Simultaneous source full waveform inversion using robust objective function

Summary In this paper, we propose a new objective function that incorporates both simultaneous-source technique and robust norm in the frequency domain. The proposed objective function is defined to measure the residual of the super-shot consisting of encoded shot gathers. Although the objective function does not exactly simulate the ordinary l1norm objective function without source encoding, it has the same robustness as the least-absolute criteria. To confirm the robustness of our algorithm, we performed the full waveform inversion (FWI) using data with outliers and random noise. Based on the inversion results, we confirmed that our algorithm possesses the robust characteristics of the l1-norm objective function as well as the efficiency of the simultaneous source inversion.