Author: Mickaële Le Ravalec Publisher: Editions OPHRYS ISBN: 9782710811275 Category : Fluid dynamics Languages : en Pages : 208
Book Description
In order to understand fluid flows in underground porous formations, engineers need to produce models, in the form of grid systems populated with physical properties such as permeability and porosity. This procedure is of crucial importance but it is also problematic. It is crucially important in determining where and how fluids flow; reservoir or aquifer modeling is used to plan field development, optimize oil production with the judicious selection of well locations, assess contaminant migration, design capture zones, and so on. It is problematic, because there is never enough data available to describe with certainty the spatial distribution of permeability and porosity on a given scale. Given the complex heterogeneity of natural porous media, the fundamental question is: how can this reality be incorporated in models? This textbook refers to geostatistics and optimization to review the whole workflow for modern reservoir characterization and to provide an original solution. A CD-ROM with a software called GO is supplied with this book. It provides tools to answer the illustrative exercises proposed and to help the reader to develop intuitive understanding. This book is written at a comprehensible level for students who have had calculus, linear algebra and some exposure to differential equations. It should also serve already-practicing engineers in oil reservoirs, environment and hydrology.
Author: H. T. Banks Publisher: CRC Press ISBN: 1482206439 Category : Mathematics Languages : en Pages : 403
Book Description
Modeling and Inverse Problems in the Presence of Uncertainty collects recent research-including the authors' own substantial projects-on uncertainty propagation and quantification. It covers two sources of uncertainty: where uncertainty is present primarily due to measurement errors and where uncertainty is present due to the modeling formulation i
Author: Howard M. Taylor Publisher: Academic Press ISBN: 1483269272 Category : Mathematics Languages : en Pages : 410
Book Description
An Introduction to Stochastic Modeling provides information pertinent to the standard concepts and methods of stochastic modeling. This book presents the rich diversity of applications of stochastic processes in the sciences. Organized into nine chapters, this book begins with an overview of diverse types of stochastic models, which predicts a set of possible outcomes weighed by their likelihoods or probabilities. This text then provides exercises in the applications of simple stochastic analysis to appropriate problems. Other chapters consider the study of general functions of independent, identically distributed, nonnegative random variables representing the successive intervals between renewals. This book discusses as well the numerous examples of Markov branching processes that arise naturally in various scientific disciplines. The final chapter deals with queueing models, which aid the design process by predicting system performance. This book is a valuable resource for students of engineering and management science. Engineers will also find this book useful.
Author: Baasansuren Jadamba Publisher: ISBN: 9780367506315 Category : Inverse problems (Differential equations) Languages : en Pages : 0
Book Description
This edited volume comprises invited contributions from world-renowned researchers in the subject of stochastic control and inverse problems. There are several contributions on stochastic optimal control and stochastic inverse problems covering different aspects of the theory, numerical methods, and applications.
Author: Ne-Zheng Sun Publisher: Springer Science & Business Media ISBN: 9401719705 Category : Science Languages : en Pages : 346
Book Description
... A diskette with the updated programme of Appendix C and examples is available through the author at a small fee. email: [email protected] fax: 1--310--825--5435 ... This book systematically discusses basic concepts, theory, solution methods and applications of inverse problems in groundwater modeling. It is the first book devoted to this subject. The inverse problem is defined and solved in both deterministic and statistic frameworks. Various direct and indirect methods are discussed and compared. As a useful tool, the adjoint state method and its applications are given in detail. For a stochastic field, the maximum likelihood estimation and co-kriging techniques are used to estimate unknown parameters. The ill-posed problem of inverse solution is highlighted through the whole book. The importance of data collection strategy is specially emphasized. Besides the classical design criteria, the relationships between decision making, prediction, parameter identification and experimental design are considered from the point of view of extended identifiabilities. The problem of model structure identification is also considered. This book can be used as a textbook for graduate students majoring in hydrogeology or related subjects. It is also a reference book for hydrogeologists, petroleum engineers, environmental engineers, mining engineers and applied mathematicians.
Author: Richard C. Aster Publisher: Elsevier ISBN: 0128134232 Category : Science Languages : en Pages : 406
Book Description
Parameter Estimation and Inverse Problems, Third Edition, is structured around a course at New Mexico Tech and is designed to be accessible to typical graduate students in the physical sciences who do not have an extensive mathematical background. The book is complemented by a companion website that includes MATLAB codes that correspond to examples that are illustrated with simple, easy to follow problems that illuminate the details of particular numerical methods. Updates to the new edition include more discussions of Laplacian smoothing, an expansion of basis function exercises, the addition of stochastic descent, an improved presentation of Fourier methods and exercises, and more. - Features examples that are illustrated with simple, easy to follow problems that illuminate the details of a particular numerical method - Includes an online instructor's guide that helps professors teach and customize exercises and select homework problems - Covers updated information on adjoint methods that are presented in an accessible manner
Author: Jérôme Idier Publisher: John Wiley & Sons ISBN: 111862369X Category : Mathematics Languages : en Pages : 322
Book Description
Many scientific, medical or engineering problems raise the issue of recovering some physical quantities from indirect measurements; for instance, detecting or quantifying flaws or cracks within a material from acoustic or electromagnetic measurements at its surface is an essential problem of non-destructive evaluation. The concept of inverse problems precisely originates from the idea of inverting the laws of physics to recover a quantity of interest from measurable data. Unfortunately, most inverse problems are ill-posed, which means that precise and stable solutions are not easy to devise. Regularization is the key concept to solve inverse problems. The goal of this book is to deal with inverse problems and regularized solutions using the Bayesian statistical tools, with a particular view to signal and image estimation. The first three chapters bring the theoretical notions that make it possible to cast inverse problems within a mathematical framework. The next three chapters address the fundamental inverse problem of deconvolution in a comprehensive manner. Chapters 7 and 8 deal with advanced statistical questions linked to image estimation. In the last five chapters, the main tools introduced in the previous chapters are put into a practical context in important applicative areas, such as astronomy or medical imaging.
Author: Lorenz Biegler Publisher: John Wiley & Sons ISBN: 1119957583 Category : Mathematics Languages : en Pages : 403
Book Description
This book focuses on computational methods for large-scale statistical inverse problems and provides an introduction to statistical Bayesian and frequentist methodologies. Recent research advances for approximation methods are discussed, along with Kalman filtering methods and optimization-based approaches to solving inverse problems. The aim is to cross-fertilize the perspectives of researchers in the areas of data assimilation, statistics, large-scale optimization, applied and computational mathematics, high performance computing, and cutting-edge applications. The solution to large-scale inverse problems critically depends on methods to reduce computational cost. Recent research approaches tackle this challenge in a variety of different ways. Many of the computational frameworks highlighted in this book build upon state-of-the-art methods for simulation of the forward problem, such as, fast Partial Differential Equation (PDE) solvers, reduced-order models and emulators of the forward problem, stochastic spectral approximations, and ensemble-based approximations, as well as exploiting the machinery for large-scale deterministic optimization through adjoint and other sensitivity analysis methods. Key Features: Brings together the perspectives of researchers in areas of inverse problems and data assimilation. Assesses the current state-of-the-art and identify needs and opportunities for future research. Focuses on the computational methods used to analyze and simulate inverse problems. Written by leading experts of inverse problems and uncertainty quantification. Graduate students and researchers working in statistics, mathematics and engineering will benefit from this book.
Author: Andrew Binley Publisher: Cambridge University Press ISBN: 1108492746 Category : Business & Economics Languages : en Pages : 409
Book Description
A comprehensive text on resistivity and induced polarization covering theory and practice for the near-surface Earth supported by modelling software.
Author: Mickaële Le Ravalec
Author: H. T. Banks
Author: Howard M. Taylor
Author: Baasansuren Jadamba
Author: Ne-Zheng Sun
Author: Curtis R. Vogel
Author: Richard C. Aster
Author: Jérôme Idier
Author: Lorenz Biegler
Author: Andrew Binley