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- Arthur B. Weglein, Bogdan G. Nita, Kenneth H. Matson
- SIAM Journal of Applied Mathematics
- 2004

Inverse scattering series is the only nonlinear, direct inversion method for the multidimensional, acoustic or elastic equation. Recently developed techniques for inverse problems based on the… (More)

- F. Liu, Arthur B. Weglein, K. A. Innanen, Bogdan G. Nita
- 2005

The inverse scattering series (ISS) has proven, and continues to prove, to be a highly effective formalism for the separate and isolated accomplishment of several key tasks of reflection seismic… (More)

- F. Liu, Arthur B. Weglein, Kristopher A. Innanen, Bogdan G. Nita, Jingfeng Zhang
- 2007

In AVO (Amplitude Variation with Offset) analysis, the amplitudes of reflected waves with different incident angles are studied to deduce lithology information beyond the structure map obtained by… (More)

- F. Liu, Arthur B. Weglein, Kristopher A. Innanen, Bogdan G. Nita
- 2006

The inverse scattering series (ISS) is a comprehensive multidimensional theory for processing and inverting seismic reflection data, that may be task-separated such that meaningful sub-problems of… (More)

Direct inverse methods solve the problem of interest; in addition, they communicate whether the problem of interest is the problem that we (the seismic industry) need to be interested in. When a… (More)

We develop a new way to remove free-surface multiples from teleseismic Ptransmission and constructed reflection responses. We consider two types of teleseismic waves with the presence of the free… (More)

The inverse scattering subseries for removing free surface and internal multiples provided the first comprehensive theory for removing multiples from an arbitrary heterogeneous earth without any… (More)

- Arthur B. Weglein, Lasse Amundsen, +5 authors E. Otnes
- 2007

This paper provides: (1) a review of the logic and promise behind the isolated task inverse-scattering sub-series concept for achieving all processing objectives directly in terms of data only,… (More)

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… (More)

In this paper, the 3-D inverse scattering series (ISS) internal multiple attenuation algorithm (Araújo et al., 1994; Weglein et al., 1997, 2003) is modified for a one-dimensional subsurface to… (More)