Time Series Analysis and Inverse Theory for Geophysicists

This unique textbook provides the foundation for understanding and applying techniques commonly used in geophysics to process and interpret modern digital data. The geophysicist's toolkit contains a range of techniques which may be divided into two main groups: processing, which concerns time series analysis and is used to separate the signal of interest from background noise; and inversion, which involves generating some map or physical model from the data. These two groups of techniques are normally taught separately, but are here presented together as parts I and II of the book. Part III describes some real applications and includes case studies in seismology, geomagnetism, and gravity. This textbook gives students and practitioners the theoretical background and practical experience, through case studies, computer examples and exercises, to understand and apply new processing methods to modern geophysical datasets. Solutions to the exercises are available on a website at http://publishing.cambridge.org/resources/0521819652

ISBN 0521525691   DEWEY edition DC22 ISBN13 9780521525695 (What's this?)   Pages 272 Publisher Cambridge University Press   Volumes 1 Imprint Cambridge University Press   Weight (grammes) 440 Format Paperback   Published in Cambridge Publication date 18 Mar 2004   Height (mm) 247 Non-book description xv, 255 p. :   Width (mm) 174 Library of Congress QC809.M37   Spine width (mm) 15 DEWEY 550.151   Academic level Tertiary education, Professional / Scholarly

1. Introduction; Part I. Processing: 2. Mathematical preliminaries; 3. Practical estimation of spectra; 4. Filtering; 5. Processing two-dimensional data; Part II. Inversion: 6. Linear parameter estimation; 7. The underdetermined problem; 8. Nonlinear inverse problems; 9. Continuous inverse theory; Part III. Applications: 10. Fourier analysis as an inverse problem; 11. Seismic travel times and tomography; 12. Geomagnetism; Appendix 1. Fourier series; Appendix 2. The Fourier integral transform; Appendix 3. Shannon's sampling theorem; Appendix 4. Linear algebra; Appendix 5. Vector spaces and the function space; Appendix 6. Lagrange multipliers and penalty parameters; Appendix 7. Files for the computer exercises; References; Index.

'... this excellent textbook fills a much neglected gap ... the group that will benefit most from its guidance will be future generations of geophysics students ...' Journal of Geological Magazine 'For the student, this is an excellent text well suited for its intended level of instruction with many exercises following each chapter, some requiring computer programs obtainable from various web sites. ... I suggest that any instructor planning to teach time series and inverse theory examine this book as a potential text . ... In summary, this book has more than adequately filled the role for which it was written, namely as a text for introductory courses in time series analysis and inverse theory.' The Leading Edge "Any body with an interest in geophysical time series and inverse problems is truly well served with this beautifully written volume.' The Leading Edge

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