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Theory and Practice of Geophysical Data Inversion

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Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 177/5 ( reviews)

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Book Synopsis Theory and Practice of Geophysical Data Inversion by : Andreas Vogel

Download or read book Theory and Practice of Geophysical Data Inversion written by Andreas Vogel. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: The contributions to this volume cover a wide spectrum of recent developments in geophysical data inversion, including basic mathematics and general theory, numerical methods, as well as computer implementation of algorithms. Most of the papers are motivated by problems arising from geophysical research and applications both on a global scale and with respect to local geophysical surveys, underlining the increasing importance of geophysical exploration methods in various fields, such as structural geology, prospecting for mineral and energy resources, hydro geology, geotechnology, environmental protection and archaeology. The first section of the book deals with basic mathematics and general theory underlying geophysical data inversion. Papers presented here are concerned with stabilization algorithms to solve ill-posed inverse problems, sensitivity of kernel function estimations to random data errors and reduction of errors in inverse modelling of response functions by linear constraints, numerical procedures for approximating the solution to boundary value problems, accuracy and stability of inverse ill-posed problems constituted by problems of moments, and fast Fourier transforms for solving potential field problems. The second section contains papers on gravity and magnetics, dealing with the solvability of the inverse gravimetric problem for sources represented by point masses and other elementary, solution of the inverse problem in cases of nonuniformly distributed data as obtained by palaeomagnetic studies, satellite observations, and surface projections of buried archaeological targets by inverse filtering of geomagnetic data.

Geophysical Data Analysis: Understanding Inverse Problem Theory and Practice

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Release : 1994
Genre : Geophysics
Kind : eBook
Book Rating : 57X/5 ( reviews)

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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. This book was released on 1994. 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.

Geophysical Data Analysis: Discrete Inverse Theory

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Release : 2012-12-02
Genre : Science
Kind : eBook
Book Rating : 285/5 ( reviews)

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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. This book was released on 2012-12-02. 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 Theory and Applications in Geophysics

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Release : 2015-07-15
Genre : Science
Kind : eBook
Book Rating : 12X/5 ( reviews)

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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. This book was released on 2015-07-15. 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

Geophysical Data Analysis: Discrete Inverse Theory

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Release : 2012-06-26
Genre : Science
Kind : eBook
Book Rating : 843/5 ( reviews)

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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. This book was released on 2012-06-26. Available in PDF, EPUB and Kindle. Book excerpt: Since 1984, Geophysical Data Analysis has filled the need for a short, concise reference on inverse theory for individuals who have an intermediate background in science and mathematics. The new edition maintains the accessible and succinct manner for which it is known, with the addition of: MATLAB examples and problem sets Advanced color graphics Coverage of new topics, including Adjoint Methods; Inversion by Steepest Descent, Monte Carlo and Simulated Annealing methods; and Bootstrap algorithm for determining empirical confidence intervals Additional material on probability, including Bayesian influence, probability density function, and metropolis algorithm Detailed discussion of application of inverse theory to tectonic, gravitational and geomagnetic studies Numerous examples and end-of-chapter homework problems help you explore and further understand the ideas presented Use as classroom text facilitated by a complete set of exemplary lectures in Microsoft PowerPoint format and homework problem solutions for instructors

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