Fractals and chaos

Abstract

Geophysical interpretation techniques have been reformulated after the findings from the analysis of physical properties recorded in different deep bore wells worldwide, which shows that physical properties of the earth system follow fractal instead of random distribution (Dimri, 2005). Recent research in solid earth geophysics employing fractals and chaos includes modeling of the earth’s magnetic and gravity fields, where it has been shown that rocks have scaling stratification (Lovejoy et al., 2008; Lovejoy and Schertzer, 2007). Another, significant research includes simulation of fGn series, which helps to improve the inversion results by way of providing a suitable initial model (Srivastava and Sen, 2009, 2010). In atmospheric sciences, the interesting research is done to model the atmospheric dynamics, which repeats scales after scales and behaves like a cascade (Lovejoy et al., 2009). There are several interesting applications of chaos in climate and rainfall modeling (Hosking, 1984; Sivakumar, 2000).