Time Series Analysis and Inverse Theory for Geophysicists

David Gubbins (Autor)

Buch | Softcover

272 Seiten

2004
Cambridge University Press (Verlag)
978-0-521-52569-5 (ISBN)

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This is the first textbook to cover spectral analysis and inversion of geophysical data at a level appropriate for undergraduate and graduate students. It introduces the necessary theory and techniques and shows how these may be applied in order to interpret geophysical signals including seismic, magnetic and gravity data.

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

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.

Erscheint lt. Verlag	18.3.2004
Zusatzinfo	Worked examples or Exercises; 7 Tables, unspecified; 7 Halftones, unspecified; 42 Line drawings, unspecified
Verlagsort	Cambridge
Sprache	englisch
Maße	177 x 248 mm
Gewicht	620 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Themenwelt	Naturwissenschaften ► Geowissenschaften ► Geophysik
ISBN-10	0-521-52569-1 / 0521525691
ISBN-13	978-0-521-52569-5 / 9780521525695
Zustand	Neuware