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

where operator shapes the estimated model into the space of admissible models at each iteration (Fomel, 2008,2007) and is the backward operator that provides an inverse mapping from data space to model space. Daubechies et al. (2004) prove that, if is a nonlinear thresholding operator (Donoho and Johnstone, 1994), where is the adjoint operator of , iteration 5 converges to the solution of equation 6 with regularization term:

where is the threshold and denotes a sparsity-promoting transform. A better choice for is the pseudoinverse of : (Daubechies et al., 2008).

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

2014-08-20