Unscaled generalized S-transform and its applications on seismic attenuation delineation: A case study in the Ordos Basin, Northwest China
Seismic attenuation estimation is an important tool for hydrocarbon identification and reservoir characterization. Conventional time–frequency (TF) methods, particularly the S-transform (ST), are widely applied but suffer from a systematic dominant-frequency shift and fixed TF resolution, which may reduce the accuracy of attenuation analysis. To address these limitations, we introduce the unscaled generalized ST (UGST) and apply it to field seismic data from the Ordos Basin in Northwest China to qualitatively estimate attenuation. The UGST corrects the frequency shift inherent in the standard ST and introduces two tunable parameters that enable flexible adjustment of TF resolution to better match local seismic responses. Application to a three-dimensional seismic dataset demonstrates that the UGST produces TF spectra with improved readability and accurate frequency localization, resulting in a reduction of approximately 10 Hz in dominant frequency error compared to ST. The attenuation attributes derived from UGST show strong correspondence with known gas-bearing intervals, as verified by well-log data. The derived attenuation attributes show strong correspondence with gas-bearing intervals, with anomaly overlap rates exceeding 85% relative to well-log fluid indicators. These results indicate that the UGST provides a robust and effective approach for delineating seismic attenuation, offering practical value for reservoir characterization in exploration geophysics.
- Li F, Verma S, Zhou H, Zhao T, Marfurt KJ. Seismic attenuation attributes with applications on conventional and unconventional reservoirs. Interpretation. 2016;4(1):SB63-SB77. doi: 10.1190/INT-2015-0105.1
- Wang Z, Gao J, Wang D, Wei Q. 3D seismic attributes for a tight gas sand reservoir characterization of the eastern Sulige gas field, Ordos Basin, China. Geophysics. 2015;80(2):B35-B43.doi: 10.1190/geo2014-0362.1
- Ba J, Ba XY, Dong HJ, et al. Reservoir property estimation of interbedded sandstone and shale layers using segmented 3D rock-physics templates. Appl Geophys. 2025;22(3):1-17. doi: 10.1007/s11770-025-1263-3
- Ashcroft W. Seismic input to mapping reservoir properties. In: A Petroleum Geologist’s Guide to Seismic Reflection. United States: John Wiley and Sons; 2011. p. 127-145.
- Liu S, Gu H, Yan Z, Li H, Wang H. Q-compensated beam migration with multiscale Gabor transform. J Appl Geophys. 2017;143:195-202. doi: 10.1016/j.jappgeo.2017.06.006
- Ao Y, Li H, Zhu L, Ali S, Yang Z. Identifying channel sand-body from multiple seismic attributes with an improved random forest algorithm. J Pet Sci Eng. 2019;173:781-792. doi: 10.1016/j.petrol.2018.10.048
- Ao Y, Li H, Zhu L, Yang Z. A SCiForest based semi-supervised learning method for the seismic interpretation of channel sand-body. J Appl Geophys. 2019;167:51-62. doi: 10.1016/j.jappgeo.2019.04.019
- Wang Z, Gao J, Lei X, Cui X, Wang D. Application of 3D seismic attributes to optimize the placement of horizontal wells within a tight gas sand reservoir, Ordos Basin, China. Geophysics. 2016;81(3):B77-B86. doi: 10.1190/geo2015-0244.1
- Chen Y, Liu T, Chen X, Li J, Wang E. Time-frequency analysis of seismic data using synchrosqueezing wavelet transform. In: SEG Technical Program Expanded Abstracts 2014. United States: Society of Exploration Geophysicists; 2014. p. 1589-1593. doi: 10.1190/segam2014-0034.1
- Wang Y. The W transform. Geophysics. 2021;86(1):V31-V39. doi: 10.1190/geo2020-0316.1
- Reine C, Van Der Baan M, Clark R. The robustness of seismic attenuation measurements using fixed-and variable-window time-frequency transforms. Geophysics. 2009;74(2):WA123-WA135. doi: 10.1190/1.3043726
- Wang X, Gao J, Chen W, Zhao W, Jiang X, Zhu Z. Seismic attenuation qualitative characterizing method based on adaptive optimal-kernel time-frequency representation. J Appl Geophys. 2013;89:125-133. doi: 10.1016/j.jappgeo.2012.12.006
- Wang B, Lu W. An efficient amplitude-preserving generalized S transform and its application in seismic data attenuation compensation. IEEE Trans Geosci Remote Sens. 2017;56(2):859-866.doi: 10.1109/TGRS.2017.2755666
- Sinha S, Routh PS, Anno PD, Castagna JP. Spectral decomposition of seismic data with continuous wavelet transform. Geophysics. 2005;70(6):P19-P25. doi: 10.1190/1.2127113
- Huang NE, Shen Z, Long SR, et al. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. Proc R Soc A. 1998;454(1971):903-995. doi: 10.1098/rspa.1998.0193
- Wang P, Gao J, Wang Z. Time-frequency analysis of seismic data using synchrosqueezing transform. IEEE Geosci Remote Sens Lett. 2014;11(12):2042-2044. doi: 10.1109/LGRS.2014.2317578
- Liu N, Wei S, Li S, Yang Y, Zhang Y, Gao J. Sparse unscaled time-frequency transform and its application on seismic attenuation delineation. Geophysics. 2023;88(6):B355-B368. doi: 10.1190/geo2022-0522.1
- Gholami A. Sparse time-frequency decomposition and some applications. IEEE Trans Geosci Remote Sens. 2012;51(6):3598-3604. doi: 10.1109/TGRS.2012.2220144
- Liu N, Wei S, Liu R, Yang Y, Zhang N, Gao J. Seismic attenuation estimation via unscaled time-frequency representation and divergence. IEEE Trans Geosci Remote Sens. 2022;60:1-10. doi: 10.1109/TGRS.2022.3223721
- Fu J, He T, Guo C, Bao Y, Li X, Liu X. An additional structure with power-law thickness for weak acoustic emission signal enhancement. Thin Walled Struct. 2025;211:113071. doi: 10.1016/j.tws.2025.113071
- Li Z, Xie F, Ma J, Qi Z, Wang Y. CNN-based adaptive subtraction for the removal of seismic multiples. J Seismic Explor. 2023;32(2):169-184.
- Liu N, Gao J, Zhang B, Wang Q, Jiang X. Self-adaptive generalized S-transform and its application in seismic time-frequency analysis. IEEE Trans Geosci Remote Sens. 2019;57(10):7849-7859. doi: 10.1109/TGRS.2019.2916792
- Wang B. An amplitude preserving S-transform for seismic data attenuation compensation. IEEE Signal Process Lett. 2016;23(9):1155-1159. doi: 10.1109/LSP.2016.2586445
- Verma AK, Cheadle BA, Mohanty WK, Routray A, Mansinha L. Detecting Stratigraphic Discontinuities using Wavelet and S-Transform Analysis of Well Log Data. In: Proceedings of the GeoConvention 2012: Vision; 2012. Calgary, Canada. Available from: https://geoconvention.com/wp/content/uploads/abstracts/2012/163_gc2012_ detecting_stratigraphic_discontinuities.pdf [Last accessed on 2026 Jan 16].
- Shi Y, Zhou H, Niu C, Liu CC, Meng LJ. A variable gain-limited inverse Q filtering method to enhance the resolution of seismic data. J Seismic Explor. 2019;28:257-276.
- Stockwell RG, Mansinha L, Lowe RP. Localization of the complex spectrum: The S transform. IEEE Trans Signal Process. 1996;44(4):998-1001. doi: 10.1109/78.492555
- Pinnegar CR, Eaton DW. Application of the S transform to prestack noise attenuation filtering. J Geophys Res Solid Earth. 2003;108(B9):2422. doi: 10.1029/2002JB002258
- Li D, Castagna J, Goloshubin G. Investigation of generalized S-transform analysis windows for time-frequency analysis of seismic reflection data. Geophysics. 2016;81(3):V235-V247. doi: 10.1190/geo2015-0551.1
- Beuter C, Oleskovicz M. S‐transform: From main concepts to some power quality applications. IET Signal Process. 2020;14(3):115-123. doi: 10.1049/iet-spr.2019.0042
- Wu L, Castagna J. S-transform and Fourier transform frequency spectra of broadband seismic signals. Geophysics. 2017;82(5):O71-O81. doi: 10.1190/geo2016-0679.1
- Han C. Spectral decomposition AVO attributes for identifying potential hydrocarbon-related frequency anomalies. First Break. 2019;37(5):89-97. doi: 10.3997/1365-2397.n0027
- Li F, Zhou H, Zhao T, Marfurt KJ. Unconventional reservoir characterization based on spectrally corrected seismic attenuation estimation. J Seismic Explor. 2016;25(5):447-461.
- Sattari H. High-resolution seismic complex trace analysis by adaptive fast sparse S-transform. Geophysics. 2017;82(1):V51-V67. doi: 10.1190/geo2015-0425.1
- Fomel S. Local seismic attributes. Geophysics. 2007;72(3):A29-A33. doi: 10.1190/1.2437573
- Liu J, Marfurt KJ. Instantaneous spectral attributes to detect channels. Geophysics. 2007;72(2):P23-P31. doi: 10.1190/1.2428268
- Yang Y, Gao J, Wang Z, Li Z. Seismic absorption qualitative indicator via sparse group-lasso-based time-frequency representation. IEEE Geosci Remote Sens Lett. 2021;18(9):1680-1684. doi: 10.1109/LGRS.2020.3006340
- Tary JB, Van Der Baan M, Herrera RH. Applications of high-resolution time-frequency transforms to attenuation estimation. Geophysics. 2017;82(1):V7-V20. doi: 10.1190/geo2016-0022.1
- Sun M, Duan X, Liu Q, et al. The importance of pore-fracture connectivity in overmature marine shale for methane occurrence and transportation. Mar Pet Geol. 2023;157:106495. doi: 10.1016/j.marpetgeo.2023.106495
- Yan Z, Wang F, Liu Y, Zhang J, Liu L, Gao M. Effects of CO2 pressure on the dynamic wettability of the kerogen surface: Insights from a molecular perspective. Appl Surf Sci. 2025;694:162822. doi: 10.1016/j.apsusc.2025.162822
- Jia C, Cheng S, Li L, Chen Y. Seismic ahead-prospecting method based on delayed blasting excitation in the tunnel face: A case study. Tunnell Undergr Space Technol. 2025;161:106577. doi: 10.1016/j.tust.2025.106577
- Liang Y, Qiu H, Wang J, et al. Automated identification of ground kinematic patterns based on InSAR time series displacement and K-SC clustering. Eng Geol. 2025;357:108367. doi: 10.1016/j.enggeo.2025.108367
- Li B. Selecting hazard-consistent ground motions for seismic risk analysis: An equivalent earthquake-based methodology. Bull Earthq Eng. 2025;23:5275-5299. doi: 10.1007/s10518-025-02228-4
