The Analysis of Rock Surface Asperities

Abstract

The analysis of rock surface is commonly used in technical practice. The nature discontinuity rocks are often represented by specific degree of roughness. This value has the significant effect on the rock slope stability. It is defined by the asperities and the computation is based on the visual comparison of discontinuity traces or discontinuity surfaces with standard two-dimensional graphs. The visual comparison is a subjective method, so that we propose novel method for roughness-angles analysis. Our method consists of the application of cosine Fourier series. We tested the method on the sample of limestone. The article also describes the method Surface from Focus that reconstruct the 3D surface from a set of partially focused images.

Mathematical Principles of Object 3D Reconstruction by Shape-from-focus Methods

“…The software written by the first author of this paper. Taken from [45] We can also generalize the notion of low-pass filters used in image processing. They can be used for smoothing an echelon approximation.…”

Computer Estimation of JRC Index Using Function Moments

“…where JRC is the joint roughness coefficient, JSC is the joint compressive strength, φ r is the residual friction angle, and σ n is the normal stress. The JRC and JSC indexes are popularly known (see [2,5,6,8,11,12,18,20,22,26,27] for example). However, the JRC index (first proposed in [6]) is the most problematic term in present; the methods of its estimation are based on the empirical analysis of fracture curves -Barton roughness profiles.…”