Mathematical Analysis Of Groundwater Flow Models

Author : Abdon Atangana
Publisher : CRC Press
Page : 351 pages
File Size : 54,8 Mb
Release : 2022-03-22
Category : Technology & Engineering
ISBN : 9781000545753

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Mathematical Analysis of Groundwater Flow Models by Abdon Atangana Pdf

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.

Author : Abdon Atangana
Publisher : CRC Press
Page : 635 pages
File Size : 42,7 Mb
Release : 2022-03-22
Category : Technology & Engineering
ISBN : 9781000545746

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Mathematical Analysis of Groundwater Flow Models by Abdon Atangana Pdf

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.

Author : Bruce Hunt
Publisher : Elsevier
Page : 280 pages
File Size : 41,6 Mb
Release : 2016-01-22
Category : Science
ISBN : 9781483103075

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Mathematical Analysis of Groundwater Resources by Bruce Hunt Pdf

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.

Author : Wouter Zijl,Florimond De Smedt,Mustafa El-Rawy,Okke Batelaan
Publisher : Springer
Page : 101 pages
File Size : 53,5 Mb
Release : 2017-12-26
Category : Science
ISBN : 9783319713427

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The Double Constraint Inversion Methodology by Wouter Zijl,Florimond De Smedt,Mustafa El-Rawy,Okke Batelaan Pdf

​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.

Author : Ne-Zheng Sun,Alexander Sun
Publisher : Springer Science & Business Media
Page : 391 pages
File Size : 49,9 Mb
Release : 2014-07-08
Category : Technology & Engineering
ISBN : 9781475725582

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Mathematical Modeling of Groundwater Pollution by Ne-Zheng Sun,Alexander Sun Pdf

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.

Author : Mary C. Hill,Claire R. Tiedeman
Publisher : John Wiley & Sons
Page : 475 pages
File Size : 47,6 Mb
Release : 2006-08-25
Category : Technology & Engineering
ISBN : 9780470041079

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Effective Groundwater Model Calibration by Mary C. Hill,Claire R. Tiedeman Pdf

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.

Author : Aly I. El-Kadi
Publisher : CRC Press
Page : 384 pages
File Size : 53,8 Mb
Release : 2017-11-22
Category : Technology & Engineering
ISBN : 9781351443890

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Groundwater Models for Resources Analysis and Management by Aly I. El-Kadi Pdf

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.

Author : W. Kinzelbach
Publisher : Elsevier
Page : 332 pages
File Size : 47,7 Mb
Release : 1986-01-01
Category : Computers
ISBN : 0080870163

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Groundwater Modelling by W. Kinzelbach Pdf

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.

Author : Jacob Bear
Publisher : Unknown
Page : 12 pages
File Size : 49,6 Mb
Release : 1992
Category : Groundwater
ISBN : MINN:31951D00762214D

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Fundamentals of Ground-water Modeling by Jacob Bear Pdf

Author : Neven Kresic
Publisher : CRC Press
Page : 828 pages
File Size : 50,5 Mb
Release : 2006-10-26
Category : Science
ISBN : 9781420004991

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Hydrogeology and Groundwater Modeling by Neven Kresic Pdf

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

Author : Mary P. Anderson,William W. Woessner
Publisher : Gulf Professional Publishing
Page : 403 pages
File Size : 42,5 Mb
Release : 1992
Category : Computers
ISBN : 9780120594856

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Applied Groundwater Modeling by Mary P. Anderson,William W. Woessner Pdf

Creating numerical groundwater models of field problems requires careful attention to describing the problem domain, selecting boundary conditions, assigning model parameters, and calibrating the model. This unique text describes the science and art of applying numerical models of groundwater flow and advective transport of solutes. Explains how to formulate a conceptual model of a system and how to translate it into a numerical model Includes the application of modeling principles with special attention to the finite difference flow codes PLASM and MODFLOW, and the finite-element code AQUIFEM-1 Covers model calibration, verification, and validation Discusses pathline analysis for tracking contaminants with reference to newly developed particle tracking codes Makes extensive use of case studies and problems

Author : S.K. Basu,Naveen Kumar
Publisher : Springer Science & Business Media
Page : 372 pages
File Size : 42,9 Mb
Release : 2014-04-15
Category : Computers
ISBN : 9783319056579

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Modelling and Simulation of Diffusive Processes by S.K. Basu,Naveen Kumar Pdf

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.

Author : Myron B. Allen, III
Publisher : John Wiley & Sons
Page : 226 pages
File Size : 52,7 Mb
Release : 2021-06-22
Category : Mathematics
ISBN : 9781119663843

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The Mathematics of Fluid Flow Through Porous Media by Myron B. Allen, III Pdf

Master the techniques necessary to build and use computational models of porous media fluid flow In The Mathematics of Fluid Flow Through Porous Media, distinguished professor and mathematician Dr. Myron B. Allen delivers a one-stop and mathematically rigorous source of the foundational principles of porous medium flow modeling. The book shows readers how to design intelligent computation models for groundwater flow, contaminant transport, and petroleum reservoir simulation. Discussions of the mathematical fundamentals allow readers to prepare to work on computational problems at the frontiers of the field. Introducing several advanced techniques, including the method of characteristics, fundamental solutions, similarity methods, and dimensional analysis, The Mathematics of Fluid Flow Through Porous Media is an indispensable resource for students who have not previously encountered these concepts and need to master them to conduct computer simulations. Teaching mastery of a subject that has increasingly become a standard tool for engineers and applied mathematicians, and containing 75 exercises suitable for self-study or as part of a formal course, the book also includes: A thorough introduction to the mechanics of fluid flow in porous media, including the kinematics of simple continua, single-continuum balance laws, and constitutive relationships An exploration of single-fluid flows in porous media, including Darcy’s Law, non-Darcy flows, the single-phase flow equation, areal flows, and flows with wells Practical discussions of solute transport, including the transport equation, hydrodynamic dispersion, one-dimensional transport, and transport with adsorption A treatment of multiphase flows, including capillarity at the micro- and macroscale Perfect for graduate students in mathematics, civil engineering, petroleum engineering, soil science, and geophysics, The Mathematics of Fluid Flow Through Porous Media also belongs on the bookshelves of any researcher who wishes to extend their research into areas involving flows in porous media.

Author : Florimond De Smedt,Wouter Zijl
Publisher : CRC Press
Page : 65 pages
File Size : 43,8 Mb
Release : 2017-11-06
Category : Science
ISBN : 9781351262279

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Two- and Three-Dimensional Flow of Groundwater by Florimond De Smedt,Wouter Zijl Pdf

This monograph is a practical guide to groundwater flow theory intended to serve students and practitioners by bridging the gap between basic hydrogeology and groundwater modeling. It synthesizes the mathematics of groundwater flow and provides information in an easily-accessible format for practicing groundwater professionals, consultants, and students that intend to become skillful and competent groundwater flow modelers.

Author : David P. Ahlfeld,Ann E. Mulligan
Publisher : Academic Press
Page : 208 pages
File Size : 51,9 Mb
Release : 2000-01-10
Category : Mathematics
ISBN : 0120448300

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Optimal Management of Flow in Groundwater Systems by David P. Ahlfeld,Ann E. Mulligan Pdf

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.