TITLE:
Joint Rock Coefficient Estimation Based on Hausdorff Dimension
AUTHORS:
Dalibor Martišek
KEYWORDS:
Hausdorff Dimension, Self-Similarity, Self-Affinity, Box Counting Method, Power Function Method, Barton Profile, JRC Index
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.7 No.11,
November
15,
2017
ABSTRACT: The strength of rock structures
strongly depends inter alia on surface irregularities of rock joints. These
irregularities are characterized by a coefficient of joint roughness. For its
estimation, visual comparison is often used. This is rather a subjective
method, therefore, fully computerized image recognition procedures were proposed.
However, many of them contain imperfections, some of them even mathematical
nonsenses and their application can be very dangerous in technical practice. In
this paper, we recommend mathematically correct method of fully automatic
estimation of the joint roughness coefficient. This method requires only the
Barton profiles as a standard.