Author: SCHOLZ
Publisher: Birkhäuser
ISBN: 3034863896
Category : Science
Languages : en
Pages : 312

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

Author: Donald L. Turcotte
Publisher: Cambridge University Press
ISBN: 9780521567336
Category : Mathematics
Languages : en
Pages : 424

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Book Description
The fundamental concepts of fractal geometry and chaotic dynamics, along with the related concepts of multifractals, self-similar time series, wavelets, and self-organized criticality, are introduced in this book, for a broad range of readers interested in complex natural phenomena. Now in a greatly expanded, second edition, this book relates fractals and chaos to a variety of geological and geophysical applications. All concepts are introduced at the lowest possible level of mathematics consistent with their understanding, so that the reader requires only a background in basic physics and mathematics.

Author: V.P. Dimri
Publisher: CRC Press
ISBN: 9789054102847
Category : Science
Languages : en
Pages : 254

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Book Description
This text examines the emerging field of fractals and its applications in earth sciences. Topics covered include: concepts of fractal and multifractal chaos; the application of fractals in geophysics, geology, climate studies, and earthquake seismology.

Author: E. Chandrasekhar
Publisher: Taylor & Francis
ISBN: 146655360X
Category : Science
Languages : en
Pages : 306

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Book Description
The subject of wavelet analysis and fractal analysis is fast developing and has drawn a great deal of attention in varied disciplines of science and engineering. Over the past couple of decades, wavelets, multiresolution, and multifractal analyses have been formalized into a thorough mathematical framework and have found a variety of applications w

Author: Heping Xie
Publisher: CRC Press
ISBN: 1000150348
Category : Technology & Engineering
Languages : en
Pages : 472

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Book Description
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: Gabor Korvin
Publisher: Elsevier Publishing Company
ISBN:
Category : Mathematics
Languages : en
Pages : 432

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Book Description
A fractal is a mathematical set or object whose form is extremely irregular and/or fragmented at all scales. So reads Mandelbrot's definition of the term which he coined and widely popularised in his famous monographs. This volume presents the first systematic summary of the fractal models that have been proposed to explain the irregular features and phenomena of the Earth -- from meandering rivers and rugged coastlines to the pore space of reservoir sandstones and the prediction of earthquakes. No previous knowledge of fractals is assumed. Connections and analogies with other fields of natural and technical sciences (physics, biology, fractography, etc.) are always pointed out. More than 300 illustrations are included, demonstrating how fractal geometry reveals astonishing similarities between natural phenomena at widely different scales. The readership for this book is wide and includes: geological scientists, oceanographers, and meteorologists involved in describing and analysing irregular spatial data; as well as applied mathematicians, physicists and computer scientists looking for new fields of research.

Author: Armin Bunde
Publisher: Springer
ISBN: 3642779530
Category : Science
Languages : en
Pages : 317

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Book Description
A deeply detailed discussion of fractals in biology, heterogeneous chemistry, polymers, and the earth sciences. Beginning with a general introduction to fractal geometry it continues with eight chapters on self-organized criticality, rough surfaces and interfaces, random walks, chemical reactions, and fractals in chemisty, biology, and medicine. A special chapter entitled "Computer Exploration of Fractals, Chaos, and Cooperativity" presents computer demonstrations of fractal models: 14 programs are included on a 3 1/2" MS-DOS diskette which run on any PC with at least 1 MB RAM and a EGA or VGA graphics card, 16 colors.

Author: V.P. Dimri
Publisher: Elsevier
ISBN: 0080451586
Category : Mathematics
Languages : en
Pages : 184

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Book Description
Researchers in the field of exploration geophysics have developed new methods for the acquisition, processing and interpretation of gravity and magnetic data, based on detailed investigations of bore wells around the globe. Fractal Models in Exploration Geophysics describes fractal-based models for characterizing these complex subsurface geological structures. The authors introduce the inverse problem using a fractal approach which they then develop with the implementation of a global optimization algorithm for seismic data: very fast simulated annealing (VFSA). This approach provides high-resolution inverse modeling results-particularly useful for reservoir characterization. Serves as a valuable resource for researchers studying the application of fractals in exploration, and for practitioners directly applying field data for geo-modeling Discusses the basic principles and practical applications of time-lapse seismic reservoir monitoring technology - application rapidly advancing topic Provides the fundamentals for those interested in reservoir geophysics and reservoir simulation study Demonstrates an example of reservoir simulation for enhanced oil recovery using CO2 injection

Author: Didier Sornette
Publisher: Springer Science & Business Media
ISBN: 366204174X
Category : Science
Languages : en
Pages : 445

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Book Description
A modern up-to-date introduction for readers outside statistical physics. It puts emphasis on a clear understanding of concepts and methods and provides the tools that can be of immediate use in applications.

Author: Kenneth Falconer
Publisher: OUP Oxford
ISBN: 0191663441
Category : Mathematics
Languages : en
Pages : 153

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Book Description
Many are familiar with the beauty and ubiquity of fractal forms within nature. Unlike the study of smooth forms such as spheres, fractal geometry describes more familiar shapes and patterns, such as the complex contours of coastlines, the outlines of clouds, and the branching of trees. In this Very Short Introduction, Kenneth Falconer looks at the roots of the 'fractal revolution' that occurred in mathematics in the 20th century, presents the 'new geometry' of fractals, explains the basic concepts, and explores the wide range of applications in science, and in aspects of economics. This is essential introductory reading for students of mathematics and science, and those interested in popular science and mathematics. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.