entropy theory and its application in environmental and water engineering

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Entropy Theory And Its Application In Environmental And Water Engineering

Author : Vijay P. Singh
ISBN : 9781118428603
Genre : Science
File Size : 24. 81 MB
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Entropy Theory and its Application in Environmental and Water Engineering responds to the need for a book that deals with basic concepts of entropy theory from a hydrologic and water engineering perspective and then for a book that deals with applications of these concepts to a range of water engineering problems. The range of applications of entropy is constantly expanding and new areas finding a use for the theory are continually emerging. The applications of concepts and techniques vary across different subject areas and this book aims to relate them directly to practical problems of environmental and water engineering. The book presents and explains the Principle of Maximum Entropy (POME) and the Principle of Minimum Cross Entropy (POMCE) and their applications to different types of probability distributions. Spatial and inverse spatial entropy are important for urban planning and are presented with clarity. Maximum entropy spectral analysis and minimum cross entropy spectral analysis are powerful techniques for addressing a variety of problems faced by environmental and water scientists and engineers and are described here with illustrative examples. Giving a thorough introduction to the use of entropy to measure the unpredictability in environmental and water systems this book will add an essential statistical method to the toolkit of postgraduates, researchers and academic hydrologists, water resource managers, environmental scientists and engineers. It will also offer a valuable resource for professionals in the same areas, governmental organizations, private companies as well as students in earth sciences, civil and agricultural engineering, and agricultural and rangeland sciences. This book: Provides a thorough introduction to entropy for beginners and more experienced users Uses numerous examples to illustrate the applications of the theoretical principles Allows the reader to apply entropy theory to the solution of practical problems Assumes minimal existing mathematical knowledge Discusses the theory and its various aspects in both univariate and bivariate cases Covers newly expanding areas including neural networks from an entropy perspective and future developments.

Introduction To Tsallis Entropy Theory In Water Engineering

Author : Vijay P. Singh
ISBN : 9781498736619
Genre : Science
File Size : 85. 94 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 Theory In Hydraulic Engineering

Author : Vijay P. Singh
ISBN : 9780784478257
Genre : Technology & Engineering
File Size : 57. 64 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 Theory In Hydrologic Science And Engineering

Author : Vijay Singh
ISBN : 0071835466
Genre : Technology & Engineering
File Size : 85. 16 MB
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A THOROUGH INTRODUCTION TO ENTROPY THEORY AND ITS APPLICATIONS IN HYDROLOGIC SCIENCE AND ENGINEERING This comprehensive volume addresses basic concepts of entropy theory from a hydrologic engineering perspective. The application of these concepts to a wide range of hydrologic engineering problems is discussed in detail. The book is divided into sections--preliminaries, rainfall and evapotranspiration, subsurface flow, surface flow, and environmental considerations. Helpful equations, solutions, tables, and diagrams are included throughout this practical resource. Entropy Theory in Hydrologic Science and Engineering covers: Introduction to entropy theory Maximum entropy production principle Performance measures Morphological analysis Evaluation and design of sampling and measurement networks Precipitation variability Rainfall frequency distributions Evaluation of precipitation forecasting schemes Assessment of potential water resources availability Evaporation Infiltration Soil moisture Groundwater flow Rainfall-runoff modeling Streamflow simulation Hydrologic frequency analysis Streamflow forecasting River flow regime classification Sediment yield Eco-index

Entropy And Energy Dissipation In Water Resources

Author : Vijay Singh
ISBN : 9789401124300
Genre : Science
File Size : 76. 29 MB
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Since the landmark contributions of C. E. Shannon in 1948, and those of E. T. Jaynes about a decade later, applications of the concept of entropy and the principle of maximum entropy have proliterated in science and engineering. Recent years have witnessed a broad range of new and exciting developments in hydrology and water resources using the entropy concept. These have encompassed innovative methods for hydrologic network design, transfer of information, flow forecasting, reliability assessment for water distribution systems, parameter estimation, derivation of probability distributions, drainage-network analysis, sediment yield modeling and pollutant loading, bridge-scour analysis, construction of velocity profiles, comparative evaluation of hydrologic models, and so on. Some of these methods hold great promise for advancement of engineering practice, permitting rational alternatives to conventional approaches. On the other hand, the concepts of energy and energy dissipation are being increasingly applied to a wide spectrum of problems in environmental and water resources. Both entropy and energy dissipation have their origin in thermodynamics, and are related concepts. Yet, many of the developments using entropy seem to be based entirely on statistical interpretation and have seemingly little physical content. For example, most of the entropy-related developments and applications in water resources have been based on the information-theoretic interpretation of entropy. We believe if the power of the entropy concept is to be fully realized, then its physical basis has to be established.

Chaos In Hydrology

Author : Bellie Sivakumar
ISBN : 9789048125524
Genre : Science
File Size : 35. 29 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.

Stochastic And Statistical Methods In Hydrology And Environmental Engineering

Author : Keith W. Hipel
ISBN : 9789401730839
Genre : Science
File Size : 20. 95 MB
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International experts from around the globe present a rich variety of intriguing developments in time series analysis in hydrology and environmental engineering. Climatic change is of great concern to everyone and significant contributions to this challenging research topic are put forward by internationally renowned authors. A range of interesting applications in hydrological forecasting are given for case studies in reservoir operation in North America, Asia and South America. Additionally, progress in entropy research is described and entropy concepts are applied to various water resource systems problems. Neural networks are employed for forecasting runoff and water demand. Moreover, graphical, nonparametric and parametric trend analyses methods are compared and applied to water quality time series. Other topics covered in this landmark volume include spatial analyses, spectral analyses and different methods for stream-flow modelling. Audience The book constitutes an invaluable resource for researchers, teachers, students and practitioners who wish to be at the forefront of time series analysis in the environmental sciences.

Entropy Measures Maximum Entropy Principle And Emerging Applications

Author : Karmeshu
ISBN : 9783540362128
Genre : Mathematics
File Size : 56. 71 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.

Entropy Based Parameter Estimation In Hydrology

Author : Vijay Singh
ISBN : 9789401714310
Genre : Science
File Size : 77. 55 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.

Risk And Reliability Analysis

Author : Vijay P. Singh
ISBN : 0784408912
Genre : Technology & Engineering
File Size : 43. 33 MB
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When it comes to the planning, design, construction, and management of engineering systems, risk and uncertainty are unavoidable. This book presents key concepts of risk and reliability that apply to an array of problems in civil and environmental engineering. It provides an overview of the art of making decisions in the presence of uncertainty.

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