Mathematical Analysis of Groundwater Flow Models

Mathematical Analysis of Groundwater Flow Models PDF

Author: Abdon Atangana

Publisher: CRC Press

Published: 2022-03-22

Total Pages: 351

ISBN-13: 100054575X

DOWNLOAD EBOOK →

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 PDF

Author: Ne-Zheng Sun

Publisher: Springer Science & Business Media

Published: 2014-07-08

Total Pages: 391

ISBN-13: 1475725582

DOWNLOAD EBOOK →

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 Resources

Mathematical Analysis of Groundwater Resources PDF

Author: Bruce Hunt

Publisher: Elsevier

Published: 2016-01-22

Total Pages: 280

ISBN-13: 1483103072

DOWNLOAD EBOOK →

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 PDF

Author: Abdon Atangana

Publisher: CRC Press

Published: 2022-03-22

Total Pages: 635

ISBN-13: 1000545741

DOWNLOAD EBOOK →

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.

Modeling Groundwater Flow and Pollution

Modeling Groundwater Flow and Pollution PDF

Author: Jacob Bear

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 426

ISBN-13: 9400933797

DOWNLOAD EBOOK →

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.

Analytic Element Modeling of Groundwater Flow

Analytic Element Modeling of Groundwater Flow PDF

Author: H. M. Haitjema

Publisher: Elsevier

Published: 1995-09-20

Total Pages: 394

ISBN-13: 9780080499109

DOWNLOAD EBOOK →

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.

Groundwater Models for Resources Analysis and Management

Groundwater Models for Resources Analysis and Management PDF

Author: Aly I. El-Kadi

Publisher: CRC Press

Published: 2017-11-22

Total Pages: 384

ISBN-13: 1351443895

DOWNLOAD EBOOK →

Written by renowned experts in the field, this book assesses the status of groundwater models and defines models and modeling needs in the 21st century. It reviews the state of the art in model development and application in regional groundwater management, unsaturated flow/multiphase flow and transport, island modeling, biological and virus transport, and fracture flow. Both deterministic and stochastic aspects of unsaturated flow and transport are covered. The book also introduces a unique assessment of models as analysis and management tools for groundwater resources. Topics covered include model vs. data uncertainty, accuracy of the dispersion/convection equation, protocols for model testing and validation, post-audit studies, and applying models to karst aquifers.

Effective Groundwater Model Calibration

Effective Groundwater Model Calibration PDF

Author: Mary C. Hill

Publisher: John Wiley & Sons

Published: 2006-08-25

Total Pages: 475

ISBN-13: 0470041072

DOWNLOAD EBOOK →

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.

Modeling Groundwater Flow and Contaminant Transport

Modeling Groundwater Flow and Contaminant Transport PDF

Author: Jacob Bear

Publisher: Springer Science & Business Media

Published: 2010-01-18

Total Pages: 851

ISBN-13: 1402066821

DOWNLOAD EBOOK →

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.