Viscoelastic Waves in Layered Media

Presents innovative mathematical theory and corresponding numerical results for wave propagation in layered media with arbitrary amounts of intrinsic absorption.

Roger D. Borcherdt (Author)

9781108462112, Cambridge University Press

Paperback / softback, published 1 March 2018

322 pages
24.5 x 17 x 1.8 cm, 0.6 kg

"The material is presented in a simple and clear way. The book can be used as a textbook in a course on wave propagation." Mathematical Reviews

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 The theory, previously unpublished in book form, provides solutions for fundamental wave-propagation problems and corresponding numerical results in the context of any media with a linear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.

Preface
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.

Subject Areas: Mechanics of solids [TGMD], Geophysics [PHVG], Fluid mechanics [PHDF]