Shapiro S.A., Hubral P. (ed.) Elastic Waves in Random Media. Fundamentals of Seismic Stratigraphic Filtering

Springer, 1998. — 200 p.This book treats various generalizations of the classical O'Doherty-Anstey formula in order to describe stratigraphic filtering effects. These are the effects that can be observed when elastic and electromagnetic waves propagate through multilayered structures. Our aim was to treat this topic in a comprehensive manner and present compact results in a didactically simple way, emphasizing the physics of the wave-propagation phenomena. We do not claim mathematical rigidity in all our derivations, however, we are pleased to have obtained quite simple descriptions of scattering, transmission and reflection of wavefields in acoustic, elastic, and poroelastic media which can be useful for various seismological and non-seismological applications.Random Media and Wave Propagation
Normal-Incidence Waves in a Stack of Layers
Oblique Incidence of Scalar Waves
Elastic P-SV Waves
Frequency-Dependent Properties of Stratigraphic Filtering
Transient Transmissivity
Stratigraphic Filtering and Amplitude Variation with Offset
Stratigraphic Filtering in Poroelastic
Reflectivities of Multilayered Structures
Instead of Conclusions