Time Series Analysis and Inverse Theory for Geophysicists

David Gubbins

• Publisher: Cambridge University Press
• Year: 2004
• Print ISBN: 9780521819657
• eBook ISBN: 9781316038239
• Topic: Physical Sciences
• Subtopic: Geophysics

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

Table of contents

• Cover
• Frontmatter
• Contents
• Preface
• Acknowledgements
• List of illustrations
• Introduction
• Processing
• Inversion
• Applications
• 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