Inverse Problems in Groundwater Modeling

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Publisher : Springer Science & Business Media
ISBN 13 : 9401719705
Total Pages : 346 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Inverse Problems in Groundwater Modeling by : Ne-Zheng Sun

Download or read book Inverse Problems in Groundwater Modeling written by Ne-Zheng Sun and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: ... 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.

The Double Constraint Inversion Methodology

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Publisher : Springer
ISBN 13 : 3319713426
Total Pages : 101 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis The Double Constraint Inversion Methodology by : Wouter Zijl

Download or read book The Double Constraint Inversion Methodology written by Wouter Zijl and published by Springer. This book was released on 2017-12-26 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt: ​This book describes a novel physics-based approach to inverse modeling that makes use of the properties of the equations governing the physics of the processes under consideration. It focuses on the inverse problems occurring in hydrogeology, but the approach is also applicable to similar inverse problems in various other fields, such as petroleum-reservoir engineering, geophysical and medical imaging, weather forecasting, and flood prediction. This approach takes into consideration the physics – for instance, the boundary conditions required to obtain a well-posed mathematical problem – to help avoid errors in model building and therefore enhance the reliability of the results. In addition, this method requires less computation time and less computer memory. The theory is presented in a comprehensive, not overly mathematical, way, with three practice-oriented hydrogeological case studies and a comparison with the conventional approach illustrating the power of the method. Forward and Inverse Modeling of Groundwater Flow is of use to researchers and graduate students in the fields of hydrology, as well as to professional hydrologists within industry. It also appeals to geophysicists and those working in or studying petroleum reservoir modeling and basin modeling.

Parameter Identification and Inverse Problems in Hydrology, Geology and Ecology

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Publisher : Springer Science & Business Media
ISBN 13 : 940091704X
Total Pages : 307 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Parameter Identification and Inverse Problems in Hydrology, Geology and Ecology by : Johannes Gottlieb

Download or read book Parameter Identification and Inverse Problems in Hydrology, Geology and Ecology written by Johannes Gottlieb and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Computational Methods for Inverse Problems

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Publisher : SIAM
ISBN 13 : 0898717574
Total Pages : 195 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Computational Methods for Inverse Problems by : Curtis R. Vogel

Download or read book Computational Methods for Inverse Problems written by Curtis R. Vogel and published by SIAM. This book was released on 2002-01-01 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a basic understanding of both the underlying mathematics and the computational methods used to solve inverse problems.

An Inverse Problem from the 2D-groundwater Modelling

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Publisher :
ISBN 13 :
Total Pages : 21 pages
Book Rating : 4.:/5 (758 download)

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Book Synopsis An Inverse Problem from the 2D-groundwater Modelling by : Gottfried Bruckner

Download or read book An Inverse Problem from the 2D-groundwater Modelling written by Gottfried Bruckner and published by . This book was released on 1997 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Groundwater Flow and Quality Modelling

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Publisher : Springer Science & Business Media
ISBN 13 : 9789027726551
Total Pages : 876 pages
Book Rating : 4.7/5 (265 download)

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Book Synopsis Groundwater Flow and Quality Modelling by : E. Custodio

Download or read book Groundwater Flow and Quality Modelling written by E. Custodio and published by Springer Science & Business Media. This book was released on 1988-02-29 with total page 876 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the NATO Advanced Research Workshop on Advances in Analytical and Numerical Groundwater Flow and Quality Modelling, Lisbon, Portugal, June 2-6, 1987

Applied Groundwater Modeling

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Publisher : Academic Press
ISBN 13 : 0080916384
Total Pages : 630 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Applied Groundwater Modeling by : Mary P. Anderson

Download or read book Applied Groundwater Modeling written by Mary P. Anderson and published by Academic Press. This book was released on 2015-08-13 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition is extensively revised throughout with expanded discussion of modeling fundamentals and coverage of advances in model calibration and uncertainty analysis that are revolutionizing the science of groundwater modeling. The text is intended for undergraduate and graduate level courses in applied groundwater modeling and as a comprehensive reference for environmental consultants and scientists/engineers in industry and governmental agencies. Explains how to formulate a conceptual model of a groundwater system and translate it into a numerical model Demonstrates how modeling concepts, including boundary conditions, are implemented in two groundwater flow codes-- MODFLOW (for finite differences) and FEFLOW (for finite elements) Discusses particle tracking methods and codes for flowpath analysis and advective transport of contaminants Summarizes parameter estimation and uncertainty analysis approaches using the code PEST to illustrate how concepts are implemented Discusses modeling ethics and preparation of the modeling report Includes Boxes that amplify and supplement topics covered in the text Each chapter presents lists of common modeling errors and problem sets that illustrate concepts

Groundwater Updates

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Publisher : Springer Science & Business Media
ISBN 13 : 4431684425
Total Pages : 489 pages
Book Rating : 4.4/5 (316 download)

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Book Synopsis Groundwater Updates by : K. Sato

Download or read book Groundwater Updates written by K. Sato and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: Groundwater is essential to life and to maintaining Earth's water cycle. In the face of growing threats to this invaluable resource, recent advances in research and analysis - notably in numerical simulation and data processing with computers - are bringing rapid changes in dynamic methodology for groundwater management and modeling. This book contains the latest updates from the field of groundwater science and engineering, organized around five major topics: Optimization of groundwater resources in basins, Groundwater pollution and remediation technologies, Underground development and groundwater technologies, Interaction between surface and subsurface water, and Reliability of numerical methods and scaling in geohydraulics. This collection of more than 80 papers by leading specialists provides a valuable source of information for researchers, engineers, and students in the field of groundwater resources and management.

Mathematical Modeling of Groundwater Pollution

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Publisher : Springer Science & Business Media
ISBN 13 : 1475725582
Total Pages : 391 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Mathematical Modeling of Groundwater Pollution by : Ne-Zheng Sun

Download or read book Mathematical Modeling of Groundwater Pollution written by Ne-Zheng Sun and published by Springer Science & Business Media. This book was released on 2014-07-08 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Groundwater is one of the most important resources in the world. In many areas, water supplies for industrial, domestic, and agricultural uses are de pendent on groundwater. As an "open" system, groundwater may exchange mass and energy with its neighboring systems (soil, air, and surface water) through adsorption, ion-exchange, infiltration, evaporation, inflow, outflow, and other exchange forms. Consequently, both the quantity and quality of groundwater may vary with environmental changes and human activities. Due to population growth, and industrial and agricultural development, more and more groundwater is extracted, especially in arid areas. If the groundwater management problem is not seriously considered, over extraction may lead to groundwater mining, salt water intrusion, and land subsidence. In fact, the quality of groundwater is gradually deteriorating throughout the world. The problem of groundwater pollution has appeared, not only in developed countries, but also in developing countries. Ground water pollution is a serious environmental problem that may damage human health, destroy the ecosystem, and cause water shortage.

Large-Scale Inverse Problems and Quantification of Uncertainty

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Publisher : John Wiley & Sons
ISBN 13 : 1119957583
Total Pages : 403 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis Large-Scale Inverse Problems and Quantification of Uncertainty by : Lorenz Biegler

Download or read book Large-Scale Inverse Problems and Quantification of Uncertainty written by Lorenz Biegler and published by John Wiley & Sons. This book was released on 2011-06-24 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on computational methods for large-scale statistical inverse problems and provides an introduction to statistical Bayesian and frequentist methodologies. Recent research advances for approximation methods are discussed, along with Kalman filtering methods and optimization-based approaches to solving inverse problems. The aim is to cross-fertilize the perspectives of researchers in the areas of data assimilation, statistics, large-scale optimization, applied and computational mathematics, high performance computing, and cutting-edge applications. The solution to large-scale inverse problems critically depends on methods to reduce computational cost. Recent research approaches tackle this challenge in a variety of different ways. Many of the computational frameworks highlighted in this book build upon state-of-the-art methods for simulation of the forward problem, such as, fast Partial Differential Equation (PDE) solvers, reduced-order models and emulators of the forward problem, stochastic spectral approximations, and ensemble-based approximations, as well as exploiting the machinery for large-scale deterministic optimization through adjoint and other sensitivity analysis methods. Key Features: Brings together the perspectives of researchers in areas of inverse problems and data assimilation. Assesses the current state-of-the-art and identify needs and opportunities for future research. Focuses on the computational methods used to analyze and simulate inverse problems. Written by leading experts of inverse problems and uncertainty quantification. Graduate students and researchers working in statistics, mathematics and engineering will benefit from this book.

Effective Groundwater Model Calibration

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Publisher : John Wiley & Sons
ISBN 13 : 0470041072
Total Pages : 475 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Effective Groundwater Model Calibration by : Mary C. Hill

Download or read book Effective Groundwater Model Calibration written by Mary C. Hill and published by John Wiley & Sons. This book was released on 2006-08-25 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods and guidelines for developing and using mathematical models Turn to Effective Groundwater Model Calibration for a set of methods and guidelines that can help produce more accurate and transparent mathematical models. The models can represent groundwater flow and transport and other natural and engineered systems. Use this book and its extensive exercises to learn methods to fully exploit the data on hand, maximize the model's potential, and troubleshoot any problems that arise. Use the methods to perform: Sensitivity analysis to evaluate the information content of data Data assessment to identify (a) existing measurements that dominate model development and predictions and (b) potential measurements likely to improve the reliability of predictions Calibration to develop models that are consistent with the data in an optimal manner Uncertainty evaluation to quantify and communicate errors in simulated results that are often used to make important societal decisions Most of the methods are based on linear and nonlinear regression theory. Fourteen guidelines show the reader how to use the methods advantageously in practical situations. Exercises focus on a groundwater flow system and management problem, enabling readers to apply all the methods presented in the text. The exercises can be completed using the material provided in the book, or as hands-on computer exercises using instructions and files available on the text's accompanying Web site. Throughout the book, the authors stress the need for valid statistical concepts and easily understood presentation methods required to achieve well-tested, transparent models. Most of the examples and all of the exercises focus on simulating groundwater systems; other examples come from surface-water hydrology and geophysics. The methods and guidelines in the text are broadly applicable and can be used by students, researchers, and engineers to simulate many kinds systems.

Parameter Estimation and Inverse Problems

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Publisher : Academic Press
ISBN 13 : 0123850487
Total Pages : 377 pages
Book Rating : 4.1/5 (238 download)

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Book Synopsis Parameter Estimation and Inverse Problems by : Richard C. Aster

Download or read book Parameter Estimation and Inverse Problems written by Richard C. Aster and published by Academic Press. This book was released on 2013 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Preface -- 1. Introduction -- 2. Linear Regression -- 3. Discretizing Continuous Inverse Problems -- 4. Rank Deficiency and Ill-Conditioning -- 5. Tikhonov Regularization -- 6. Iterative Methods -- 7. Other Regularization Techniques -- 8. Fourier Techniques -- 9. Nonlinear Regression -- 10. Nonlinear Inverse Problems -- 11. Bayesian Methods -- Appendix A: Review of Linear Algebra -- Appendix B: Review of Probability and Statistics -- Appendix C: Glossary of Notation -- Bibliography -- IndexLinear Regression -- Discretizing Continuous Inverse Problems -- Rank Deficiency and Ill-Conditioning -- Tikhonov Regularization -- Iterative Methods -- Other Regularization Techniques -- Fourier Techniques -- Nonlinear Regression -- Nonlinear Inverse Problems -- Bayesian Methods.

Numerical Methods for Inverse Problems

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Publisher : John Wiley & Sons
ISBN 13 : 1119136954
Total Pages : 228 pages
Book Rating : 4.1/5 (191 download)

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Book Synopsis Numerical Methods for Inverse Problems by : Michel Kern

Download or read book Numerical Methods for Inverse Problems written by Michel Kern and published by John Wiley & Sons. This book was released on 2016-03-31 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies methods to concretely address inverse problems. An inverse problem arises when the causes that produced a given effect must be determined or when one seeks to indirectly estimate the parameters of a physical system. The author uses practical examples to illustrate inverse problems in physical sciences. He presents the techniques and specific methods chosen to solve inverse problems in a general domain of application, choosing to focus on a small number of methods that can be used in most applications. This book is aimed at readers with a mathematical and scientific computing background. Despite this, it is a book with a practical perspective. The methods described are applicable, have been applied, and are often illustrated by numerical examples.

Methods and Guidelines for Effective Model Calibration

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Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Methods and Guidelines for Effective Model Calibration by : Mary Catherine Hill

Download or read book Methods and Guidelines for Effective Model Calibration written by Mary Catherine Hill and published by . This book was released on 1998 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Groundwater Flow and Quality Modelling

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Publisher : Springer Science & Business Media
ISBN 13 : 9400928890
Total Pages : 834 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Groundwater Flow and Quality Modelling by : E. Custodio

Download or read book Groundwater Flow and Quality Modelling written by E. Custodio and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the NATO Advanced Research Workshop on Advances in Analytical and Numerical Groundwater Flow and Quality Modelling, Lisbon, Portugal, June 2-6, 1987

Modeling Groundwater Flow and Contaminant Transport

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Publisher : Springer Science & Business Media
ISBN 13 : 1402066821
Total Pages : 851 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Modeling Groundwater Flow and Contaminant Transport by : Jacob Bear

Download or read book Modeling Groundwater Flow and Contaminant Transport written by Jacob Bear and published by Springer Science & Business Media. This book was released on 2010-01-18 with total page 851 pages. Available in PDF, EPUB and Kindle. Book excerpt: In many parts of the world, groundwater resources are under increasing threat from growing demands, wasteful use, and contamination. To face the challenge, good planning and management practices are needed. A key to the management of groundwater is the ability to model the movement of fluids and contaminants in the subsurface. The purpose of this book is to construct conceptual and mathematical models that can provide the information required for making decisions associated with the management of groundwater resources, and the remediation of contaminated aquifers. The basic approach of this book is to accurately describe the underlying physics of groundwater flow and solute transport in heterogeneous porous media, starting at the microscopic level, and to rigorously derive their mathematical representation at the macroscopic levels. The well-posed, macroscopic mathematical models are formulated for saturated, single phase flow, as well as for unsaturated and multiphase flow, and for the transport of single and multiple chemical species. Numerical models are presented and computer codes are reviewed, as tools for solving the models. The problem of seawater intrusion into coastal aquifers is examined and modeled. The issues of uncertainty in model input data and output are addressed. The book concludes with a chapter on the management of groundwater resources. Although one of the main objectives of this book is to construct mathematical models, the amount of mathematics required is kept minimal.

Calibration and Reliability in Groundwater Modelling

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Publisher : IAHS Press
ISBN 13 : 9780947571948
Total Pages : 622 pages
Book Rating : 4.5/5 (719 download)

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Book Synopsis Calibration and Reliability in Groundwater Modelling by : Karel Kovar

Download or read book Calibration and Reliability in Groundwater Modelling written by Karel Kovar and published by IAHS Press. This book was released on 1996 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: