We have evaluated an explicit relationship between the representations of internal multiples by source-receiver interferometry and an inverse-scattering series. This provides a new insight into the interaction of different terms in each of these internal multiple prediction equations and explains why amplitudes of estimated multiples are typically incorrect. A downside of the existing representations is that their computational cost is extremely high, which can be a precluding factor especially in 3D applications. Using our insight from source-receiver interferometry, we have developed an alternative, computationally more efficient way to predict internal multiples. The new formula is based on crosscorrelation and convolution: two operations that are computationally cheap and routinely used in interferometric methods.We have compared the results of the standard and the alternative formulas qualitatively in terms of the constructed wavefields and quantitatively in terms of the computational cost using examples from a synthetic data set.
We thank the Edinburgh Interferometry Project sponsors (ConocoPhillips, Schlumberger Cambridge Research, Statoil, and Total) for supporting this research and granting us permission to publish. Furthermore, we wish to thank the editor J. van der Neut, A. Malcolm, J. Sheiman, and an anonymous reviewer for their profound and constructive revisions of our work.