Wavelets in Geophysics

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Overview

The study of wavelets grew from Jean Morlet's geophysical work on seismic signals. Since then wavelets have been developed extensively by mathematicians and others. Wavelets in Qeophysics brings wavelets back to their roots in geophysics. This book shows how geophysical researchers are using wavelets to analyze such diverse phenomena as intermittent atmospheric turbulence, seafloor bathymetry, marine and other seismic data, and flow in aquifers. Used to detect signals against noise, wavelet analysis excels for analyzing transients or spatially localized phenomena. In this fourth volume in the renowed Wavelet Analysis and its Applications series, Eli Foufoula-Grorgiou and Praveen Kumar begin with an overview of nature, power, and scope of wavelet transforms. The eleven chapters that follow will make informative reading for geophysics seeking an up-to-date account of how these tools are being used, as well as for wavelet researchers looking for ideas for applications or even new points of departure.

Audience: Researchers and practitioners in geophysics, civil engineering, mineral engineering, petroleum engineering, and applied mathematics.

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Editorial Reviews

From the Publisher
This is certainly a favorable book for someone seeking an account of wavelet applications in earth sciences. Do we recommend buying it? Yes, as long as you possess a complementary book more throughly detailing the fundamentals ofwavelet theory.
--PAGEOPH
This book brings wavelets back to (the) earth, and provides a good reference for any researcher who is interested in the applications of wavelet transforms in geophysics....Geophysics covers a very wide study area--from the atmosphere, several hundred miles high, to the very center of the earth. In this sense, the book itself is localized in both time and space.
Only in the past couple of years have geophysicists started to reevaluate the use of wavelet transformsin their applications. Thus it is very encouraging to find a new publication detailing some recent developments and applications of the use of wavelet transforms in geophysics.
--Mathematics of Computation
The book under review is of definite interest to all applied researchers in the field. ...this book is very timely: the papers cover a wide range of applications and the results are well presented. We recommend this book without hesitation to any researcher, practitioner or student in geophysics.
--MATHEMATICS OF COMPUTATION
Booknews
A dozen papers use wavelet transforms for understanding, analyzing, and describing geophysical processes such as atmospheric turbulence, ocean wind waves, hydraulic conductivity, seafloor bathymetry, seismic data, and long-memory geophysical processes. They also apply the approach to the detection of signals from noisy data and multifractal analysis. The collection provides an update for practicing geophysicists and an inspiration for researchers seeking areas in which to apply their results. Most of the papers were presented at the American Geophysical Union meeting in Baltimore in May 1993. In addition to the index, the back matter contains a detailed table of contents. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

Table of Contents

P. Kumar and E. Foufoula-Georgiou, Wavelet Analysis in Geophysics: An Introduction. C.R. Hagelberg and N.K.K. Gamage, Applications of Structure Preserving Wavelet Decompositions to Intermittent Turbulence: A Case Study. G.G. Katul, J.D. Albertson, C.R. Chu, and M.B. Parlange, Intermittency in Atmospheric Surface Layer Turbulence: The Orthonormal Wavelet Representation. J.F. Howell and L. Mahrt, An Adaptive Decomposition: Application to Turbulence. Y.Brunet and S. Collineau, Wavelet Analysis of Diurnal and Nocturnal Turbulence above a Maize Crop. P.C. Liu, Wavelet Spectrum Analysis and Ocean Wind Waves. S.A. Little, Wavelet Analysis of Seafloor Bathymetry: An Example. C.J. Pike, Analysis of High Resolution Marine Seismic Data Using the Wavelet Transform. K.E. Brewer and S.W. Wheatcraft, Including Multi-Scale Information in the Characterization of Hydraulic Conductivity Distributions. A. Davis, A. Marshak, and W. Wiscombe, Wavelet-Based Multifractal Analysis of Non-Stationary and/or Intermittent Geophysical Signals. N. Saito, Simultaneous Noise Suppression and Signal Compression Using a Library of Orthonormal Bases and the Minimum Description Length Criterion. D.B. Percival and P. Guttorp, Long-Memory Processes, the Allan Variance and Wavelets. Bibliography. Subject Index.
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