Kirchhoff?Helmholtz reflection seismograms in a laterally inhomogeneous multi-layered elastic medium ? I. Theory

Statistics for Pulse Reflection from a Randomly Layered Medium

We consider reflection of a pulse incident on a layered halfspace whose density and bulk modulus vary randomly. We show that when the pulse width is long compared to the average time it takes to travel over one correlation length, the reflected signal is approximately a Gaussian random process. The parameters of this process change slowly on a scale long compared to the pulse width. We give a f...

Surface Waves in Laterally Inhomogeneous Regions

Modulational instability in a layered Kerr medium: theory and experiment.

We present the first experimental investigation of modulational instability in a layered Kerr medium. The particularly interesting and appealing feature of our configuration, consisting of alternating glass-air layers, is the piecewise-constant nature of the material properties, which allows a theoretical linear stability analysis leading to a Kronig-Penney equation whose forbidden bands corres...

Effective medium theory for elastic composites

The theoretical foundation of a variant on effective medium theories for elastic constants of composites is presented and discussed. The connection between this approach and the methods of Zeller and Dederichs, Korringa, and Gubernatis and Krumhansl is elucidated. A review of the known relationships between the various effective medium theories and rigorous bounding methods for elastic constant...

Ray theory for a locally layered random medium

We consider acoustic pulse propagation in inhomogeneous media over relatively long propagation distances. Our main objective is to characterize the spreading of the travelling pulse due to microscale variations in the medium parameters. The pulse is generated by a point source and the medium is modelled by a smooth three-dimensional background that is modulated by stratified random fluctuations...