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Mathematical Analysis of Groundwater Resources

Author: Bruce Hunt

Publisher: Elsevier

Published: 2016-01-22

Total Pages: 280

ISBN-13: 1483103072

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.

Mathematical Analysis of Groundwater Flow Models

Author: Abdon Atangana

Publisher: CRC Press

Published: 2022-03-22

Total Pages: 351

ISBN-13: 100054575X

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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 Analysis of Groundwater Flow Models

Author: Abdon Atangana

Publisher: CRC Press

Published: 2022-03-22

Total Pages: 635

ISBN-13: 1000545741

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Mathematical Modeling of Groundwater Pollution

Author: Ne-Zheng Sun

Publisher: Springer Science & Business Media

Published: 2014-07-08

Total Pages: 391

ISBN-13: 1475725582

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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.

Groundwater Resource Development

Author: L Hamill

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 353

ISBN-13: 148316313X

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Groundwater Resource Development describes the basic steps involved in the development of a groundwater resource in the search for productive aquifers. This book discusses groundwater exploration, construction and testing of water wells, water quality and pollution considerations, and groundwater management. This text is comprised of 10 chapters and begins by presenting the steps in the evaluation, development, and management of an aquifer for water supply. The reader is then introduced to the fundamentals of groundwater, with emphasis on their origin and occurrence as well as the influence of porosity and permeability on groundwater accumulation, migration, and distribution. The chapters that follow focus on groundwater exploration, assessment of aquifer recharge and potential well yield, and factors affecting the quality of groundwater. The issues to be considered in well design and construction are also highlighted, along with aquifer hydraulics and pumping tests, groundwater pollution, and optimum management of groundwater resources. This text concludes with a chapter on techniques used in modeling the response of a groundwater reservoir. This book will be of value to geologists, civil engineers, environmental scientists, mathematicians, chemists, water well contractors, and others involved in the profession of water engineering.

Hydrogeology and Groundwater Modeling, Second Edition

Author: Neven Kresic

Publisher: CRC Press

Published: 2006-10-26

Total Pages: 836

ISBN-13: 9780849333484

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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 fills a gap in the groundwater hydrogeology literature. With more than 40 real-world examples, the book is a source for clear, easy-to-understand, and step-by-step quantitative groundwater evaluation and contaminant fate and transport analysis, from basic laboratory determination to complex analytical calculations and computer modeling. It provides more than 400 drawings, graphs, and photographs, and a variety of useful tables of all key groundwater parameters, as well as lucid, straightforward answers to common hydrogeological problems. Reflecting nearly ten years of new scholarship since the publication of the bestselling first edition, this second edition is wider in focus with added and updated examples, figures, and problems, yet still provides information in the author's trademark, user-friendly style. No other book offers such carefully selected examples and clear, elegantly explained solutions. The inclusion of step-by-step solutions to real problems builds a knowledge base for understanding and solving groundwater issues.

Water Resources Systems Analysis

Author: Mohammad Karamouz

Publisher: CRC Press

Published: 2003-06-27

Total Pages: 608

ISBN-13: 0203499433

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Focusing on conflict resolution, Water Resources Systems Analysis discusses systematic approaches to the mathematical modeling of various water resources issues, which helps decision-makers allocate water effectively and efficiently. Readers will gain an understanding of simulation, optimization, multi-criterion-decision-making, as well as engineer

Applied Mathematics in Hydrogeology

Author: Tien-Chang Lee

Publisher: Routledge

Published: 2019-01-22

Total Pages: 193

ISBN-13: 135146597X

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As introduced in Dr. Lee's 10-week class, Applied Mathematics in Hydrogeology is written for professionals and graduate students who have a keen interest in the application of mathematics in hydrogeology. Its first seven chapters cover analytical solutions for problems commonly encountered in the study of quantitative hydrogeology, while the final three chapters focus on solving linear simultaneous equations, finite element analysis, and inversion for parameter determination. Dr. Lee provides various equation-solving methods that are of interest to hydrogeologists, geophysicists, soil scientists, and civil engineers, as well as applied physicists and mathematicians. In the classroom, this same information will help students realize how familiar equations in hydrogeology are derived-an important step toward development of a student's own mathematical models. Unlike other applied mathematics books that are structured according to systematic methodology, Applied Mathematics in Hydrogeology emphasizes equation-solving methods according to topics. Hydrogeological problems and governing differential equations are introduced, including hydraulic responses to pumping in confined and unconfined aquifers, as well as transport of heat and solute in flowing groundwater.

Modeling Groundwater Flow and Contaminant Transport

Author: Jacob Bear

Publisher: Springer Science & Business Media

Published: 2010-01-18

Total Pages: 851

ISBN-13: 1402066821

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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.

Groundwater Science

Author: Charles R. Fitts

Publisher: Academic Press

Published: 2012-11-05

Total Pages: 697

ISBN-13: 0123847060

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Groundwater Science, Second Edition — winner of a 2014 Textbook Excellence Award (Texty) from The Text and Academic Authors Association — covers groundwater's role in the hydrologic cycle and in water supply, contamination, and construction issues. It is a valuable resource for students and instructors in the geosciences (with focuses in hydrology, hydrogeology, and environmental science), and as a reference work for professional researchers. This interdisciplinary text weaves important methods and applications from the disciplines of physics, chemistry, mathematics, geology, biology, and environmental science, introducing you to the mathematical modeling and contaminant flow of groundwater. New to the Second Edition: New chapter on subsurface heat flow and geothermal systems Expanded content on well construction and design, surface water hydrology, groundwater/ surface water interaction, slug tests, pumping tests, and mounding analysis. Updated discussions of groundwater modeling, calibration, parameter estimation, and uncertainty Free software tools for slug test analysis, pumping test analysis, and aquifer modeling Lists of key terms and chapter contents at the start of each chapter Expanded end-of-chapter problems, including more conceptual questions Winner of a 2014 Texty Award from the Text and Academic Authors Association Features two-color figures Includes homework problems at the end of each chapter and worked examples throughout Provides a companion website with videos of field exploration and contaminant migration experiments, PDF files of USGS reports, and data files for homework problems Offers PowerPoint slides and solution manual for adopting faculty