Laplace Transform Analytic Element Method For Transient Groundwater Flow Simulation

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Laplace Transform Analytic Element Method for Transient Groundwater Flow Simulation

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Author :
Publisher :
ISBN 13 :
Total Pages : 478 pages
Book Rating : 4.:/5 (659 download)

Book Synopsis Laplace Transform Analytic Element Method for Transient Groundwater Flow Simulation by :

Download or read book Laplace Transform Analytic Element Method for Transient Groundwater Flow Simulation written by and published by . This book was released on 2008 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Laplace transform analytic element method (LT-AEM), applies the traditionally steady-state analytic element method (AEM) to the Laplace-transformed diffusion equation (Furman and Neuman, 2003). This strategy preserves the accuracy and elegance of the AEM while extending the method to transient phenomena. The approach taken here utilizes eigenfunction expansion to derive analytic solutions to the modified Helmholtz equation, then back-transforms the LT-AEM results with a numerical inverse Laplace transform algorithm. The two-dimensional elements derived here include the point, circle, line segment, ellipse, and infinite line, corresponding to polar, elliptical and Cartesian coordinates. Each element is derived for the simplest useful case, an impulse response due to a confined, transient, single-aquifer source. The extension of these elements to include effects due to leaky, unconfined, multi-aquifer, wellbore storage, and inertia is shown for a few simple elements (point and line), with ready extension to other elements. General temporal behavior is achieved using convolution between these impulse and general time functions; convolution allows the spatial and temporal components of an element to be handled independently.Comparisons are made between inverse Laplace transform algorithms; the accelerated Fourier series approach of de Hoog et al. (1982) is found to be the most appropriate for LT-AEM applications. An application and synthetic examples are shown for several illustrative forward and parameter estimation simulations to illustrate LT-AEM capabilities. Extension of LT-AEM to three-dimensional flow and non-linear infiltration are discussed.

Analytic Element Modeling of Groundwater Flow

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Author : H. M. Haitjema
Publisher : Elsevier
ISBN 13 : 0080499104
Total Pages : 407 pages
Book Rating : 4.0/5 (84 download)

Book Synopsis Analytic Element Modeling of Groundwater Flow by : H. M. Haitjema

Download or read book Analytic Element Modeling of Groundwater Flow written by H. M. Haitjema and published by Elsevier. This book was released on 1995-09-20 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling has become an essential tool for the groundwater hydrologist. Where field data is limited, the analytic element method (AEM) is rapidly becoming the modeling method of choice, especially given the availability of affordable modeling software. Analytic Element Modeling of Groundwater Flow provides all the basics necessary to approach AEM successfully, including a presentation of fundamental concepts and a thorough introduction to Dupuit-Forchheimerflow. This book is unique in its emphasis on the actual use of analytic element models. Real-world examples complement material presented in the text. An educational version of the analytic element program GFLOW is included to allow the reader to reproduce the various solutions to groundwater flow problems discussed in the text. Researchers and graduate students in groundwater hydrology, geology, andengineering will find this book an indispensable resource. * * Provides a fundamental introduction to the use of the analytic element method. * Offers a step-by-step approach to groundwater flow modeling. * Includes an educational version of the GFLOW modeling software.

Analytic Element Method

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Author : David R. Steward
Publisher : Oxford University Press
ISBN 13 : 0192598821
Total Pages : 353 pages
Book Rating : 4.1/5 (925 download)

Book Synopsis Analytic Element Method by : David R. Steward

Download or read book Analytic Element Method written by David R. Steward and published by Oxford University Press. This book was released on 2020-08-31 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Analytic Element Method" (AEM) assembles a broad range of mathematical and computational approaches to solve important problems in engineering and science. As the subtitle "Complex Interactions of Boundaries and Interfaces" suggests, problems are partitioned into sets of elements and methods are formulated to solve conditions along their boundaries and interfaces. Presentation will place an element within its landscape, formulate its interactions with other elements using linear series of influence functions, and then solve for its coefficients to match its boundary and interface conditions. Computational methods enable boundary and interface conditions of closely interacting elements to be matched with nearly exact precision, commonly to within 8-12 significant digits. Comprehensive solutions provide elements that collectively interact and shape the environment within which they exist. This work is grounded in a wide range of foundational studies, using exact solutions for important boundary value problems. However, the computational capacity of their times limited solutions to idealized problems, commonly involving a single isolated element within a uniform regional background. With the advent of modern computers, such mathematically based methods were passed over by many, in the pursuit of discretized domain solutions using finite element and finite difference methods. Yet, the elegance of the mathematical foundational studies remains, and the rationale for the Analytic Element Method was inspired by the realization that computational advances could also lead to advances in the mathematical methods that were unforeseeable in the past.

The Boundary Element Method for Groundwater Flow

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Author : Erwin K. Bruch
Publisher : Springer Science & Business Media
ISBN 13 : 3642845770
Total Pages : 125 pages
Book Rating : 4.6/5 (428 download)

Book Synopsis The Boundary Element Method for Groundwater Flow by : Erwin K. Bruch

Download or read book The Boundary Element Method for Groundwater Flow written by Erwin K. Bruch and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the application of the boundary element method to the solution of the Laplace equation is examined. This equation is of fundamental importance in engineering and science as it describes different types of phenomena, inclu- ding the groundwater flow applications highlighted in this book. Special subjects such as numerical integration, subdi- visionof the domain into regions and other computational aspects are discussed in detail in the first chapters. To demonstrate the accuracy and efficiency of the boundary ele- ment method, results obtained when solving the Laplace equa- tion have been compared against known analytical solutions. Other chapters deal with problems such as steady and unstea- dy flow in addition to infiltration problems. The applica- tions demonstrate that the boundary element method provides a powerful solution technique which can be effectively ap- plied to solve this type of problem.

Introduction to Groundwater Modeling

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Author : Herbert F. Wang
Publisher : Academic Press
ISBN 13 : 0080571948
Total Pages : 248 pages
Book Rating : 4.0/5 (85 download)

Book Synopsis Introduction to Groundwater Modeling by : Herbert F. Wang

Download or read book Introduction to Groundwater Modeling written by Herbert F. Wang and published by Academic Press. This book was released on 1995-07-26 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The dramatic advances in the efficiency of digital computers during the past decade have provided hydrologists with a powerful tool for numerical modeling of groundwater systems. Introduction to Groundwater Modeling presents a broad, comprehensive overview of the fundamental concepts and applications of computerized groundwater modeling. The book covers both finite difference and finite element methods and includes practical sample programs that demonstrate theoretical points described in the text. Each chapter is followed by problems, notes, and references to additional information. This volume will be indispensable to students in introductory groundwater modeling courses as well as to groundwater professionals wishing to gain a complete introduction to this vital subject. - Systematic exposition of the basic ideas and results of Hilbert space theory and functional analysis - Great variety of applications that are not available in comparable books - Different approach to the Lebesgue integral, which makes the theory easier, more intuitive, and more accessible to undergraduate students

Analytic Elements for Transient Groundwater Flow

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Author : Willem Jan Zaadnoordijk
Publisher :
ISBN 13 :
Total Pages : 314 pages
Book Rating : 4.:/5 (319 download)

Book Synopsis Analytic Elements for Transient Groundwater Flow by : Willem Jan Zaadnoordijk

Download or read book Analytic Elements for Transient Groundwater Flow written by Willem Jan Zaadnoordijk and published by . This book was released on 1988 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt:

High-order Analytic Elements in Modeling Groundwater Flow

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Author : Igor Janković
Publisher :
ISBN 13 :
Total Pages : 366 pages
Book Rating : 4.:/5 (319 download)

Book Synopsis High-order Analytic Elements in Modeling Groundwater Flow by : Igor Janković

Download or read book High-order Analytic Elements in Modeling Groundwater Flow written by Igor Janković and published by . This book was released on 1997 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Third International Conference on the Analytic Element Method in Modeling Groundwater Flow

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Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (17 download)

Book Synopsis Third International Conference on the Analytic Element Method in Modeling Groundwater Flow by :

Download or read book Third International Conference on the Analytic Element Method in Modeling Groundwater Flow written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analytical Modeling of Solute Transport in Groundwater

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Author : Mark Goltz
Publisher : John Wiley & Sons
ISBN 13 : 1119300274
Total Pages : 270 pages
Book Rating : 4.1/5 (193 download)

Book Synopsis Analytical Modeling of Solute Transport in Groundwater by : Mark Goltz

Download or read book Analytical Modeling of Solute Transport in Groundwater written by Mark Goltz and published by John Wiley & Sons. This book was released on 2017-02-08 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaches, using simple analytical models how physical, chemical, and biological processes in the subsurface affect contaminant transport Uses simple analytical models to demonstrate the impact of subsurface processes on the fate and transport of groundwater contaminants Includes downloadable modeling tool that provides easily understood graphical output for over thirty models Modeling tool and book are integrated to facilitate reader understanding Collects analytical solutions from many sources into a single volume and, for the interested reader, shows how these solutions are derived from the governing model equations

Mathematical Analysis of Groundwater Flow Models

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Author : Abdon Atangana
Publisher : CRC Press
ISBN 13 : 100054575X
Total Pages : 351 pages
Book Rating : 4.0/5 (5 download)

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.

Groundwater Assessment, Modeling, and Management

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Author : M. Thangarajan
Publisher : CRC Press
ISBN 13 : 1498742858
Total Pages : 511 pages
Book Rating : 4.4/5 (987 download)

Book Synopsis Groundwater Assessment, Modeling, and Management by : M. Thangarajan

Download or read book Groundwater Assessment, Modeling, and Management written by M. Thangarajan and published by CRC Press. This book was released on 2016-09-15 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: Your Guide to Effective Groundwater Management Groundwater Assessment, Modeling, and Management discusses a variety of groundwater problems and outlines the solutions needed to sustain surface and ground water resources on a global scale. Contributors from around the world lend their expertise and provide an international perspective on groundwater management. They address the management of groundwater resources and pollution, waste water treatment methods, and the impact of climate change on groundwater and water availability (specifically in arid and semi-arid regions such as India and Africa). Incorporating management with science and modeling, the book covers all areas of groundwater resource assessment, modeling, and management, and combines hands-on applications with relevant theory. For Water Resource Managers and Decision Makers The book describes techniques for the assessment of groundwater potential, pollution, prevention, and remedial measures, and includes a new approach for groundwater modeling based on connections (network theory). Approximately 30 case studies and six hypothetical studies are introduced reflecting a range of themes that include: groundwater basics and the derivation of groundwater flow equations, exploration and assessment, aquifer parameterization, augmentation of aquifer, water and environment, water and agriculture, the role of models and their application, and water management policies and issues. The book describes remote sensing (RS) applications, geographical information systems (GIS), and electrical resistivity methods to delineate groundwater potential zones. It also takes a look at: Inverse modeling (pilot-points method) Simulation optimization models Radionuclide migration studies through mass transport modeling Modeling for mapping groundwater potential Modeling for vertical 2-D and 3-D groundwater flow Groundwater Assessment, Modeling, and Management explores the management of water resources and the impact of climate change on groundwater. Expert contributors provide practical information on hydrologic engineering and groundwater resources management for students, researchers, scientists, and other practicing professionals in environmental engineering, hydrogeology, irrigation, geophysics, and environmental science.

Introductory Laplace Transform with Applications

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Author : Dalpatadu
Publisher : Trafford Publishing
ISBN 13 : 1490760695
Total Pages : 172 pages
Book Rating : 4.4/5 (97 download)

Book Synopsis Introductory Laplace Transform with Applications by : Dalpatadu

Download or read book Introductory Laplace Transform with Applications written by Dalpatadu and published by Trafford Publishing. This book was released on 2015-07-17 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the first applications of the modern Laplace transform was by Bateman in 1910 who used it to transform Rutherfords equations in his work on radioactive decay. The modeling of complex engineering and physical problems by linear differential equations has made the Laplace transform an indispensable mathematical tool for engineers and scientists. The method of Laplace transform for solving linear differential equations is very popular in the disciplines of electrical engineering, environmental engineering, hydrology, and petroleum engineering. This book presents some applications of Laplace transforms in these disciplines. Algorithms for the numerical inversion of Laplace transform are given, and a computer program in R for the Stehfest algorithm is included.

Analysis of Transient Fluid Flow in Multi-layered Systems

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Author : Iraj Javandel
Publisher :
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.:/5 (359 download)

Book Synopsis Analysis of Transient Fluid Flow in Multi-layered Systems by : Iraj Javandel

Download or read book Analysis of Transient Fluid Flow in Multi-layered Systems written by Iraj Javandel and published by . This book was released on 1968 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Groundwater Modeling

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Author : Mary P. Anderson
Publisher : Academic Press
ISBN 13 : 0080916384
Total Pages : 632 pages
Book Rating : 4.0/5 (89 download)

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 632 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

Mathematical Analysis of Groundwater Flow Models

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Author : Abdon Atangana
Publisher : CRC Press
ISBN 13 : 1000545741
Total Pages : 635 pages
Book Rating : 4.0/5 (5 download)

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.

Treatise on Water Science

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Author :
Publisher : Newnes
ISBN 13 : 0444531998
Total Pages : 2131 pages
Book Rating : 4.4/5 (445 download)

Book Synopsis Treatise on Water Science by :

Download or read book Treatise on Water Science written by and published by Newnes. This book was released on 2010-09-01 with total page 2131 pages. Available in PDF, EPUB and Kindle. Book excerpt: Water quality and management are of great significance globally, as the demand for clean, potable water far exceeds the availability. Water science research brings together the natural and applied sciences, engineering, chemistry, law and policy, and economics, and the Treatise on Water Science seeks to unite these areas through contributions from a global team of author-experts. The 4-volume set examines topics in depth, with an emphasis on innovative research and technologies for those working in applied areas. Published in partnership with and endorsed by the International Water Association (IWA), demonstrating the authority of the content Editor-in-Chief Peter Wilderer, a Stockholm Water Prize recipient, has assembled a world-class team of volume editors and contributing authors Topics related to water resource management, water quality and supply, and handling of wastewater are treated in depth

An Assessment of the Role of Transient Flow on the Dispersion of Non-reactive Solutes in Porous Media, a Numerical Study

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (654 download)

Book Synopsis An Assessment of the Role of Transient Flow on the Dispersion of Non-reactive Solutes in Porous Media, a Numerical Study by :

Download or read book An Assessment of the Role of Transient Flow on the Dispersion of Non-reactive Solutes in Porous Media, a Numerical Study written by and published by . This book was released on 1997 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: