Full waveform inversion of time-domain acoustic wave based on first-order approximate instantaneous frequency
XU Yipeng1, REN Zhiming1, LI Zhenchun1, LIU Chang1, HE Zilin1, CHEN Jinmao2
1. SWPI, School of Geosciences, China University of Petroleum(East China), Qingdao, Shandong 266580, China; 2. Shengli Branch of Sinopec Geophysical Corporation, Dongying, Shandong 257000, China
Abstract：A deep velocity model with high accuracy can be obtained by full waveform inversion (FWI) in theory.However,it is difficult to find underground conditions in actual exploration.This is because that,on the one hand,full waveform inversion is strongly dependent on the initial velocity model；and on the other hand,deep signals are weak，and their contribution to the objective function is small.This paper proposes time-domain full waveform inversion based on first-order approximate instantaneous frequency.First,according to the instantaneous phase formula， the objective function and the adjoint source term formula of the first-order approximate instantaneous frequency are derived； Then the initial velocity model for full waveform inversion is established by making full use of the advantage of the instantaneous frequency to highlight low frequency information and deep weak signals.Finally,a gradient attenuation factor is added to further improve the effect of deep inversion and prevent the interference between deep and shallow layers.The feasibility and validity of the method have been proved by model and real data.
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