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Geophysics --- -Wavelets (Mathematics) --- Mathematics --- Geophysics - - Mathematics --- Wavelets (Mathematics)

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Chaotic behavior in systems --- Fractals --- Chaotic behavior in systems. --- Fractals. --- Geology - Mathematics. --- Geophysics - Mathematics. --- Fracture mechanics.

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Classical mechanics. Field theory --- Chaos in systems --- Chaotic behavior in systems --- Chaotic motion in systems --- Chaotisch gedrag in de systemen --- Comportement chaotique dans les systèmes --- Fractales --- Fractals --- Geology --- Geophysics --- Chaos --- Géologie --- Géophysique --- Mathematics --- Mathématiques --- Géologie --- Géophysique --- Mathématiques --- Geology - Mathematics. --- Geophysics - Mathematics. --- Fractals. --- Chaotic behavior in systems. --- Geology - Mathematics --- Geophysics - Mathematics

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This book is intended to be an introduction to the fundamentals and methods of spectral analysis and filter theory and their appli­ cations in geophysics. The principles and theoretical basis of the various methods are described, their efficiency and effectiveness eval­ uated, and instructions provided for their practical application. Be­ sides the conventional methods, newer methods arediscussed, such as the spectral analysis ofrandom processes by fitting models to the ob­ served data, maximum-entropy spectral analysis and maximum-like­ lihood spectral analysis, the Wiener and Kalman filtering methods, homomorphic deconvolution, and adaptive methods for nonstation­ ary processes. Multidimensional spectral analysis and filtering, as well as multichannel filters, are given extensive treatment. The book provides a survey of the state-of-the-art of spectral analysis and fil­ ter theory. The importance and possibilities ofspectral analysis and filter theory in geophysics for data acquisition, processing and eval­ uation are illustrated with practical examples from various fields of applied geophysics. Although this book was planned primarily as a textbook for a course on the analysis of geophysical time· series, it may also be of interest to scientists and engineers who process other digital data. It provides a comprehensive discussion of the theoretical fundamen­ tals and a compilation of the extensive literature on the subject. I hope that I have succeeded in presenting the various principles and methods of time-series analysis comprehensively and without error. Comments on errors or suggestions for improvements are welcome.

Spectral theory (Mathematics) --- Filters (Mathematics) --- Geophysics --- Mathematics --- Functional analysis. --- Geology. --- Physical geography. --- Physics. --- Physics --- Physical Sciences & Mathematics --- Cosmic Physics --- Mathematics. --- Geophysics and Environmental Physics. --- Functional Analysis. --- Geophysics/Geodesy. --- Astronomy, Observations and Techniques. --- Astrophysics and Astroparticles. --- Geography --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Geognosy --- Geoscience --- Earth sciences --- Natural history --- Geophysics. --- Observations, Astronomical. --- Astronomy—Observations. --- Astrophysics. --- Astronomical physics --- Astronomy --- Cosmic physics --- Astronomical observations --- Observations, Astronomical --- Geological physics --- Terrestrial physics --- Geophysics - Mathematics

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Researchers in the field of exploration geophysics have developed new methods for the acquisition, processing and interpretation of gravity and magnetic data, based on detailed investigations of bore wells around the globe. Fractal Models in Exploration Geophysics describes fractal-based models for characterizing these complex subsurface geological structures. The authors introduce the inverse problem using a fractal approach which they then develop with the implementation of a global optimization algorithm for seismic data: very fast simulated annealing (VFSA). This approach

Fractals. --- Geology, Stratigraphic. --- Geophysics - Mathematics. --- Hydrocarbon reservoirs. --- Hydrocarbon reservoirs -- Mathematical models. --- Oil reservoir engineering. --- Prospecting - Geophysical methods. --- Fractals --- Geophysics --- Hydrocarbon reservoirs --- Prospecting --- Mechanical Engineering --- Geology --- Engineering & Applied Sciences --- Earth & Environmental Sciences --- Mining Engineering --- Geology - General --- Metallurgy & Mineralogy --- Mathematics --- Geophysical methods --- Petroleum --- Petroleum reserves --- Geology, Structural --- Mathematics. --- Mathematical models. --- Geotectonics --- Structural geology --- Tectonics (Geology) --- Physical geology --- Fractal geometry --- Fractal sets --- Geometry, Fractal --- Sets, Fractal --- Sets of fractional dimension --- Dimension theory (Topology) --- Oil reserves --- Oil supply --- Petroleum supply --- Reserves of petroleum --- Oil fields --- Coal-oil --- Crude oil --- Oil --- Caustobioliths --- Mineral oils --- Reserves