy the equilibrium of forces in the cross-sectional and longitudinal directions on an assumed sliding mass that is regarded as being rectangular in plan shape. It was applied to a digital elevation model to determine the site and form of a critical sliding mass on a mountain slope. Calculations made with a testing model of a simple planar slope show that the safety factor calculated using this method is similar to factots obtained by the 3D Hovland and 3D simplified Janbu methods. The method was applied to an actual mountain slope on which a shallow failure caused by heavy rainfall took place. The most probable unstable mass calculated by the model was almost the same as that at the failed site. The method proposed can be used to predict a potentially unstable mass that leads to shallow failure.
Published Version
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