Publication detail

Joint Rock Coefficient Estimation Based on Hausdorff Dimension

MARTIŠEK, D.

Original Title

Joint Rock Coefficient Estimation Based on Hausdorff Dimension

Type

journal article - other

Language

English

Original 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 recognitionprocedures 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.

Keywords

Hausdorff Dimension, Self-Similarity, Self-Affinity, Box Counting Method, Power Function Method, Barton Profile, JRC Index

Authors

MARTIŠEK, D.

Released

18. 12. 2017

Publisher

Scientific Research Publishing

Location

USA

ISBN

2160-0368

Periodical

Advances in Pure Mathematics

Year of study

7

Number

11

State

United States of America

Pages from

615

Pages to

640

Pages count

26

URL

Full text in the Digital Library

BibTex

@article{BUT147476,
  author="Dalibor {Martišek}",
  title="Joint Rock Coefficient Estimation Based on Hausdorff Dimension",
  journal="Advances in Pure Mathematics",
  year="2017",
  volume="7",
  number="11",
  pages="615--640",
  doi="10.4236/apm.2017.711037",
  issn="2160-0368",
  url="http://file.scirp.org/Html/1-5301337_80309.htm"
}