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Determining of the Joint Roughness Coefficient (JRC) of Rock Discontinuities Based on the Theory of Random Fields

Department of Civil Engineering and Geomatics, Cyprus University of Technology, 2-8 Saripolou str, 3603 Limassol, Cyprus
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Geosciences 2019, 9(7), 295; https://doi.org/10.3390/geosciences9070295
Received: 29 May 2019 / Revised: 17 June 2019 / Accepted: 2 July 2019 / Published: 4 July 2019
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Abstract

This work intends to embed the estimation of the joint roughness coefficient (JRC) in the framework of random fields. The random field method is a probabilistic approach which involves modeling of the spatial variability of the pertinent physical quantities as a fundamental part of the (assumed) underlying probabilistic structure. Although this method is one of higher complexity in regard of the presumed background knowledge, it encodes naturally subtler information about the rock surface roughness. It is noted that, the proposed random field approach considers automatically the scale of the problem (no correction factor is needed), whilst the JRC estimates appear to be more stable (compared to those derived from Z2 or SF) in the sense that images of the same profile but of different quality give similar results for its roughness. The present work could also be useful in advanced probabilistic rock slope stability analysis based on random fields. In such a case, the required spatial correlation length θ can be obtained by the proposed θ = 145.5 σ/JRC relationship (σ = variance of the profile). The JRC can be obtained through tilt tests, push or pull tests, or matching roughness profiles, whilst σ can be obtained from inspection of the digitized profile. View Full-Text
Keywords: joint roughness coefficient; Barton-Bandis criterion; random fields; spatial correlation length; Fourier analysis; probabilistic analysis joint roughness coefficient; Barton-Bandis criterion; random fields; spatial correlation length; Fourier analysis; probabilistic analysis
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Gravanis, E.; Pantelidis, L. Determining of the Joint Roughness Coefficient (JRC) of Rock Discontinuities Based on the Theory of Random Fields. Geosciences 2019, 9, 295.

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