Discrete Inverse Theory

Author: William Menke

Publisher: Academic Press

ISBN: 0128135565

Category: Science

Page: 352

View: 562

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
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MATLAB Edition

Author: William Menke

Publisher: Academic Press

ISBN: 0123977843

Category: Science

Page: 330

View: 9806

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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Author: E. R. Kanasewich

Publisher: University of Alberta

ISBN: 9780888640741

Category: Science

Page: 480

View: 6872

Time sequence analysis is the study of relations between a sequence of data points or sequence of signals in order to determine the physical properties of the earth. Providing an up-to-date treatment on time series and time sequence, this book is intended for senior or graduate students in seismology, geomagnetism and exploratory geophysics.
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Application to Geophysical Problems

Author: V. Dimri

Publisher: Elsevier

ISBN: 1483291375

Category: Science

Page: 249

View: 4969

This is the first study to present simultaneously both deconvolution and inversion, two powerful tools of data analysis. Featured within this volume are various geophysical convolution models and a treatment of deconvolution for a time-varying signal. The single channel time-varying deconvolution is shown equivalent to the multichannel time-invariant deconvolution, thus a formalism and associated algorithms can handle both. Inverse theory as well as various inversion schemes are presented on the basis of a relationship between a small perturbation to the model and its effects on the observation. The information theory inversion scheme is discussed, and several types of norm of minimization presented. Additionally, concepts and results of inverse theory are applied to design a new deconvolution operator for estimating magnetization and density distribution, and the constraint of the Backus-Gilbert formalism of inverse theory is used to design a new prediction error filter for maximum entropy spectral estimates. Maximum likelihood, another high resolution method is also presented. This volume can be utilised as a graduate-level text for courses in Geophysics. Some chapters will be of use for graduate courses in Applied Mathematics, Applied Statistics, and Oceanography.
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Author: Yanghua Wang

Publisher: Wiley-Blackwell


Category: Nature

Page: 238

View: 7189

Seismic inverse Q filtering is a data processing technology for enhancing the resolution of seismic images. It employs a wave propagation reversal procedure that compensates for energy absorption and corrects wavelet distortion due to velocity dispersion. By compensating for amplitude attenuation, seismic data can provide true relative-amplitude information for amplitude inversion and subsequent reservoir characterization. By correcting the phase distortion, seismic data with enhanced vertical resolution can yield correct timings for lithological identification. This monograph presents the theory of inverse Q filtering and a series of algorithms, collected with the following selection criteria in mind: robustness, effectiveness and practicality. The book is written for processing geophysicists who are attempting to improve the quality of seismic data in terms of resolution and signal-to-noise ratio, as well as for reservoir geophysicists who are concerned about seismic fidelity in terms of true amplitudes, true timings and true frequencies. It will also be particularly valuable as a guide for seasoned geophysicists who are attempting to develop seismic software for various research settings. Finally, it can be used as a reference work or textbook for postgraduate students in seismic and reservoir geophysics.
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Understanding Inverse Problem Theory and Practice

Author: N.A

Publisher: SEG Books

ISBN: 156080257X

Category: Electronic books

Page: 296

View: 4846

Geophysical data analysis is a very practical subject and this book is intended to be a simple guide to the techniques of parameter estimation and error analysis. I have placed emphasis on the reconciliation of theory and practical data to enable the reader understand how to tackle typical problems in data analysis. It is hoped that a mastery of the simple techniques described in this book will inspire confidence in the reader to consult the more classical treatment of the subject. It is pertinent to mention that this book developed out of a highly successful course of the same title given to senior undergraduate geophysics students in Leicester University since 1988 and its popularity stems from the structured learning programs and the simple effective practical approach to geophysical inversion. The course is given in the first semester to provide students with the basic tools for quantitative analysis of geoscientific data and consists of 10 lectures and practical sessions involving the materials given in Chapters 1 to 9 in this book. Chapter 10 derives from topical issues of research interest to me and my induction courses for postgraduate students in geophysics and the industry. The contents of this book are easily digestible and require little statistical or mathematical commitment.
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Author: David Gubbins

Publisher: Cambridge University Press

ISBN: 9780521379953

Category: Science

Page: 339

View: 9208

This introduction to seismological theory and the principles of plate tectonics also develops a practical approach to the interpretation of seismograms for physicists and mathematicians as well as geologists.
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Author: Richard C. Aster,Brian Borchers,Clifford H. Thurber

Publisher: Elsevier

ISBN: 0128134232

Category: Science

Page: 404

View: 4848

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. Complemented by a companion website that includes MATLAB codes that correspond to all examples 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
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Author: Vladimir Troyan,Yurii Kiselev

Publisher: World Scientific

ISBN: 981429375X

Category: Electronic books

Page: 436

View: 7748

This textbook contains a consideration of the wide field of problems connected with statistical methods of processing of observed data, with the main examples and considered models related to geophysics and seismic exploration. This textbook will be particularly helpful to students and professionals from various fields of physics, connected with an estimation of the parameters of the physical objects by experimental data. The reader can also find many important topics, which are the basis for statistical methods of estimation and inverse problem solutions.
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theory and practice 6 : hydrological, geophysical, and spatial applications : proceedings of the international conferenece held at Toronto, Canada, 10-14 August 1983

Author: Oliver Duncan Anderson,J. K. Ord,Enders A. Robinson

Publisher: North Holland

ISBN: 9780444876836

Category: Science

Page: 308

View: 2061

Good,No Highlights,No Markup,all pages are intact, Slight Shelfwear,may have the corners slightly dented, may have slight color changes/slightly damaged spine.
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Author: Alfred Osborne

Publisher: Academic Press

ISBN: 9780080925103

Category: Science

Page: 944

View: 7442

For more than 200 years, the Fourier Transform has been one of the most important mathematical tools for understanding the dynamics of linear wave trains. Nonlinear Ocean Waves and the Inverse Scattering Transform presents the development of the nonlinear Fourier analysis of measured space and time series, which can be found in a wide variety of physical settings including surface water waves, internal waves, and equatorial Rossby waves. This revolutionary development will allow hyperfast numerical modelling of nonlinear waves, greatly advancing our understanding of oceanic surface and internal waves. Nonlinear Fourier analysis is based upon a generalization of linear Fourier analysis referred to as the inverse scattering transform, the fundamental building block of which is a generalized Fourier series called the Riemann theta function. Elucidating the art and science of implementing these functions in the context of physical and time series analysis is the goal of this book. Presents techniques and methods of the inverse scattering transform for data analysis Geared toward both the introductory and advanced reader venturing further into mathematical and numerical analysis Suitable for classroom teaching as well as research
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Author: J. Bee Bednar

Publisher: SIAM

ISBN: 9780898712735

Category: Science

Page: 453

View: 1660

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.
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Author: Wolfgang Torge

Publisher: Walter de Gruyter

ISBN: 3110198177

Category: Science

Page: 379

View: 6840

Das Buch gibt einen systematischen Überblick über die grundlegenden Theorien, die Bezugssysteme und die Mess- und Auswertemethoden der Geodäsie, wobei der Beitrag der geodätischen Raumtechniken zur Positionierung und zur Schwerefeldbestimmung besonders herausgestellt wird. Diese Methoden haben auch zu einem für die Praxis wichtigen Wandel in der Einrichtung geodätischer Grundlagennetze geführt. Zur interdisziplinären Geodynamikforschung kann die Geodäsie damit ebenfalls wesentliche Beiträge leisten. Der gegenwärtige Stand der Geodäsie wird durch eine Vielzahl von Beispielen aus Messung, Auswertung und Analyse illustriert, ein umfangreiches Literaturverzeichnis erleichtert ein weitergehendes Studium. Das Buch vermittelt einen umfassenden Überblick über die tiefgreifenden Veränderungen, welche die Geodäsie in den vergangenen zwanzig Jahren erfahren hat.
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