Understanding the non-linear behaviour of rock and rockmass by Heterogenous Fractals

Authors

Shivakumar KarekalFollow

RIS ID

103563

Publication Details

Karekal, S. (2013). Understanding the non-linear behaviour of rock and rockmass by Heterogenous Fractals. International Conference on Non-linear Systems (CLNS-)

Abstract

Ever since Mandelbrot coined the Fractal dimension, many non-linear problems have been solved. Fractal represents scale invariant and self similar behaviour of a system. Highly non-linear chaotic dynamical systems are often modelled by the Fractal techniques. In this paper, the author has attempted to understand the non-linear behaviour of the rock/rockmass that are governed by the fracturing process using Fractals. Further, it has been shown that homogeneous fractal may not be sufficient to characterise the heterogeneous structure of rockmass and therefore heterogeneous fractal technique is made use of to characterise the heterogenity of the rock mass in regional scale (several meters length scale). A brief case study is presented to characterise the regional scale behaviour of rockmass vis a vis the causative factors for impending rock bursts in deep underground mines.