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Author: Pietro Bernardara Publisher: Editions Quae ISBN: 2759200620 Category : Science Languages : en Pages : 60
Book Description
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.
Author: Pietro Bernardara Publisher: Editions Quae ISBN: 2759200620 Category : Science Languages : en Pages : 60
Book Description
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.
Author: Adarsh S Publisher: CRC Press ISBN: 1000346625 Category : Mathematics Languages : en Pages : 225
Book Description
Accurate prediction of hydrological variables is essential for efficient water resources planning and management. Proper understanding of the characteristics of the time series may help in improving the simulation and forecasting accuracy of hydrological variables. This book presents a detailed description and application of multiscale time-frequency characterization tool for the spectral analysis of hydrological time series. It presents spectral analysis methods for hydrological applications through a wide variety of illustrative case studies including Wavelet transforms, Hilbert Huang Transform and their extensions.
Author: Behzad Ghanbarian Publisher: CRC Press ISBN: 1498748724 Category : Mathematics Languages : en Pages : 364
Book Description
This book provides theoretical concepts and applications of fractals and multifractals to a broad range of audiences from various scientific communities, such as petroleum, chemical, civil and environmental engineering, atmospheric research, and hydrology. In the first chapter, we introduce fractals and multifractals from physics and math viewpoints. We then discuss theory and practical applications in detail. In what follows, in chapter 2, fragmentation process is modeled using fractals. Fragmentation is the breaking of aggregates into smaller pieces or fragments, a typical phenomenon in nature. In chapter 3, the advantages and disadvantages of two- and three-phase fractal models are discussed in detail. These two kinds of approach have been widely applied in the literature to model different characteristics of natural phenomena. In chapter 4, two- and three-phase fractal techniques are used to develop capillary pressure curve models, which characterize pore-size distribution of porous media. Percolation theory provides a theoretical framework to model flow and transport in disordered networks and systems. Therefore, following chapter 4, in chapter 5 the fractal basis of percolation theory and its applications in surface and subsurface hydrology are discussed. In chapter 6, fracture networks are shown to be modeled using fractal approaches. Chapter 7 provides different applications of fractals and multifractals to petrophysics and relevant area in petroleum engineering. In chapter 8, we introduce the practical advantages of fractals and multifractals in geostatistics at large scales, which have broad applications in stochastic hydrology and hydrogeology. Multifractals have been also widely applied to model atmospheric characteristics, such as precipitation, temperature, and cloud shape. In chapter 9, these kinds of properties are addressed using multifractals. At watershed scales, river networks have been shown to follow fractal behavior. Therefore, the applications of fractals are addressed in chapter 10. Time series analysis has been under investigations for several decades in physics, hydrology, atmospheric research, civil engineering, and water resources. In chapter 11, we therefore, provide fractal, multifractal, multifractal detrended fluctuation analyses, which can be used to study temporal characterization of a phenomenon, such as flow discharge at a specific location of a river. Chapter 12 addresses signals and again time series using a novel fractal Fourier analysis. In chapter 13, we discuss constructal theory, which has a perspective opposite to fractal theories, and is based on optimizationof diffusive exchange. In the case of river drainages, for example, the constructal approach begins at the divide and generates headwater streams first, rather than starting from the fundamental drainage pattern.
Author: Zbigniew Kundzewicz Publisher: Cambridge University Press ISBN: 0521461189 Category : Computers Languages : en Pages : 340
Book Description
One of the greatest problems hydrology research faces is how to quantify uncertainty, which is inherent in every hydrological process. This overview of uncertainty emphasizes non-orthodox concepts, such as random fields, fractals and fuzziness. This book reviews alternative and conventional methods of risk and uncertainty representation in hydrology and water resources. The water-related applications discussed in the book pertain to areas of strong interest, such as multifractals and climate change impacts. The authors represent a variety of research backgrounds, achieving a broad subject coverage. The material covered provides an important insight into theories of uncertainty related to the field of hydrology. The book is international in its scope, and will be welcomed by researchers and graduate students of hydrology and water resources.
Author: Adarsh S Publisher: CRC Press ISBN: 1000346641 Category : Mathematics Languages : en Pages : 182
Book Description
Accurate prediction of hydrological variables is essential for efficient water resources planning and management. Proper understanding of the characteristics of the time series may help in improving the simulation and forecasting accuracy of hydrological variables. This book presents a detailed description and application of multiscale time-frequency characterization tool for the spectral analysis of hydrological time series. It presents spectral analysis methods for hydrological applications through a wide variety of illustrative case studies including Wavelet transforms, Hilbert Huang Transform and their extensions.
Author: Shaun Lovejoy Publisher: Cambridge University Press ISBN: 1107018986 Category : Nature Languages : en Pages : 509
Book Description
A new method of modeling the atmosphere, synthesizing data analysis techniques and multifractal statistics, for atmospheric researchers and graduate students.
Author: Pietro Bernardara
Author: Pietro Bernardara
Author: Adarsh S
Author: Behzad Ghanbarian
Author: 
Author: Zbigniew Kundzewicz
Author: Michael Kasenow
Author: Adarsh S
Author: Eric Servat
Author: Shaun Lovejoy
Author: J. C. Rodda