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Applied Mathematics in Hydrogeology

Applied Mathematics in Hydrogeology PDF Author: Tien-Chang Lee
Publisher: Routledge
ISBN: 1351465988
Category : Mathematics
Languages : en
Pages : 400

Book Description
As introduced in Dr. Lee's 10-week class, Applied Mathematics in Hydrogeology is written for professionals and graduate students who have a keen interest in the application of mathematics in hydrogeology. Its first seven chapters cover analytical solutions for problems commonly encountered in the study of quantitative hydrogeology, while the final three chapters focus on solving linear simultaneous equations, finite element analysis, and inversion for parameter determination. Dr. Lee provides various equation-solving methods that are of interest to hydrogeologists, geophysicists, soil scientists, and civil engineers, as well as applied physicists and mathematicians. In the classroom, this same information will help students realize how familiar equations in hydrogeology are derived-an important step toward development of a student's own mathematical models. Unlike other applied mathematics books that are structured according to systematic methodology, Applied Mathematics in Hydrogeology emphasizes equation-solving methods according to topics. Hydrogeological problems and governing differential equations are introduced, including hydraulic responses to pumping in confined and unconfined aquifers, as well as transport of heat and solute in flowing groundwater.

Applied Mathematics in Hydrogeology

Applied Mathematics in Hydrogeology PDF Author: Tien-Chang Lee
Publisher: Routledge
ISBN: 1351465988
Category : Mathematics
Languages : en
Pages : 400

Book Description
As introduced in Dr. Lee's 10-week class, Applied Mathematics in Hydrogeology is written for professionals and graduate students who have a keen interest in the application of mathematics in hydrogeology. Its first seven chapters cover analytical solutions for problems commonly encountered in the study of quantitative hydrogeology, while the final three chapters focus on solving linear simultaneous equations, finite element analysis, and inversion for parameter determination. Dr. Lee provides various equation-solving methods that are of interest to hydrogeologists, geophysicists, soil scientists, and civil engineers, as well as applied physicists and mathematicians. In the classroom, this same information will help students realize how familiar equations in hydrogeology are derived-an important step toward development of a student's own mathematical models. Unlike other applied mathematics books that are structured according to systematic methodology, Applied Mathematics in Hydrogeology emphasizes equation-solving methods according to topics. Hydrogeological problems and governing differential equations are introduced, including hydraulic responses to pumping in confined and unconfined aquifers, as well as transport of heat and solute in flowing groundwater.

Transport Modeling in Hydrogeochemical Systems

Transport Modeling in Hydrogeochemical Systems PDF Author: J.David Logan
Publisher: Springer Science & Business Media
ISBN: 1475735189
Category : Science
Languages : en
Pages : 228

Book Description
This textbook develops the basic ideas of transport models in hydrogeology, including diffusion-dispersion processes, advection, and adsorption or reaction. The book serves as an excellent text or supplementary reading in courses in applied mathematics, contaminant hydrology, ground water modeling, or hydrogeology.

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

Fractional Operators with Constant and Variable Order with Application to Geo-hydrology PDF Author: Abdon Atangana
Publisher: Academic Press
ISBN: 0128097965
Category : Mathematics
Languages : en
Pages : 416

Book Description
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

The Double Constraint Inversion Methodology

The Double Constraint Inversion Methodology PDF Author: Wouter Zijl
Publisher: Springer
ISBN: 3319713426
Category : Science
Languages : en
Pages : 109

Book Description
​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.

Mathematical Methods for Surface and Subsurface Hydrosystems

Mathematical Methods for Surface and Subsurface Hydrosystems PDF Author: Deguan Wang
Publisher: World Scientific
ISBN: 9812707522
Category : Mathematics
Languages : en
Pages : 241

Book Description
With the increasing awareness of the heavy burden placed on environmental resources and the need for industry and public institutions to cope with more stringent regulations, this timely book focuses on some specific, but very important, environmental problems, namely, surface and subsurface hydrosystems. Covering state-of-the-art techniques to model such systems, the volume will be of great benefit to all researchers in applied mathematics and environmental engineering.

Logistics and Benefits of Using Mathematical Models of Hydrologic and Water Resource Systems

Logistics and Benefits of Using Mathematical Models of Hydrologic and Water Resource Systems PDF Author: A.J. Askew
Publisher: Elsevier
ISBN: 1483189589
Category : Science
Languages : en
Pages : 267

Book Description
Logistics and Benefits of Using Mathematical Models of Hydrologic and Water Resource Systems is a collection of paper that details the experiences in the operational and logistical aspects of utilizing water resource models. The title provides the general report on model structure and classification; experiences of the hydrologic engineering center in maintaining widely used hydrologic and water resource computer models; and the operational experience of on-line hydrological simulation. The selection also covers the implementation and application of a suite for the simulation of complex water resource systems in evaluation and planning studies; and the use of a groundwater model in the design, performance; and the assessment, and operation of a river regulation scheme. The book will be of great use to researchers and practitioners of hydrological sciences.

Applied Hydrogeology

Applied Hydrogeology PDF Author: C. W. Fetter
Publisher:
ISBN: 9781292022901
Category : Hydrogeology
Languages : en
Pages : 614

Book Description
The text is designed for advanced undergraduate or beginning graduate-level courses in hydrology, groundwater hydrology, hydrogeology, and civil engineering. This best selling text gives students a balanced examination of all facets of hydrogeology. The text stresses the application of mathematics to problem solving rather than derivation of theory. It provides a balance between physical and chemical hydrogeology. Numerous case studies cultivate student understanding of the occurrence and movement of ground water in a variety of geologic settings.

Transport Modeling in Hydrogeochemical Systems

Transport Modeling in Hydrogeochemical Systems PDF Author: J.David Logan
Publisher: Springer
ISBN: 9780387952765
Category : Science
Languages : en
Pages : 226

Book Description
This textbook develops the basic ideas of transport models in hydrogeology, including diffusion-dispersion processes, advection, and adsorption or reaction. The book serves as an excellent text or supplementary reading in courses in applied mathematics, contaminant hydrology, ground water modeling, or hydrogeology.

Groundwater Science

Groundwater Science PDF Author: Charles R. Fitts
Publisher: Academic Press
ISBN: 0128114568
Category : Science
Languages : en
Pages : 682

Book Description
Groundwater Science, Third Edition covers physical and chemical aspects of groundwater science, with emphasis on applications in the hydrologic cycle and in water supply, including contamination, mining, and construction issues. This interdisciplinary text weaves important methods and applications from the disciplines of physics, chemistry, mathematics, geology, biology, and environmental science, introducing the mathematical modeling of groundwater flow and contaminant transport. This fully updated edition includes all new case studies, expanded ancillary materials (including software), and expanded problems. The book is a valuable resource for students and instructors in the geosciences, environmental sciences, and civil engineering with a focus on hydrology and hydrogeology. Offers discussions of groundwater modeling, calibration, parameter estimation, and uncertainty Includes content on well construction and design, surface water hydrology, groundwater/ surface water interaction, slug tests, pumping tests, and mounding analysis Provides free software tools for slug test analysis, pumping test analysis, heat flow analysis, groundwater flow modeling, and solute transport modeling—all fully updated and expanded in the new edition Includes lists of key terms and chapter contents at the start of each chapter, as well as end-of-chapter problems, including conceptual questions and all new concepts for labs in the new edition Includes additional government reports as case studies with exercises and labs built around them, as well as more case studies highlighting examples of conjunctive water use issues

Introduction to the Numerical Modeling of Groundwater and Geothermal Systems

Introduction to the Numerical Modeling of Groundwater and Geothermal Systems PDF Author: Jochen Bundschuh
Publisher: CRC Press
ISBN: 0203848101
Category : Mathematics
Languages : en
Pages : 522

Book Description
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