Applications of Fractal Dimensions in Rock Mechanics and Geomechanics

Dear Colleagues,

Fractal geometry has emerged as a powerful tool to quantify the complexity of irregular structures and scale-invariant patterns in geological media. In rock mechanics, fractal dimension provides critical insights into multiscale phenomena, ranging from microcrack networks to macroscopic rock mass behavior. This Special Issue aims to consolidate cutting-edge research on fractal dimension-based characterization, modeling, and predictive analytics for rock systems. We invite contributions that bridge theoretical innovations with engineering applications, addressing challenges such as nonlinear deformation, fracture propagation, fluid flow in fractured reservoirs, and seismic hazard assessment.

Finally, we would like to thank Dr. Dejun Liu (State Key Laboratory of Intelligent Construction and Healthy Operation & Maintenance of Deep Underground Engineering, China University of Mining and Technology) for his valuable work in assisting us with this Special Issue.

Topics of interest include (but are not limited to) the following:

• Fractal characterization of rock fracture networks and damage evolution;
• Fractal dimension-based permeability modelling in fractured porous media;
• Multifractal analysis of acoustic emission/earthquake catalogues;
• Machine learning-enhanced fractal dimension quantification from imaging data;
• Scale effects in rock strength and fragmentation processes;
• Fractal dimension applications in unconventional reservoir geomechanics;
• Coupled THMC processes in fractal rock systems;
• Digital rock physics with fractal descriptors.

Prof. Dr. Hai Pu
Dr. Kangsheng Xue
Guest Editors

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