# Geophysical Data Analysis Discrete Inverse Theory

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- Author : William Menke
- Publisher : Academic Press
- Release : 02 December 2012
- ISBN : 9780323141284
- Page : 272 pages
- Rating : 4.5/5 from 103 voters

## Geophysical Data Analysis Discrete Inverse Theory Book PDF summary

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: Discrete Inverse Theory

- Author : William Menke
- Publisher : Academic Press
- Release Date : 2012-12-02
- ISBN : 9780323141284

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,

### Geophysical Data Analysis

- Author : William Menke
- Publisher : Elsevier
- Release Date : 1989-10-04
- ISBN : 9780080507323

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

### Geophysical Data Analysis

- Author : William Menke
- Publisher : Academic Press
- Release Date : 1989-09-11
- ISBN : 0124909213

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

- Author : David Gubbins
- Publisher : Cambridge University Press
- Release Date : 2004-03-18
- ISBN : 9781316582930

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

### Parameter Estimation and Inverse Problems

- Author : Richard C. Aster,Brian Borchers,Clifford H. Thurber
- Publisher : Academic Press
- Release Date : 2013
- ISBN : 9780123850485

Parameter Estimation and Inverse Problems, Second Edition provides geoscience students and professionals with answers to common questions like how one can derive a physical model from a finite set of observations containing errors, and how one may determine the quality of such a model. This book takes on these fundamental and challenging problems, introducing students and professionals to the broad range of approaches that lie in the realm of inverse theory. The authors present both the underlying theory and practical

### Geophysical Data Analysis

- Author : William Menke
- Publisher : Academic Press
- Release Date : 2018-04-10
- ISBN : 9780128135563

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

### Inverse Problem Theory and Methods for Model Parameter Estimation

- Author : Albert Tarantola
- Publisher : SIAM
- Release Date : 2005-01-01
- ISBN : 0898717922

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

### Inverse Theory and Applications in Geophysics

- Author : Michael S. Zhdanov
- Publisher : Elsevier
- Release Date : 2015-07-15
- ISBN : 9780444627124

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

### Geophysical Inverse Theory and Regularization Problems

- Author : Michael S. Zhdanov
- Publisher : Elsevier
- Release Date : 2002-04-24
- ISBN : 0080532500

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.

### Geophysical Data Analysis: Understanding Inverse Problem Theory and Practice

- Author : Max A. Meju
- Publisher : SEG Books
- Release Date : 1994
- ISBN : 9781560802570

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.

### Geophysical Inverse Theory

- Author : Robert L. Parker
- Publisher : Princeton University Press
- Release Date : 2019-12-31
- ISBN : 9780691206837

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

### Essentials of Geophysical Data Processing

- Author : Clark R. Wilson
- Publisher : Cambridge University Press
- Release Date : 2021-10-31
- ISBN : 9781108931007

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

### Geophysical Inversion

- Author : J. Bee Bednar
- Publisher : SIAM
- Release Date : 1992-01-01
- ISBN : 0898712734

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.

### Discrete Inverse Problems

- Author : Per Christian Hansen
- Publisher : SIAM
- Release Date : 2010
- ISBN : 9780898718836

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.

### Global Optimization Methods in Geophysical Inversion

- Author : Mrinal K. Sen,Paul L. Stoffa
- Publisher : Cambridge University Press
- Release Date : 2013-02-21
- ISBN : 9781139619516

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