Mathematical Modeling Of Ground Water Systems

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Mathematical Modeling of Groundwater Pollution

Author : Ne-Zheng Sun
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.

Mathematical Analysis of Groundwater Flow Models

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

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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 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.

Mathematical Modeling of Ground-water Systems

Author : Jerald P. Dauer
Publisher :
ISBN 13 :
Total Pages : 74 pages
Book Rating : 4.3/5 (121 download)

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Book Synopsis Mathematical Modeling of Ground-water Systems by : Jerald P. Dauer

Download or read book Mathematical Modeling of Ground-water Systems written by Jerald P. Dauer and published by . This book was released on 1983 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modeling Groundwater Flow and Contaminant Transport

Author : Jacob Bear
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.

Modeling Groundwater Flow and Pollution

Author : Jacob Bear
Publisher : Springer Science & Business Media
ISBN 13 : 9400933797
Total Pages : 426 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Modeling Groundwater Flow and Pollution by : Jacob Bear

Download or read book Modeling Groundwater Flow and Pollution written by Jacob Bear and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Groundwater constitutes an important component of many water resource systems, supplying water for domestic use, for industry, and for agriculture. Management of a groundwater system, an aquifer, or a system of aquifers, means making such decisions as to the total quantity of water to be withdrawn annually, the location of wells for pumping and for artificial recharge and their rates, and control conditions at aquifer boundaries. Not less important are decisions related to groundwater qUality. In fact, the quantity and quality problems cannot be separated. In many parts of the world, with the increased withdrawal of ground water, often beyond permissible limits, the quality of groundwater has been continuously deteriorating, causing much concern to both suppliers and users. In recent years, in addition to general groundwater quality aspects, public attention has been focused on groundwater contamination by hazardous industrial wastes, by leachate from landfills, by oil spills, and by agricultural activities such as the use of fertilizers, pesticides, and herbicides, and by radioactive waste in repositories located in deep geological formations, to mention some of the most acute contamination sources. In all these cases, management means making decisions to achieve goals without violating specified constraints. In order to enable the planner, or the decision maker, to compare alternative modes of action and to ensure that the constraints are not violated, a tool is needed that will provide information about the response of the system (the aquifer) to various alternatives.

Fundamentals of Ground-water Modeling

Author : Jacob Bear
Publisher :
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.3/5 (243 download)

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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:

Introduction to the Numerical Modeling of Groundwater and Geothermal Systems

Author : Jochen Bundschuh
Publisher : CRC Press
ISBN 13 : 0203848101
Total Pages : 522 pages
Book Rating : 4.2/5 (38 download)

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Book Synopsis Introduction to the Numerical Modeling of Groundwater and Geothermal Systems by : Jochen Bundschuh

Download or read book Introduction to the Numerical Modeling of Groundwater and Geothermal Systems written by Jochen Bundschuh and published by CRC Press. This book was released on 2010-07-05 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the scientific fundamentals of groundwater and geothermal systems. In a simple and didactic manner the different water and energy problems existing in deformable porous rocks are explained as well as the corresponding theories and the mathematical and numerical tools that lead to modeling and solving them. This

Introduction to Groundwater Modeling

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

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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

Effective Groundwater Model Calibration

Author : Mary C. Hill
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.

Applied Groundwater Modeling

Author : Mary P. Anderson
Publisher : Academic Press
ISBN 13 : 0080916384
Total Pages : 632 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 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

Modeling, Control and Optimization of Water Systems

Author : Thomas Rauschenbach
Publisher : Springer
ISBN 13 : 3642160263
Total Pages : 308 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Modeling, Control and Optimization of Water Systems by : Thomas Rauschenbach

Download or read book Modeling, Control and Optimization of Water Systems written by Thomas Rauschenbach and published by Springer. This book was released on 2015-12-14 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides essential background knowledge on the development of model-based real-world solutions in the field of control and decision making for water systems. It presents system engineering methods for modelling surface water and groundwater resources as well as water transportation systems (rivers, channels and pipelines). The models in turn provide information on both the water quantity (flow rates, water levels) of surface water and groundwater and on water quality. In addition, methods for modelling and predicting water demand are described. Sample applications of the models are presented, such as a water allocation decision support system for semi-arid regions, a multiple-criteria control model for run-of-river hydropower plants, and a supply network simulation for public services.

Mathematical Modeling of Earth's Dynamical Systems

Author : Rudy Slingerland
Publisher : Princeton University Press
ISBN 13 : 1400839114
Total Pages : 246 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Mathematical Modeling of Earth's Dynamical Systems by : Rudy Slingerland

Download or read book Mathematical Modeling of Earth's Dynamical Systems written by Rudy Slingerland and published by Princeton University Press. This book was released on 2011-03-28 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise guide to representing complex Earth systems using simple dynamic models Mathematical Modeling of Earth's Dynamical Systems gives earth scientists the essential skills for translating chemical and physical systems into mathematical and computational models that provide enhanced insight into Earth's processes. Using a step-by-step method, the book identifies the important geological variables of physical-chemical geoscience problems and describes the mechanisms that control these variables. This book is directed toward upper-level undergraduate students, graduate students, researchers, and professionals who want to learn how to abstract complex systems into sets of dynamic equations. It shows students how to recognize domains of interest and key factors, and how to explain assumptions in formal terms. The book reveals what data best tests ideas of how nature works, and cautions against inadequate transport laws, unconstrained coefficients, and unfalsifiable models. Various examples of processes and systems, and ample illustrations, are provided. Students using this text should be familiar with the principles of physics, chemistry, and geology, and have taken a year of differential and integral calculus. Mathematical Modeling of Earth's Dynamical Systems helps earth scientists develop a philosophical framework and strong foundations for conceptualizing complex geologic systems. Step-by-step lessons for representing complex Earth systems as dynamical models Explains geologic processes in terms of fundamental laws of physics and chemistry Numerical solutions to differential equations through the finite difference technique A philosophical approach to quantitative problem-solving Various examples of processes and systems, including the evolution of sandy coastlines, the global carbon cycle, and much more Professors: A supplementary Instructor's Manual is available for this book. It is restricted to teachers using the text in courses. For information on how to obtain a copy, refer to: http://press.princeton.edu/class_use/solutions.html

Water Engineering Modeling and Mathematic Tools

Author : Pijush Samui
Publisher : Elsevier
ISBN 13 : 0128208775
Total Pages : 592 pages
Book Rating : 4.1/5 (282 download)

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Book Synopsis Water Engineering Modeling and Mathematic Tools by : Pijush Samui

Download or read book Water Engineering Modeling and Mathematic Tools written by Pijush Samui and published by Elsevier. This book was released on 2021-02-05 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Water Engineering Modeling and Mathematic Tools provides an informative resource for practitioners who want to learn more about different techniques and models in water engineering and their practical applications and case studies. The book provides modelling theories in an easy-to-read format verified with on-site models for specific regions and scenarios. Users will find this to be a significant contribution to the development of mathematical tools, experimental techniques, and data-driven models that support modern-day water engineering applications. Civil engineers, industrialists, and water management experts should be familiar with advanced techniques that can be used to improve existing systems in water engineering. This book provides key ideas on recently developed machine learning methods and AI modelling. It will serve as a common platform for practitioners who need to become familiar with the latest developments of computational techniques in water engineering. - Includes firsthand experience about artificial intelligence models, utilizing case studies - Describes biological, physical and chemical techniques for the treatment of surface water, groundwater, sea water and rain/snow - Presents the application of new instruments in water engineering

Groundwater Modelling

Author : W. Kinzelbach
Publisher : Elsevier
ISBN 13 : 0080870163
Total Pages : 345 pages
Book Rating : 4.0/5 (88 download)

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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 345 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.

Ground Water Models

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309039932
Total Pages : 320 pages
Book Rating : 4.3/5 (9 download)

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Book Synopsis Ground Water Models by : National Research Council

Download or read book Ground Water Models written by National Research Council and published by National Academies Press. This book was released on 1990-02-01 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: The discovery of toxic pollution at Love Canal brought ground water contamination to the forefront of public attention. Since then, ground water science and modeling have become increasingly important in evaluating contamination, setting regulations, and resolving liability issues in court. A clearly written explanation of ground water processes and modeling, Ground Water Models focuses on the practical aspects of model application. It: examines the role of models in regulation, litigation, and policy development; explains ground water processes and describes specific applications for models; presents emerging technologies; and offers specific recommendations for better use of ground water science in policy formation.

Groundwater Modeling

Author : Paul Van der Heijde
Publisher :
ISBN 13 :
Total Pages : 260 pages
Book Rating : 4.3/5 ( download)

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Book Synopsis Groundwater Modeling by : Paul Van der Heijde

Download or read book Groundwater Modeling written by Paul Van der Heijde and published by . This book was released on 1989 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Aquifer Test Modeling

Author : William C. Walton
Publisher : CRC Press
ISBN 13 : 9781420042924
Total Pages : 248 pages
Book Rating : 4.0/5 (429 download)

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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.