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Fundamentals of Seismic Wave Propagation presents a comprehensive introduction to the propagation of high-frequency body-waves in elastodynamics. The theory of seismic wave propagation in acoustic, elastic and anisotropic media is developed to allow seismic waves to be modelled in complex, realistic three-dimensional Earth models. This book provides a consistent and thorough development of modelling methods widely used in elastic wave propagation ranging from the whole Earth, through regional and crustal seismology, exploration seismics to borehole seismics, sonics and ultrasonics. Particular emphasis is placed on developing a consistent notation and approach throughout, which highlights similarities and allows more complicated methods and extensions to be developed without difficulty. This book is intended as a text for graduate courses in theoretical seismology, and as a reference for all academic and industrial seismologists using numerical modelling methods. Exercises and suggestions for further reading are included in each chapter.
I. Preface; II. Nomenclature; III. Symbols; IV. Special functions; V. Canonical signals; 1. Introduction; 2. Basic wave propagation; 3. Transforms; 4. Review of continuum mechanics and elastic waves; 5. Asymptotic ray theory; 6. Rays at an interface; 7. Differential systems for stratified media; 8. Inverse transforms for stratified media; 9. Canonical signals; 10. Generalizations of ray theory; Bibliography; A. Useful integrals; B. Useful Fourier transforms; C. Ordinary differential equations; D. Saddle-point methods; Author index; Subject index.
'I was impressed with the thoroughness and quality of this book and expect that it will become a core resource for the seismology, and to some extent broader geophysical community.' Eos, Transactions, American Geophysical Union 'A set of problems at the end of each chapter make the book into a fine teaching text; solutions to the problems as well as relevant MATLAB software can be found at a Cambridge University Press website. ! Fundamentals of Seismic Wave Propagation is a veritable treasure trove of seismic high-frequency forward modeling techniques. It will be a definitive reference work for a long time to come.' The Leading Edge '! mathematicians and mechanicians will certainly appreciate the author's elegant presentation of the field.' Physics Today