Wavelets in Geophysics

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.

Includes twelve original papers written by experts in the geophysical sciencesProvides a self-contained overview of the nature, power, and scope of wavelet transformsPresents applications of wavelets to geophysical phenomena such as: The sharp events of seismic data, Long memory processes, such as fluctuation in the level of the Nile, A structure preserving decomposition of turbulence signals

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.