Understanding volcanic activity is crucial for uncovering the fundamental physical mechanisms governing this natural phenomenon. In this study, we show the application of multifractal and statistical analysis, to investigate changes associated with volcanic activity. We aim to identify significant variations within the physical processes related to changes in volcanic activity. These methodologies offer the potential to identify pertinent changes preceding a high-energy explosion.

The Mexican subduction zone along the Pacific coast is one of the most active seismic zones in the world, where every year larger-magnitude earthquakes shake huge inland cities such as Mexico City. In this work, we use TREMOL (sThochastic Rupture Earthquake ModeL) to simulate the seismicity observed in this zone. Our numerical results reinforce the hypothesis that in some subduction regions single asperities are responsible for producing the observed seismicity.

Earthquake aftershocks display spatiotemporal correlations arising from their self-organized critical behavior. Stochastical models such as the fiber bundle (FBM) permit the use of an analog of the physical model that produces a statistical behavior with many similarities to real series. In this work, a new model based on FBM that includes geometrical faults systems is proposed. Our analysis focuses on aftershock statistics, and as a study case we modeled the Northridge sequence.

Earthquakes are the result of brittle failure within the heterogeneous crust of the Earth. In this article, we present a computer code called the stochasTic Rupture Earthquake MOdeL, TREMOL v0.1, developed to investigate the rupture process of asperities on the earthquake rupture surface. According to our results, TREMOL is able to simulate the magnitudes of real earthquakes, showing that it can be a powerful tool to deliver promising new insights into earthquake rupture processes.

The Volcán de Colima (Mexico) is commonly hit by hurricanes that form over the Pacific Ocean, triggering multiple lahars along main ravines on the volcano. Rainfall-runoff simulations were compared with the arrival time of main lahar fronts, showing that flow pulses can be correlated with rainfall peak intensity and watershed discharge, depending on the watershed area and shape. This outcome can be used to implement an early warning system based on the monitoring of a hydro-meteorological event.