Inverse Problems in Geophysical Applications

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Author :
Publisher : Society for Industrial and Applied Mathematics (SIAM)
ISBN 13 :
Total Pages : 318 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Inverse Problems in Geophysical Applications by : Heinz W. Engl

Download or read book Inverse Problems in Geophysical Applications written by Heinz W. Engl and published by Society for Industrial and Applied Mathematics (SIAM). This book was released on 1997 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume describe recent accomplishments in the area, and also give pointers for future research, thereby prompting questions that advance the science and lead to open questions about the underlying mathematics. This volume should be of interest to mathematicians who wish to know more about this application area, and to geophysicists interested in theoretical analysis.

Inverse Problems

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Author :
Publisher : Birkhäuser
ISBN 13 : 3319483846
Total Pages : 248 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Inverse Problems by : Mathias Richter

Download or read book Inverse Problems written by Mathias Richter and published by Birkhäuser. This book was released on 2016-11-24 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The overall goal of the book is to provide access to the regularized solution of inverse problems relevant in geophysics without requiring more mathematical knowledge than is taught in undergraduate math courses for scientists and engineers. From abstract analysis only the concept of functions as vectors is needed. Function spaces are introduced informally in the course of the text, when needed. Additionally, a more detailed, but still condensed introduction is given in Appendix B. A second goal is to elaborate the single steps to be taken when solving an inverse problem: discretization, regularization and practical solution of the regularized optimization problem. These steps are shown in detail for model problems from the fields of inverse gravimetry and seismic tomography. The intended audience is mathematicians, physicists and engineers having a good working knowledge of linear algebra and analysis at the upper undergraduate level.

Inverse Theory and Applications in Geophysics

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Author :
Publisher : Elsevier
ISBN 13 : 044462712X
Total Pages : 731 pages
Book Rating : 4.4/5 (446 download)

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Book Synopsis Inverse Theory and Applications in Geophysics by : Michael S. Zhdanov

Download or read book Inverse Theory and Applications in Geophysics written by Michael S. Zhdanov and published by Elsevier. This book was released on 2015-07-15 with total page 731 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geophysical Inverse Theory and Applications, Second Edition, brings together fundamental results developed by the Russian mathematical school in regularization theory and combines them with the related research in geophysical inversion carried out in the West. It presents a detailed exposition of the methods of regularized solution of inverse problems based on the ideas of Tikhonov regularization, and shows the different forms of their applications in both linear and nonlinear methods of geophysical inversion. It's the first book of its kind to treat many kinds of inversion and imaging techniques in a unified mathematical manner.The book is divided in five parts covering the foundations of the inversion theory and its applications to the solution of different geophysical inverse problems, including potential field, electromagnetic, and seismic methods. Unique in its focus on providing a link between the methods used in gravity, electromagnetic, and seismic imaging and inversion, it represents an exhaustive treatise on inversion theory.Written by one of the world's foremost experts, this work is widely recognized as the ultimate researcher's reference on geophysical inverse theory and its practical scientific applications. - Presents state-of-the-art geophysical inverse theory developed in modern mathematical terminology—the first to treat many kinds of inversion and imaging techniques in a unified mathematical way - Provides a critical link between the methods used in gravity, electromagnetic, and seismic imaging and inversion, and represents an exhaustive treatise on geophysical inversion theory - Features more than 300 illustrations, figures, charts and graphs to underscore key concepts - Reflects the latest developments in inversion theory and applications and captures the most significant changes in the field over the past decade

Parameter Estimation and Inverse Problems

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Author :
Publisher : Elsevier
ISBN 13 : 0128134232
Total Pages : 406 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Parameter Estimation and Inverse Problems by : Richard C. Aster

Download or read book Parameter Estimation and Inverse Problems written by Richard C. Aster and published by Elsevier. This book was released on 2018-10-16 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Geophysical Data Analysis: Discrete Inverse Theory

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Author :
Publisher : Academic Press
ISBN 13 : 0323141285
Total Pages : 273 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis Geophysical Data Analysis: Discrete Inverse Theory by : William Menke

Download or read book Geophysical Data Analysis: Discrete Inverse Theory written by William Menke and published by Academic Press. This book was released on 2012-12-02 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geophysical Data Analysis: Discrete Inverse Theory is an introductory text focusing on discrete inverse theory that is concerned with parameters that either are truly discrete or can be adequately approximated as discrete. Organized into 12 chapters, the book's opening chapters provide a general background of inverse problems and their corresponding solution, as well as some of the basic concepts from probability theory that are applied throughout the text. Chapters 3-7 discuss the solution of the canonical inverse problem, that is, the linear problem with Gaussian statistics, and discussions on problems that are non-Gaussian and nonlinear are covered in Chapters 8 and 9. Chapters 10-12 present examples of the use of inverse theory and a discussion on the numerical algorithms that must be employed to solve inverse problems on a computer. This book is of value to graduate students and many college seniors in the applied sciences.

Inverse Problems

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Author :
Publisher : Springer Nature
ISBN 13 : 3030593177
Total Pages : 281 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Inverse Problems by : Mathias Richter

Download or read book Inverse Problems written by Mathias Richter and published by Springer Nature. This book was released on 2021-01-05 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is an introduction to the subject of inverse problems with an emphasis on practical solution methods and applications from geophysics. The treatment is mathematically rigorous, relying on calculus and linear algebra only; familiarity with more advanced mathematical theories like functional analysis is not required. Containing up-to-date methods, this book will provide readers with the tools necessary to compute regularized solutions of inverse problems. A variety of practical examples from geophysics are used to motivate the presentation of abstract mathematical ideas, thus assuring an accessible approach. Beginning with four examples of inverse problems, the opening chapter establishes core concepts, such as formalizing these problems as equations in vector spaces and addressing the key issue of ill-posedness. Chapter Two then moves on to the discretization of inverse problems, which is a prerequisite for solving them on computers. Readers will be well-prepared for the final chapters that present regularized solutions of inverse problems in finite-dimensional spaces, with Chapter Three covering linear problems and Chapter Four studying nonlinear problems. Model problems reflecting scenarios of practical interest in the geosciences, such as inverse gravimetry and full waveform inversion, are fully worked out throughout the book. They are used as test cases to illustrate all single steps of solving inverse problems, up to numerical computations. Five appendices include the mathematical foundations needed to fully understand the material. This second edition expands upon the first, particularly regarding its up-to-date treatment of nonlinear problems. Following the author’s approach, readers will understand the relevant theory and methodology needed to pursue more complex applications. Inverse Problems is ideal for graduate students and researchers interested in geophysics and geosciences.

Discrete Inverse and State Estimation Problems

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Author :
Publisher : Cambridge University Press
ISBN 13 : 1139456938
Total Pages : 357 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Discrete Inverse and State Estimation Problems by : Carl Wunsch

Download or read book Discrete Inverse and State Estimation Problems written by Carl Wunsch and published by Cambridge University Press. This book was released on 2006-06-29 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addressing the problems of making inferences from noisy observations and imperfect theories, this 2006 book introduces many inference tools and practical applications. Starting with fundamental algebraic and statistical ideas, it is ideal for graduate students and researchers in oceanography, climate science, and geophysical fluid dynamics.

Geophysical Inverse Theory and Regularization Problems

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Author :
Publisher : Elsevier
ISBN 13 : 0080532500
Total Pages : 635 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Geophysical Inverse Theory and Regularization Problems by : Michael S. Zhdanov

Download or read book Geophysical Inverse Theory and Regularization Problems written by Michael S. Zhdanov and published by Elsevier. This book was released on 2002-04-24 with total page 635 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents state-of-the-art geophysical inverse theory developed in modern mathematical terminology. The book brings together fundamental results developed by the Russian mathematical school in regularization theory and combines them with the related research in geophysical inversion carried out in the West. It presents a detailed exposition of the methods of regularized solution of inverse problems based on the ideas of Tikhonov regularization, and shows the different forms of their applications in both linear and nonlinear methods of geophysical inversion. This text is the first to treat many kinds of inversion and imaging techniques in a unified mathematical manner.The book is divided in five parts covering the foundations of the inversion theory and its applications to the solution of different geophysical inverse problems, including potential field, electromagnetic, and seismic methods. The first part is an introduction to inversion theory. The second part contains a description of the basic methods of solution of the linear and nonlinear inverse problems using regularization. The following parts treat the application of regularization methods in gravity and magnetic, electromagnetic, and seismic inverse problems. The key connecting idea of these applied parts of the book is the analogy between the solutions of the forward and inverse problems in different geophysical methods. The book also includes chapters related to the modern technology of geophysical imaging, based on seismic and electromagnetic migration.This volume is unique in its focus on providing a link between the methods used in gravity, electromagnetic, and seismic imaging and inversion, and represents an exhaustive treatise on inversion theory.

Wavefield Inversion

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9783211833209
Total Pages : 320 pages
Book Rating : 4.8/5 (332 download)

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Book Synopsis Wavefield Inversion by : Armand Wirgin

Download or read book Wavefield Inversion written by Armand Wirgin and published by Springer Science & Business Media. This book was released on 2000-04-19 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an up-to-date presentation of a broad range of contemporary problems in inverse scattering involving acoustic, elastic and electromagnetic waves. Descriptions will be given of traditional (but still in use and subject to on-going improvements) and more recent methods for identifying either: a) the homogenized material parameters of (spatially) unbounded or bounded heterogeneous media, or b) the detailed composition (spatial distribution of the material parameters) of unbounded or bounded heterogeneous media, or c) the location, shape, orientation and material characteristics of an object embedded in a wellcharacterized homogeneous, homogenized or heterogeneous unbounded or bounded medium, by inversion of reflected, transmitted or scattered spatiotemporal recorded waveforms resulting from the propagation of probe radiation within the medium.

Global Optimization Methods in Geophysical Inversion

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Author :
Publisher : Cambridge University Press
ISBN 13 : 1107011906
Total Pages : 303 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Global Optimization Methods in Geophysical Inversion by : Mrinal K. Sen

Download or read book Global Optimization Methods in Geophysical Inversion written by Mrinal K. Sen and published by Cambridge University Press. This book was released on 2013-02-21 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: An up-to-date overview of global optimization methods used to formulate and interpret geophysical observations, for researchers, graduate students and professionals.

Inverse Problems

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Author :
Publisher : Wiley-VCH
ISBN 13 :
Total Pages : 336 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Inverse Problems by : Gottfried Anger

Download or read book Inverse Problems written by Gottfried Anger and published by Wiley-VCH. This book was released on 1993-09 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most mathematical problems in science, technology, and medicine are inverse problems. Studying such problems is the only way of completely analyzing experimental results. Inverse problems may be considered among the pressing problems of current mathematical research.

The Solution of the Inverse Problem in Geophysical Interpretation

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Publisher : Springer Science & Business Media
ISBN 13 : 1468439626
Total Pages : 371 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis The Solution of the Inverse Problem in Geophysical Interpretation by : R. Cassinis

Download or read book The Solution of the Inverse Problem in Geophysical Interpretation written by R. Cassinis and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: As is apparent from the table of contents, the lectures at the Third Course of the International School of Applied Geophysics, Erice, March 27-April 4, 1980 (the first part of this volume) dealt with several applications of inversion to different geophy sical methods. For every field, the more general lectures come first, followed by those aimed at more specialized objectives. Not all topics are covered and the coverage is not uniform. The seismological section (especially the seismic reflection methods) is the most developed, and this is only partly due to the actual state of the art. Unfortunately, only abstracts are available for two of the lectures. The second part of the volume contains some short notes and contributions presented either by the lecturers themselves or by other participants. They do not necessarily deal with the process of inversion itself but with the preparation and meaning of the data to be inverted or with some original treatments of problems that were discussed in the afternoon sessions. The discussion sessions and the round table that followed the lectures were essential to the success of the Course and to an understanding ot the difterent perspectives of the various specialists. I hope that the group of very brilliant and willing geophysi cists that made the meeting so interesting will stay ~n touch, grow closer, and meet again. Close scientific cooperation among them could contribute much to the "unification" of geophysical science.

Geophysical Data Analysis: Understanding Inverse Problem Theory and Practice

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Author :
Publisher : SEG Books
ISBN 13 : 156080257X
Total Pages : 305 pages
Book Rating : 4.5/5 (68 download)

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Book Synopsis Geophysical Data Analysis: Understanding Inverse Problem Theory and Practice by : Max A. Meju

Download or read book Geophysical Data Analysis: Understanding Inverse Problem Theory and Practice written by Max A. Meju and published by SEG Books. This book was released on 1994 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This publication is designed to provide a practical understanding of methods of parameter estimation and uncertainty analysis. The practical problems covered range from simple processing of time- and space-series data to inversion of potential field, seismic, electrical, and electromagnetic data. The various formulations are reconciled with field data in the numerous examples provided in the book; well-documented computer programmes are also given to show how easy it is to implement inversion algorithms.

Computational Methods in Geophysical Electromagnetics

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Publisher : SIAM
ISBN 13 : 1611973805
Total Pages : 148 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Computational Methods in Geophysical Electromagnetics by : Eldad Haber

Download or read book Computational Methods in Geophysical Electromagnetics written by Eldad Haber and published by SIAM. This book was released on 2014-12-11 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a framework for students and practitioners who are working on the solution of electromagnetic imaging in geophysics. Bridging the gap between theory and practical applied material (for example, inverse and forward problems), it provides a simple explanation of finite volume discretization, basic concepts in solving inverse problems through optimization, a summary of applied electromagnetics methods, and MATLAB??code for efficient computation.

Global Optimization Methods in Geophysical Inversion

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Author :
Publisher : Cambridge University Press
ISBN 13 : 1139619519
Total Pages : 303 pages
Book Rating : 4.1/5 (396 download)

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Book Synopsis Global Optimization Methods in Geophysical Inversion by : Mrinal K. Sen

Download or read book Global Optimization Methods in Geophysical Inversion written by Mrinal K. Sen and published by Cambridge University Press. This book was released on 2013-02-21 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing an up-to-date overview of the most popular global optimization methods used in interpreting geophysical observations, this new edition includes a detailed description of the theoretical development underlying each method and a thorough explanation of the design, implementation and limitations of algorithms. New and expanded chapters provide details of recently developed methods, such as the neighborhood algorithm, particle swarm optimization, hybrid Monte Carlo and multi-chain MCMC methods. Other chapters include new examples of applications, from uncertainty in climate modeling to whole Earth studies. Several different examples of geophysical inversion, including joint inversion of disparate geophysical datasets, are provided to help readers design algorithms for their own applications. This is an authoritative and valuable text for researchers and graduate students in geophysics, inverse theory and exploration geoscience, and an important resource for professionals working in engineering and petroleum exploration.

Inside Out

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Publisher : Cambridge University Press
ISBN 13 : 9780521824699
Total Pages : 424 pages
Book Rating : 4.8/5 (246 download)

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Book Synopsis Inside Out by : Gunther Uhlmann

Download or read book Inside Out written by Gunther Uhlmann and published by Cambridge University Press. This book was released on 2003-11-10 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, leading experts in the theoretical and applied aspects of inverse problems offer extended surveys on several important topics.

Computational Methods for Inverse Problems

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Author :
Publisher : SIAM
ISBN 13 : 0898717574
Total Pages : 195 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Computational Methods for Inverse Problems by : Curtis R. Vogel

Download or read book Computational Methods for Inverse Problems written by Curtis R. Vogel and published by SIAM. This book was released on 2002-01-01 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a basic understanding of both the underlying mathematics and the computational methods used to solve inverse problems.