Seismic ray theory [E-Book] / V. Cerveny.
Červený, Vlastislav, (author)
Cambridge : Cambridge University Press, 2001
1 online resource (viii, 713 pages)
englisch
9780521018227
9780511529399
9780521366717
Full Text
Table of Contents:
  • 1. Introduction
  • 2. The Elastodynamic Equation and its Simple Solutions
  • 2.1. Linear Elastodynamics
  • 2.2. Elastic Plane Waves
  • 2.3. Elastic Plane Waves Across a Plane Interface
  • 2.4. High-Frequency Elastic Waves in Smoothly Inhomogeneous Media
  • 2.5. Point-Source Solutions. Green Functions
  • 2.6. Application of Green Functions to the Construction of More General Solutions
  • 3. Seismic Rays and Travel Times
  • 3.1. Ray Tracing Systems in Inhomogeneous Isotropic Media
  • 3.2. Rays in Laterally Varying Layered Structures
  • 3.3. Ray Tracing
  • 3.4. Analytical Ray Tracing
  • 3.5. Ray Tracing in Curvilinear Coordinates
  • 3.6. Ray Tracing in Inhomogeneous Anisotropic Media
  • 3.7. Ray Tracing and Travel-Time Computations in 1-D Models
  • 3.8. Direct Computation of Travel Times and/or Wavefronts
  • 3.9. Perturbation Methods for Travel Times
  • 3.10. Ray Fields
  • 3.11. Boundary-Value Ray Tracing
  • 3.12. Surface-Wave Ray Tracing
  • 4. Dynamic Ray Tracing. Paraxial Ray Methods
  • 4.1. Dynamic Ray Tracing in Ray-Centered Coordinates
  • 4.2. Hamiltonian Approach to Dynamic Ray Tracing
  • 4.3. Propagator Matrices of Dynamic Ray Tracing Systems
  • 4.4. Dynamic Ray Tracing in Isotropic Layered Media
  • 4.5. Initial Conditions for Dynamic Ray Tracing
  • 4.6. Paraxial Travel-Time Field and Its Derivatives
  • 4.7. Dynamic Ray Tracing in Cartesian Coordinates
  • 4.8. Special Cases. Analytical Dynamic Ray Tracing
  • 4.9. Boundary-Value Ray Tracing for Paraxial Rays
  • 4.10. Geometrical Spreading in a Layered Medium
  • 4.11. Fresnel Volumes
  • 4.12. Phase Shift Due to Caustics. KMAH Index
  • 4.13. Dynamic Ray Tracing Along a Planar Ray. 2-D Models
  • 4.14. Dynamic Ray Tracing in Inhomogeneous Anisotropic Media
  • 5. Ray Amplitudes
  • 5.1. Acoustic Case
  • 5.2. Elastic Isotropic Structures
  • 5.3. Reflection/Transmission Coefficients for Elastic Isotropic Media
  • 5.4. Elastic Anisotropic Structures
  • 5.5. Weakly Dissipative Media
  • 5.6. Ray Series Method. Acoustic Case
  • 5.7. Ray-Series Method. Elastic Case
  • 5.8. Paraxial Displacement Vector. Paraxial Gaussian Beams
  • 5.9. Validity Conditions and Extensions of the Ray Method
  • 6. Ray Synthetic Seismograms
  • 6.1. Elementary Ray Synthetic Seismograms
  • 6.2. Ray Synthetic Seismograms
  • 6.3. Ray Synthetic Seismograms in Weakly Dissipative Media
  • 6.4. Ray Synthetic Particle Ground Motions
  • App. A. Fourier Transform, Hilbert Transform, and Analytical Signals.