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.

Download or read book Mathematical Analysis of Groundwater Resources written by Bruce Hunt and published by Elsevier. This book was released on 2016-01-22 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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.

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.

Download or read book Optimal Management of Flow in Groundwater Systems written by David P. Ahlfeld and published by Academic Press. This book was released on 2000-01-10 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: CD-ROM contains: Complete FORTRAN source code for MODOFC -- Executable compiled using the Lahey F77L-EM/32 FORTRAN 77 Compiler -- Documentatiion for MODOFC -- Sample problems -- HTML files from the MODOFC Web site.

Download or read book Groundwater Models for Resources Analysis and Management written by Aly I. El-Kadi and published by CRC Press. This book was released on 1995-03-23 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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.

Download or read book The Double Constraint Inversion Methodology written by Wouter Zijl and published by Springer. This book was released on 2017-12-26 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: ​This book describes a novel physics-based approach to inverse modeling that makes use of the properties of the equations governing the physics of the processes under consideration. It focuses on the inverse problems occurring in hydrogeology, but the approach is also applicable to similar inverse problems in various other fields, such as petroleum-reservoir engineering, geophysical and medical imaging, weather forecasting, and flood prediction. This approach takes into consideration the physics – for instance, the boundary conditions required to obtain a well-posed mathematical problem – to help avoid errors in model building and therefore enhance the reliability of the results. In addition, this method requires less computation time and less computer memory. The theory is presented in a comprehensive, not overly mathematical, way, with three practice-oriented hydrogeological case studies and a comparison with the conventional approach illustrating the power of the method. Forward and Inverse Modeling of Groundwater Flow is of use to researchers and graduate students in the fields of hydrology, as well as to professional hydrologists within industry. It also appeals to geophysicists and those working in or studying petroleum reservoir modeling and basin modeling.

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.

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

Download or read book Groundwater Updates written by K. Sato and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: Groundwater is essential to life and to maintaining Earth's water cycle. In the face of growing threats to this invaluable resource, recent advances in research and analysis - notably in numerical simulation and data processing with computers - are bringing rapid changes in dynamic methodology for groundwater management and modeling. This book contains the latest updates from the field of groundwater science and engineering, organized around five major topics: Optimization of groundwater resources in basins, Groundwater pollution and remediation technologies, Underground development and groundwater technologies, Interaction between surface and subsurface water, and Reliability of numerical methods and scaling in geohydraulics. This collection of more than 80 papers by leading specialists provides a valuable source of information for researchers, engineers, and students in the field of groundwater resources and management.

Download or read book Guidelines for Evaluating Ground water Flow Models written by Thomas E. Reilly and published by DIANE Publishing. This book was released on 2004 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Download or read book Modelling and Simulation of Diffusive Processes written by S.K. Basu and published by Springer Science & Business Media. This book was released on 2014-04-15 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the key issues in the modeling and simulation of diffusive processes from a wide spectrum of different applications across a broad range of disciplines. Features: discusses diffusion and molecular transport in living cells and suspended sediment in open channels; examines the modeling of peristaltic transport of nanofluids, and isotachophoretic separation of ionic samples in microfluidics; reviews thermal characterization of non-homogeneous media and scale-dependent porous dispersion resulting from velocity fluctuations; describes the modeling of nitrogen fate and transport at the sediment-water interface and groundwater flow in unconfined aquifers; investigates two-dimensional solute transport from a varying pulse type point source and futile cycles in metabolic flux modeling; studies contaminant concentration prediction along unsteady groundwater flow and modeling synovial fluid flow in human joints; explores the modeling of soil organic carbon and crop growth simulation.

Download or read book Hydrogeology and Groundwater Modeling written by Neven Kresic and published by CRC Press. This book was released on 1997-03-24 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantitative Solutions in Hydrogeology and Groundwater Modeling addresses and solves a variety of questions and problems from hydrogeological practice. It includes major aspects of quantitative groundwater evaluation, from basic laboratory determination of hydrogeological parameters to complex analytical calculations and modeling for engineering purposes. Groundwater modeling is a strong trend in hydrogeology. Recent years have seen the rapid development of sophisticated and powerful groundwater models, along with a decrease in the use of the more mathematically demanding analytical quantitative solutions. Quantitative Solutions in Hydrogeology and Groundwater Modeling avoids this conflict by explaining both modeling and mathematical solutions in detail.

Download or read book Groundwater Hydrology written by K. R. Rushton and published by John Wiley & Sons. This book was released on 2004-02-06 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Groundwater is a vital source of water throughout the world. As the number of groundwater investigations increase, it is important to understand how to develop comprehensive quantified conceptual models and appreciate the basis of analytical solutions or numerical methods of modelling groundwater flow. Groundwater Hydrology: Conceptual and Computational Models describes advances in both conceptual and numerical modelling. It gives insights into the interpretation of field information, the development of conceptual models, the use of computational models based on analytical and numerical techniques, the assessment of the adequacy of models, and the use of computational models for predictive purposes. It focuses on the study of groundwater flow problems and a thorough analysis of real practical field case studies. It is divided into three parts: * Part I deals with the basic principles, including a summary of mathematical descriptions of groundwater flow, recharge estimation using soil moisture balance techniques, and extensive studies of groundwater-surface water interactions. * Part II focuses on the concepts and methods of analysis for radial flow to boreholes including topics such as large diameter wells, multi-layered aquifer systems, aquitard storage and the prediction of long-term yield. * Part III examines regional groundwater flow including situations when vertical flows are important or transmissivities change with saturated depth. Suitable for practising engineers, hydrogeologists, researchers in groundwater and irrigation, mathematical modellers, groundwater scientists, and water resource specialists. Appropriate for upper level undergraduates and MSc students in Departments of Civil Engineering, Environmental Engineering, Earth Science and Physical Geography. It would also be useful for hydrologists, civil engineers, physical geographers, agricultural engineers, consultancy firms involved in water resource projects, and overseas development workers.

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.