Abstract：It should use deconvolution imaging condition that can reach the amplitude-preserved goal in amplitude-preserved migration based on shot domain, which has evident shortcomings in damping-based deconvolution imaging condition: the computation may be unstable when the denominator approaches to zero, seriously affecting the imaging quality. For that reason, the paper smoothes the denominator in deconvolution imaging condition based on Gaussian-window function, eliminating the influence of singular value in denominator, which keeps both original deconvolution imaging condition and stability of computation. It is showed by model test and practical data processing that the prestack depth migration in smoothing function-based amplitude-preserved imaging condition can both improve the stability of amplitude-preserved migration and better suppress migration noise under controlling of adequate smoothing parameter, achieving better imaging results.
