Wavelets in GeophysicsEdited by
- Praveen Kumar, MD, Northwestern University Feinberg School of Medicine, Chicago, IL
- Efi Foufoula-Georgiou, St. Anthony Falls Hydraulic Laboratory, University of Minnesota
Applications of wavelet analysis to the geophysical sciences grew from Jean Morlet's work on seismic signals in the 1980s. Used to detect signals against noise, wavelet analysis excels for transients or for spatiallylocalized phenomena. In this fourth volume in the renown WAVELET ANALYSIS AND ITS APPLICATIONS Series, Efi Foufoula-Georgiou and Praveen Kumar begin with a self-contained overview of the nature, power, and scope of wavelet transforms. The eleven originalpapers that follow in this edited treatise show 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 aquifiers. Wavelets in Geophysics will make informative reading for geophysicists seeking an up-to-date account of how these tools are being used as well as for wavelet researchers searching for ideas for applications, or even new points of departure.
Researchers and practitioners in geophysics, civil engineering, mineral engineering, petroleum engineering, and applied mathematics.
Wavelet Analysis and Its Applications
Hardbound, 373 Pages
Published: September 1994
Imprint: Academic Press
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.
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
- 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.