Estudo da variação do coeficiente de restituição na resposta das encostas às quedas de blocos

Abstract

The rocky slopes, by their nature, are susceptible to mass movement caused by weathering and / or by human influence, which can trigger the fall of rock blocks in large volumes and with high elevation, causing disasters during their trajectory. The objective of this work is to analyze and compare, using a Chaos theory, which is a field of study for complex systems and of high sensitivity to initial conditions, if the fall of blocks derived from rocky slopes with concave and / or convex surfaces present a different response from the chaotic behavior variation of the variation of restitution coefficients, with the application in the RocFall program. Thus, as in the research by Ignacio (2019), the results obtained by the mass movements of the type of falling blocks can be studied by the Chaos Theory. More specifically, the weak or strongly chaotic behavior is associated with the geometric shape of the studied concave and / or convex slope surfaces. Advanced studies even though, the lower the value of the normal and tangential restitution coefficients - and, consequently, the greater the damping of successive shocks of the blocks - for the four rocky slopes of different geometries, the greater the probability of the number of blocks in each final finishing position slopes downwards to converge to a generalized probability distribution, given by the Extended q-Exponential expression. Thus, it was admitted that the weak or strongly chaotic behavior does not depend only on the type of surface of the slopes, but also on the values of the restitution coefficients. Thus, it is expected that, with a greater understanding of the intrinsic parameters that interfere with the movement of rock masses and how they manifest themselves, it will be more necessary as a technique for stabilizing the slopes for each scenario.