Journal ArticleDOI
Fractal-geometry techniques in the quantification of complex rock structures: A special view on scaling regimes, inhomogeneity and anisotropy
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TLDR
In this paper, the authors present a special view on the quantification of these properties by classical and newly developed fractal-geometry methods, discusses advantages and disadvantages of special methods and outlines the correlations between structure quantifications and rock properties and structure-forming processes, presented in the literature.About:
This article is published in Journal of Structural Geology.The article was published on 2013-01-01. It has received 96 citations till now. The article focuses on the topics: Scaling & Fractal.read more
Citations
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A fractal analysis of permeability for fractured rocks
TL;DR: In this article, a fractal scaling law for length distribution of fractures and the relationship among the fractal dimension for fracture length distribution, fracture area porosity and the ratio of the maximum length to the minimum length of fractures are proposed.
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Review: Mathematical expressions for estimating equivalent permeability of rock fracture networks
TL;DR: A review of previous works that have focused on the estimation of equivalent permeability of two-dimensional (2D) discrete fracture networks (DFNs) considering the influences of geometric properties of fractured rock masses is provided in this article.
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A fractal model based on a new governing equation of fluid flow in fractures for characterizing hydraulic properties of rock fracture networks
TL;DR: In this article, a fractal length distribution model of fractures in discrete fracture networks (DFNs) is presented, which is based on the cubic law of the fractal dimension.
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Spatial arrangement of faults and opening-mode fractures
Stephen E. Laubach,Juliette Lamarche,B.D.M. Gauthier,William M. Dunne,David J. Sanderson,David J. Sanderson +5 more
TL;DR: In this article, the authors highlight recent progress with respect to characterizing and understanding the spatial arrangements of fault and fracture patterns, providing examples over a wide range of scales and structural settings.
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Fractal analysis of permeability of dual-porosity media embedded with random fractures
TL;DR: In this article, an analytical scheme for the media is presented by the fractal theory and technique based on the fact that the length distribution of random fractures obeys fractal scaling law and flow in each fracture follows the cubic law.
References
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Book
The Fractal Geometry of Nature
TL;DR: This book is a blend of erudition, popularization, and exposition, and the illustrations include many superb examples of computer graphics that are works of art in their own right.
Journal ArticleDOI
Watersheds in digital spaces: an efficient algorithm based on immersion simulations
Luc Vincent,Pierre Soille +1 more
TL;DR: A fast and flexible algorithm for computing watersheds in digital gray-scale images is introduced, based on an immersion process analogy, which is reported to be faster than any other watershed algorithm.
Book
Fractals Everywhere
TL;DR: Focusing on how fractal geometry can be used to model real objects in the physical world, this up-to-date edition featurestwo 16-page full-color inserts, problems and tools emphasizing fractal applications, and an answers section.
Journal ArticleDOI
Characterization of Strange Attractors
TL;DR: In this article, a measure of strange attractors is introduced which offers a practical algorithm to determine their character from the time series of a single observable, and the relation of this measure to fractal dimension and information-theoretic entropy is discussed.