Information-Based Inversion and Processing with Applications

by T.J. Ulrych, M.D. Sacchi

Overview

Information-Based Inversion and Processing with Applications examines different classical and modern aspects of geophysical data processing and inversion with emphasis on the processing of seismic records in applied seismology.

Chapter 1 introduces basic concepts including: probability theory (expectation operator and ensemble statistics), elementary principles of parameter estimation, Fourier and z-transform essentials, and issues of orthogonality. In Chapter 2, the linear treatment of time series is provided. Particular attention is paid to Wold decomposition theorem and time series models (AR, MA, and ARMA) and their connection to seismic data analysis problems. Chapter 3 introduces concepts of Information theory and contains a synopsis of those topics that are used throughout the book. Examples are entropy, conditional entropy, Burg's maximum entropy spectral estimator, and mutual information. Chapter 4 provides a description of inverse problems first from a deterministic point of view, then from a probabilistic one. Chapter 5 deals with methods to improve the signal-to-noise ratio of seismic records. Concepts from previous chapters are put in practice for designing prediction error filters for noise attenuation and high-resolution Radon operators. Chapter 6 deals with the topic of deconvolution and the inversion of acoustic impedance. The first part discusses band-limited extrapolation assuming a known wavelet and considers the issue of wavelet estimation. The second part deals with sparse deconvolution using various 'entropy' type norms. Finally, Chapter 7 introduces recent topics of interest to the authors.

The emphasis of this book is on applied seismology but researchers in the area of global seismology, and geophysical signal processing and inversion will find material that is relevant to the ubiquitous problem of estimating complex models from a limited number of noisy observations.

Product Details

ISBN-13:	9780080447216
Publisher:	Elsevier Science
Publication date:	01/18/2006
Series:	Handbook of Geophysical Exploration: Seismic Exploration , #36
Pages:	436
Product dimensions:	6.50(w) x 9.45(h) x (d)

Table of Contents

Chapter 1: Some Basic Concepts

Chapter 2: Linear Time Series Modelling

Chapter 3: Information Theory and Relevant Issues

Chapter 4: The Inverse Problem

Chapter 5: Signal to Noise Enhancement

Chapter 6: Deconvolution with Applications to Seismology

Chapter 7: A Potpourri of Some Favorite Techniques

Bibliography

Index

What People are Saying About This

From the Publisher

Classical and modern aspects of geophysical data processing and inversion

Editorial Reviews

"The book is beautifully produced and very well referenced...[it] should be available in all technical libraries. Some readers will feel that they must have the book. All geophysicists should have a look..." —Ronald Green for THE LEADING EDGE

From the Publisher