Conventional seismic processing can be considered as implementation in the forward data space, and discrete seismic measurements can be arranged in a data matrix with each column of the data matrix representing a common shot gather while each row of the matrix representing a common receiver gather. For seismic multiple attenuation, the data matrix is replaced with its inverse, the so-called inverse data space method. In the inverse data space, multiples are mapped onto the zero time axis and can be eliminated simply by removing data at zero time. In this paper, we implement this inverse data space method for the internal multiple attenuation in the CMP gathers, so that we can reduce the computational expense dramatically, in comparison with in shot gathers.


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