Conclusion

We have derived a formula which describes the traveltimes of internal or surface-related multiples of any order, reflected between any number of layers in a constant-velocity medium. We have also derived an analytical formula for their angles of departure from the source and arrival for the receiver. The low computational cost of this algorithm makes it highly suitable for an analytical-stochastic estimation of the strength of internal multiples in various geological settings, with the ultimate purpose of identifying classes of settings in which internal multiples are likely to be a problem. We plan to perform this work in the near future.