Geophysical Data Analysis  Discrete Inverse Theory Book

Geophysical Data Analysis Discrete Inverse Theory


  • Author : William Menke
  • Publisher : Academic Press
  • Release Date : 2012-12-02
  • Genre: Science
  • Pages : 272
  • ISBN 10 : 9780323141284

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Geophysical Data Analysis Discrete Inverse Theory 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.

Geophysical Data Analysis Book
Score: 5
From 2 Ratings

Geophysical Data Analysis


  • Author : William Menke
  • Publisher : Elsevier
  • Release Date : 1989-10-04
  • Genre: Science
  • Pages : 289
  • ISBN 10 : 9780080507323

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Geophysical Data Analysis Excerpt :

Please use extracts from reviews of first edition Key Features * Updated and thoroughly revised edition * additional material on geophysical/acoustic tomography * Detailed discussion of application of inverse theory to tectonic, gravitational and geomagnetic studies

Time Series Analysis and Inverse Theory for Geophysicists Book

Time Series Analysis and Inverse Theory for Geophysicists


  • Author : David Gubbins
  • Publisher : Cambridge University Press
  • Release Date : 2004-03-18
  • Genre: Science
  • Pages : null
  • ISBN 10 : 9781316582930

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Time Series Analysis and Inverse Theory for Geophysicists Excerpt :

This unique textbook provides the foundation for understanding and applying techniques commonly used in geophysics to process and interpret modern digital data. The geophysicist's toolkit contains a range of techniques which may be divided into two main groups: processing, which concerns time series analysis and is used to separate the signal of interest from background noise; and inversion, which involves generating some map or physical model from the data. These two groups of techniques are normally taught separately, but are here presented together as parts I and II of the book. Part III describes some real applications and includes case studies in seismology, geomagnetism, and gravity. This textbook gives students and practitioners the theoretical background and practical experience, through case studies, computer examples and exercises, to understand and apply new processing methods to modern geophysical datasets. Solutions to the exercises are available on a website at http://publishing.cambridge.org/resources/0521819652

Geophysical Data Analysis  Understanding Inverse Problem Theory and Practice Book

Geophysical Data Analysis Understanding Inverse Problem Theory and Practice


  • Author : Max A. Meju
  • Publisher : SEG Books
  • Release Date : 1994
  • Genre: Geophysics
  • Pages : 305
  • ISBN 10 : 9781560802570

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Geophysical Data Analysis Understanding Inverse Problem Theory and Practice 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.

Inverse Theory and Applications in Geophysics Book

Inverse Theory and Applications in Geophysics


  • Author : Michael S. Zhdanov
  • Publisher : Elsevier
  • Release Date : 2015-07-15
  • Genre: Science
  • Pages : 730
  • ISBN 10 : 9780444627124

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Inverse Theory and Applications in Geophysics 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.

Geophysical Inverse Theory and Regularization Problems Book
Score: 5
From 1 Ratings

Geophysical Inverse Theory and Regularization Problems


  • Author : Michael S. Zhdanov
  • Publisher : Elsevier
  • Release Date : 2002-04-24
  • Genre: Science
  • Pages : 633
  • ISBN 10 : 0080532500

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Geophysical Inverse Theory and Regularization Problems 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.

Inverse Problem Theory and Methods for Model Parameter Estimation Book

Inverse Problem Theory and Methods for Model Parameter Estimation


  • Author : Albert Tarantola
  • Publisher : SIAM
  • Release Date : 2005-01-01
  • Genre: Mathematics
  • Pages : 354
  • ISBN 10 : 0898717922

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Inverse Problem Theory and Methods for Model Parameter Estimation Excerpt :

While the prediction of observations is a forward problem, the use of actual observations to infer the properties of a model is an inverse problem. Inverse problems are difficult because they may not have a unique solution. The description of uncertainties plays a central role in the theory, which is based on probability theory. This book proposes a general approach that is valid for linear as well as for nonlinear problems. The philosophy is essentially probabilistic and allows the reader to understand the basic difficulties appearing in the resolution of inverse problems. The book attempts to explain how a method of acquisition of information can be applied to actual real-world problems, and many of the arguments are heuristic.

Geophysical Inversion Book

Geophysical Inversion


  • Author : J. Bee Bednar
  • Publisher : SIAM
  • Release Date : 1992-01-01
  • Genre: Science
  • Pages : 472
  • ISBN 10 : 0898712734

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Geophysical Inversion Excerpt :

This collection of papers on geophysical inversion contains research and survey articles on where the field has been and where it's going, and what is practical and what is not. Topics covered include seismic tomography, migration and inverse scattering.

Geophysical Data Analysis Book

Geophysical Data Analysis


  • Author : William Menke
  • Publisher : Academic Press
  • Release Date : 2018-04-10
  • Genre: Science
  • Pages : 352
  • ISBN 10 : 9780128135563

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Geophysical Data Analysis Excerpt :

Geophysical Data Analysis: Diverse Inverse Theory, Fourth Edition is a revised and expanded introduction to inverse theory and tomography as it is practiced by geophysicists. It demonstrates the methods needed to analyze a broad spectrum of geophysical datasets, with special attention to those methods that generate images of the earth. Data analysis can be a mathematically complex activity, but the treatment in this volume is carefully designed to emphasize those mathematical techniques that readers will find the most familiar and to systematically introduce less-familiar ones. Using problems and case studies, along with MATLAB computer code and summaries of methods, the book provides data scientists and engineers in geophysics with the tools necessary to understand and apply mathematical techniques and inverse theory. Includes material on probability, including Bayesian influence, probability density function and metropolis algorithm Offers detailed discussion of the application of inverse theory to tectonic, gravitational and geomagnetic studies Contains numerous examples, color figures and end-of-chapter homework problems to help readers explore and further understand presented ideas Includes MATLAB examples and problem sets Updated and refined throughout to bring the text in line with current understanding and improved examples and case studies Expanded sections to cover material, such as second-derivation smoothing and chi-squared tests not covered in the previous edition

Geophysical Inverse Theory Book

Geophysical Inverse Theory


  • Author : Robert L. Parker
  • Publisher : Princeton University Press
  • Release Date : 2019-12-31
  • Genre: Science
  • Pages : null
  • ISBN 10 : 9780691206837

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Geophysical Inverse Theory Excerpt :

In many physical sciences, the most natural description of a system is with a function of position or time. In principle, infinitely many numbers are needed to specify that function, but in practice only finitely many measurements can be made. Inverse theory concerns the mathematical techniques that enable researchers to use the available information to build a model of the unknown system or to determine its essential properties. In Geophysical Inverse Theory, Robert Parker provides a systematic development of inverse theory at the graduate and professional level that emphasizes a rigorous yet practical solution of inverse problems, with examples from experimental observations in geomagnetism, seismology, gravity, electromagnetic sounding, and interpolation. Although illustrated with examples from geophysics, this book has broad implications for researchers in applied disciplines from materials science and engineering to astrophysics, oceanography, and meteorology. Parker's approach is to avoid artificial statistical constructs and to emphasize instead the reasonable assumptions researchers must make to reduce the ambiguity that inevitably arises in complex problems. The structure of the book follows a natural division in the subject into linear theory, in which the measured quantities are linear functionals of the unknown models, and nonlinear theory, which covers all other systems but is not nearly so well understood. The book covers model selection as well as techniques for drawing firm conclusions about the earth independent of any particular model.

Essentials of Geophysical Data Processing Book

Essentials of Geophysical Data Processing


  • Author : Clark R. Wilson
  • Publisher : Cambridge University Press
  • Release Date : 2021-10-21
  • Genre: Science
  • Pages : 203
  • ISBN 10 : 9781108931007

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Essentials of Geophysical Data Processing Excerpt :

Concise, self-contained survey of data processing methods in geophysics and other sciences, for upper level science and engineering students.

Global Optimization Methods in Geophysical Inversion Book

Global Optimization Methods in Geophysical Inversion


  • Author : Mrinal K. Sen
  • Publisher : Cambridge University Press
  • Release Date : 2013-02-21
  • Genre: Science
  • Pages : null
  • ISBN 10 : 9781139619516

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Global Optimization Methods in Geophysical Inversion 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.

Inverse Methods for Atmospheric Sounding Book

Inverse Methods for Atmospheric Sounding


  • Author : Clive D. Rodgers
  • Publisher : World Scientific
  • Release Date : 2000
  • Genre: Science
  • Pages : 256
  • ISBN 10 : 9789810227401

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Inverse Methods for Atmospheric Sounding Excerpt :

Annotation Rodgers (U. of Oxford) provides graduate students and other researchers a background to the inverse problem and its solution, with applications relating to atmospheric measurements. He introduces the stages in the reverse order than the usual approach in order to develop the learner's intuition about the nature of the inverse problem. Annotation copyrighted by Book News, Inc., Portland, OR.

Discrete Inverse Problems Book

Discrete Inverse Problems


  • Author : Per Christian Hansen
  • Publisher : SIAM
  • Release Date : 2010
  • Genre: Inverse problems (Differential equations)
  • Pages : 213
  • ISBN 10 : 9780898718836

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Discrete Inverse Problems Excerpt :

This book gives an introduction to the practical treatment of inverse problems by means of numerical methods, with a focus on basic mathematical and computational aspects. To solve inverse problems, we demonstrate that insight about them goes hand in hand with algorithms.

Environmental Data Analysis with MatLab Book

Environmental Data Analysis with MatLab


  • Author : William Menke
  • Publisher : Elsevier
  • Release Date : 2011-09-02
  • Genre: Mathematics
  • Pages : 282
  • ISBN 10 : 9780123918864

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Environmental Data Analysis with MatLab Excerpt :

"Environmental Data Analysis with MatLab" is for students and researchers working to analyze real data sets in the environmental sciences. One only has to consider the global warming debate to realize how critically important it is to be able to derive clear conclusions from often-noisy data drawn from a broad range of sources. This book teaches the basics of the underlying theory of data analysis, and then reinforces that knowledge with carefully chosen, realistic scenarios. MatLab, a commercial data processing environment, is used in these scenarios; significant content is devoted to teaching how it can be effectively used in an environmental data analysis setting. The book, though written in a self-contained way, is supplemented with data sets and MatLab scripts that can be used as a data analysis tutorial. It is well written and outlines a clear learning path for researchers and students. It uses real world environmental examples and case studies. It has MatLab software for application in a readily-available software environment. Homework problems help user follow up upon case studies with homework that expands them.