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Our hope is that, after solving equation (3) for the unknown model,
contains only primaries (and other non-pegleg events) and the contain only peglegs. Unfortunately, simple least-squares minimization
of the data residual (4) proves insufficient to properly
segregate the various modes. Nemeth et al. (1999) pins the problem on
operator ``overlap'', or coincident operator range. In this application,
operator overlap is most troublesome at near offsets, where primaries and
multiples are both flat. If (for instance) contains residual
first-order pegleg multiple energy, equation (1) will map
this energy back into data space, at the position of a first-order multiple at
near offsets. The residual multiple energy is called ``crosstalk''
Claerbout (1992). Luckily, Nemeth et al. show that that properly
designed model regularization operators can at least partially mitigate the
crosstalk problem.

** Next:** Regularization of the Least-Squares
** Up:** Least-Squares Joint Imaging of
** Previous:** Nemeth Forward Model
Stanford Exploration Project

7/8/2003