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Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000010082900 | QC809.M37 G82 2004 | Open Access Book | Book | Searching... |
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Summary
Summary
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
| 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 |
