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Forward Scattering Series and Pade Approximants for Acoustic Wavefield Propagation in a Vertically Varying Medium

Communications in Computational Physics 2008年第1期3卷 180-202页

作者： bogdan g.nita Department of Mathematical Sciences Montclair State University1 Normal AvenueMontclairNJ 07043USA.

We present the application of the theory of Pade approximants to extending the perturbative solutions of acoustic wave equation for a three dimensional vertically varying medium with one *** type of solutions have limited convergence properties depending on either the degree of contrast between the actual and the reference medium or the angle of incidence of a plane wave *** show that the sequence of Pade approximants to the partial sums in the forward scattering series for the 3D wave equation is convergent for any contrast and any incidence *** allows the construction of any reflected waves including phase-shifted post-critical plane waves and,for a point-source problem,refracted events or headwaves,and it also provides interesting interpretations of these solutions in the scattering theory formalism.

关键词： Acoustic wave modeling forward scattering series Pade approximants

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Pseudo-Depth/Intercept-Time Monotonicity Requirements in the Inverse Scattering Algorithm for Predicting Internal Multiple Reflections

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Communications in Computational Physics 2009年第1期5卷 163-182页

作者： bogdan g.nita Arthur B.Weglein Department of Mathematical Sciences Montclair State University1 Normal AvenueMontclairNJ 07043USA. Department of Physics University of Houston617 Science and Research Bldg.1HoustonTX 77004USA

In this paper we discuss the inverse scattering algorithm for predicting internal multiple reflections(reverberation artefacts),focusing our attention on the construction *** speaking,the algorithm combines amplitude and phase information of three different arrivals(sub-events)in the data set to predict one multiple *** three events are conditioned by a certain relation which requires that their pseudo-depths,defined as the depths of their turning points relative to the constant background velocity,satisfy a lower-higher-lower *** implicitly assumes a pseudo-depth monotonicity condition,i.e.,the relation between the actual depths and the pseudo-depths of any two sub-events is the *** study this relation in pseudo-depth and show that it is directly connected with a similar relation between the vertical or intercept times of the *** paper also provides the first multidimensional analysis of the algorithm(for a vertically varying acoustic model)with analytical *** show that the construction of internal multiples is performed in the plane waves domain and,as a consequence,the internal multiples with headwaves sub-events are also predicted by the *** we analyze the differences between the time monotonicity condition in vertical or intercept time and total travel time and show a 2D example which satisfies the former but not the *** we discuss one case in which the monotonicity condition is not satisfied by the sub-events of an internal multiple and discuss ways of lowering these restrictions and of expanding the algorithm to address these types of multiples.

关键词： Multiple reflections seismic imaging inverse scattering

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