Viscoelastic Waves and Rays in Layered Media

A rigorous self-contained exposition of the mathematical theory for wave propagation and general ray theory in layered viscoelastic media.

Roger D. Borcherdt (Author)

9781108495691, Cambridge University Press

Hardback, published 22 October 2020

450 pages
17.5 x 25 x 3.5 cm, 1.05 kg

'Bound to become one of the most sought-after references on the subject. Roger Borcherdt has worked on the subject since his PhD days, and his mastery of the subject is something to behold.' Sven Treitel, The Leading Edge, Society of Exploration Geophysicists

This second edition extends the rigorous, self-contained exposition of the theory for viscoelastic wave propagation in layered media to include head waves and general ray theory. The theory, not published elsewhere, provides solutions for fundamental wave-propagation and ray-theory problems valid for any media with a linear response, elastic or anelastic. It explains measurable variations in wave speed, particle motion, and attenuation of body waves, surface waves, and head waves induced at anelastic material boundaries that do not occur for elastic waves. This book may be used as a textbook for advanced university courses and as a research reference in seismology, exploration geophysics, engineering, solid mechanics, and acoustics. It provides computation steps for ray-tracing computer algorithms to develop a variety of tomography inferred anelastic models, such as those for the Earth's deep interior and petroleum reserves. Numerical results and problem sets emphasize important aspects of the theory for each chapter.

Preface
Historical prologue
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. General viscoelastic ray theory
12. Appendices
References
Index.

Subject Areas: Mining technology & engineering [TTU], Mechanics of solids [TGMD], Geophysics [PHVG], Fluid mechanics [PHDF]