Publication detail

Self-affine rock joint profiles

FICKER, T.

Original Title

Self-affine rock joint profiles

English Title

Self-affine rock joint profiles

Type

conference paper

Language

en

Original Abstract

The two-dimensional profile curves created by Barton are often used in geotechnics for the determination of the rock joint coefficients. These two-dimensional profiles of solid surfaces show self-affine properties, i.e. they are scaled differently in x- and y- directions. Similarly, the three-dimensional reliefs (3D) of solid surfaces are scaled differently in z-direction in comparison to x- or y-directions. Therefore, the vertical sections of surface reliefs (two-dimensional profiles) are self-affine curve (self-affine fractals) whereas the horizontal sections (horizontal contours) correspond to self-similar fractals. The two-dimensional self-affine profiles require a special treatment when their fractal dimensions are computed. 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 paper briefly describes one of the possible way of performing fractal analysis of the 2D self-affine profiles of rock joints whose fractal dimensions are occasionally used for classification of joint rock coefficients. These coefficients enters the formula of shear strength of inclined rock joints and in this way they assist to evaluate mechanical stability of rocky terrains.

English abstract

The two-dimensional profile curves created by Barton are often used in geotechnics for the determination of the rock joint coefficients. These two-dimensional profiles of solid surfaces show self-affine properties, i.e. they are scaled differently in x- and y- directions. Similarly, the three-dimensional reliefs (3D) of solid surfaces are scaled differently in z-direction in comparison to x- or y-directions. Therefore, the vertical sections of surface reliefs (two-dimensional profiles) are self-affine curve (self-affine fractals) whereas the horizontal sections (horizontal contours) correspond to self-similar fractals. The two-dimensional self-affine profiles require a special treatment when their fractal dimensions are computed. 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 paper briefly describes one of the possible way of performing fractal analysis of the 2D self-affine profiles of rock joints whose fractal dimensions are occasionally used for classification of joint rock coefficients. These coefficients enters the formula of shear strength of inclined rock joints and in this way they assist to evaluate mechanical stability of rocky terrains.

Keywords

Rock jointsů; rock joints coefficients; database profile; fractal dimension; self-affine profiles.

Released

28.11.2017

Publisher

STEF92 Technology Ltd.

Location

Bulharsko

ISBN

978-619-7105-99-5

Book

17th International multidiciplinary scientific geoconference SGEM 2017

Edition

Science and Technology in Geology, Exploration and Mining

Issue number

12

Pages from

713

Pages to

718

Pages count

6

URL

https://sgemworld.at/sgemlib/spip.php?article9115

Documents

BibTex 


@inproceedings{BUT141976,
  author="Tomáš {Ficker}",
  title="Self-affine rock joint profiles",
  annote="The two-dimensional profile curves created by Barton are often used in geotechnics for the determination of the rock joint coefficients. These two-dimensional profiles of solid surfaces show self-affine properties, i.e. they are scaled differently in x- and y- directions. Similarly, the three-dimensional reliefs (3D) of solid surfaces are scaled differently in z-direction in comparison to x- or y-directions. Therefore, the vertical sections of surface reliefs (two-dimensional profiles) are self-affine curve (self-affine fractals) whereas the horizontal sections (horizontal contours) correspond to self-similar fractals. The two-dimensional self-affine profiles require a special treatment when their fractal dimensions are computed. 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 paper briefly describes one of the possible way of performing fractal analysis of the 2D self-affine profiles of rock joints whose fractal dimensions are occasionally used for classification of joint rock coefficients. These coefficients enters the formula of shear strength of inclined rock joints and in this way they assist to evaluate mechanical stability of rocky terrains.",
  address="STEF92 Technology Ltd.",
  booktitle="17th International multidiciplinary scientific geoconference SGEM 2017",
  chapter="141976",
  doi="10.5593/sgem2017/12/S02.091",
  edition="Science and Technology in Geology, Exploration and Mining",
  howpublished="print",
  institution="STEF92 Technology Ltd.",
  number="12",
  year="2017",
  month="november",
  pages="713--718",
  publisher="STEF92 Technology Ltd.",
  type="conference paper"
}