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 Pollution
Modeling Groundwater Flow and Pollution

Author: Jacob Bear

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 426

ISBN-13: 9400933797

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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system, an aquifer, or a system of aquifers, means making such decisions as to the total quantity of water to be withdrawn annually, the location of wells for pumping and for artificial recharge and their rates, and control conditions at aquifer boundaries.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.

Numerical Models in Groundwater Pollution
Numerical Models in Groundwater Pollution

Author: Karel Kovarik

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 240

ISBN-13: 364256982X

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Mathematical models are powerful tools used in the prediction of pollutant movement. This book discusses the Finite Element Method (FEM) and Boundary Element Method (BEM), and takes a look at the advantages of these methods in groundwater hydrology. The combination of the BEM and the random-walk particle tracking method is also presented. The book includes computer programs, source code, and examples developed on the basis of the theoretical backgrounds of these methods. These Visual C++ programs are compatible with the Windows platform.

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: 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.

Water Pollution: Modelling, Measuring and Prediction
Water Pollution: Modelling, Measuring and Prediction

Author: C.A. Wrobel

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 720

ISBN-13: 9401136947

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Water Pollution is a subject of growing concern in our industrial world. The environmental problems caused by the increase of pollutant loads dis charged into natural water systems have led the scientific community to pursue studies capable of relating the pollutant discharge with changes in the water quality. The results of these studies are permitting industries to employ more efficient methods of controlling and treating the waste loads, and water authorities to enforce more strict legislation regarding this matter. The present book contains edited versions of the papers presented at the First International Conference on Water Pollution (Modelling, Measuring and Prediction), held in Southampton, England, in September 1991. Its contents, which reflect the interdisciplinarity of the subject, are divided into four parts, each consisting of a keynote address and several invited and contributed papers: 1. Mathematical models (Keynote speaker: Prof. R.A. Falconer, Univer sity of Bradford, USA) 2. Data acquisition/monitoring/measurement (Keynote speaker: Dr. A. Plata Bedmar, IAEA, Austria) 3. Waste disposal and wastewater treatment (Keynote speaker: Prof. D.R.F. Harleman, MIT, USA) 4. Chemical and biological problems (Keynote speaker: Dr. E.I. Hamil ton, Environmental consultant, UK) Although the papers have been typographically edited they have been re produced directly from material submitted by the authors, and their content is a reflection of the authors' research and opinion.

Numerical Models in Groundwater Pollution
Numerical Models in Groundwater Pollution

Author: Karel Kovarik

Publisher: Springer Science & Business Media

Published: 2000-04-14

Total Pages: 240

ISBN-13: 9783540667926

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Mathematical models are powerful tools used in the prediction of pollutant movement. This book discusses the Finite Element Method (FEM) and Boundary Element Method (BEM), and takes a look at the advantages of these methods in groundwater hydrology. The combination of the BEM and the random-walk particle tracking method is also presented. The book includes computer programs, source code, and examples developed on the basis of the theoretical backgrounds of these methods. These Visual C++ programs are compatible with the Windows platform.

Fractional Operators with Constant and Variable Order with Application to Geo-hydrology
Fractional Operators with Constant and Variable Order with Application to Geo-hydrology

Author: Abdon Atangana

Publisher: Academic Press

Published: 2017-09-19

Total Pages: 416

ISBN-13: 0128097965

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Fractional Operators with Constant and Variable Order with Application to Geo-hydrology provides a physical review of fractional operators, fractional variable order operators, and uncertain derivatives to groundwater flow and environmental remediation. It presents a formal set of mathematical equations for the description of groundwater flow and pollution problems using the concept of non-integer order derivative. Both advantages and disadvantages of models with fractional operators are discussed. Based on the author's analyses, the book proposes new techniques for groundwater remediation, including guidelines on how chemical companies can be positioned in any city to avoid groundwater pollution. - Proposes new aquifer derivatives for leaky, confined and unconfined formations - Presents useful aids for applied scientists and engineers seeking to solve complex problems that cannot be handled using constant fractional order derivatives - Provides a real physical interpretation of operators relevant to groundwater flow problems - Models both fractional and variable order derivatives, presented together with uncertainties analysis

Groundwater Transport
Groundwater Transport

Author: Iraj Javandel

Publisher: American Geophysical Union

Published: 1984

Total Pages: 240

ISBN-13:

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Published by the American Geophysical Union as part of the Water Resources Monograph Series, Volume 10. Concerns over groundwater pollution have resulted in the passage of legislation during the last decade calling for pollution control and remedial measures to ensure proper drinking water quality. There are two main types of groundwater pollution caused by man: (1) pollution caused by the use of pesticides, herbicides, and fertilizers over agricultural lands, where the source of contamination covers a relatively large area, and (2) pollution caused by industries and municipalities, which is generally more localized. For the second type, because the contamination in the groundwater is localized, the design of any remedial measure requires knowledge of the extent of the contaminant plume. Various mathematical methods may be used for estimating the size, shape, and development of a localized contaminant plume. It is the need for these mathematical methodologies that forms the main impetus for the preparation of this monograph.

Environmental Hydrology
Environmental Hydrology

Author: V.P. Singh

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 496

ISBN-13: 9401714398

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Environmental Hydrology presents a unified approach to the role of hydrology in environmental planning and management, emphasizing the consideration of the hydrological continuum in determining the fate and migration of chemicals as well as micro-organisms in the environment, both below the ground as well as on it. The eco-hydrological consequences of environmental management are also discussed, and an up-to-date account of the mathematical modeling of pollution is also presented. Audience: Invaluable reading for senior undergraduates and beginning graduates, civil, environmental, and agricultural engineers, and geologists and climatologists.