David Gubbins

Time Series Analysis and Inverse Theory for Geophysicists

• Broschiertes Buch

Produktbeschreibung

Covering spectral analysis as well as inversion of geophysical data, David Gubbins introduces the necessary theory and techniques and then demonstrates how they may be practically applied to interpret various types of geophysical signals, including seismic, magnetic and gravity data. Featuring summary boxes, extensive mathematical and computing exercises (solutions and software available on the Internet), and a set of mathematical appendices, this textbook will prove invaluable to geophysics students and instructors.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 272
• Erscheinungstermin: 30. Juni 2010
• Englisch
• Abmessung: 244mm x 170mm x 15mm
• Gewicht: 475g
• ISBN-13: 9780521525695
• ISBN-10: 0521525691
• Artikelnr.: 21157858

Inhaltsangabe

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.