A. B. Druzhinin, 2016. "Diffraction of Seismic Waves by an Irregular Edge of the Interface of Arbitrary Elastic Media", Seismic Diffraction, Kamil Klem-Musatov, Henning Hoeber, Michael Pelissier, Tijmen Jan Moser
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An asymptotic solution is given for the three-dimensional problem of seismic wave diffraction by a broken edge of the interface of heterogeneous elastic media of an arbitrary type of symmetry. The solution involves an approximation of the boundary layer by analogy with the scalar case. An approximated analytical formula, invariant for medium model and choice of coordinate system, has been obtained for amplitude of the wave dissipated with an edge breakpoint, to supplement and generalize the earlier results. Thus, the field of a dissipated wave is expressed by geometro-seismic field on the illuminated side of the shadow boundary through a definite special function of two variables, which is equivalent to earlier descriptions but is superior to them due to more convenient analytical properties. Arguments of this function, like the simplest cases, are expressed algebraically through differences of eikonals and/or curvatures of respective wave fronts. The obtained ratios are valid beyond acoustic regions. A numerical example is given of plane-wave diffraction on an absolutely absorbing rectangular-rimmed half-screen placed into a uniform two-axial crystal.
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The use of diffraction imaging to complement the seismic reflection method is rapidly gaining momentum in the oil and gas industry. As the industry moves toward exploiting smaller and more complex conventional reservoirs and extensive new unconventional resource plays, the application of the seismic diffraction method to image sub-wavelength features such as small-scale faults, fractures and stratigraphic pinchouts is expected to increase dramatically over the next few years. “Seismic Diffraction” covers seismic diffraction theory, modeling, observation, and imaging. Papers and discussion include an overview of seismic diffractions, including classic papers which introduced the potential of diffraction phenomena in seismic processing; papers on the forward modeling of seismic diffractions, with an emphasis on the theoretical principles; papers which describe techniques for diffraction mathematical modeling as well as laboratory experiments for the physical modeling of diffractions; key papers dealing with the observation of seismic diffractions, in near-surface-, reservoir-, as well as crustal studies; and key papers on diffraction imaging.