Internal multiple attenuation by Kirchhoff extrapolation

Internal multiple suppression by adaptive Marchenko redatuming

Recently, a novel iterative scheme was proposed to retrieve Green’s functions in an unknown medium from its single-sided reflection response and an estimate of the propagation velocity. In Marchenko imaging, these Green’s functions are used for seismic imaging with complete wavefields, including internal multiple reflections. In this way, common artifacts from these internal reflections are avo...

Inverse scattering internal multiple attenuation algorithm: an analysis of the pseudo-depth and time monotonicity requirements

Pseudo-depth monotonicity condition is an important assumption of the inverse scattering internal multiple attenuation algorithm. Analysis reveals that this condition is equivalent to a vertical-time monotonicity condition which is different than the total traveltime monotonicity suggested in recent literature/discussions. For certain complex media, the monotonicity condition can be too restric...

Multiple scattering from random rough surfaces using the Kirchhoff approximation

Numerical results for scattering of electromagnetic waves from a rough surface are presented and compared with experimental results . The method uses the Kirchhoff or physical optics approximation to separate the single and double scatter terms in the total scatter pattern . It is shown that enhanced backscatter occurs in the double scatter term as predicted by a simple ray picture of the scatt...

Multiple Sign-changing Solutions for Kirchhoff Type Problems

This article concerns the existence of sign-changing solutions to nonlocal Kirchhoff type problems of the form

Multiple solutions for Kirchhoff elliptic equations in Orlicz-Sobolev spaces