Table Of ContentPreface; 1. One-dimensional viscoelasticity; 2. Three-dimensional viscoelasticity; 3. Viscoelastic P, SI and SII waves; 4. Framework for single-boundary reflection-refraction and surface-wave problems; 5. General P, SI, and SII waves incident on a viscoelastic boundary; 6. Numerical models for general waves reflected and refracted at viscoelastic boundaries; 7. General SI, P, and SII waves incident on a viscoelastic free surface; 8. Rayleigh-type surface wave on a viscoelastic half space; 9. General SII waves incident on multiple layers of viscoelastic media; 10. Love-type surface waves in multilayered viscoelastic media; 11. Appendices; 12. References; Index.
SynopsisThis book is a rigorous, self-contained exposition of the mathematical theory for wave propagation in layered media with arbitrary amounts of intrinsic absorption. The theory, previously not published in a book, provides solutions for fundamental wave-propagation problems in the general context of any media with a linear response, elastic or anelastic. It reveals physical characteristics for two-and three-dimensional anelastic body and surface waves, not predicted by commonly used models based on elasticity or one-dimensional anelasticity. It explains observed wave characteristics not explained by previous theories. This book may be used as a textbook for graduate-level courses and as a research reference in a variety of fields such as solid mechanics, seismology, civil and mechanical engineering, exploration geophysics, and acoustics. The theory and numerical results allow the classic subject of fundamental elastic wave propagation to be taught in the broader context of waves in any media with a linear response, without undue complications in the mathematics. They provide the basis to improve a variety of anelastic wave propagation models, including those for the Earth's interior, metal impurities, petroleum reserves, polymers, soils, and ocean acoustics. The numerical examples and problems sets facilitate understanding by emphasizing important aspects of the theory for each chapter. Book jacket., This is the first book to explain the mathematical theory and corresponding numerical results for wave propagation in layered media with arbitrary amounts of intrinsic absorption. It provides fundamental problem-solving tools, including numerical examples, and serves both as a graduate-level textbook and as a reference for earth scientists and engineers., This book is a rigorous, self-contained exposition of the mathematical theory for wave propagation in layered media with arbitrary amounts of intrinsic absorption. The theory, previously unpublished in book form, provides solutions for fundamental wave-propagation problems and corresponding numerical results in the context of any media with a linear response (elastic or anelastic). It provides new insights regarding the physical characteristics for two- and three-dimensional anelastic body and surface waves. The book is an excellent graduate-level textbook. It permits fundamental elastic wave propagation to be taught in the broader context of wave propagation in any media with a linear response. The book is also a valuable reference text. It provides tools for solving problems in seismology, geotechnical engineering, exploration geophysics, solid mechanics, and acoustics. The numerical examples and problem sets facilitate understanding by emphasizing important aspects of both the theory and the numerical results.