Model Calibration and Parameter Estimation

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.

Various hydrological models are described and classified Summarizes the state-of-the-art developments in this subject area that can bring the readers to the front of knowledge Synthetic examples and real case studies are given through the book for elucidating concepts and methods Includes supplementary material: sn.pub/extras

Autorentext
Ne-Zheng Sun, Adjunct Professor, Civil & Environmental Engineering Department, University of California at Los Angles, USA Alexander Y. Sun, Research Scientist, Bureau of Economic Geology, Jackson School of Geosciences, University of Texas at Austin, USA

Inhalt
Introduction.- The Classical Inverse Problem.- The Gauss-Newton Method.- Multiobjective Inversion and Regularization.- Statistical Methods for Parameter Estimation.- Model Differentiation.- Model Dimension Reduction.- Development of Data-Driven Models.- Data Assimilation for Inversion.- Model Uncertainty Quantification.- Optimal Experimental Design.- Goal-Oriented Modeling.