Least-squares Migration of Simultaneous Sources Data with a Deblurring Filter

We present the theory and numerical results for least-squares migration of traces generated by simultaneous sources. Numerical tests show that standard seismic data processing, such as stacking and migration, can effectively suppress some crosstalk associated with simultaneous sources data, and so can separate shot gathers from one another. In contrast, LSM can remove most of the noise from simultaneous sources data for up to 20 shots fired at nearly the same time. To reduce the high computational cost problem of LSM, we use a deblurring filter as a preconditioner to speed up the convergence rate of the conjugate gradient method by factors of 2-3. As a result, we get acceptable migration images after only a few iterations of LSM applied to multisource data.