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This book attempts to combine two separate themes: a description of one of the links in the chain of the water cycle inside the earth's crust i.e., the subsurface flow; and the quantification of the various types of this flow, obtained by applying the principles of fluid mechanics in porous media. The first part is the more descriptive, and geological of the two. It deals with the concept of water resources, which then leads us on to other links in the cycle: rainfall, infiltration, evaporation: runoff, and surface water resources. The second part is necessary to quantify groundwater resources. It points the way to other applications, such as solutions to civil engineering problems including drainage and compaction; and transport problems in porous media, including aquifer pollution by miscible fluids, multiphase flow of immiscible fluids, and heat transfer in porous media, i.e., geothermal problems. However, the qualitative and the quantitative aspects are not treated separately but combined and blended together, just as geology and hydrology are woven together in hydrogeology.
An accessible introduction to the finite element method for solving numeric problems, this volume offers the keys to an important technique in computational mathematics. Suitable for advanced undergraduate and graduate courses, it outlines clear connections with applications and considers numerous examples from a variety of science- and engineering-related specialties.This text encompasses all varieties of the basic linear partial differential equations, including elliptic, parabolic and hyperbolic problems, as well as stationary and time-dependent problems. Additional topics include finite element methods for integral equations, an introduction to nonlinear problems, and considerations of unique developments of finite element techniques related to parabolic problems, including methods for automatic time step control. The relevant mathematics are expressed in non-technical terms whenever possible, in the interests of keeping the treatment accessible to a majority of students.
This book describes the state of the art of the mathematical theory and numerical analysis of imaging. Some of the applications covered in the book include computerized tomography, magnetic resonance imaging, emission tomography, electron microscopy, ultrasound transmission tomography, industrial tomography, seismic tomography, impedance tomography, and NIR imaging.
Climate is a soil-forming factor and soil can mitigate climate change through a reduction in the emissions of greenhouse gases and sequestration of atmospheric CO2. Thus, there is a growing interest in soil management practices capable of mitigating climate change and enhancing environmental quality. Soil and Climate addresses global issues through soil management and outlines strategies for advancing Sustainable Development Goals (SDGs). This volume in the Advances in Soil Science series is specifically devoted to describe state-of-the-knowledge regarding the climate–soil nexus in relation to: Soil Processes: weathering, decomposition of organic matter, erosion, leaching, salinization, biochemical, transformations, gaseous flux, and elemental cycling, Soil Properties: physical, chemical, biological, and ecological, Atmospheric Chemistry: gaseous concentrations of (CO2, CH4, N2O), water vapors, soot, dust, and particulate matter, Mitigation and Adaptation: source and sink of GHGs (CO2, CH4, N2O), land use and soil management, soil C sink capacity, permafrost, Soil Management: sequestration of organic and inorganic C, nutrient requirements, water demands, coupled cycling of H2O, N, P, S, and Policy and Outreach: carbon farming, payments for ecosystem services, COP21, SDGs, land degradation neutrality Special topics on soil as a source or sink of CO2, silicate weathering and carbon sequestration, nutrients required for carbon sequestration, physical protection and the mean resident time, and predicting soil carbon stocks are discussed in detail throughout the book.
Overland flow modelling has been an active field of research for some years, but developments in numerical methods and computational resources have recently accelerated progress, producing models for different geometries and types of flows, such as simulations of canal and river networks. Flow in canals has traditionally been described using one-dimensional, depth-averaged, shallow water models; but a variety of simulation techniques now facilitate the management of hydrodynamic systems, providing models which incorporate complex geometry and diverse flows. Much effort has gone into elaborating canal operational rules based on decision support systems, with the dual aim of assuring water delivery and meeting flow control constraints. In natural water courses, water management problems are associated with the need to meet quality standards. Numerical modelling of advection-diffusion can be used to manage problems related to the movement of solutes in rivers and aquifers. The analysis of solute transport is used to safeguard the quality of surface and ground water and to help prevent eutrophication. Solute flow through the soil can be dynamically linked to overland flow for hydrological and agricultural applications. Advances in modelling also cast new light on sediment transport in rivers, exploring the complex dynamics of river bed erosion and deposition and assist in thee analysis of river-reservoir systems. All these issues are discussed in Numerical Modelling of Hydrodynamics for Water Resources, which will be useful to civil engineers, applied mathematicians, hydrologists, and physicists.
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
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.
First published in 1992, this is the second of two volumes on recent advances in the field of hydraulic and environmental modelling, with invited and refereed contributions from an international group of engineers, scientists and planners involved in application, research and development. It covers the estuarine and river waters with parts devoted to: flow processes; flow modelling; salinity intrusion modelling; water quality modelling; sediment transport modelling; expert systems. The first volume covers coastal waters. With the continually increasing interest in the development and application of numerical hydraulic models, their value is especially evident as tools of design and management for flow, pollutant and sediment transport simulation studies in various environments. The readership includes practising engineers and scientists in the water industry, consulting engineers, water companies and the NRA and other government departments, university and polytechnic libraries, staff and students and all other members of the water engineering profession.
This book covers theoretical aspects of the physical processes, derivation of the governing equations and their solutions. It focusses on hydraulics, hydrology, and contaminant transport, including implementation of computer codes with practical examples. Python-based computer codes for all the solution approaches are provided for better understanding and easy implementation. The mathematical models are demonstrated through applications and the results are analyzed through data tables, plots, and comparison with analytical and experimental data. The concepts are used to solve practical applications like surface and ground water flow, flood routing, crop water requirement and irrigation scheduling. Combines the area of computational hydraulics, hydrology, and water resources engineering with Python Gives deep description of the basic equations and the numerical solutions of both 1D and 2D problems including the numerical codes Includes step-by-step translation of numerical algorithms in computer codes with focus on learners and practitioners Demonstration of theory, mathematical models through practical applications Analysis of each example through data tables, plots, and correlation with reality This book is aimed at senior undergraduates and graduate students in Civil Engineering, Coastal Engineering, Hydrology, and Water Resources Engineering.