Download or read book Non Linear Variability in Geophysics written by D. Schertzer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: consequences of broken symmetry -here parity-is studied. In this model, turbulence is dominated by a hierarchy of helical (corkscrew) structures. The authors stress the unique features of such pseudo-scalar cascades as well as the extreme nature of the resulting (intermittent) fluctuations. Intermittent turbulent cascades was also the theme of a paper by us in which we show that universality classes exist for continuous cascades (in which an infinite number of cascade steps occur over a finite range of scales). This result is the multiplicative analogue of the familiar central limit theorem for the addition of random variables. Finally, an interesting paper by Pasmanter investigates the scaling associated with anomolous diffusion in a chaotic tidal basin model involving a small number of degrees of freedom. Although the statistical literature is replete with techniques for dealing with those random processes characterized by both exponentially decaying (non-scaling) autocorrelations and exponentially decaying probability distributions, there is a real paucity of literature appropriate for geophysical fields exhibiting either scaling over wide ranges (e. g. algebraic autocorrelations) or extreme fluctuations (e. g. algebraic probabilities, divergence of high order statistical moments). In fact, about the only relevant technique that is regularly used -fourier analysis (energy spectra) -permits only an estimate of a single (power law) exponent. If the fields were mono-fractal (characterized by a single fractal dimension) this would be sufficient, however their generally multifractal character calls for the development of new techniques.
Download or read book Space and Time Scale Variability and Interdependencies in Hydrological Processes written by R. A. Feddes and published by Cambridge University Press. This book was released on 1995-08-24 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the integrated contributions of hydrologists, meteorologists and ecologists to the first IHP/IAHS George Kovacs Colloquium in connection with the study of global hydrology and climate change. The atmospherical, hydrological and terrestrial components of the Earth's systems operate on different time and space scales. Resolving these scaling incongruities, as well as understanding and modelling the complex interaction of land surface processes at the different scales, represent a major challenge for hydrologists, ecologists and meteorological scientists alike. This book deals with time and space scale variations with reference to several topics including: soil water balance; ecosystems and interaction of flow systems; and macroscale hydrological modelling. This book will be of great use to researchers, engineers and forecasters with an interest in space and time scale variability.
Download or read book Advances in Nonlinear Geosciences written by Anastasios A. Tsonis and published by Springer. This book was released on 2017-10-13 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Nonlinear Geosciences is a set of contributions from the participants of “30 Years of Nonlinear Dynamics” held July 3-8, 2016 in Rhodes, Greece as part of the Aegean Conferences, as well as from several other experts in the field who could not attend the meeting. The volume brings together up-to-date research from the atmospheric sciences, hydrology, geology, and other areas of geosciences and presents the new advances made in the last 10 years. Topics include chaos synchronization, topological data analysis, new insights on fractals, multifractals and stochasticity, climate dynamics, extreme events, complexity, and causality, among other topics.
Download or read book The Weather and Climate written by Shaun Lovejoy and published by Cambridge University Press. This book was released on 2013-04-04 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new method of modeling the atmosphere, synthesizing data analysis techniques and multifractal statistics, for atmospheric researchers and graduate students.
Download or read book Introduction to Aquifer Analysis written by Michael Kasenow and published by Water Resources Publication. This book was released on 1997 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonlinear Processes in Geophysics written by and published by . This book was released on 2009 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stochastic Models in Geosystems written by Stanislav A. Molchanov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications STOCHASTIC MODELS IN GEOSYSTEMS is based on the proceedings of a workshop with the same title and was an integral part of the 1993-94 IMA program on "Emerging Applications of Probability." We would like to thank Stanislav A. Molchanov and Wojbor A. Woyczynski for their hard work in organizing this meeting and in edit ing the proceedings. We also take this opportunity to thank the National Science Foundation, the Office of N aval Research, the Army Research Of fice, and the National Security Agency, whose financial support made this workshop possible. A vner Friedman Willard Miller, Jr. v PREFACE A workshop on Stochastic Models in Geosystems was held during the week of May 16, 1994 at the Institute for Mathematics and Its Applica tions at the University of Minnesota. It was part of the Special Year on Emerging Applications of Prob ability program put together by an organiz ing committee chaired by J. Michael Steele. The invited speakers represented a broad interdisciplinary spectrum including mathematics, statistics, physics, geophysics, astrophysics, atmo spheric physics, fluid mechanics, seismology, and oceanography. The com mon underlying theme was stochastic modeling of geophysical phenomena and papers appearing in this volume reflect a number of research directions that are currently pursued in these areas.
Download or read book Geomathematics Theoretical Foundations Applications and Future Developments written by Frits Agterberg and published by Springer. This book was released on 2014-07-14 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a wealth of geomathematical case history studies performed by the author during his career at the Ministry of Natural Resources Canada, Geological Survey of Canada (NRCan-GSC). Several of the techniques newly developed by the author and colleagues that are described in this book have become widely adopted, not only for further research by geomathematical colleagues, but by government organizations and industry worldwide. These include Weights-of-Evidence modelling, mineral resource estimation technology, trend surface analysis, automatic stratigraphic correlation and nonlinear geochemical exploration methods. The author has developed maximum likelihood methodology and spline-fitting techniques for the construction of the international numerical geologic timescale. He has introduced the application of new theory of fractals and multi fractals in the geostatistical evaluation of regional mineral resources and ore reserves and to study the spatial distribution of metals in rocks. The book also contains sections deemed important by the author but that have not been widely adopted because they require further research. These include the geometry of preferred orientations of contours and edge effects on maps, time series analysis of Quaternary retreating ice sheet related sedimentary data, estimation of first and last appearances of fossil taxa from frequency distributions of their observed first and last occurrences, tectonic reactivation along pre-existing schistosity planes in fold belts, use of the grouped jackknife method for bias reduction in geometrical extrapolations and new applications of the theory of permanent, volume-independent frequency distributions.
Download or read book Scale in Remote Sensing and GIS written by Dale A. Quattrochi and published by CRC Press. This book was released on 2023-01-13 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: The recent emergence and widespread use of remote sensing and geographic information systems (GIS) has prompted new interest in scale as a key component of these and other geographic information technologies. With a balanced mixture of concepts, practical examples, techniques, and theory, Scale in Remote Sensing and GIS is a guide for students and users of remote sensing and GIS who must deal with the issues raised by multiple temporal and spatial scales. Sixteen pages of full-color photographs help demonstrate key points made in the text.
Download or read book Multifractal Analysis in Hydrology written by Pietro Bernardara and published by Editions Quae. This book was released on 2007-12-13 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a simplified description of the procedures to be used to perform an analysis of hydrological data within a multifractal framework. After a review of multifractal theory and the presentation of one model for identifying scale invariance properties, examples of applications to rainfall and discharge time series are given. It will be of interest to teachers and researchers in this field, both nationally and abroad.
Download or read book Progress in Geomathematics written by Graeme Bonham-Carter and published by Springer Science & Business Media. This book was released on 2008-09-20 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: Celebrating Frits Agterberg’s half-century of publication activity in geomathematics, this volume’s 28 timely papers, written by his friends and colleagues, treat a variety of subjects of current interest, many of them also studied by Frits, including: spatial analysis in mineral resource assessment, quantitative stratigraphy, nonlinear multifractal models, compositional data analysis, time series analysis, image analysis, and geostatistics. Professor Agterberg published his first paper as a graduate student in 1958 and has since produced (and continues to publish) a steady stream of research papers on a wide variety of subjects of interest to geomathematical practitioners. Most of the papers included here address methodology and feature practical case studies, so that the book likely has broad appeal to those interested in mathematical geosciences, both to academic researchers seeking a comprehensive overview and also to practitioners of geomathematical approaches in industry.
Download or read book Weather Macroweather and the Climate written by Shaun Lovejoy and published by Oxford University Press. This book was released on 2019-03-19 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: Weather, Macroweather, and the Climate is an insider's attempt to explain as simply as possible how to understand the atmospheric variability that occurs over an astonishing range of scales: from millimeters to the size of the planet, from milliseconds to billions of years. The variability is so large that standard ways of dealing with it are utterly inadequate: in 2015, it was found that classical approaches had underestimated the variability by the astronomical factor of a quadrillion (a million billion). Author Shaun Lovejoy asks - and answers - many fundamental questions such as: Is the atmosphere random or deterministic? What is turbulence? How big is a cloud (what is the appropriate notion of size itself)? What is its dimension? How can we conceptualize the structures within structures within structures spanning millimeters to thousands of kilometers and milliseconds to the age of the planet? What is weather? What is climate? Lovejoy shows in simple terms why the industrial epoch warming can't be natural - much simpler than trying to show that it's anthropogenic. We will discuss in simple terms how to make the best seasonal and annual forecasts - without giant numerical models. Above all, the book offers readers a new understanding of the atmosphere.
Download or read book Advances in Passive Microwave Remote Sensing of Oceans written by Victor Raizer and published by CRC Press. This book was released on 2017-03-27 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book demonstrates the capabilities of passive microwave technique for enhanced observations of ocean features, including the detection of (sub)surface events and/or disturbances while laying out the benefits and boundaries of these methods. It represents not only an introduction and complete description of the main principles of ocean microwave radiometry and imagery, but also provides guidance for further experimental studies. Furthermore, it expands the analysis of remote sensing methods, models, and techniques and focuses on a high-resolution multiband imaging observation concept. Such an advanced approach provides readers with a new level of geophysical information and data acquisition granting the opportunity to improve their expertise on advanced microwave technology, now an indispensable tool for diagnostics of ocean phenomena and disturbances.
Download or read book Fractals Physical Origin and Properties written by Luciano Pietronero and published by Springer Science & Business Media. This book was released on 1990-06-01 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the Proceedings of the Special Seminar on: FRAGTALS held from October 9-15, 1988 at the Ettore Majorana Centre for Scientific Culture, Erice (Trapani), Italy. The concepts of self-similarity and scale invariance have arisen independently in several areas. One is the study of critical properites of phase transitions; another is fractal geometry, which involves the concept of (non-integer) fractal dimension. These two areas have now come together, and their methods have extended to various fields of physics. The purpose of this Seminar was to provide an overview of the recent developments in the field. Most of the contributions are theoretical, but some experimental work is also included. Du:cing the past few years two tendencies have emerged in this field: one is to realize that many phenomena can be naturally modelled by fractal structures. So one can use this concept to define simple modele and study their physical properties. The second point of view is more microscopic and tries to answer the question: why nature gives rise to fractal structures. This implies the formulation of fractal growth modele based on physical concepts and their theoretical understanding in the same sense as the Renormalization Group method has allowed to understand the critical properties of phase transitions.
Download or read book Sea Surface Sound 94 Proceedings Of The Iii International Meeting On Natural Physical Processes Related To Sea Surface Sound written by Michael J Buckingham and published by World Scientific. This book was released on 1996-01-11 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding and constructively using natural sound in the ocean has become of prime importance with the shift of emphasis to protecting the environment and exercising responsible global resource management which has followed the end of the Cold War. Especially now that we realise that marine mammals and other inhabitants of the oceans are threatened by our acoustic pollution of their environment, the use of natural sound as a non-intrusive remote sensing probe has become particularly germane. This was the first meeting on the subject since the fall of Soviet-Western barriers, and the proceedings include significant work from premier researchers in the former Soviet Union. It was also the first meeting which specifically addressed the new and exciting idea of using natural sound in applications for monitoring the marine environment. The proceedings include a number of papers on various aspects of this topic. Further new work on the basic physics of sound production and propagation is also included. This volume includes leading-edge work from the foremost researchers in the field, including Bill Carey, Lawrence Crum, Nikolai Dubrovskii, David Farmer, Brian Kerman, Bill Kuperman, Michael Longuet-Higgins, Hank Medwin, Ken Melville, A Prosperetti and many others.
Download or read book Fractal Analysis for Natural Hazards written by Giuseppe Cello and published by Geological Society of London. This book was released on 2006 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the Earth Sciences, the concept of fractals and scale invariance is well-recognized in many natural objects. However, the use of fractals for spatial and temporal analyses of natural hazards has been less used (and accepted) in the Earth Sciences. This book brings together twelve contributions that emphasize the role of fractal analyses in natural hazard research, including landslides, wildfires, floods, catastrophic rock fractures and earthquakes. A wide variety of spatial and temporal fractal-related approaches and techniques are applied to 'natural' data, experimental data, and computer simulations. These approaches include probabilistic hazard analysis, cellular-automata models, spatial analyses, temporal variability, prediction, and self-organizing behaviour. The main aims of this volume are to present current research on fractal analyses as applied to natural hazards, and to stimulate the curiosity of advanced Earth Science students and researchers in the use of fractals analyses for the better understanding of natural hazards.
Download or read book Dictionary of Mathematical Geosciences written by Richard J. Howarth and published by Springer. This book was released on 2017-05-27 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dictionary includes a number of mathematical, statistical and computing terms and their definitions to assist geoscientists and provide guidance on the methods and terminology encountered in the literature. Each technical term used in the explanations can be found in the dictionary which also includes explanations of basics, such as trigonometric functions and logarithms. There are also citations from the relevant literature to show the term’s first use in mathematics, statistics, etc. and its subsequent usage in geosciences.
