Frequency‐domain autocorrelation imaging condition for 3D elastic time‐reversal imaging

Abstract

AbstractIn this study, we propose a frequency‐domain autocorrelation as an imaging condition for time‐reversal imaging. The previous imaging conditions in time‐reversal imaging require time‐domain calculations such as inverse Fourier transform. The computational burden of these calculations is critical; therefore, time‐reversal imaging is not the proper method for real‐time event localization. We exclude these time‐domain calculations for efficiency. Instead, the maximum amplitude position of the frequency‐domain autocorrelation of the time‐reversal wavefield is determined as a source location. We conducted numerical tests to validate our imaging condition. The synthetic data test shows that our proposed algorithm provides a more credible source localization result than the conventional grid‐search method does in a noisy environment even using only one frequency component with many receivers. We also applied our algorithm to two real datasets acquired from the small monitoring network in Pohang. The real‐data test shows a comparable result with the result of the grid‐search method.