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In this section we will test the logarithm Fourier-domain method with both synthetic and field applications. As prior experience shows (Shen et al., 2011b), preconditioning is a critical part of the seismic blind deconvolution problem. Here, we use the Burg Prediction Error Filter (PEF) as the preconditioner for all tests. Unless otherwise specified, we will use one filter for all traces.

In the implementation of the logarithm Fourier-domain method, we use the steepest descent method to search the solution, and for the time domain symmetric method, we use the conjugate direction method. Because of this difference, the convergence speed or the number of iterations required for convergence may not be compared directly.