Iterative deblending of simultaneous-source seismic data using seislet-domain shaping regularization |

Here, and denote the seismic records to be separated out, is the blended data, and denotes the dithering operator. Note that we perform the processing in the common-receiver domain, because each blended record in this domain is coherent for one source and incoherent for another (Hampson et al., 2008). In this case, is usually referred to as the pseudodeblended data (Mahdad et al., 2011), which means picking traces from the original blended field record according to the shooting time of one source to form a common receiver gather with one source coherent and the other one incoherent. We propose to augment equation 1 with another equation through applying the inverse dithering operator :

By combining equations 1 and 2, we formulate an augmented estimation problem:

where

and is the identity operator.

We choose to solve equation 3 rather than equation 1 because equation 3 is a more convenient form to use in the following derivations.

Iterative deblending of simultaneous-source seismic data using seislet-domain shaping regularization |

2014-08-20