An inverse-scattering series method for attenuating multiples in seismic reflection data

We present a multidimensional multiple‐attenuation method that does not require any subsurface information for either surface or internal multiples. To derive these algorithms, we start with a scattering theory description of seismic data. We then introduce and develop several new theoretical concepts concerning the fundamental nature of and the relationship between forward and inverse scattering. These include (1) the idea that the inversion process can be viewed as a series of steps, each with a specific task; (2) the realization that the inverse‐scattering series provides an opportunity for separating out subseries with specific and useful tasks; (3) the recognition that these task‐specific subseries can have different (and more favorable) data requirements, convergence, and stability conditions than does the original complete inverse series; and, most importantly, (4) the development of the first method for physically interpreting the contribution that individual terms (and pieces of terms) in the inv...

[1]  H. Moses,et al.  Calculation of the Scattering Potential from Reflection Coefficients , 1956 .

[2]  M. Razavy,et al.  Determination of the wave velocity in an inhomogeneous medium from the reflection coefficient , 1975 .

[3]  D. J. Verschuur,et al.  Adaptive surface-related multiple elimination , 1992 .

[4]  Reese T. Prosser,et al.  Formal solutions of inverse scattering problems. III. , 1969 .

[5]  Arthur B. Weglein,et al.  Internal multiple attenuation using inverse scattering: Results from prestack 1 & 2D acoustic and elastic synthetics , 1996 .

[6]  Arthur B. Weglein,et al.  Migration and inversion of seismic data , 1985 .

[7]  P. M. van den Berg,et al.  Seismic applications of acoustic reciprocity , 1993 .

[8]  Obtaining three-dimensional velocity information directly from reflection seismic data: An inverse scattering formalism , 1981 .

[9]  Brian Kennett,et al.  THE SUPPRESSION OF SURFACE MULTIPLES ON SEISMIC RECORDS , 1979 .

[10]  A. Weglein,et al.  Generalized linear inversion and the first Born theory for acoustic media , 1983 .

[11]  Roger G. Newton,et al.  Inversion of reflection data for layered media: a review of exact methods , 1981 .

[12]  Arthur B. Weglein,et al.  Examples of a Nonlinear Inversion Method Based On the T Matrix of Scattering Theory: Application to Multiple Suppression , 1991 .

[13]  Arthur B. Weglein,et al.  Inverse Scattering Series For Multiple Attenuation: An Example With Surface And Internal Multiples , 1994 .

[14]  Jon F. Claerbout,et al.  2-D multiple reflections , 1976 .

[15]  Jerry A. Ware,et al.  Continuous and Discrete Inverse‐Scattering Problems in a Stratified Elastic Medium. I. Plane Waves at Normal Incidence , 1969 .