1887
Volume 67 Number 9
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

In previous publications, we presented a waveform‐inversion algorithm for attenuation analysis in heterogeneous anisotropic media. However, waveform inversion requires an accurate estimate of the source wavelet, which is often difficult to obtain from field data. To address this problem, here we adopt a source‐independent waveform‐inversion algorithm that obviates the need for joint estimation of the source signal and attenuation coefficients. The key operations in that algorithm are the convolutions (1) of the observed wavefield with a reference trace from the modelled data and (2) of the modelled wavefield with a reference trace from the observed data. The influence of the source signature on attenuation estimation is mitigated by defining the objective function as the ℓ‐norm of the difference between the two convolved data sets. The inversion gradients for the medium parameters are similar to those for conventional waveform‐inversion techniques, with the exception of the adjoint sources computed by convolution and cross‐correlation operations. To make the source‐independent inversion methodology more stable in the presence of velocity errors, we combine it with the local‐similarity technique. The proposed algorithm is validated using transmission tests for a homogeneous transversely isotropic model with a vertical symmetry axis that contains a Gaussian anomaly in the shear‐wave vertical attenuation coefficient. Then the method is applied to the inversion of reflection data for a modified transversely isotropic model from Hess. It should be noted that due to the increased nonlinearity of the inverse problem, the source‐independent algorithm requires a more accurate initial model to obtain inversion results comparable to those produced by conventional waveform inversion with the actual wavelet.

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2019-06-24
2020-04-07
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References

  1. AliA. and JakobsenM.2011. Seismic characterization of reservoirs with multiple fracture sets using velocity and attenuation anisotropy data. Journal of Applied Geophysics75, 590–602.
    [Google Scholar]
  2. BaiJ. and YingstD.2013. Q estimation through waveform inversion. 75th EAGE Conference & Exhibition.
  3. BaiT. and TsvankinI.2016. Time‐domain finite‐difference modeling for attenuative anisotropic media. Geophysics81, C69–C77.
    [Google Scholar]
  4. BaiT., TsvankinI. and WuX.2017. Waveform inversion for attenuation estimation in anisotropic media. Geophysics82, WA83–WA93.
    [Google Scholar]
  5. BaiT., ZhuT. and TsvankinI.2019. Attenuation compensation for time‐reversal imaging in VTI media. Geophysics84, 1–99.
    [Google Scholar]
  6. BehuraJ. and TsvankinI.2009. Estimation of interval anisotropic attenuation from reflection data. Geophysics74, no. 6, A69–A74.
    [Google Scholar]
  7. BestA.I., SothcottJ. and McCannC.2007. A laboratory study of seismic velocity and attenuation anisotropy in near‐surface sedimentary rocks. Geophysical Prospecting55, 609–625.
    [Google Scholar]
  8. CarcioneJ.M., MorencyC. and SantosJ.E.2010. Computational poroelasticity—a review. Geophysics75, 75A229–75A243.
    [Google Scholar]
  9. CausseE., MittetR. and UrsinB.1999. Preconditioning of full‐waveform inversion in viscoacoustic media. Geophysics64, 130–145.
    [Google Scholar]
  10. ChararaM., BarnesC. and TarantolaA.2000. Full waveform inversion of seismic data for a viscoelastic medium. In Methods and Applications of Inversion (eds. Per C.Hansen, B.H.Jacobsen and K.Mosegaard), pp. 68–81. Springer.
    [Google Scholar]
  11. ChoiY. and AlkhalifahT.2011. Source‐independent time‐domain waveform inversion using convolved wavefields: application to the encoded multisource waveform inversion. Geophysics76, R125–R134.
    [Google Scholar]
  12. de Castro NunesB.I., De MedeirosW.E., do NascimentoA.F. and de Morais MoreiraJ.A.2011. Estimating quality factor from surface seismic data: a comparison of current approaches. Journal of Applied Geophysics75, 161–170.
    [Google Scholar]
  13. DonaldJ., ButtS. and IakovlevS.2004. Adaptation of a triaxial cell for ultrasonic P‐wave attenuation, velocity and acoustic emission measurements. International Journal of Rock Mechanics and Mining Sciences41, 1001–1011.
    [Google Scholar]
  14. DupuyB., AsnaashariA., BrossierR., GaramboisS., MétivierL., RibodettiA. and VirieuxJ.2016. A downscaling strategy from FWI to microscale reservoir properties from high‐resolution images. The Leading Edge35, 146–150.
    [Google Scholar]
  15. EkanemA., WeiJ., LiX.‐Y., ChapmanM. and MainI.2013. P‐wave attenuation anisotropy in fractured media: a seismic physical modelling study. Geophysical Prospecting61, 420–433.
    [Google Scholar]
  16. FichtnerA.2005. The adjoint method in seismology: theory and application to waveform inversion. AGU Fall Meeting Abstracts, 06.
  17. FichtnerA. and Van DrielM.2014. Models and Fréchet kernels for frequency‐(in) dependent Q. Geophysical Journal International198, 1878–1889.
    [Google Scholar]
  18. FomelS.2009. Velocity analysis using AB semblance. Geophysical Prospecting57, 311–321.
    [Google Scholar]
  19. GroosL., SchäferM., ForbrigerT. and BohlenT.2014. The role of attenuation in 2D full‐waveform inversion of shallow‐seismic body and Rayleigh waves. Geophysics79, R247–R261.
    [Google Scholar]
  20. GuoP. and McMechanG.A.2017. Sensitivity of 3D 3C synthetic seismograms to anisotropic attenuation and velocity in reservoir models. Geophysics82, no. 2, T79–T95.
    [Google Scholar]
  21. HanB., GalikeevT., GrechkaV., RousseauJ. and TsvankinI.2001. A synthetic example of anisotropic P‐wave processing for a model from the Gulf of Mexico. Anisotropy 2000: Fractures, Converted Waves, and Case Studies (eds. L.Ikelle and A.Gangi), pp. 311–325. Society of Exploration Geophysicists.
    [Google Scholar]
  22. KameiR. and PrattR.G.2008. Waveform tomography strategies for imaging attenuation structure with cross‐hole data. 70th EAGE Conference & Exhibition, F019.
  23. KrzikallaF. and MüllerT.M.2011. Anisotropic P‐SV‐wave dispersion and attenuation due to inter‐layer flow in thinly layered porous rocks. Geophysics76, WA135–WA145.
    [Google Scholar]
  24. KurzmannA., PrzebindowskaA., KöhnD. and BohlenT.2013. Acoustic full waveform tomography in the presence of attenuation: a sensitivity analysis. Geophysical Journal International195, 985–1000.
    [Google Scholar]
  25. LuoC., YuanS. and WangS.2014. Influence of inaccurate wavelet phase estimation on prestack waveform inversion, SEG Technical Program Expanded Abstracts 2014, 3247–3251.
  26. MüllerT.M., GurevichB. and LebedevM.2010. Seismic wave attenuation and dispersion resulting from wave‐induced flow in porous rocks—a review. Geophysics75, 75A147–75A164.
    [Google Scholar]
  27. NocedalJ.1980. Updating quasi‐Newton matrices with limited storage. Mathematics of Computation35, 773–782.
    [Google Scholar]
  28. PlessixR., MilcikP., RynjaH., StopinA., MatsonK. and AbriS.2013. Multiparameter full‐waveform inversion: marine and land examples. The Leading Edge32, 1030–1038.
    [Google Scholar]
  29. PrieuxV., BrossierR., OpertoS. and VirieuxJ.2013. Multiparameter full waveform inversion of multicomponent ocean‐bottom‐cable data from the valhall field. Part 1: imaging compressional wave speed, density and attenuation. Geophysical Journal International194, 1640–1664.
    [Google Scholar]
  30. QuanY. and HarrisJ.M.1997. Seismic attenuation tomography using the frequency shift method. Geophysics62, 895–905.
    [Google Scholar]
  31. RaoY. and WangY.2009. Fracture effects in seismic attenuation images reconstructed by waveform tomography. Geophysics74, R25–R34.
    [Google Scholar]
  32. SamsM. and GoldbergD.1990. The validity of Q estimates from borehole data using spectral ratios. Geophysics55, 97–101.
    [Google Scholar]
  33. ShigapovR., KashtanB., DroujinineA. and MulderW.2013. Methods for source‐independent Q estimation from microseismic and crosswell perforation shot data in a layered, isotropic viscoelastic medium. SEG Technical Program Expanded Abstracts 2013 1014–1019.
  34. SunD., JiaoK., ChengX., VighD. and CoatesR.2014. Source wavelet estimation in full waveform inversion. SEG Technical Program Expanded Abstracts 2014 1184–1188.
  35. TarantolaA.1984. Inversion of seismic reflection data in the acoustic approximation. Geophysics49, 1259–1266.
    [Google Scholar]
  36. TarantolaA.1988. Theoretical background for the inversion of seismic waveforms including elasticity and attenuation. Pure and Applied Geophysics128, 365–399.
    [Google Scholar]
  37. ThomsenL.1986. Weak elastic anisotropy. Geophysics51, 1954–1966.
    [Google Scholar]
  38. TrompJ., TapeC. and LiuQ.2005. Seismic tomography, adjoint methods, time reversal and banana‐doughnut kernels. Geophysical Journal International160, 195–216.
    [Google Scholar]
  39. TsvankinI.2012. Seismic Signatures and Analysis of Reflection Data in Anisotropic Media, 3rd edn. SEG.
    [Google Scholar]
  40. WangK., KrebsJ.R., HinkleyD. and BaumsteinA.2009. Simultaneous full‐waveform inversion for source wavelet and earth model, SEG Technical Program Expanded Abstracts 2009. 2537–2541.
  41. XueZ., ZhuT., FomelS. and SunJ.2016. Q‐compensated full‐waveform inversion using constant‐Q wave equation: SEG Technical Program Expanded Abstracts, 1063–1068.
  42. ZhangQ., ZhouH., LiQ., ChenH. and WangJ.2016. Robust source‐independent elastic full‐waveform inversion in the time domain. Geophysics81, R29–R44.
    [Google Scholar]
  43. ZhuT., CarcioneJ.M. and HarrisJ.M.2013. Approximating constant‐Q seismic propagation in the time domain. Geophysical Prospecting61, 931–940.
    [Google Scholar]
  44. ZhuT., HarrisJ.M. and BiondiB.2014. Q‐compensated reverse‐time migration. Geophysics79, S77–S87.
    [Google Scholar]
  45. ZhuY. and TsvankinI.2006. Plane‐wave propagation in attenuative transversely isotropic media. Geophysics71, T17–T30.
    [Google Scholar]
  46. ZhuY., TsvankinI., DewanganP. and van WijkK.2006. Physical modeling and analysis of p‐wave attenuation anisotropy in transversely isotropic media. Geophysics72, no. 1, D1–D7.
    [Google Scholar]
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  • Article Type: Research Article
Keyword(s): Anisotropy , Attenuation , Elastics and Full‐waveform inversion
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