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Fractal Analysis of Rock Joint Profiles

FICKER, T.; AUDY, O.

Original Title

Fractal Analysis of Rock Joint Profiles

English Title

Fractal Analysis of Rock Joint Profiles

Type

Paper in proceedings (conference paper)

Original Abstract

Surface reliefs of rock joints are analyzed in geotechnics when shear strength of rocky slopes is estimated. The rock joint profiles actually are self-affine fractal curves and computations of their fractal dimensions require special methods. Many papers devoted to the fractal properties of these profiles were published in the past but only a few of those papers employed a convenient computational method that would have guaranteed a sound value of that dimension. As a consequence, anomalously low dimensions were presented. This contribution deals with two computational modifications that lead to sound fractal dimensions of the self-affine rock joint profiles. These are the modified box-counting method and the modified yard-stick method sometimes called the compass method. Both these methods are frequently applied to self-similar fractal curves but the self-affine profile curves due to their self-affine nature require modified computational procedures implemented in computer programs.

English abstract

Surface reliefs of rock joints are analyzed in geotechnics when shear strength of rocky slopes is estimated. The rock joint profiles actually are self-affine fractal curves and computations of their fractal dimensions require special methods. Many papers devoted to the fractal properties of these profiles were published in the past but only a few of those papers employed a convenient computational method that would have guaranteed a sound value of that dimension. As a consequence, anomalously low dimensions were presented. This contribution deals with two computational modifications that lead to sound fractal dimensions of the self-affine rock joint profiles. These are the modified box-counting method and the modified yard-stick method sometimes called the compass method. Both these methods are frequently applied to self-similar fractal curves but the self-affine profile curves due to their self-affine nature require modified computational procedures implemented in computer programs.

Keywords

Rock joint profiles; fractal dimesnion; box-counting method.

Key words in English

Rock joint profiles; fractal dimesnion; box-counting method.

Authors

FICKER, T.; AUDY, O.

RIV year

2018

Released

28.11.2017

Publisher

IOP Publishing

Location

UK

Book

WMCAUS 2017 - Abstract Collection Book

ISBN

1757-8981

Periodical

IOP Conference Series: Materials Science and Engineering

Volume

245

Number

3

State

United Kingdom of Great Britain and Northern Ireland

Pages from

1

Pages to

4

Pages count

4

URL

http://iopscience.iop.org/article/10.1088/1757-899X/245/3/032006

Full text in the Digital Library

http://hdl.handle.net/11012/137151

BibTex

@inproceedings{BUT141991,
  author="Ondřej {Audy} and Tomáš {Ficker}",
  title="Fractal Analysis of Rock Joint Profiles",
  booktitle="WMCAUS 2017 - Abstract Collection Book",
  year="2017",
  journal="IOP Conference Series: Materials Science and Engineering",
  volume="245",
  number="3",
  pages="1--4",
  publisher="IOP Publishing",
  address="UK",
  doi="10.1088/1757-899X/245/3/032006",
  issn="1757-8981",
  url="http://iopscience.iop.org/article/10.1088/1757-899X/245/3/032006"
}

Documents

Audy_2017_IOP_Conf._Ser.__Mater._Sci._Eng._245_032006