Fractals In Rock Mechanics
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Fractals In Rock Mechanics
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Author : Heping Xie
language : en
Publisher: CRC Press
Release Date : 2020-12-17
Fractals In Rock Mechanics written by Heping Xie and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-17 with Nature categories.
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.
Fractal Algorithm And Its Application In Rock Mechanics
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Author : Dongjie Xue
language : en
Publisher: Springer Nature
Release Date : 2022-02-22
Fractal Algorithm And Its Application In Rock Mechanics written by Dongjie Xue and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-22 with Science categories.
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.
Fractals In Rock Mechanics
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Author : Heping Xie
language : en
Publisher: CRC Press
Release Date : 2020-12-18
Fractals In Rock Mechanics written by Heping Xie and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-18 with Technology & Engineering categories.
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.
Fractals In Geotechnical Engineering
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Author : Dimitrios Kolymbas
language : en
Publisher:
Release Date : 2004
Fractals In Geotechnical Engineering written by Dimitrios Kolymbas and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Engineering geology categories.
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.
Estimation Of Shear Strength Using Fractals As A Measure Of Rock Fracture Roughness
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Author : Paul C. McWilliams
language : en
Publisher:
Release Date : 1993
Estimation Of Shear Strength Using Fractals As A Measure Of Rock Fracture Roughness written by Paul C. McWilliams and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mineral industries categories.
Fractals In The Earth Sciences
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Author : C.C. Barton
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Fractals In The Earth Sciences written by C.C. Barton and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Technology & Engineering categories.
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.
Fractals And Dynamic Systems In Geoscience
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Author : Jörn H. Kruhl
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Fractals And Dynamic Systems In Geoscience written by Jörn H. Kruhl and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Science categories.
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.
Fractals In Geophysics
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Author : SCHOLZ
language : en
Publisher: Birkhäuser
Release Date : 2013-11-22
Fractals In Geophysics written by SCHOLZ and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-22 with Science categories.
Reprint from Pure and Applied Geophysics (PAGEOPH), Volume 131 (1989), No. 1
New Challenges In Rock Mechanics And Rock Engineering
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Author : Roberto Tomás
language : en
Publisher: CRC Press
Release Date : 2024-07-29
New Challenges In Rock Mechanics And Rock Engineering written by Roberto Tomás and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-29 with Technology & Engineering categories.
New Challenges in Rock Mechanics and Rock Engineering includes the contributions presented at the ISRM European Rock Mechanics Symposium Eurock 2024 (Alicante, Spain, 15-19 July 2024), and explores cutting-edge advancements in rock mechanics and rock engineering. This comprehensive compilation covers various aspects of rock mechanics and rock engineering, including: rock properties, testing methods, infrastructure and mining rock mechanics, design analysis, stone heritage preservation, geophysics, numerical modeling, monitoring techniques, underground excavation support, risk assessment, and the application of EUROCODE-7 in rock engineering. Furthermore, it addresses areas like geomechanics for the oil and gas industry, applications of artificial intelligence, remote sensing methodologies and geothermal technology. New Challenges in Rock Mechanics and Rock Engineering covers the latest breakthroughs and tackles the new challenges in rock mechanics and rock engineering, is aimed at scientists and professionals in these fields, and serves as an essential resource for keeping up to date with industry trends and solutions.
Rock Mechanics
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Author : Jaak J.K. Daemen
language : en
Publisher: CRC Press
Release Date : 1995-01-01
Rock Mechanics written by Jaak J.K. Daemen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-01 with Technology & Engineering categories.
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.