It is now well established that the relationship between data without free-surface multiples (i.e., primaries) and data containing free-surface multiples (i.e., the actual recorded data) is nonlinear. As with most nonlinear inverse problems, solutions to the problem of constructing primaries from recorded data (or attenuating free-surface multiples) are either iterative or in the form of a series with an infinite number of terms. The drawbacks of these solutions are that they are computationally very expensive and often unstable especially when compared to linear solutions like predictive deconvolution for f-k filtering. However, most linear solutions contain unrealistic assumptions about...

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