Mathematical Analysis of Groundwater Resources
Mathematical Analysis of Groundwater Resources

Author: Bruce Hunt

Publisher: Elsevier

Published: 2016-01-22

Total Pages: 280

ISBN-13: 1483103072

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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
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 Modeling of Groundwater Pollution
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.

Modeling Groundwater Flow and Contaminant Transport
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.

Mathematical Analysis of Groundwater Flow Models
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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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.

Water Resources Systems Analysis
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

Groundwater Resource Development
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.

Applied Groundwater Modeling
Applied Groundwater Modeling

Author: Mary P. Anderson

Publisher: Academic Press

Published: 2015-08-13

Total Pages: 632

ISBN-13: 0080916384

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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

Introduction to the Numerical Modeling of Groundwater and Geothermal Systems
Introduction to the Numerical Modeling of Groundwater and Geothermal Systems

Author: Jochen Bundschuh

Publisher: CRC Press

Published: 2010-07-05

Total Pages: 522

ISBN-13: 0203848101

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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