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Regularized inversion of amplitude‑versus‑incidence angle (AVA) based on a piecewise‑smooth model

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Different from the stacked seismic data, pre-stack data includes abundant information about shear wave and density. Through inversing the shear wave and density information from the pre-stack data, we can determine oil-bearing properties from different incident angles. The state-of-the-art inversion methods obtain either low vertical resolution or lateral discontinuities. However, the practical reservoir generally has sharp discontinuities between different layers in vertically direction and is horizontally smooth. Towards obtaining the practical model, we present an inversion method based on the regularized amplitude-versus-incidence angle (AVA) data to estimate the piecewise-smooth model from pre-stack seismic data. This method considers subsurface stratum as a combination of two parts: a piecewise smooth part and a constant part. To fix the ill-posedness in the inversion, we adopt four terms to define the AVA inversion misfit function: the data misfit itself, a total variation regularization term acting as a sparsing operator for the piecewise constant part, a Tikhonov regularization term acting as a smoothing operator for the smooth part, and the last term to smoothly incorporate a priori information for constraining the magnitude of the estimated model. The proposed method not only can incorporate structure information and a priori model constraint, but also is able to derive into a convex objective function that can be easily minimized using iterative approach. Compared with inversion results of TV and Tikhonov regularization methods, the inverted P-wave velocity, S-wave velocity and density of the proposed method can better delineate the piecewise-smooth characteristic of strata.
Czasopismo
Rocznik
Strony
1383--1396
Opis fizyczny
Bibliogr. 29 poz.
Twórcy
autor
  • College of Information Engineering, Sichuan Agricultural University, Ya’an 625014, China, 359081137@qq.com
  • Key Laboratory of Agricultural Information Engineering of Sichuan Province, Sichuan Agricultural University, Ya’an 625014, China
autor
  • College of Information Engineering, Sichuan Agricultural University, Ya’an 625014, China
  • Key Laboratory of Agricultural Information Engineering of Sichuan Province, Sichuan Agricultural University, Ya’an 625014, China
autor
  • College of Geoscience and Technology, Southwest Petroleum University, Chengdu 610500, China
Bibliografia
  • 1. Acar R, Vogel CR (1994) Analysis of bounded variation penalty methods for ill-posed problems. Inverse Prob 10(6):1219
  • 2. Anagaw AY, Sacchi MD (2012) Edge-preserving seismic imaging using the total variation method. J Geophys Eng 9(2):138
  • 3. Asnaashari A, Brossier R, Garambois S et al (2013) Regularized seismic full waveform inversion with prior model information. Geophysics 78(2):R25–R36
  • 4. Bertete-Aguirre H, Cherkaev E, Oristaglio M (2002) Non-smooth gravity problem with total variation penalization functional. Geophys J Int 149(2):499–507
  • 5. Bosch M, Mukerji T, Gonzalez EF (2010) Seismic inversion for reservoir properties combining statistical rock physics and geostatistics: a review. Geophysics 75(5):75A165–75A176
  • 6. Bouchon M, Aki K (1977) Discrete wave-number representation of seismic-source wave fields. Bull Seismol Soc Am 67(2):259–277
  • 7. Fatti JL, Smith GC, Vail PJ et al (1994) Detection of gas in sandstone reservoirs using AVO analysis: a 3-D seismic case history using the Geostack technique. Geophysics 59(9):1362–1376
  • 8. Fomel S (2007) Shaping regularization in geophysical-estimation problems. Geophysics 72(2):R29–R36
  • 9. Gholami A, Hosseini SM (2013) A balanced combination of Tikhonov and total variation regularizations for reconstruction of piecewise-smooth signals. Sig Process 93(7):1945–1960
  • 10. Guitton A, Symes WW (2003) Robust inversion of seismic data using the Huber norm. Geophysics 68(4):1310–1319
  • 11. Hampson DP, Russell BH, Bankhead B (2005) Simultaneous inversion of pre-stack seismic data. SEG Techn Progr Expand Abstr 2005:1633–1637
  • 12. Li G, Zhang H, Wang Y et al (2014) Prestack AVO inversion using edge-preserving regularization with directional constraints. SEG Techn Progr Expand Abstr 2014:3080–3085
  • 13. Li Z, Hu G, Li Y et al (2016a) Regularized amplitude-versus-angle (AVA) inversion with traveltime information. SEG Techn Progr Expand Abstr 2016:548–552
  • 14. Li Z, Song B, Zhang J et al (2016b) Joint elastic and petrophysical inversion using prestack seismic and well log data. Explor Geophys 47(4):331–340
  • 15. Li Z, Hu G, Zhang J (2017a) Adaptive mixed-norm seismic inversion for non-Gaussian errors. Explor Geophys 48(4):413–421
  • 16. Li Z, Hu G, She B (2017b) A hybrid regularization approach for AVA inversion of the piecewise smooth model. SEG Techn Progr Expand Abstr 2017:793–797
  • 17. Lin Y, Huang L (2015) Acoustic-and elastic-waveform inversion using a modified total-variation regularization scheme. Geophys J Int 200(1):489–502
  • 18. Moré JJ, Thuente DJ (1994) Line search algorithms with guaranteed sufficient decrease. ACM Trans Math Softw (TOMS) 20(3):286–307
  • 19. Theune U, Jensås IØ, Eidsvik J (2010) Analysis of prior models for a blocky inversion of seismic AVA data. Geophysics 75(3):C25–C35
  • 20. Tikhonov AN, Arsenin VIA (1977) Solutions of ill-posed problems. Winston, Washington DC
  • 21. Wang H, Fehler MC (2018a) The wavefield of acoustic logging in a cased hole with a single casing—part II: a dipole tool. Geophys J Int 212(2):1414–1428
  • 22. Wang H, Fehler MC (2018b) The wavefield of acoustic logging in a cased-hole with a single casing—part I: a monopole tool. Geophys J Int 212(1):612–626
  • 23. Wang H, Tao G (2011) Wavefield simulation and data-acquisition-scheme analysis for LWD acoustic tools in very slow formations. Geophysics 76(3):E59–E68
  • 24. Wang Y, Cao J, Yang C (2011) Recovery of seismic wavefields based on compressive sensing by an l1-norm constrained trust region method and the piecewise random subsampling. Geophys J Int 187(1):199–213
  • 25. Wang H, Tao G, Zhang K (2013) Wavefield simulation and analysis with the finite-element method for acoustic logging while drilling in horizontal and deviated wells. Geophysics 78(6):D525–D543
  • 26. Zhang X, Zhang J (2017) Model regularization for seismic travel time tomography with an edge-preserving smoothing operator. J Appl Geophys 138:143–153
  • 27. Zhang J, Lv S, Liu Y et al (2013) AVO inversion based on generalized extreme value distribution with adaptive parameter estimation. J Appl Geophys 98:11–20
  • 28. Zhang F, Dai R, Liu H (2014a) Seismic inversion based on L1-norm misfit function and total variation regularization. J Appl Geophys 109:111–118
  • 29. Zhang H, Cao C, Shang Z (2014b) A nonlinear method of simultaneous inversion for pre-stack seismic data based on edge-preserving regularization. SEG Techn Program Expand Abstr 2014:3226–3230
Uwagi
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-c8f72946-1fba-462d-a4cf-108e8024e2af
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