Article citationsMore>>

Miller, S.M., McWilliams, P.C. and Kerkering, J.C. (1990) Ambiguities in Estimating Fractal Dimensions of Rock Fracture Surfaces. In: Balkema, A.A., Ed., Proceedings of the 31st U.S. Symposium, Colorado School of Mines, Rotterdam, June 18-20 1990, 471-478.

has been cited by the following article:

• 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.