Fractals In Rock Mechanics

Author : Heping Xie
Publisher : CRC Press
Page : 464 pages
File Size : 52,6 Mb
Release : 2020-12-17
Category : Nature
ISBN : 9781000099669

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Fractals in Rock Mechanics by Heping Xie Pdf

Important developments in the progress of the theory of rock mechanics during recent years are based on fractals and damage mechanics. The concept of fractals has proved to be a useful way of describing the statistics of naturally occurring geometrics. Natural objects, from mountains and coastlines to clouds and forests, are found to have boundaries best described as fractals. Fluid flow through jointed rock masses and clusterings of earthquakes are found to follow fractal patterns in time and space. Fracturing in rocks at all scales, from the microscale (microcracks) to the continental scale (megafaults), can lead to fractal structures. The process of diagenesis and pore geometry of sedimentary rock can be quantitatively described by fractals, etc. The book is mainly concerned with these developments, as related to fractal descriptions of fragmentations, damage and fracture of rocks, rock burst, joint roughness, rock porosity and permeability, rock grain growth, rock and soil particles, shear slips, fluid flow through jointed rocks, faults, earthquake clustering, and so on. The prime concerns of the book are to give a simple account of the basic concepts, methods of fractal geometry, and their applications to rock mechanics, geology, and seismology, and also to discuss damage mechanics of rocks and its application to mining engineering. The book can be used as a textbook for graduate students, by university teachers to prepare courses and seminars, and by active scientists who want to become familiar with a fascinating new field.

Author : Heping Xie
Publisher : CRC Press
Page : 472 pages
File Size : 43,9 Mb
Release : 2020-12-18
Category : Technology & Engineering
ISBN : 9781000150346

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Fractals in Rock Mechanics by Heping Xie Pdf

Important developments in the progress of the theory of rock mechanics during recent years are based on fractals and damage mechanics. The concept of fractals has proved to be a useful way of describing the statistics of naturally occurring geometrics. Natural objects, from mountains and coastlines to clouds and forests, are found to have boundaries best described as fractals. Fluid flow through jointed rock masses and clusterings of earthquakes are found to follow fractal patterns in time and space. Fracturing in rocks at all scales, from the microscale (microcracks) to the continental scale (megafaults), can lead to fractal structures. The process of diagenesis and pore geometry of sedimentary rock can be quantitatively described by fractals, etc. The book is mainly concerned with these developments, as related to fractal descriptions of fragmentations, damage and fracture of rocks, rock burst, joint roughness, rock porosity and permeability, rock grain growth, rock and soil particles, shear slips, fluid flow through jointed rocks, faults, earthquake clustering, and so on. The prime concerns of the book are to give a simple account of the basic concepts, methods of fractal geometry, and their applications to rock mechanics, geology, and seismology, and also to discuss damage mechanics of rocks and its application to mining engineering. The book can be used as a textbook for graduate students, by university teachers to prepare courses and seminars, and by active scientists who want to become familiar with a fascinating new field.

Author : Dongjie Xue
Publisher : Springer Nature
Page : 183 pages
File Size : 50,8 Mb
Release : 2022-02-22
Category : Science
ISBN : 9789811697166

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Fractal Algorithm and Its Application in Rock Mechanics by Dongjie Xue Pdf

This book focuses on learning and adapting nonlinear geometry tool in rock engineering through fractal theories, hypotheses, algorithm, practical understandings, and case studies. Understanding self-similarity and self-affinity is a prerequisite to the fractal model in rock mechanics. The book aims to provide a guide for the readers seeking to understand and build nonlinear model by fractal algorithm. The book is motivated by recent rapid advances in rock engineering in China including application of fractal theory, in addition to percolation theory. It is an essential reference to the most promising innovative rock engineering. Chapters are carefully developed to cover (1) new fractal algorithms (2) five engineering cases. This authored book addresses the issue with a holistic and systematic approach that utilizes fractal theory to nonlinear behavior in rock engineering. The book is written for researchers interested in rock and geological engineering as well as organizations engaged in underground energy practices.

Author : Dimitrios Kolymbas
Publisher : Unknown
Page : 0 pages
File Size : 42,7 Mb
Release : 2004
Category : Engineering geology
ISBN : 3832505830

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Fractals in Geotechnical Engineering by Dimitrios Kolymbas Pdf

Self-similarity is a striking and ubiquitous characteristic of structures in geology. On the other hand, capturing of scale effects is one of the main challenges in geotechnical engineering. There, the usual approach is to extrapo-late laboratory findings toward large scale problems. Whereas this procedure is passable for small grained soils, it proves unrealistic for coarse grained soils and rock, especially jointed one. As a consequence, the prediction of e.g. water inrush into a large tunnel based on the examination of rock samples and spot-wise packer tests proves to be hardly possible. The new branch of fractal analysis encompasses both notions, self-similarity and scale effects. Therefore, it pricks up the geotechnical engineer's ears and evokes the hope that it can help to treat the related problems. A more thorough view, however, shows that the exploitation of fractal analysis in the above sense is not so straightforward. First of all, our limited range of observance over several scales inhibits to check and quantify the scale effect. At that, we lack the mathematical tools to treat problems that exhibit a continuous scale dependence, as this is the case with fractal materials.

Author : Paul C. McWilliams,John C. Kekering,Stanley M. Miller
Publisher : Unknown
Page : 48 pages
File Size : 48,5 Mb
Release : 1993
Category : Mineral industries
ISBN : UOM:39015077558875

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Estimation of Shear Strength Using Fractals as a Measure of Rock Fracture Roughness by Paul C. McWilliams,John C. Kekering,Stanley M. Miller Pdf

Author : Jaak J.K. Daemen,Richard A. Schultz
Publisher : CRC Press
Page : 968 pages
File Size : 49,7 Mb
Release : 1995-01-01
Category : Technology & Engineering
ISBN : 9054105526

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Rock Mechanics by Jaak J.K. Daemen,Richard A. Schultz Pdf

This volume presents the proceedings of a symposium on rock mechanics, held in the USA in 1995. Topics covered include: rock dynamics; tool-rock interaction; radioactive waste disposal; underground mining; fragmentation and blasting; theoretical and model studies; hydrology; and rock creep.

Author : Meifeng Cai
Publisher : CRC Press
Page : 1059 pages
File Size : 45,9 Mb
Release : 2011-09-22
Category : Technology & Engineering
ISBN : 9780415620802

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Rock Mechanics: Achievements and Ambitions by Meifeng Cai Pdf

Rock Mechanics: Achievements and Ambitions contains the papers accepted for the 2nd ISRM International Young Scholars’ Symposium on Rock Mechanics, which was sponsored by the ISRM and held on 14–16 October 2011 in Beijing, China, immediately preceding the 12th ISRM Congress on Rock Mechanics. Highlighting the work of young teachers, researchers and practitioners, the present work provides an important stimulus for the next generation of rock engineers, because in the future there will be more emphasis on the use of the Earth’s resources and their sustainability, and more accountability of engineers’ decisions. In this context, it is entirely appropriate that the Symposium venue for the young scholars was in China — because of the rock mechanics related work that is anticipated in the future. For example, in the Chinese Academy of Sciences report, “Energy Science and Technology in China: A Roadmap to 2050”, it is predicted that China’s total energy demand will reach 31, 45, 61 and 66 x 108 tce (tonnes of coal equivalent) in 2010, 2020, 2035, 2050. The associated per capita energy consumption for the same years is estimated at 2.3, 3.1, 4.1 and 4.6 tce. This increasing demand will be met, inter alia, by the continued operation and development of new coal mines, hydroelectric plants and nuclear power stations with one or more underground nuclear waste repositories, all of which will be improved by more modern methods of rock engineering design developed by young scholars. In particular, enhanced methods of site investigation, rock characterisation, rock failure understanding, computer modelling, and rock excavation and support are needed. The topics in the book include contributions on: - Field investigation and observation - Rock constitutive relations and property testing - Numerical and physical modeling for rock engineering - Information technology, artificial intelligence and other advanced techniques - Underground and surface excavation and reinforcement techniques - Dynamic rock mechanics and blasting - Predication and prevention of geo-environmental hazard - Case studies of typical rock engineering Many of the 200 papers address these topics and demonstrate the skills of the young scholars, indicating that we can be confident in the continuing development of rock mechanics and rock engineering, leading to more efficient, safer and economical structures built on and in rock masses. Rock Mechanics: Achievements and Ambitions will appeal to professionals, engineers and academics in rock mechanics, rock engineering, tunnelling, mining, earthquake engineering, rock dynamics and geotechnical engineering.

Author : Jörn H. Kruhl
Publisher : Springer Science & Business Media
Page : 421 pages
File Size : 47,7 Mb
Release : 2013-06-29
Category : Science
ISBN : 9783662073049

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Fractals and Dynamic Systems in Geoscience by Jörn H. Kruhl Pdf

Fractal geometry allows the description of natural patterns and the establishment and testing of models of pattern formation. In particular, it is a tool for geoscientists. The aim of this volume is to give an overview of the applications of fractal geometry and the theory of dynamic systems in the geosciences. The state of the art is presented and the reader obtains an impression of the variety of fields for which fractal geometry is a useful tool and of the different methods of fractal geometry which can be applied. In addition to specific information about new applications of fractal geometry in structural geology, physics of the solid earth, and mineralogy, proposals and ideas about how fractal geometry can be applied in the reader's field of studies will be put forward.

Author : Xia-Ting Feng
Publisher : CRC Press
Page : 646 pages
File Size : 48,6 Mb
Release : 2017-07-12
Category : Technology & Engineering
ISBN : 9781315319605

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Rock Mechanics and Engineering Volume 2 by Xia-Ting Feng Pdf

Laboratory and Field Testing is the second volume of the five-volume set Rock Mechanics and Engineering and contains nineteen chapters from key experts in the following fields: - Triaxial or True-triaxial Tests under Condition of Loading and Unloading; - Joint Tests; - Dynamic and Creep Tests; - Physical Modeling Tests; - Field Testing and URLs. The five-volume set “Comprehensive Rock Engineering”, which was published in 1993, has had an important influence on the development of rock mechanics and rock engineering. Significant and extensive advances and achievements in these fields over the last 20 years now justify the publishing of a comparable, new compilation. Rock Mechanics and Engineering represents a highly prestigious, multi-volume work edited by Professor Xia-Ting Feng, with the editorial advice of Professor John A. Hudson. This new compilation offers an extremely wideranging and comprehensive overview of the state-of-the-art in rock mechanics and rock engineering and is composed of peer-reviewed, dedicated contributions by all the key experts worldwide. Key features of this set are that it provides a systematic, global summary of new developments in rock mechanics and rock engineering practices as well as looking ahead to future developments in the fields. Contributors are worldrenowned experts in the fields of rock mechanics and rock engineering, though younger, talented researchers have also been included. The individual volumes cover an extremely wide array of topics grouped under five overarching themes: Principles (Vol. 1), Laboratory and Field Testing (Vol. 2), Analysis, Modelling and Design (Vol. 3), Excavation, Support and Monitoring (Vol. 4) and Surface and Underground Projects (Vol. 5). This multi-volume work sets a new standard for rock mechanics and engineering compendia and will be the go-to resource for all engineering professionals and academics involved in rock mechanics and engineering for years to come.

Author : R. Alejano,Áurea Perucho,Claudio Olalla,Rafael Jiménez
Publisher : CRC Press
Page : 372 pages
File Size : 43,7 Mb
Release : 2014-05-12
Category : Technology & Engineering
ISBN : 9781315749525

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Rock Engineering and Rock Mechanics: Structures in and on Rock Masses by R. Alejano,Áurea Perucho,Claudio Olalla,Rafael Jiménez Pdf

Rock Engineering and Rock Mechanics: Structures in and on Rock Masses covers the most important topics and state-of-the-art in the area of rock mechanics, with an emphasis on structures in and on rock masses. The 255 contributions (including 6 keynote lectures) from the 2014 ISRM European Rock Mechanics Symposium (EUROCK 2014, Vigo, Spain, 27-29 Ma

Author : C.C. Barton,P.R. La Pointe
Publisher : Springer Science & Business Media
Page : 277 pages
File Size : 45,8 Mb
Release : 2013-06-29
Category : Technology & Engineering
ISBN : 9781489913975

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Fractals in the Earth Sciences by C.C. Barton,P.R. La Pointe Pdf

Fractals have changed the way we understand and study nature. This change has been brought about mainly by the work of B. B. Mandelbrot and his book The Fractal Geometry of Nature. Now here is a book that collects articles treating fractals in the earth sciences. The themes chosen span, as is appropriate for a discourse on fractals, many orders of magnitude; including earthquakes, ocean floor topography, fractures, faults, mineral crystallinity, gold and silver deposition. There are also chapters on dynamical processes that are fractal, such as rivers, earthquakes, and a paper on self-organized criticality. Many of the chapters discuss how to estimate fractal dimensions, Hurst exponents, and other scaling exponents. This book, in a way, represents a snapshot of a field in which fractals has brought inspiration and a fresh look at familiar subjects. New ideas and attempts to quantify the world we see around us are found throughout. Many of these ideas will grow and inspire further work, others will be superseded by new observations and insights, most probably with future contributions by the authors of these chapters.

Author : John A. Hudson
Publisher : Thomas Telford
Page : 514 pages
File Size : 53,7 Mb
Release : 1992
Category : Mining engineering
ISBN : 0727716883

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Rock characterization by John A. Hudson Pdf

Author : SCHOLZ,MANDELBROT
Publisher : Birkhäuser
Page : 312 pages
File Size : 42,9 Mb
Release : 2013-11-22
Category : Science
ISBN : 9783034863896

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Fractals in Geophysics by SCHOLZ,MANDELBROT Pdf

Reprint from Pure and Applied Geophysics (PAGEOPH), Volume 131 (1989), No. 1

Author : Brian H. Kaye
Publisher : John Wiley & Sons
Page : 452 pages
File Size : 48,5 Mb
Release : 2008-07-11
Category : Technology & Engineering
ISBN : 9783527615988

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A Random Walk Through Fractal Dimensions by Brian H. Kaye Pdf

Fractal geometry is revolutionizing the descriptive mathematics of applied materials systems. Rather than presenting a mathematical treatise, Brian Kaye demonstrates the power of fractal geometry in describing materials ranging from Swiss cheese to pyrolytic graphite. Written from a practical point of view, the author assiduously avoids the use of equations while introducing the reader to numerous interesting and challenging problems in subject areas ranging from geography to fine particle science. The second edition of this successful book provides up-to-date literature coverage of the use of fractal geometry in all areas of science. From reviews of the first edition: "...no stone is left unturned in the quest for applications of fractal geometry to fine particle problems....This book should provide hours of enjoyable reading to those wishing to become acquainted with the ideas of fractal geometry as applied to practical materials problems." MRS Bulletin

Author : Alberto Carpinteri
Publisher : CRC Press
Page : 613 pages
File Size : 52,6 Mb
Release : 2002-11-01
Category : Architecture
ISBN : 9781482294880

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Size-Scale Effects in the Failure Mechanisms of Materials and Structures by Alberto Carpinteri Pdf

Invited international contributions to this exciting new research field are included in this volume. It contains the specially selected papers from 45 key specialists given at the Symposium held under the auspices of the prestigious International Union of Theoretical and Applied Mechanics at Turin in October 1994.