A new fractal index Rd for rock roughness

C. Yi, H.G. Zhu, L. Zhang, H.P. Xie

In the proceedings of: GEO2010 Calgary: 63rd Canadian Geotechnical Conference & 6th Canadian Permafrost Conference

Session: M2-B

ABSTRACT: ctal index R for rock roughness d C. Yi, H.G. Zhu, L. Zhang China University of Mining and Technology, Beijing, P R China H.P. Xie Sichuan University, Chengdu, Sichuan, P R China ABSTRACT Based on the fractal theory, a new index Rd for quantitative description of rock surface roughness is proposed in the paper. The new index can better reflect the influence of large-scale roughness on mechanical properties compared to the traditional fractal dimension D. Therefore, it is applicable for the case when the mechanical properties of the interface need to be considered. In this study, a number of natural rough rock surfaces are scanned with laser scanner. Rd and D values are calculated and compared according to the measurement data. The advantage of R is verified. d

RÉSUMÉ: Sur la base de la théorie fractale, un nouvel indice pour la R description quantitative de la rugosité de dsurface de la roche est proposé dans le document. Le nouvel indice peut mieux refléter l'influence de la rugosité de grande envergure sur les propriétés mécaniques par rapport à la dimension traditionnelle fractale D. Par conséquent, il est applicable pour le cas où les propriétés mécaniques de l'interface doivent être prise en considération. Dans cette étude, un certain nombre de surfaces naturelles rock bruts sont numérisés avec un scanner laser. valeurs Ret D sont calculés et comparés selon les données de mesure. d L'avantage de R est vérifiée.d In the study of surface roughness, the altitude of the surface is usually taken as a random variable. Some indexes have been proposed to describe the altitudinal

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