A variable gain-limited inverse Q filtering method to enhance the resolution of seismic data

Shi, Y., Zhou, H.L., Niu, C., Liu, C.C. and Meng, L.J., 2019. A variable gain-limited inverse Q filtering method to enhance the resolution of seismic data. Journal of Seismic Exploration, 28: 257-276. Energy absorption, quantified by the quality factor Q, is the main factor of seismic wave attenuation and phase distortion. Inverse Q filtering, which is the inverse process of absorption, can not only effectively compensate the seismic wave attenuation but also correct phase distortion. Stabilized inverse Q filter is a relatively stable inverse Q filtering method. This method effectively overcomes the numerical instability problem while correcting phases distortion and compensating attenuation. However, because of the static nature of the stabilization factor, it may not effectively compensate the attenuation in the deep section or suppress environmental noise when the stabilization factor is less than the optimal. Based on the stabilized inverse Q filter, in this paper, we propose a variable gain-limited inverse Q filtering method to improve the resolution of seismic data. The proposed method contains gain limit and stabilization factor varied with time and Q value, resulting in a more stable and effective gain control. In the applications of both synthetic and field data, we demonstrate that the proposed method can effectively compensate deep energy attenuation and suppress environmental noise, improving the resolution of seismic data without deteriorating signal-to-noise ratio of seismic data. In addition, we calibrate the algorithm proposed in this paper on the enhanced resolution seismic data, showing the value on improving the inversion accuracy.
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