Seismic ray theory /
Červený, Vlastislav,
Seismic ray theory / V. Cerveny. - Cambridge : Cambridge University Press, 2001. - 1 online resource (viii, 713 pages) : digital, PDF file(s).
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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.
Seismic Ray Theory presents a comprehensive treatment of the seismic ray method. This method plays an important role in seismology, seismic exploration, and in the interpretation of seismic measurements. Many concepts which extend the possibilities and increase the efficiency of the seismic ray method are included. The book has a tutorial character: derivations start with a relatively simple problem, in which the main ideas are easier to explain, and then advance to more complex problems. Most of the derived equations in the book are expressed in algorithmic form and may be used directly for computer programming. This book will prove to be an invaluable advanced textbook and reference volume in all academic institutions in which seismology is taught or researched. It will also be an invaluable resource in the research and exploration departments of the petroleum industry and in geological surveys.
9780511529399 (ebook)
Seismic waves--Mathematical models.
QE538.5 / .C465 2001
551.22/01/5118
Seismic ray theory / V. Cerveny. - Cambridge : Cambridge University Press, 2001. - 1 online resource (viii, 713 pages) : digital, PDF file(s).
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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.
Seismic Ray Theory presents a comprehensive treatment of the seismic ray method. This method plays an important role in seismology, seismic exploration, and in the interpretation of seismic measurements. Many concepts which extend the possibilities and increase the efficiency of the seismic ray method are included. The book has a tutorial character: derivations start with a relatively simple problem, in which the main ideas are easier to explain, and then advance to more complex problems. Most of the derived equations in the book are expressed in algorithmic form and may be used directly for computer programming. This book will prove to be an invaluable advanced textbook and reference volume in all academic institutions in which seismology is taught or researched. It will also be an invaluable resource in the research and exploration departments of the petroleum industry and in geological surveys.
9780511529399 (ebook)
Seismic waves--Mathematical models.
QE538.5 / .C465 2001
551.22/01/5118