Water Engineering Modeling and Mathematic Tools provides an informative resource for practitioners who want to learn more about different techniques and models in water engineering and their practical applications and case studies. The book provides modelling theories in an easy-to-read format verified with on-site models for specific regions and scenarios. Users will find this to be a significant contribution to the development of mathematical tools, experimental techniques, and data-driven models that support modern-day water engineering applications. Civil engineers, industrialists, and water management experts should be familiar with advanced techniques that can be used to improve existing systems in water engineering. This book provides key ideas on recently developed machine learning methods and AI modelling. It will serve as a common platform for practitioners who need to become familiar with the latest developments of computational techniques in water engineering. Includes firsthand experience about artificial intelligence models, utilizing case studies Describes biological, physical and chemical techniques for the treatment of surface water, groundwater, sea water and rain/snow Presents the application of new instruments in water engineering

This three-part book provides a comprehensive and systematic introduction to these challenging topics such as model calibration, parameter estimation, reliability assessment, and data collection design. Part 1 covers the classical inverse problem for parameter estimation in both deterministic and statistical frameworks, Part 2 is dedicated to system identification, hyperparameter estimation, and model dimension reduction, and Part 3 considers how to collect data and construct reliable models for prediction and decision-making. For the first time, topics such as multiscale inversion, stochastic field parameterization, level set method, machine learning, global sensitivity analysis, data assimilation, model uncertainty quantification, robust design, and goal-oriented modeling, are systematically described and summarized in a single book from the perspective of model inversion, and elucidated with numerical examples from environmental and water resources modeling. Readers of this book will not only learn basic concepts and methods for simple parameter estimation, but also get familiar with advanced methods for modeling complex systems. Algorithms for mathematical tools used in this book, such as numerical optimization, automatic differentiation, adaptive parameterization, hierarchical Bayesian, metamodeling, Markov chain Monte Carlo, are covered in details. This book can be used as a reference for graduate and upper level undergraduate students majoring in environmental engineering, hydrology, and geosciences. It also serves as an essential reference book for professionals such as petroleum engineers, mining engineers, chemists, mechanical engineers, biologists, biology and medical engineering, applied mathematicians, and others who perform mathematical modeling.

This book offers lucid treatment of fundamental concepts related to potential applications and prospects of different membranes for wastewater decontamination by removing heavy metals. Divided into four sections, it provides an overview of different sources of water contamination, their impacts on human health and the environment, and compares traditional methods used to nullify these impacts. Further, it covers different mature membrane technologies such as polymeric membranes, poly-ceramic membranes, carbon-based membranes and many more, followed by pertinent case studies. Features: Focuses on the removal of heavy metals using membrane-based technologies Discusses pertinent criteria to select suitable membranes Includes feasibility studies and applications of different mature and emerging membranes Describes heavy metals' occurrence and transport in an aqueous system with an overview of the adverse effects Reviews challenges and opportunities associated with using different membranes This book is aimed at graduate students and researchers in materials science, water engineering and wastewater treatment.

Water Environment Modeling covers the formulations and applications of mathematical models that simulate water flow and chemical transport in rivers, lakes, groundwater, estuaries, coastal, and ocean waters. These models are used to evaluate the response of water environment to human interventions and serve as useful analytical tools for water pollution control and resource management. Simple and comprehensive modeling techniques and their practical applications are presented with examples and exercises, most of which are derived from actual case studies. In general, simple models can be solved analytically and comprehensive models require numerical solutions. While simple models are usually adopted for preliminary assessment of a particular water environment, comprehensive models are used to provide detailed spatial and temporal variations of pollutants in complex environments. The system-based models in the forms of integral equations are introduced as an alternative modeling approach. This textbook is ideal for advanced undergraduate students and graduate students in civil and environmental engineering and related academic fields. It is also suitable as a reference book for practicing engineers and scientists. Authors: Clark C.K. Liu is Emeritus Professor of the Department of Civil and Environmental Engineering at University of Hawaii and former Environmental Engineering Director of US National Science Foundation. Pengzhi Lin is Professor of State Key Laboratory of Hydraulics and Mountain River Engineering at Sichuan University. He is the author of Numerical Modeling of Water Waves (CRC Press, 2008). Hong Xiao is Professor and Vice Director of Hydroinformatics Institute of the State Key Laboratory of Hydraulics and Mountain River Engineering at Sichuan University.

The subject of the book is the "know-how" of applied mathematical modelling: how to construct specific models and adjust them to a new engineering environment or more precise realistic assumptions; how to analyze models for the purpose of investigating real life phenomena; and how the models can extend our knowledge about a specific engineering process. Two major sources of the book are the stock of classic models and the authors' wide experience in the field. The book provides a theoretical background to guide the development of practical models and their investigation. It considers general modelling techniques, explains basic underlying physical laws and shows how to transform them into a set of mathematical equations. The emphasis is placed on common features of the modelling process in various applications as well as on complications and generalizations of models. The book covers a variety of applications: mechanical, acoustical, physical and electrical, water transportation and contamination processes; bioengineering and population control; production systems and technical equipment renovation. Mathematical tools include partial and ordinary differential equations, difference and integral equations, the calculus of variations, optimal control, bifurcation methods, and related subjects.

Water Management Models: A Guide to Software is designed to make the inventory of modeling tools more accessible to water management professionals. The purpose of the book is to assist water managers, planners, engineers, and scientists in sorting through the maze of models to understand which ones might be most useful for their particular modeling needs. Information is provided to facilitate identification, selection, and acquisition of software packages for a broad spectrum of water resources planning and management applications.