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Analytic Boundary Integral Equation Method For Steady State And Transient Groundwater Flow
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Book Synopsis Analytic Boundary Integral Equation Method for Steady-state and Transient Groundwater Flow by : David Ray Steward
Download or read book Analytic Boundary Integral Equation Method for Steady-state and Transient Groundwater Flow written by David Ray Steward and published by . This book was released on 1991 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
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
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.
Book Synopsis Boundary Integral Equation Analyses of Singular, Potential, and Biharmonic Problems by : D. B. Ingham
Download or read book Boundary Integral Equation Analyses of Singular, Potential, and Biharmonic Problems written by D. B. Ingham and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harmonic and biharmonic boundary value problems (BVP) arising in physical situations in fluid mechanics are, in general, intractable by analytic techniques. In the last decade there has been a rapid increase in the application of integral equation techniques for the numerical solution of such problems [1,2,3]. One such method is the boundary integral equation method (BIE) which is based on Green's Formula [4] and enables one to reformulate certain BVP as integral equations. The reformulation has the effect of reducing the dimension of the problem by one. Because discretisation occurs only on the boundary in the BIE the system of equations generated by a BIE is considerably smaller than that generated by an equivalent finite difference (FD) or finite element (FE) approximation [5]. Application of the BIE in the field of fluid mechanics has in the past been limited almost entirely to the solution of harmonic problems concerning potential flows around selected geometries [3,6,7]. Little work seems to have been done on direct integral equation solution of viscous flow problems. Coleman [8] solves the biharmonic equation describing slow flow between two semi infinite parallel plates using a complex variable approach but does not consider the effects of singularities arising in the solution domain. Since the vorticity at any singularity becomes unbounded then the methods presented in [8] cannot achieve accurate results throughout the entire flow field.
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.
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:
Book Synopsis The Boundary Integral Equation Method Applied to Free Surface Flow Problems in Porous Media by : Gerard P. Lennon
Download or read book The Boundary Integral Equation Method Applied to Free Surface Flow Problems in Porous Media written by Gerard P. Lennon and published by . This book was released on 1980 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
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.
Book Synopsis A Combination of the Boundary Integral Equation Method and the Finite Element Method for the Analysis of 2-dimensional Groundwater Problems by : Hüseyin Melih Erdemir
Download or read book A Combination of the Boundary Integral Equation Method and the Finite Element Method for the Analysis of 2-dimensional Groundwater Problems written by Hüseyin Melih Erdemir and published by . This book was released on 1981 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Seepage and Groundwater Flow by : K. R. Rushton
Download or read book Seepage and Groundwater Flow written by K. R. Rushton and published by John Wiley & Sons. This book was released on 1979 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 109 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 Boundary Integral and Singularity Methods for Linearized Viscous Flow by : C. Pozrikidis
Download or read book Boundary Integral and Singularity Methods for Linearized Viscous Flow written by C. Pozrikidis and published by Cambridge University Press. This book was released on 1992-02-28 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: In addition to theory, this study focuses on practical application and computer implementation in a coherent introduction to boundary integrals, boundary element and singularity methods for steady and unsteady flow at zero Reynolds numbers.
Book Synopsis Numerical Methods in Geomechanics Volume 1 by : G. Swoboda
Download or read book Numerical Methods in Geomechanics Volume 1 written by G. Swoboda and published by Routledge. This book was released on 2017-11-01 with total page 1312 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Published in 2017. Routledge is an imprint of Taylor & Francis, an Informa company.
Book Synopsis A Boundary Integral Equation Method for Steady Two-dimensional Flow in Partially Saturated Media by : M. J. Martinez
Download or read book A Boundary Integral Equation Method for Steady Two-dimensional Flow in Partially Saturated Media written by M. J. Martinez and published by . This book was released on 1991 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Modular Finite-element Model (MODFE) for Areal and Axisymmetric Ground-water Flow Problems by : Richard L. Cooley
Download or read book A Modular Finite-element Model (MODFE) for Areal and Axisymmetric Ground-water Flow Problems written by Richard L. Cooley and published by . This book was released on 1992 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
