Application of the box-counting method in evaluating statistical homogeneity in rock masses

Persistent Link:
http://hdl.handle.net/10150/278511
Title:
Application of the box-counting method in evaluating statistical homogeneity in rock masses
Author:
Fiedler, Reno, 1970-
Issue Date:
1995
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
This thesis discusses the suitability of the box-counting method as a tool describing complex geometrical phenomena in nature by estimating their fractal dimensions, D. The study evaluated the influence of the parameters of the box counting method on the estimated fractal dimension using Koch curves of known fractal properties. It became clear that the employed size range of the applied box networks has the strongest influence on the obtained fractal dimension. A successful application of the box-counting method to generated 2-D joint patterns proved the ability of the fractal dimension to capture the influence of joint size and density on the statistical homogeneity of rock masses. Joint data from a tunnel of the Three Gorges Dam site in China was examined for potential statistical homogeneity. It was possible to find five different statistically homogeneous regions by combining the estimated fractal dimension and a visual geological evaluation of the joint maps.
Type:
text; Thesis-Reproduction (electronic)
Keywords:
Geotechnology.; Engineering, Mining.
Degree Name:
M.S.
Degree Level:
masters
Degree Program:
Graduate College; Mining and Geological Engineering
Degree Grantor:
University of Arizona
Advisor:
Kulatilake, Pinnaduwa H. S. W.

Full metadata record

DC FieldValue Language
dc.language.isoen_USen_US
dc.titleApplication of the box-counting method in evaluating statistical homogeneity in rock massesen_US
dc.creatorFiedler, Reno, 1970-en_US
dc.contributor.authorFiedler, Reno, 1970-en_US
dc.date.issued1995en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractThis thesis discusses the suitability of the box-counting method as a tool describing complex geometrical phenomena in nature by estimating their fractal dimensions, D. The study evaluated the influence of the parameters of the box counting method on the estimated fractal dimension using Koch curves of known fractal properties. It became clear that the employed size range of the applied box networks has the strongest influence on the obtained fractal dimension. A successful application of the box-counting method to generated 2-D joint patterns proved the ability of the fractal dimension to capture the influence of joint size and density on the statistical homogeneity of rock masses. Joint data from a tunnel of the Three Gorges Dam site in China was examined for potential statistical homogeneity. It was possible to find five different statistically homogeneous regions by combining the estimated fractal dimension and a visual geological evaluation of the joint maps.en_US
dc.typetexten_US
dc.typeThesis-Reproduction (electronic)en_US
dc.subjectGeotechnology.en_US
dc.subjectEngineering, Mining.en_US
thesis.degree.nameM.S.en_US
thesis.degree.levelmastersen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.disciplineMining and Geological Engineeringen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorKulatilake, Pinnaduwa H. S. W.en_US
dc.identifier.proquest1378276en_US
dc.identifier.bibrecord.b33805313en_US
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