Complexity of frictional interfaces: a complex network perspective

Abstract

The shear strength and stick-slip behaviour of a rough rock joint are analysed using the complex network approach. We develop a network approach using correlation patterns of void spaces of an evolvable rough fracture (crack type II). Correlation among networks' properties with the hydro-mechanical attributes (obtained from experimental tests) of fracture before and after slip is the direct result of the revealed non-contacts networks. We show that networks' parameters yield a close relation to the contact zones' attachment-detachment sequences through the evolution of frictional interfaces. Furthermore results showed correlated patterns of sheared interfaces demonstrating assortative networks indicating the role of ‘hubs’ in driving frictional interfaces. Also, we discuss the scaling of fraction of ‘loops’ in formed networks with different stages of shear strength evolution. Our method can be developed to investigate the complexity of stick-slip behaviour of faults as well as new interpretations of friction laws in terms of network parameters.

Keywords:

• frictional interface
• rock joint
• shear strength
• stick-slip
• complex networks
• correlation
• contact areas

Acknowledgements

The first author would like to acknowledge and thank Mrs J. Youssefian, who shared her comments and suggestions during the preparation of the manuscript.