Diffraction In Inhomogeneous Media

Diffraction in Inhomogeneous Media

Seismic Diffraction

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.

Diffraction in Inhomogeneous Media (Classic Reprint)

Excerpt from Diffraction in Inhomogeneous Media In Part I, a geometric method is given for finding the field in inhomogeneous media containing smooth convex bodies. The field due to a plane wave in an unbounded medium is constructed by introducing complex rays in the refraction shadow. By extending Fermat's principle, we explain the occurrence of certain diffracted rays in the boundary problems. By then modifying the law of conservation of energy, we obtain the field along the diffracted rays in addition to the field in the geometric lit region. Certain diffraction coefficients and decay exponents are introduced and general formulas are obtained for them. The theory is then applied to several problems in which the medium is plane or cylindrically stratified and the boundary planar or circular. In Part II, we determine expressions for the exact solution to various boundary value problems corresponding to the special problems of Part I. Asymptotic forms are obtained by using the method of stationary phase in conjunction with the MKB method and Watson transformations. In all cases, we compare the results of Part I with these asymptotic expansions and find that the two are in agreement. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.