Complex Networks on a Rock Joint

TL;DR

This paper introduces a complex network model for rough rock fractures, using similarity metrics and an evolving network algorithm to analyze shear strength, hydraulic conductivity, and dilation behaviors.

Contribution

It develops a novel complex network approach with an algorithm (CONA) to model the evolution of rock joint apertures under shear conditions.

Findings

Network evolution patterns correlate with shear stress and hydraulic conductivity.

Clustering coefficients and edge numbers display similar evolution patterns.

The model can estimate shear strength distribution of asperities.

Abstract

A complex network approach on a rough fracture is developed. In this manner, some hidden metric spaces (similarity measurements) between apertures profiles are set up and a general evolutionary network in two directions (in parallel and perpendicular to the shear direction) is constructed. Also, an algorithm (COmplex Networks on Apertures: CONA) is proposed in which evolving of a network is accomplished using preferential detachments and attachments of edges (based on a competition and game manner) while the number of nodes is fixed. Also, evolving of clustering coefficients and number of edges display similar patterns as well as are appeared in shear stress, hydraulic conductivity and dilation changes, which can be engaged to estimate shear strength distribution of asperities.