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.

Original and physically clear results and derivations A good physical understanding of wave propagation in randomly layered media

Inhalt
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 offet.- Stratigraphic filtering in poroelastic media.- Reflectivities of multilayered structures.- Instead of conclusions.