Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Symbols
- 1 Vectors, Tensors, and Fourier Transforms
- 2 Stress, Strain, and Seismic Waves
- 3 Reflection and Transmission of Plane Waves
- 4 Surface Waves, Head Waves, and Normal Modes
- 5 Waves in Heterogeneous Media
- 6 Data Transformations
- 7 Synthetic Seismograms
- 8 Seismic Migration
- 9 Plane Waves in Anisotropic Media
- 10 Plane Waves in Anelastic Media
- Answers to Selected Exercises
- References
- Index
1 - Vectors, Tensors, and Fourier Transforms
Published online by Cambridge University Press: 15 March 2019
- Frontmatter
- Dedication
- Contents
- Preface
- Symbols
- 1 Vectors, Tensors, and Fourier Transforms
- 2 Stress, Strain, and Seismic Waves
- 3 Reflection and Transmission of Plane Waves
- 4 Surface Waves, Head Waves, and Normal Modes
- 5 Waves in Heterogeneous Media
- 6 Data Transformations
- 7 Synthetic Seismograms
- 8 Seismic Migration
- 9 Plane Waves in Anisotropic Media
- 10 Plane Waves in Anelastic Media
- Answers to Selected Exercises
- References
- Index
Summary
This chapter is a review of much of the mathematical knowledge required for the basic seismic wave theory covered in the book. The topics covered are vector algebra, vector calculus, vector identities used in seismic wave theory, curvilinear coordinates, rotation of coordinates, tensor analysis, Fourier transforms, and convolution.
Keywords
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- Information
- Seismic Wave Theory , pp. 1 - 50Publisher: Cambridge University PressPrint publication year: 2019