Fractal Solutions for Understanding Complex Systems in Earth Sciences
This book deals with fractals in understanding problems encountered in earth science, and their solutions. It starts with an analysis of two classes of methods (homogeneous fractals random models, and homogeneous source distributions or “one point” distri
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V.P. Dimri Editor
Fractal Solutions for Understanding Complex Systems in Earth Sciences
Springer Earth System Sciences Series editors Philippe Blondel, Bath, UK Eric Guilyardi, Paris, France Jorge Rabassa, Ushuaia, Argentina Clive Horwood, Chichester, UK
More information about this series at http://www.springer.com/series/10178
V.P. Dimri Editor
Fractal Solutions for Understanding Complex Systems in Earth Sciences
123
Editor V.P. Dimri CSIR-National Geophysical Research Institute Hyderabad India
ISSN 2197-9596 Springer Earth System Sciences ISBN 978-3-319-24673-4 DOI 10.1007/978-3-319-24675-8
ISSN 2197-960X (electronic) ISBN 978-3-319-24675-8
(eBook)
Library of Congress Control Number: 2015950883 Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2016 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper Springer International Publishing AG Switzerland is part of Springer Science+Business Media (www.springer.com)
Dedicated to the Victims of June, 2013, Kedarnath (Uttarakhand) Tragedy
Foreword
It is with pleasure that I write the foreword to this excellent book entitled “Fractal Solutions for Understanding Complex Systems in Earth Sciences” edited by Professor V.P. Dimri. The book deals with a role of fractals and multi-fractals in understanding problems of earth sciences and their solutions. The chapters on potential fields suggest that mono-fractals or homogeneous functions are scaling function, whereas multi-fractals and multi-homogeneous models have to be dealt separately by specific techniques. Some of the chapters deal with Detrended Fluctuation Analysis (DFA) for better understanding the intrinsic self-similarities for non-stationary well-log geophysical data. The Fractal Differential Adjacency Segregation (F-DAS) is found better than the conventional box counting technique to estimate fractal dimension. Amongst different types of earthquakes analysed, the multi-fractal properties are m
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