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 : 2020-12-18

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 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
Release Date : 2023-02-24

Fractal Algorithm And Its Application In Rock Mechanics written by Dongjie Xue and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-24 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.

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.

Frontiers Of Rock Mechanics And Sustainable Development In The 21st Century

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Author : Wang Sijing
language : en
Publisher: CRC Press
Release Date : 2001-01-01

Frontiers Of Rock Mechanics And Sustainable Development In The 21st Century written by Wang Sijing and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-01 with Technology & Engineering categories.

These proceedings contain the scientific contributions presented at the 2nd Asian Rock Mechanics Symposium (ISRM 2001 - 2nd ARMS). The theme of the symposium was "Frontiers of Rock Mechanics and Sustainable Development in the 21st Century".

Rock Characterization

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Author : John A. Hudson
language : en
Publisher: Thomas Telford
Release Date : 1992

Rock Characterization written by John A. Hudson and has been published by Thomas Telford this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mining engineering categories.

Fractals In The Earth Sciences

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Author : C.C. Barton
language : en
Publisher: Springer Science & Business Media
Release Date : 1995-02-28

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 1995-02-28 with Mathematics categories.

This well-illustrated volume reviews the many applications of fractal geometry used to study earth science patterns and processes. Designed as an introduction to this new area of study, the papers represent a broad spectrum of earth science disciplines where patterns have proven to be fractal over many orders of magnitude in time or space. This volume features an exhaustive list of published fractal dimensions measured for earth science patterns.

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 Reservoir Engineering

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Author : H. H. Hardy
language : en
Publisher: World Scientific
Release Date : 1994

Fractals In Reservoir Engineering written by H. H. Hardy and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Technology & Engineering categories.

Many natural objects have been found to be fractal and fractal mathematics has been used to generate many beautiful ?nature? scenes. Fractal mathematics is used in image compression and for movies and is now becoming an engineering tool as well. This book describes the application of fractal mathematics to one engineering specialty ? reservoir engineering. This is the process of engineering the production of oil and gas. The reservoir engineer's job is to design and predict production from underground oil and gas reservoirs. The successful application of fractal mathematics to this engineering discipline should be of interest, not only to reservoir engineers, but to other engineers with their own potential applications as well. Geologists will find surprisingly good numerical descriptions of subsurface rock distributions. Physicists will be interested in the application of renormalization and percolation theory described in the book. Geophysicists will find the description of fluid flow scaling problems faced by the reservoir engineer similar to their problems of scaling the transport of acoustic signals.

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.