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Mathematical Analysis Of Groundwater Flow Models
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Book Synopsis Mathematical Analysis of Groundwater Flow Models by : Abdon Atangana
Download or read book Mathematical Analysis of Groundwater Flow Models written by Abdon Atangana and published by CRC Press. This book was released on 2022-03-22 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides comprehensive analysis of a number of groundwater issues, ranging from flow to pollution problems. Several scenarios are considered throughout, including flow in leaky, unconfined, and confined geological formations, crossover flow behavior from confined to confined, to semi-confined to unconfined and groundwater pollution in dual media. Several mathematical concepts are employed to include into the mathematical models’ complexities of the geological formation, including classical differential operators, fractional derivatives and integral operators, fractal mapping, randomness, piecewise differential, and integral operators. It suggests several new and modified models to better predict anomalous behaviours of the flow and movement of pollution within complex geological formations. Numerous mathematical techniques are employed to ensure that all suggested models are well-suited, and different techniques including analytical methods and numerical methods are used to derive exact and numerical solutions of different groundwater models. Features: Includes modified numerical and analytical methods for solving new and modified models for groundwater flow and transport Presents new flow and transform models for groundwater transport in complex geological formations Examines fractal and crossover behaviors and their mathematical formulations Mathematical Analysis of Groundwater Flow Models serves as a valuable resource for graduate and PhD students as well as researchers working within the field of groundwater modeling.
Book Synopsis Mathematical Analysis of Groundwater Resources by : Bruce Hunt
Download or read book Mathematical Analysis of Groundwater Resources written by Bruce Hunt and published by Elsevier. This book was released on 2016-01-22 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Analysis of Groundwater Resources focuses on groundwater flow. The book first discusses the scope of the study, definition of terms, and mathematical preliminaries. The text examines the equations of groundwater flow. Continuum concepts; flux and pore velocities; Darcy's Law for Anisotropic Aquifers; Conservation of Mass equations; and boundary conditions are discussed. The book also underscores the formulation of boundary-value problems. Regional problems, confined flow problems, sea water intrusion problems, and free surface flows are discussed. The text also looks at the approximate solution of boundary-value problems, inverse problems, and groundwater pollution. The book then presents the exact solutions of steady-flow problems. Problem formulations; analytic coordinate transformations; analytic functions of a complex variable; applications of the Schwarz-Christoffel transformation; and superposition of solutions are described. The text also discusses the exact solution of unsteady problems. The Laplace transform, groundwater recharge problems, well storage effect, and two well recovery problems are discussed. The book is a good source of data for researchers who are interested in groundwater flow.
Book Synopsis Mathematical Analysis of Groundwater Flow Models by : Abdon Atangana
Download or read book Mathematical Analysis of Groundwater Flow Models written by Abdon Atangana and published by CRC Press. This book was released on 2022-03-22 with total page 635 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides comprehensive analysis of a number of groundwater issues, ranging from flow to pollution problems. Several scenarios are considered throughout, including flow in leaky, unconfined, and confined geological formations, crossover flow behavior from confined to confined, to semi-confined to unconfined and groundwater pollution in dual media. Several mathematical concepts are employed to include into the mathematical models’ complexities of the geological formation, including classical differential operators, fractional derivatives and integral operators, fractal mapping, randomness, piecewise differential, and integral operators. It suggests several new and modified models to better predict anomalous behaviours of the flow and movement of pollution within complex geological formations. Numerous mathematical techniques are employed to ensure that all suggested models are well-suited, and different techniques including analytical methods and numerical methods are used to derive exact and numerical solutions of different groundwater models. Features: Includes modified numerical and analytical methods for solving new and modified models for groundwater flow and transport Presents new flow and transform models for groundwater transport in complex geological formations Examines fractal and crossover behaviors and their mathematical formulations Mathematical Analysis of Groundwater Flow Models serves as a valuable resource for graduate and PhD students as well as researchers working within the field of groundwater modeling.
Book Synopsis Groundwater Models for Resources Analysis and Management by : Aly I. El-Kadi
Download or read book Groundwater Models for Resources Analysis and Management written by Aly I. El-Kadi and published by CRC Press. This book was released on 2017-11-22 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by renowned experts in the field, this book assesses the status of groundwater models and defines models and modeling needs in the 21st century. It reviews the state of the art in model development and application in regional groundwater management, unsaturated flow/multiphase flow and transport, island modeling, biological and virus transport, and fracture flow. Both deterministic and stochastic aspects of unsaturated flow and transport are covered. The book also introduces a unique assessment of models as analysis and management tools for groundwater resources. Topics covered include model vs. data uncertainty, accuracy of the dispersion/convection equation, protocols for model testing and validation, post-audit studies, and applying models to karst aquifers.
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.
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.
Book Synopsis Groundwater Modelling by : W. Kinzelbach
Download or read book Groundwater Modelling written by W. Kinzelbach and published by Elsevier. This book was released on 1986-01-01 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the growing concern about groundwater resources both with respect to quantity and quality, the need for groundwater modelling tools is increasing. Although there are a number of excellent introductions to the concepts of groundwater flow and pollution transport, the student or practising engineer wishing to develop a model and do practical work on the computer finds that there is still a gap between the understanding of concepts and the ability to handle the actual computations. A great deal of groundwater modelling software for personal computers and microcomputers has appeared recently, but taking these models from the shelf and applying them without a background on their capabilities often leads to disappointment and frustration. This book provides the reader with all necessary details to start modelling on his own. It gives a comprehensive introduction to the major techniques currently used in the modelling of groundwater flow and pollutant transport in groundwater. Both self-contained and comprehensive, it presents a wide variety of methods currently applied in the management, protection, and remediation of groundwater resources, which allows the reader to take the step from understanding the concepts to the ability to handle actual computations. All major techniques are illustrated by a total of 19 sample programs in BASIC which can be modified by the reader to suit his own need. The programs can be run directly on an Apple II+ or compatible personal computer, and with slight modifications, most can be transferred to other microcomputers with BASIC capability and at least 48K of central memory. The necessary modifications for running the programs on an IBM-PC are indicated in the appendix. Students and professionals in the fields of hydrogeology and civil and environmental engineering will find this to be an extremely useful book. Knowledge of the basic concepts of hydrogeology is assumed and, starting from that basis, the book will enable them to understand mathematical groundwater models and write computer programs of their own.
Book Synopsis Hydrogeology and Groundwater Modeling by : Neven Kresic
Download or read book Hydrogeology and Groundwater Modeling written by Neven Kresic and published by CRC Press. This book was released on 2006-10-26 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt: Coupling the basics of hygrogeology with analytical and numerical modeling methods, Hydrogeology and Groundwater Modeling, Second Edition provides detailed coverage of both theory and practice. Written by a leading hydrogeologist who has consulted for industry and environmental agencies and taught at major universities around the world, this unique
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
Book Synopsis Fundamentals of Ground-water Modeling by : Jacob Bear
Download or read book Fundamentals of Ground-water Modeling written by Jacob Bear and published by . This book was released on 1992 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Hydrogeology and Groundwater Modeling by : Neven Kresic
Download or read book Hydrogeology and Groundwater Modeling written by Neven Kresic and published by CRC Press. This book was released on 1997-03-24 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantitative Solutions in Hydrogeology and Groundwater Modeling addresses and solves a variety of questions and problems from hydrogeological practice. It includes major aspects of quantitative groundwater evaluation, from basic laboratory determination of hydrogeological parameters to complex analytical calculations and modeling for engineering purposes. Groundwater modeling is a strong trend in hydrogeology. Recent years have seen the rapid development of sophisticated and powerful groundwater models, along with a decrease in the use of the more mathematically demanding analytical quantitative solutions. Quantitative Solutions in Hydrogeology and Groundwater Modeling avoids this conflict by explaining both modeling and mathematical solutions in detail.
Book Synopsis Modelling and Simulation of Diffusive Processes by : S.K. Basu
Download or read book Modelling and Simulation of Diffusive Processes written by S.K. Basu and published by Springer Science & Business Media. This book was released on 2014-04-15 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the key issues in the modeling and simulation of diffusive processes from a wide spectrum of different applications across a broad range of disciplines. Features: discusses diffusion and molecular transport in living cells and suspended sediment in open channels; examines the modeling of peristaltic transport of nanofluids, and isotachophoretic separation of ionic samples in microfluidics; reviews thermal characterization of non-homogeneous media and scale-dependent porous dispersion resulting from velocity fluctuations; describes the modeling of nitrogen fate and transport at the sediment-water interface and groundwater flow in unconfined aquifers; investigates two-dimensional solute transport from a varying pulse type point source and futile cycles in metabolic flux modeling; studies contaminant concentration prediction along unsteady groundwater flow and modeling synovial fluid flow in human joints; explores the modeling of soil organic carbon and crop growth simulation.
Book Synopsis Two- and Three-Dimensional Flow of Groundwater by : Florimond De Smedt
Download or read book Two- and Three-Dimensional Flow of Groundwater written by Florimond De Smedt and published by CRC Press. This book was released on 2017-11-06 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is a practical guide to groundwater flow theory intended to serve students and practitioners by bridging the gap between basic hydrogeology and groundwater modeling. It synthesizes the mathematics of groundwater flow and provides information in an easily-accessible format for practicing groundwater professionals, consultants, and students that intend to become skillful and competent groundwater flow modelers.
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.
Book Synopsis Optimal Management of Flow in Groundwater Systems by : David P. Ahlfeld
Download or read book Optimal Management of Flow in Groundwater Systems written by David P. Ahlfeld and published by Academic Press. This book was released on 2000-01-10 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: CD-ROM contains: Complete FORTRAN source code for MODOFC -- Executable compiled using the Lahey F77L-EM/32 FORTRAN 77 Compiler -- Documentatiion for MODOFC -- Sample problems -- HTML files from the MODOFC Web site.
Book Synopsis A Practical Guide to Groundwater and Solute Transport Modeling by : Karlheinz Spitz
Download or read book A Practical Guide to Groundwater and Solute Transport Modeling written by Karlheinz Spitz and published by Wiley-Interscience. This book was released on 1996-04-12 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on modeling applications, this outstanding reference provides a step-by-step, non-mathematical approach to constructing and using realistic workable groundwater models on a daily basis. Extensive detailed drawings, case studies, practical examples, and sample models illustrate important concepts. Includes data on hydrogeologic features and pollutants plus a glossary of terms.
Book Synopsis Aquifer Test Modeling by : William C. Walton
Download or read book Aquifer Test Modeling written by William C. Walton and published by CRC Press. This book was released on 2006-11-15 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recognition of the trend toward using numerical methdos for analyzing aquifer test data, Aquifer Test Modeling delineates the application of numerical Laplace inversion analytical equations and numerical models and demonstrates the use of public domain software. Written by a leading expert with over fifty years of experience, this highly practical text provides a thorough grounding in the terms and methods employed in aquifer test modeling, while also establishing a protocol for organizing and simplifying conceptual model definition and data analysis. Using graphs, tables, and sample datasets to enhance understanding, the author delineates the five major steps involved in the aquifer test modeling process. He discusses the importance of the conceptual model definition as a framework for organizing, simplifying, and idealizing information. The chapters cover the selection of appropriate aquifer test mathematical model equations compatible with previously defined conceptual models and highlight the importance of reviewing the mathematical assumption and the adjustment of data for any departures. They also explain format selection, technique selection, well function or drawdown calculation, and calibration. The book provides five sample data sets to assist the reader in becoming familiar with WTAQ and MODFLOW aquifer test modeling input and output data file contents with confined nonleaky and unconfined aquifer conditions. It includes conceptual models consisting of abbreviated descriptions of aquifer test facilities, aquifer test data, and aquifer parameter values together with selected sample file sets. These are just a few of the features that make the book a valuable tool for estimating the supply and contamination characteristics of aquifers.
