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Entropy Theory And Its Application In Environmental And Water Engineering

Author: Vijay P. Singh
Publisher: John Wiley & Sons
ISBN: 1118428609
Size: 43.79 MB
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Entropy Theory and its Application in Environmental and WaterEngineering responds to the need for a book that deals withbasic concepts of entropy theory from a hydrologic and waterengineering perspective and then for a book that deals withapplications of these concepts to a range of water engineeringproblems. The range of applications of entropy is constantlyexpanding and new areas finding a use for the theory arecontinually emerging. The applications of concepts and techniquesvary across different subject areas and this book aims to relatethem directly to practical problems of environmental and waterengineering. The book presents and explains the Principle of Maximum Entropy(POME) and the Principle of Minimum Cross Entropy (POMCE) and theirapplications to different types of probability distributions.Spatial and inverse spatial entropy are important for urbanplanning and are presented with clarity. Maximum entropy spectralanalysis and minimum cross entropy spectral analysis are powerfultechniques for addressing a variety of problems faced byenvironmental and water scientists and engineers and are describedhere with illustrative examples. Giving a thorough introduction to the use of entropy to measurethe unpredictability in environmental and water systems this bookwill add an essential statistical method to the toolkit ofpostgraduates, researchers and academic hydrologists, waterresource managers, environmental scientists and engineers. Itwill also offer a valuable resource for professionals in the sameareas, governmental organizations, private companies as well asstudents in earth sciences, civil and agricultural engineering, andagricultural and rangeland sciences. This book: Provides a thorough introduction to entropy for beginners andmore experienced users Uses numerous examples to illustrate the applications of thetheoretical principles Allows the reader to apply entropy theory to the solution ofpractical problems Assumes minimal existing mathematical knowledge Discusses the theory and its various aspects in both univariateand bivariate cases Covers newly expanding areas including neural networks from anentropy perspective and future developments.

Entropy Applications In Environmental And Water Engineering

Author: Huijuan Cui
Publisher: MDPI
ISBN: 3038972223
Size: 55.43 MB
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Entropy theory has wide applications to a range of problems in the fields of environmental and water engineering, including river hydraulic geometry, fluvial hydraulics, water monitoring network design, river flow forecasting, floods and droughts, river network analysis, infiltration, soil moisture, sediment transport, surface water and groundwater quality modeling, ecosystems modeling, water distribution networks, environmental and water resources management, and parameter estimation. Such applications have used several different entropy formulations, such as Shannon, Tsallis, Rényi, Burg, Kolmogorov, Kapur, configurational, and relative entropies, which can be derived in time, space, or frequency domains. More recently, entropy-based concepts have been coupled with other theories, including copula and wavelets, to study various issues associated with environmental and water resources systems. Recent studies indicate the enormous scope and potential of entropy theory in advancing research in the fields of environmental and water engineering, including establishing and explaining physical connections between theory and reality. The objective of this Special Issue is to provide a platform for compiling important recent and current research on the applications of entropy theory in environmental and water engineering. The contributions to this Special Issue have addressed many aspects associated with entropy theory applications and have shown the enormous scope and potential of entropy theory in advancing research in the fields of environmental and water engineering.

Chaos In Hydrology

Author: Bellie Sivakumar
Publisher: Springer
ISBN: 9048125529
Size: 12.88 MB
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This authoritative book presents a comprehensive account of the essential roles of nonlinear dynamic and chaos theories in understanding, modeling, and forecasting hydrologic systems. This is done through a systematic presentation of: (1) information on the salient characteristics of hydrologic systems and on the existing theories for their modeling; (2) the fundamentals of nonlinear dynamic and chaos theories, methods for chaos identification and prediction, and associated issues; (3) a review of the applications of chaos theory in hydrology; and (4) the scope and potential directions for the future. This book bridges the divide between the deterministic and the stochastic schools in hydrology, and is well suited as a textbook for hydrology courses.

Introduction To Tsallis Entropy Theory In Water Engineering

Author: Vijay P. Singh
Publisher: CRC Press
ISBN: 1498736610
Size: 47.77 MB
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Focuses On an Emerging Field in Water Engineering A broad treatment of the Tsallis entropy theory presented from a water resources engineering point of view, Introduction to Tsallis Entropy Theory in Water Engineering fills a growing need for material on this theory and its relevant applications in the area of water engineering. This self-contained text includes several solved examples, and requires only a basic knowledge of mathematics and probability theory. Divided into four parts, the book begins with a detailed discussion of Tsallis entropy, moves on to hydraulics, expounds on the subject of hydrology, and ends with broad coverage on a wide variety of areas in water engineering. The author addresses: The Tsallis entropy theory for both discrete and continuous variables The procedure for deriving probability distributions One-dimensional velocity distributions Two-dimensional velocity distributions Methods for determining sediment concentration Sediment discharge Stage–discharge rating curve Precipitation variability Infiltration and the derivation of infiltration equations An introduction to soil moisture, soil moisture profiles, and their estimation Flow duration curves The eco-index and indicators of hydrologic alteration (IHA) Measures of redundancy for water distribution networks, and more Introduction to Tsallis Entropy Theory in Water Engineering examines the basic concepts of the Tsallis entropy theory, and considers its current applications and potential for future use. This book advances further research on water engineering, hydrologic sciences, environmental sciences, and water resources engineering as they relate to the Tsallis entropy theory.

Entropy Measures Maximum Entropy Principle And Emerging Applications

Author: Karmeshu
Publisher: Springer
ISBN: 3540362126
Size: 38.40 MB
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The last two decades have witnessed an enormous growth with regard to ap plications of information theoretic framework in areas of physical, biological, engineering and even social sciences. In particular, growth has been spectac ular in the field of information technology,soft computing,nonlinear systems and molecular biology. Claude Shannon in 1948 laid the foundation of the field of information theory in the context of communication theory. It is in deed remarkable that his framework is as relevant today as was when he 1 proposed it. Shannon died on Feb 24, 2001. Arun Netravali observes "As if assuming that inexpensive, high-speed processing would come to pass, Shan non figured out the upper limits on communication rates. First in telephone channels, then in optical communications, and now in wireless, Shannon has had the utmost value in defining the engineering limits we face". Shannon introduced the concept of entropy. The notable feature of the entropy frame work is that it enables quantification of uncertainty present in a system. In many realistic situations one is confronted only with partial or incomplete information in the form of moment, or bounds on these values etc. ; and it is then required to construct a probabilistic model from this partial information. In such situations, the principle of maximum entropy provides a rational ba sis for constructing a probabilistic model. It is thus necessary and important to keep track of advances in the applications of maximum entropy principle to ever expanding areas of knowledge.

Handbook Of Applied Hydrology Second Edition

Author: Vijay P. Singh
Publisher: McGraw Hill Professional
ISBN: 0071835105
Size: 74.67 MB
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Fully Updated Hydrology Principles, Methods, and Applications Thoroughly revised for the first time in 50 years, this industry-standard resource features chapter contributions from a “who’s who” of international hydrology experts. Compiled by a colleague of the late Dr. Chow, Chow’s Handbook of Applied Hydrology, Second Edition, covers scientific and engineering fundamentals and presents all-new methods, processes, and technologies. Complete details are provided for the full range of ecosystems and models. Advanced chapters look to the future of hydrology, including climate change impacts, extraterrestrial water, social hydrology, and water security. Chow’s Handbook of Applied Hydrology, Second Edition, covers: · The Fundamentals of Hydrology · Data Collection and Processing · Hydrology Methods · Hydrologic Processes and Modeling · Sediment and Pollutant Transport · Hydrometeorologic and Hydrologic Extremes · Systems Hydrology · Hydrology of Large River and Lake Basins · Applications and Design · The Future of Hydrology

Entropy Based Parameter Estimation In Hydrology

Author: V.P. Singh
Publisher: Springer Science & Business Media
ISBN: 9401714312
Size: 17.80 MB
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Since the pioneering work of Shannon in the late 1940's on the development of the theory of entropy and the landmark contributions of Jaynes a decade later leading to the development of the principle of maximum entropy (POME), the concept of entropy has been increasingly applied in a wide spectrum of areas, including chemistry, electronics and communications engineering, data acquisition and storage and retreival, data monitoring network design, ecology, economics, environmental engineering, earth sciences, fluid mechanics, genetics, geology, geomorphology, geophysics, geotechnical engineering, hydraulics, hydrology, image processing, management sciences, operations research, pattern recognition and identification, photogrammetry, psychology, physics and quantum mechanics, reliability analysis, reservoir engineering, statistical mechanics, thermodynamics, topology, transportation engineering, turbulence modeling, and so on. New areas finding application of entropy have since continued to unfold. The entropy concept is indeed versatile and its applicability widespread. In the area of hydrology and water resources, a range of applications of entropy have been reported during the past three decades or so. This book focuses on parameter estimation using entropy for a number of distributions frequently used in hydrology. In the entropy-based parameter estimation the distribution parameters are expressed in terms of the given information, called constraints. Thus, the method lends itself to a physical interpretation of the parameters. Because the information to be specified usually constitutes sufficient statistics for the distribution under consideration, the entropy method provides a quantitative way to express the information contained in the distribution.

Advances In Water Resources Engineering

Author: Chih Ted Yang
Publisher: Springer
ISBN: 3319110233
Size: 71.47 MB
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This book, Advances in Water Resources Engineering, Volume 14, covers the topics on watershed sediment dynamics and modeling, integrated simulation of interactive surface water and groundwater systems, river channel stabilization with submerged vanes, non-equilibrium sediment transport, reservoir sedimentation, and fluvial processes, minimum energy dissipation rate theory and applications, hydraulic modeling development and application, geophysical methods for assessment of earthen dams, soil erosion on upland areas by rainfall and overland flow, geofluvial modeling methodologies and applications, and environmental water engineering glossary.

Entropy Theory In Hydraulic Engineering

Author: Vijay P. Singh
Publisher: ASCE Publications
ISBN: 0784478252
Size: 48.31 MB
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Entropy Theory in Hydraulic Engineering: An Introduction is the first book to explain the basic concepts of entropy theory from a hydraulic perspective and demonstrate the theory?s application in solving practical engineering problems. In the hydraulic context, entropy is valuable as a way of measuring uncertainty or surprise?or even disorder or chaos?as a type of information. As hydraulic systems become more complex, entropy theory enables hydraulic engineers to quantify uncertainty, determine risk and reliability, estimate parameters, model processes, and design more robust and dependable water hydraulic systems. Drawing on many years of experience applying and teaching hydraulics, Vijay Singh provides a clear introduction to the fundamentals of entropy theory as it has evolved over the past 40 years. He explores its application in five areas important to hydraulic engineers: velocity distributions, sediment concentration and discharge, hydraulic geometry, channel design, and water distribution systems. More than 170 solved examples illustrate these applications, and each chapter concludes with problem sets and plentiful references. By illustrating the power, usefulness, and versatility of entropy theory, this book puts a valuable tool in the hands of practitioners. Graduate students, advanced undergraduates, and their professors will benefit from the lucid explanation of a complex theory and its applications.

Entropy Water And Resources

Author: Horst Niemes
Publisher: Springer Science & Business Media
ISBN: 9783790824162
Size: 52.31 MB
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This book lies at the intersection of natural sciences, economics, and water en- neering and is in line with the long tradition of environmental economics at the University of Heidelberg. In the 1970s, the Neo-Austrian Capital Theory was developed using the fundamental laws of thermodynamics as a common language between the natural and social sciences. Niemes (1981) integrated the dynamic and irreversibility characteristics of the natural environment into the Neo-Austrian c- ital theory. Faber et al. (1983, 1987, 1995) then extended this interdisciplinary approach further to create a comprehensive, dynamic, environmental resource model. Over the last 3 decades, the theoretical foundations of environmental economics have been modi ed and there have been an impressive variety of applications. This book aims to reduce the gaps between economic theory, natural sciences, and engineering practice. One of the reasons these gaps exist is because economic assumptions are used to construct dynamic environmental and resource models, which are not consistent with the fundamental laws of the natural sciences. Another reason for the gap might be the distance between academic theory and real world situations. Based on an extended thermodynamic approach, the authors explain which economic assumptions are acceptable for constructing a dynamic model that is consistent with the natural sciences. In particular, the special role of water in the production and reproduction activities will be considered as an integral component.