Microseismic events play a crucial role in mapping fault and fracture distributions in natural and induced earthquakes. Detecting and localizing microseismic events is challenging due to low signal-to-noise ratios (SNR). Waveform stacking (WS) imaging location is a practical approach for automatically detecting and localizing microseismic events, assuming that the traveltime-corrected seismic waveforms will stack and enhance coherently. However, coherent stack enhancement is susceptible to polarity reversal caused by the non-explosive components of the source mechanism, which can lead to an unfocused source image, making it difficult to retrieve the optimal location accurately. In this study, we propose a new polarity correction method to address this issue, based on the characteristic that the instantaneous phase difference between two seismic signals with opposite polarity is ±p. First, the Hilbert transform is applied to the original seismic record to obtain instantaneous amplitude A(t) and phase f(t). Then, a new signal is constructed by multiplying A(t) with cos[2f(t)]. The constructed signals for different receivers have the same polarity, thereby being used to refocus the source image. Furthermore, they preserve both positive and negative amplitudes, which contributes to noise suppression. Synthetic tests show that the proposed method can effectively achieve polarity correction and noise suppression, enabling a high-resolution source image. Application to real hydraulic fracturing data demonstrates that the proposed method can detect and locate more microseismic events at the fracturing depths, suggesting its effectiveness and potential advantage in microseismic data processing. Since the polarity correction is performed in the data domain without relying on specific receiver layouts, the method is computationally efficient and could be applied to real-time microseismic monitoring across various sites, including hydraulic fracturing and volcano monitoring.
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