Parameter Identification and Inverse Problems in Hydrology, Geology and Ecology

Parameter Identification and Inverse Problems in Hydrology, Geology and Ecology PDF Author: Johannes Gottlieb
Publisher: Springer Science & Business Media
ISBN: 940091704X
Category : Science
Languages : en
Pages : 307

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Book Description
The Workshop on Parameter Identification and Inverse Problems in Hydrology, Geology and Ecology, Karlsruhe, April 10-12, 1995, was organized to bring to gether an interdisciplinary group drawn from the areas of science, engineering and mathematics for the following purposes: - to promote, encourage and influence more understanding and cooperation in the community of parameter identifiers from various disciplines, - to forge unity in diversity by bringing together a variety of disciplines that attempt to understand the reconstruction of inner model parameters, un known nonlinear constitutive relations, heterogeneous structures inside of geological objects, sources or sinks from observational data, - to discuss modern regularization tools for handling improperly posed pro blems and strategies of incorporating a priori knowledge from the applied problem into the model and its treatment. These proceedings contain some of the results of the workshop, representing a bal anced selection of contributions from the various groups of participants. The reviewed invited and contributed articles are grouped according to the broad headings of hydrology, non-linear diffusion and soil physics, geophysical methods, mathematical analysis of inverse and ill-posed problems and parallel algorithms for inverse problems. Some of the issues adressed by the articles in these proceedings include the rela tion between least squares and direct formulations of inverse problems for partial differential equations, nonlinear regularization, identification of nonlinear consti tutive relations, fast parallel algorithms for large scale inverse problems, reduction of model structures, geostatistical inversion techniques.

Parameter Identification and Inverse Problems in Hydrology, Geology and Ecology

Parameter Identification and Inverse Problems in Hydrology, Geology and Ecology PDF Author: Johannes Gottlieb
Publisher: Springer Science & Business Media
ISBN: 940091704X
Category : Science
Languages : en
Pages : 307

Get Book

Book Description
The Workshop on Parameter Identification and Inverse Problems in Hydrology, Geology and Ecology, Karlsruhe, April 10-12, 1995, was organized to bring to gether an interdisciplinary group drawn from the areas of science, engineering and mathematics for the following purposes: - to promote, encourage and influence more understanding and cooperation in the community of parameter identifiers from various disciplines, - to forge unity in diversity by bringing together a variety of disciplines that attempt to understand the reconstruction of inner model parameters, un known nonlinear constitutive relations, heterogeneous structures inside of geological objects, sources or sinks from observational data, - to discuss modern regularization tools for handling improperly posed pro blems and strategies of incorporating a priori knowledge from the applied problem into the model and its treatment. These proceedings contain some of the results of the workshop, representing a bal anced selection of contributions from the various groups of participants. The reviewed invited and contributed articles are grouped according to the broad headings of hydrology, non-linear diffusion and soil physics, geophysical methods, mathematical analysis of inverse and ill-posed problems and parallel algorithms for inverse problems. Some of the issues adressed by the articles in these proceedings include the rela tion between least squares and direct formulations of inverse problems for partial differential equations, nonlinear regularization, identification of nonlinear consti tutive relations, fast parallel algorithms for large scale inverse problems, reduction of model structures, geostatistical inversion techniques.

Inverse Problems in Groundwater Modeling

Inverse Problems in Groundwater Modeling PDF Author: Ne-Zheng Sun
Publisher: Springer Science & Business Media
ISBN: 9401719705
Category : Science
Languages : en
Pages : 346

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Book Description
... A diskette with the updated programme of Appendix C and examples is available through the author at a small fee. email: [email protected] fax: 1--310--825--5435 ... This book systematically discusses basic concepts, theory, solution methods and applications of inverse problems in groundwater modeling. It is the first book devoted to this subject. The inverse problem is defined and solved in both deterministic and statistic frameworks. Various direct and indirect methods are discussed and compared. As a useful tool, the adjoint state method and its applications are given in detail. For a stochastic field, the maximum likelihood estimation and co-kriging techniques are used to estimate unknown parameters. The ill-posed problem of inverse solution is highlighted through the whole book. The importance of data collection strategy is specially emphasized. Besides the classical design criteria, the relationships between decision making, prediction, parameter identification and experimental design are considered from the point of view of extended identifiabilities. The problem of model structure identification is also considered. This book can be used as a textbook for graduate students majoring in hydrogeology or related subjects. It is also a reference book for hydrogeologists, petroleum engineers, environmental engineers, mining engineers and applied mathematicians.

Environmental Fluid Mechanics

Environmental Fluid Mechanics PDF Author: Hayley H. Shen
Publisher: ASCE Publications
ISBN: 9780784475218
Category : Science
Languages : en
Pages : 484

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Book Description
Sponsored by the Fluids Committee of the Engineering Mechanics Division of ASCE. This report provides environmental engineers with a comprehensive survey of recent developments in the application of fluid mechanics theories to treat environmental problems. Chapters cover principles of fluid mechanics, as well as contemporary applications to environmental problems involving river, lake, coastal, and groundwater areas. Topics include: turbulent diffusion; mixing of a turbulent jet in crossflow -- the advected line puff; multi-phase plumes in uniform, stratified, and flowing environments; turbulent transport processes across natural streams; three-dimensional hydrodynamic and salinity transport modeling in estuaries; fluid flows and reactive chemical transport in variably saturated subsurface media; heat and mass transport in porous media; parameter identification of environmental systems; finite element analysis of stratified lake hydrodynamics; water quality modeling in reservoirs; and linear systems approach to river water quality analysis In addition to providing valuable information to practitioners, this book also serves as a text for an advanced undergraduate or introductory graduate level course.

Entropy-Based Parameter Estimation in Hydrology

Entropy-Based Parameter Estimation in Hydrology PDF Author: V.P. Singh
Publisher: Springer Science & Business Media
ISBN: 9401714312
Category : Science
Languages : en
Pages : 382

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Book Description
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.

Linear and Nonlinear Inverse Problems with Practical Applications

Linear and Nonlinear Inverse Problems with Practical Applications PDF Author: Jennifer L. Mueller
Publisher: SIAM
ISBN: 9781611972344
Category : Mathematics
Languages : en
Pages : 351

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Book Description
Inverse problems arise in practical applications whenever there is a need to interpret indirect measurements. This book explains how to identify ill-posed inverse problems arising in practice and gives a hands-on guide to designing computational solution methods for them, with related codes on an accompanying website. The guiding linear inversion examples are the problem of image deblurring, x-ray tomography, and backward parabolic problems, including heat transfer. A thorough treatment of electrical impedance tomography is used as the guiding nonlinear inversion example which combines the analytic-geometric research tradition and the regularization-based school of thought in a fruitful manner. This book is complete with exercises and project topics, making it ideal as a classroom textbook or self-study guide for graduate and advanced undergraduate students in mathematics, engineering or physics who wish to learn about computational inversion. It also acts as a useful guide for researchers who develop inversion techniques in high-tech industry.

Hydrogeology of Crystalline Rocks

Hydrogeology of Crystalline Rocks PDF Author: I. Stober
Publisher: Springer Science & Business Media
ISBN: 9780792360827
Category : Science
Languages : en
Pages : 290

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Book Description
Hydrogeology of Crystalline Rocks deals with deep groundwater in the granite and gneiss basement of the continents. It has become evident during the past years that highly mineralized water is present in an interconnected fracture network of the basement. Thus, the upper part of the crust of the continents can be viewed as an aquifer and investigated with tools common in hydrogeology. This book presents accounts on water-conducting features of crystalline rocks and summarizes the hydraulic properties of the basement. The volume includes reviews, new data and research on the often remarkable chemical composition of deep groundwater. Microbial processes in the deep basement aquifer are probably more important than previously thought. Two contributions focus on this recent extension of research of the biosphere to greater depth in the Earth. This book represents the first multidisciplinary and integrated account of deep groundwater hydrology in crystalline basement. It is of interest to hydrologists and hydrogeologists working with water in crystalline rocks, but also to solid earth geophysicists, geochemists and petrologists with an interest in fluids in the crust. Scientists involved in nuclear waste disposal programs and geothermal energy development will find a wealth of stimulating ideas in this volume.

Enumath 97 - Proceedings Of The Second European Conference On Numerical Mathematics And Advanced Applications

Enumath 97 - Proceedings Of The Second European Conference On Numerical Mathematics And Advanced Applications PDF Author: Hans Georg Bock
Publisher: World Scientific
ISBN: 9814544612
Category :
Languages : en
Pages : 692

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Book Description
The ENUMATH conferences were established in 1995 in order to provide a forum for discussion on recent topics of numerical mathematics. They seek to bring together leading experts and young scientists, with special emphasis on contributions from Europe.In the second ENUMATH conference in 1997, recent results and new trends in the analysis of numerical algorithms as well as their application to challenging scientific and industrial problems were discussed. Apart from theoretical aspects, a major part of the conference was devoted to numerical methods in interdisciplinary applications.The topics covered in this proceedings include: higher order finite element methods, non-matching grids, least-squares methods for partial differential equations, multiscale analysis, boundary element method, optimization in partial differential equations, solid mechanics, microstructures, computational fluid dynamics, computational electrodynamics and semiconductors.

Encyclopedia of Optimization

Encyclopedia of Optimization PDF Author: Christodoulos A. Floudas
Publisher: Springer Science & Business Media
ISBN: 0387747583
Category : Mathematics
Languages : en
Pages : 4646

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Book Description
The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that show the spectrum of research, the richness of ideas, and the breadth of applications that has come from this field. The second edition builds on the success of the former edition with more than 150 completely new entries, designed to ensure that the reference addresses recent areas where optimization theories and techniques have advanced. Particularly heavy attention resulted in health science and transportation, with entries such as "Algorithms for Genomics", "Optimization and Radiotherapy Treatment Design", and "Crew Scheduling".

Lectures on Applied Mathematics

Lectures on Applied Mathematics PDF Author: Hans-Joachim Bungartz
Publisher: Springer Science & Business Media
ISBN: 3642597092
Category : Mathematics
Languages : en
Pages : 317

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Book Description
When the DFG (Deutsche Forschungsgemeinschaft) launched its collabora tive research centre or SFB (Sonderforschungsbereich) 438 "Mathematical Modelling, Simulation, and Verification in Material-Oriented Processes and Intelligent Systems" in July 1997 at the Technische Vniversitat Munchen and at the Vniversitat Augsburg, southern Bavaria got its second nucleus of the still young discipline scientific computing. Whereas the first and older one, FORTWIHR, the Bavarian Consortium for High Performance Scientific Com puting, had put its main emphasis on the supercomputing aspect, this new initiative was now expected to focus on the mathematical part. Consequently, throughout all of the five main research topics (A) adaptive materials and thin layers, (B) adaptive materials in medicine, (C) robotics, aeronautics, and automobile technology, (D) microstructured devices and systems, and (E) transport processes in flows, mathematical aspects play a predominant role. The formation of the SFB 438 and its scientific program are inextricably linked with the name of Karl-Heinz Hoffmann. As full professor for applied mathematics in Augsburg (1981-1991) and in Munchen (since 1992) and as dean of the faculty of mathematics at the TV Munchen, he was the driv ing force of this fascinating, but not always easy-to-realize idea of bringing together scientists from mathematics, physics, engineering, informatics, and medicine for joint efforts in modern applied mathematics. However, scarcely work had begun when the successful captain was called to take command on a bigger boat.

Hilbert-Huang Transform Analysis of Hydrological and Environmental Time Series

Hilbert-Huang Transform Analysis of Hydrological and Environmental Time Series PDF Author: A.R. Rao
Publisher: Springer Science & Business Media
ISBN: 1402064543
Category : Science
Languages : en
Pages : 248

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Book Description
The Hilbert-Huang Transform (HHT) is a recently developed technique used to analyze nonstationary data. This book uses methods based on the Hilbert-Huang Transform to analyze hydrological and environmental time series. These results are compared to the results from the traditional methods such as those based on Fourier transform and other classical statistical tests.