Fractals and Chaos in Geology and Geophysics PDF Download
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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: 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: 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 Turcotte
Publisher: Cambridge University Press
ISBN: 1107006538
Category : Science
Languages : en
Pages : 639
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Book Description
A fully updated third edition of this classic textbook, containing two new chapters on numerical modelling supported by online MATLAB® codes.
Author: Gerald Schubert
Publisher: Cambridge University Press
ISBN: 9780521798365
Category : Science
Languages : en
Pages : 1016
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Book Description
Comprehensive and up-to-date synthesis of all aspects of mantle convection, for advanced students and researchers.
Author: Tam s Vicsek
Publisher: World Scientific
ISBN: 9789810206680
Category : Mathematics
Languages : en
Pages : 542
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Book Description
The investigation of phenomena involving fractals has gone through a spectacular development in the last decade. Many physical, technological and biological processes have been shown to be related to and described by objects with non-integer dimensions. The physics of far-from-equilibrium growth phenomena represents one of the most important fields in which fractal geometry is widely applied. During the last couple of years considerable experimental, numerical and theoretical information has accumulated concerning such processes. This book, written by a well-known expert in the field, summarizes the basic concepts born in the studies of fractal growth and also presents some of the most important new results for more specialized readers. It also contains 15 beautiful color plates demonstrating the richness of the geometry of fractal patterns. Accordingly, it may serve as a textbook on the geometrical aspects of fractal growth and it treats this area in sufficient depth to make it useful as a reference book. No specific mathematical knowledge is required for reading this book which is intended to give a balanced account of the field.
Author: Behnam Sadeghi
Publisher: Elsevier
ISBN: 0323908985
Category : Science
Languages : en
Pages : 304
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Book Description
Fractals and Multifractals in the Geosciences details the application of a wide range of multifractal methods, including many novel ones developed by the author, along with the assessment of uncertainty in sample classification and stability of spatial patterns. This book also provides criteria for selection of the most effective combination of data pre-processing and multifractal modeling to extract desired features or signals in the data. The book specifically aims to introduce, apply, and test novel multifractal models that account directly for changes in relationships between variables, as well as the effects of distance between samples and the source of anomalous metal contents in geoscience samples. Linked to this will be assessment of the effects of different pre-processing of data prior to application of the models and quantification/model uncertainty in geochemical anomaly maps, associated with sample classification and spatial interpolation. Gaussian simulations such as Sequential Gaussian Simulation and Monte Carlo Simulation will be applied to the new multifractal models developed and a suite of existing models, including (simulated) concentration-area, spectrum-area, singularity and other models. Fractals and Multifractals in the Geosciences will be invaluable for mathematical geoscientists, geostatisticians, exploration, applied, urban and environmental geochemists, computational geoscientists, data scientists, and GIS professionals who need to better understand fractal geometry, along with its theory and applications in geochemical anomaly classification to generate maps that are helpful for decision-making for follow-up sampling and explorations. - Provides a comprehensive overview of the use of fractal and multifractal modeling methods, with a detailed assessment of uncertainty quantification in samples and classified models - Specifically includes novel multifractal models, as well as uncertainty quantification and decision-making methods for use in geosciences and especially geochemistry - Includes case studies showing the application of the fractal and multifractal methods detailed in the book
Author: Kurt Stüwe
Publisher: Springer Science & Business Media
ISBN: 3540712372
Category : Science
Languages : en
Pages : 497
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Book Description
This second edition of the important introductory text for earth scientists has been thoroughly revised and extended. It is required reading for all those interested in learning about the quantitative description of geological problems. It contains chapters on heat flow, sedimentary basin modeling, the mechanics of continental deformation, PT path modeling, geomorphology, mass transfer and more. The book is aimed at the field oriented geologist who wants to begin by learning about the quantitative description of problems. The new edition features yet more illustrations and maps as well as almost 100 corrections of scientific problems.
Author: Stefan Hergarten
Publisher: Springer Science & Business Media
ISBN: 9783540434528
Category : Mathematics
Languages : en
Pages : 288
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Book Description
Self-organized criticality (SOC) has become a magic word in various scientific disciplines; it provides a framework for understanding complexity and scale invariance in systems showing irregular fluctuations. In the first 10 years after Per Bak and his co-workers presented their seminal idea, more than 2000 papers on this topic appeared. Seismology has been a field in earth sciences where the SOC concept has already deepened the understanding, but there seem to be much more examples in earth sciences where applying the SOC concept may be fruitful. After introducing the reader into the basics of fractals, chaos and SOC, the book presents established and new applications of SOC in earth sciences, namely earthquakes, forest fires, landslides and drainage networks.
Author: Paul Meakin
Publisher: Cambridge University Press
ISBN: 9780521452533
Category : Mathematics
Languages : en
Pages : 700
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Book Description
A comprehensive, 1998 account of the practical aspects and pitfalls of the applications of fractal modelling in the physical sciences.
