Abstract
AbstractIn view of the wide use of the “Gaussian distribution hypothesis of noise” in geophysical inversion problems, we study the non‐Gaussian distribution characteristics of the noise in pre‐stack seismic data. Upon this analysis, the concept of non‐Gaussian inversion of pre‐stack three‐term inversion is put forward, in which the mixed‐norm is proposed for suppressing both the Gaussian and non‐Gaussian noises. In view of the non‐derivable feature of the objective function, the Powell algorithm is used to solve the objective function. Model test and real seismic data inversion results show the correctness and reliability of the algorithm.
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