Frequency-domain reverse time migration using the logarithm and theL1-norm of a wavefield

Abstract

Summary To obtain a reverse time migration image, we can display subsurface image by using a zero-lag cross-correlation between modeled and observed wavefields. However, reverse time migration based on the cross-correlation imaging condition can produce a distorted image when noise exists in the wavefield. Thus, we consider the application of the logarithm and the 1 L -norm to wavefields, as several earlier studies on waveform inversion applied the logarithm and the 1 L -norm to the objective functions. In this study, we propose an algorithm for frequency-domain reverse time migration using the logarithm and the 1 L norm of a wavefield. We test our proposed algorithm on a synthetic dataset generated by the Marmousi model. After verifying the experiment with the synthetic data, we demonstrate the proposed algorithm on a real exploration dataset obtained from an area in the Gulf of Mexico. Through these numerical simulations, we verify the feasibility of the proposed algorithm. Moreover, we expect that the use of the proposed algorithm will reduce the effort of preprocessing procedures.