Naslov (eng)

Modelling of landslide dynamics: role of displacement delay and natural background noise

Autor

Kostić, Srđan

Publisher

Opis (eng)

Abstract: Novel stochastic landslide model is suggested and analyzed within this paper. The effect of delay in displacements of the neighboring blocks and the influence of random background noise is included, for the first time, in the explicit mathematical model and examined. Such setup of landslide model is considered as close to natural conditions since delayed displacement among different parts of the unstable slope occurs due to changes in friction, while ambiental seismic noise represents continuous background factor affecting the landslide dynamics. Type of noise as linear stationary stochastic process with Gaussian inputs (random noise) is determined by surrogate testing of the recordings of ambiental noise before and after the small seismic event at the location of Zavoj dam in Serbia. Two explicit mathematical models are suggested for landslide dynamics: two-block model with time delay in displacement of the neighboring blocks and model of n all-toall coupled blocks with included delay and random background noise. Both models exhibit small displacements of constant velocity in equilibrium state, which mimics well the dynamics of creeping landslides. Dynamical analysis of both models is conducted numerically using RungeKutta 4th order numerical method. Results obtained indicate that landslide dynamics is not affected by the introduced time delay for certain friction conditions, while background random noise has surprisingly positive stabilizing effect. In particular, it appears that the increase of time delay in a two-block deterministic landslide model for certain friction conditions does not lead to onset of instability. On the other hand, the increase in intensity of random background noise in a landslide model near the bifurcation point composed of n globally coupled blocks ''pushes'' the bifurcation curve further thus making the examined dynamical system stable. These findings, although provided on a theoretical level of the mechanism behind the landslide dynamics, could have important implications in further research on landslide dynamics.

Jezik

engleski

Datum

2023

Licenca

© All rights reserved

Predmet

Keywords: landslide, noise, time delay, bifurcation

Deo kolekcije (1)

o:243

Institut za vodoprivredu "Jaroslav Černi"