Inversion of up and down going signal for ocean bottom data

Summary

We have discussed the theory of joint imaging of multiples and primaries using up- and down-going ocean bottom data. To a first order accuracy, we can use mirror imaging to define $\bold L_{\uparrow}$ and $\bold L_{\downarrow}$. A complete modeling scheme first models over-under data and then decompose them into up- and down-going data. This scheme effective uses water reveberations and multiples as signal instead of noise. It also reduces crosstalk leakage between up- and down-goign signals and hence reduces incorrectly placed reflectors. The testing of this thoery would be the focus of my research for the next quarter.