<p>Seismic signals exhibit characteristics that are neither harmonic nor transient, making it essential to have both time and frequency resolution at the same time in their time–frequency representation. Developing a tool with high-resolution time–frequency representation and reversibility is crucial. Although synchrosqueezing methods improve frequency resolution, they do not enhance time resolution. In this paper, we introduce a novel approach known as the multisynchrosqueezing optimized S-transform (MSS-OST), which utilizes an optimized S-transform to enhance time resolution before improving frequency resolution. By combining this approach with the multisynchrosqueezing transform, which enhances frequency resolution by redistributing time–frequency coefficients along the frequency axis, the proposed method is positioned to generate a time–frequency representation characterized by superior time and frequency resolutions. To validate the effectiveness of our proposed method, we present results obtained from synthetic and real field data. Furthermore, we evaluate the performance of the proposed method through comparative analyses with conventional and state-of-the-art approaches, including short-time Fourier transform (STFT), S-transform (ST), optimized S-transform (OST), multisynchrosqueezing transform (MSST), multisynchrosqueezing S-transform (MSS-ST), time-reassigned multisynchrosqueezing S-transform (TMSS-ST), and multisynchrosqueezing generalized S-transform (MSS-GST). The results indicate that our method produces a sparser time–frequency representation compared to the aforementioned techniques. Moreover, the innovative sparse representation excels in precisely identifying the location of gas reservoirs through time–frequency AVO analysis, outperforming other utilized methods.</p>

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Multisynchrosqueezing optimized S-transform and its application in gas reservoir identification

  • Mahmoud Shirazi,
  • Amin Roshandel Kahoo,
  • Mohammad Radad,
  • Gang Yu,
  • Saeed Hafezy

摘要

Seismic signals exhibit characteristics that are neither harmonic nor transient, making it essential to have both time and frequency resolution at the same time in their time–frequency representation. Developing a tool with high-resolution time–frequency representation and reversibility is crucial. Although synchrosqueezing methods improve frequency resolution, they do not enhance time resolution. In this paper, we introduce a novel approach known as the multisynchrosqueezing optimized S-transform (MSS-OST), which utilizes an optimized S-transform to enhance time resolution before improving frequency resolution. By combining this approach with the multisynchrosqueezing transform, which enhances frequency resolution by redistributing time–frequency coefficients along the frequency axis, the proposed method is positioned to generate a time–frequency representation characterized by superior time and frequency resolutions. To validate the effectiveness of our proposed method, we present results obtained from synthetic and real field data. Furthermore, we evaluate the performance of the proposed method through comparative analyses with conventional and state-of-the-art approaches, including short-time Fourier transform (STFT), S-transform (ST), optimized S-transform (OST), multisynchrosqueezing transform (MSST), multisynchrosqueezing S-transform (MSS-ST), time-reassigned multisynchrosqueezing S-transform (TMSS-ST), and multisynchrosqueezing generalized S-transform (MSS-GST). The results indicate that our method produces a sparser time–frequency representation compared to the aforementioned techniques. Moreover, the innovative sparse representation excels in precisely identifying the location of gas reservoirs through time–frequency AVO analysis, outperforming other utilized methods.