Study on the 3-dimensional Simulation of Rock Fall along a Slope (Subsequent Report)

Application to a Quarry Slope of Unevenness

Abstract

Authors have been studying for these several years on 3-dimensional rock fall simulation program to evaluate rock fall characteristics such as falling velocity, rolling angular velocity, falling trajectory, jumping height, horizontal spread and travelling distance correctly. In a pre vi ous paper, mathematical theory and calculated results for a simple slope were described and discussed. In this paper, judgement method of a triangular element on which the gravity center of a falling block is projected, judgement method if a block corner is contacting or not to the slope surface and providing method of unevenness to a slope are described in detail. Following points were made clear from the examination of role of unevenness to rock fall characteristics. 1) Method to g iv e unevenness against a slope by adding random numbers to apices of triangle elements of the slope is available. 2) Falling velocity, rolling angular velocity and jumping height don't change with the change of unevenness of the slope. 3) Falling trajectory, travelling distance and horizontal spread change considerably with the change of unevenness of the slope. 4) It is considered that this 3-D rock fall simulation program could be used practically, providing a slope model drawn by surveyed coordinates.