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Seismic ray theory:

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Bibliographic Details
Main Author:	Červený, Vlastislav 1932- (Author)
Format:	Book
Language:	English
Published:	Cambridge [u.a.] Cambridge Univ. Press 2001
Edition:	1. publ.
Subjects:	Ondes sismiques - Modèles mathématiques Mathematisches Modell Seismic waves > Mathematical models Seismische Welle
Online Access:	Inhaltsverzeichnis
Physical Description:	VIII, 713 S. graph. Darst.
ISBN:	0521366712

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adam_text	Contents Preface page vii 1 INTRODUCTION 1 2 THE ELASTODYNAMIC EQUATION AND ITS SIMPLE SOLUTIONS 7 2.1. Linear Elastodynamics 8 2.2. Elastic Plane Waves 19 2.3. Elastic Plane Waves Across a Plane Interface 37 2.4. High Frequency Elastic Waves in Smoothly Inhomogeneous Media 53 2.5. Point Source Solutions. Green Functions 73 2.6. Application of Green Functions to the Construction of More General Solutions 89 3 SEISMIC RAYS AND TRAVEL TIMES 99 3.1. Ray Tracing Systems in Inhomogeneous Isotropic Media 102 3.2. Rays in Laterally Varying Layered Structures 117 3.3. Ray Tracing 124 3.4. Analytical Ray Tracing 129 3.5. Ray Tracing in Curvilinear Coordinates 137 3.6. Ray Tracing in Inhomogeneous Anisotropic Media 148 3.7. Ray Tracing and Travel Time Computations in 1 D Models 160 3.8. Direct Computation of Travel Times and/or Wavefronts 178 3.9. Perturbation Methods for Travel Times 189 3.10. Ray Fields 199 3.11. Boundary Value Ray Tracing 217 3.12. Surface Wave Ray Tracing 228 4 DYNAMIC RAY TRACING. PARAXIAL RAY METHODS 234 4.1. Dynamic Ray Tracing in Ray Centered Coordinates 237 4.2. Hamiltonian Approach to Dynamic Ray Tracing 259 4.3. Propagator Matrices of Dynamic Ray Tracing Systems 278 4.4. Dynamic Ray Tracing in Isotropic Layered Media 289 4.5. Initial Conditions for Dynamic Ray Tracing 310 4.6. Paraxial Travel Time Field and Its Derivatives 322 4.7. Dynamic Ray Tracing in Cartesian Coordinates 331 4.8. Special Cases. Analytical Dynamic Ray Tracing 341 v vi CONTENTS 4.9. Boundary Value Ray Tracing for Paraxial Rays 348 4.10. Geometrical Spreading in a Layered Medium 356 4.11. Fresnel Volumes 372 4.12. Phase Shift Due to Caustics. KM AH Index 380 4.13. Dynamic Ray Tracing Along a Planar Ray. 2 D Models 384 4.14. Dynamic Ray Tracing in Inhomogeneous Anisotropic Media 400 5 RAY AMPLITUDES 417 5.1. Acoustic Case 419 5.2. Elastic Isotropic Structures 449 5.3. Reflection/Transmission Coefficients for Elastic Isotropic Media 477 5.4. Elastic Anisotropic Structures 504 5.5. Weakly Dissipative Media 542 5.6. Ray Series Method. Acoustic Case 549 5.7. Ray Series Method. Elastic Case 567 5.8. Paraxial Displacement Vector. Paraxial Gaussian Beams 582 5.9. Validity Conditions and Extensions of the Ray Method 607 6 RAY SYNTHETIC SEISMOGRAMS 621 6.1. Elementary Ray Synthetic Seismograms 622 6.2. Ray Synthetic Seismograms 630 6.3. Ray Synthetic Seismograms in Weakly Dissipative Media 639 6.4. Ray Synthetic Particle Ground Motions 643 APPENDIX A FOURIER TRANSFORM, HUBERT TRANSFORM, AND ANALYTICAL SIGNALS 661 A.I. Fourier Transform 661 A.2. Hilbert Transform 663 A.3. Analytical Signals 664 References 667 Index 697
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discipline	Geologie / Paläontologie Geographie
edition	1. publ.
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indexdate	2024-07-09T18:56:13Z
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isbn	0521366712
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spelling	Červený, Vlastislav 1932- Verfasser (DE-588)123778123 aut Seismic ray theory V. Červen'y 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2001 VIII, 713 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Ondes sismiques - Modèles mathématiques Mathematisches Modell Seismic waves Mathematical models Seismische Welle (DE-588)4180762-5 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Seismische Welle (DE-588)4180762-5 s Mathematisches Modell (DE-588)4114528-8 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009598992&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Červený, Vlastislav 1932- Seismic ray theory Ondes sismiques - Modèles mathématiques Mathematisches Modell Seismic waves Mathematical models Seismische Welle (DE-588)4180762-5 gnd Mathematisches Modell (DE-588)4114528-8 gnd
subject_GND	(DE-588)4180762-5 (DE-588)4114528-8
title	Seismic ray theory
title_auth	Seismic ray theory
title_exact_search	Seismic ray theory
title_full	Seismic ray theory V. Červen'y
title_fullStr	Seismic ray theory V. Červen'y
title_full_unstemmed	Seismic ray theory V. Červen'y
title_short	Seismic ray theory
title_sort	seismic ray theory
topic	Ondes sismiques - Modèles mathématiques Mathematisches Modell Seismic waves Mathematical models Seismische Welle (DE-588)4180762-5 gnd Mathematisches Modell (DE-588)4114528-8 gnd
topic_facet	Ondes sismiques - Modèles mathématiques Mathematisches Modell Seismic waves Mathematical models Seismische Welle
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009598992&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT cervenyvlastislav seismicraytheory

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