Omori Law for Sliding of Blocks on Inclined Rough Surfaces

TL;DR

This study investigates the temporal patterns of block sliding events on inclined rough surfaces, revealing Omori-like scaling laws with angle-dependent exponents and log-periodic corrections, advancing understanding of frictional dynamics.

Contribution

It introduces a novel scaling law for sliding events on inclined surfaces, extending Omori law concepts to frictional systems with angle-dependent behavior.

Findings

Scaling relations similar to Omori law are observed.

Scaling exponents vary with the incline angle.

Log-periodic corrections to the scaling are identified.

Abstract

Long sequences of slidings of solid blocks on an inclined rough surface submitted to small controlled perturbations are examined and scaling relations are found for the time distribution of slidings between pairs of large events as well as after and before the largest events. These scaling laws are similar to the Omori law in seismology but the scaling exponents observed are different. Log-periodicity correction to the Omori scaling is also found. It is shown that the scaling behaviors are dependent on the angle that the incline forms with the horizontal.