Gradient pattern analysis of extended convection–diffusion

In this paper, we introduce a wave transport scenario useful for investigation of spatio-temporal energy transport related to earthquake phenomena. We perform gradient pattern analysis (GPA) of convection–diffusion patterns given by the solution of 2D Burger's equation. The GPA leads to characterize initial condition coherence and pattern equilibrium during its spatiotemporal evolution. This transport phenomenon is discussed in terms of its dependence to the initial condition pattern distribution. The initial condition variability is given by a set of symmetric energy distributions (Gaussian and non-Gaussian) obtained from variations of the Tsallis q-parameter. The results have shown that the GPA is able to characterize different spatio-temporal convective-diffusion patterns by means of its asymmetric phase diagram and this can be an useful tool for the study of energy loading and convective–diffusion drop patterns involved in the earthquake prediction.