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Introduction

Multiple reflections are traditionally regarded as noise and accordingly attenuated Guitton et al. (2001); Verschuur and Berkhout (1997). However, some works have treated multiple reflections as signal and tried to image them. Reiter et al. (1991) images deep-water multiples by applying a Kirchhoff scheme. Sheng (2001) migrates multiples in CDP data by applying cross-correlogram migration. Berkhout and Verschuur (1994) and Guitton (2002) image the multiples with shot-profile migration. Brown (2002) jointly images the primaries and multiples with least-square methods. In this paper, I present source-receiver migration for multiples. I calculate a pseudo-primary gather by cross-correlating the primaries with the corresponding multiples at the surface. A traditional source-receiver migration algorithm is then run without any change on the pseudo-primary data to get the image.

Biondi (2002) derived the equivalence between shot-profile migration and source-receiver migration, given the assumption that the source is an impulse function, the imaging condition is cross-correlation, and the one-way wave equation downward continuation method is used for wavefield propagation. Shan and Zhang (2003) generalized the traditional source-receiver migration for arbitrary sources, and demonstrated the equivalence between shot-profile migration and source-receiver migration. As a special case of generalized source-receiver migration, multiple migration has a complicated source--the primary reflection wavefield--so multiple migration provides a good numerical test for the equivalence between shot-profile migration and source-receiver migration.

In this paper, I review the theory of generalized source-receiver migration and give the algorithm to create the pseudo-primary data for multiple migration. I present poststack and prestack multiple migration of a 2-D synthetic data, and compare the migration result with the migration of original data.


next up previous print clean
Next: Theory Up: Shan: Migration of multiples Previous: Shan: Migration of multiples
Stanford Exploration Project
7/8/2003