1887
image of Extended reflectivity method for modelling the propagation of diffusive–viscous wave in dip‐layered media

Abstract

ABSTRACT

The reflectivity method plays an important role in seismic modelling. It has been used to model different types of waves propagating in elastic and anelastic media. The diffusive–viscous wave equation was proposed to investigate the relationship between frequency dependence of reflections and fluid saturation. It is also used to describe the attenuation property of seismic wave in a fluid‐saturated medium. The attenuation of diffusive–viscous wave is mainly characterised by the effective attenuation parameters in the equation. Thus, it is essential to obtain those parameters and further characterise the features of the diffusive–viscous wave. In this work, we use inversion method to obtain the effective attenuation parameters through quality factor to investigate the characteristics of diffusive–viscous wave by comparing with those of the viscoacoustic wave. Then, the reflection/transmission coefficients in a dip plane‐layered medium are studied through coordinate transform and plane‐wave theory. Consequently, the reflectivity method is extended to compute seismograms of diffusive–viscous wave in a dip plane multi‐layered medium. Finally, we present two models to simulate the propagation of diffusive–viscous wave in a dip plane multi‐layered medium by comparing the results with those in a viscoacoustic medium. The numerical results demonstrate the validity of our extension of reflectivity method to the diffusive–viscous medium. The numerical examples in both time domain and time–frequency domain show that the reflections from a dip plane interface have significant phase shift and amplitude change compared with the results of horizontal plane interface due to the differences in reflection/transmission coefficients. Moreover, the modelling results show strong attenuation and phase shift in the diffusive–viscous wave compared to those of the viscoacoustic wave.

Loading

Article metrics loading...

/content/journals/10.1111/1365-2478.12577
2017-10-23
2020-07-03
Loading full text...

Full text loading...

References

  1. AyzenbergM., TsvankinI., AizenbergA. and UrsinB.2009. Effective reflection coefficients for curved interfaces in transversely isotropic media. Geophysics74(5), WB33–WB53.
    [Google Scholar]
  2. AyzenbergM.A., AizenbergA.M., HelleH.B., Klem‐MusatovK.D., PajchelJ. and UrsinB.2007. 3D diffraction modeling of singly scattered acoustic wavefields based on the combination of surface integral propagators and transmission operators. Geophysics72(5), SM19–SM34.
    [Google Scholar]
  3. CarcioneJ.M.2001. Wave fields in real media: wave propagation in anisotropic, anelastic and porous media. Pergamon.
  4. CarcioneJ.M., HermanG.C. and Ten KroodeA.2002. Seismic modeling. Geophysics67(4), 1304–1325.
    [Google Scholar]
  5. CarcioneJ.M., MorencyC. and SantosJ.E.2010. Computational poroelasticity—A review. Geophysics75(5), 75A229–275A243.
    [Google Scholar]
  6. ChenX.‐F.1990. Seismogram synthesis for multi‐layered media with irregular interfaces by global generalized reflection/transmission matrices method. I. Theory of two‐dimensional SH case. Bulletin of the Seismological Society of America80(6A), 1696–1724.
    [Google Scholar]
  7. ErdelyiA., MagnusW., OberhettingerF. and TricomiF.1954. Integral Transforms. New York, USA: McGraw‐Hill6, 14.
    [Google Scholar]
  8. FryerG.J. and FrazerL.N.1984. Seismic waves in stratified anisotropic media. Geophysical Journal International78(3), 691–710.
    [Google Scholar]
  9. FuchsK. and MüllerG.1971. Computation of synthetic seismograms with the reflectivity method and comparison with observations. Geophysical Journal International23(4), 417–433.
    [Google Scholar]
  10. FuttermanW.I.1962. Dispersive body waves. Journal of Geophysical Research67(13), 5279–5291.
    [Google Scholar]
  11. GanleyD.1981. A method for calculating synthetic seismograms which include the effects of absorption and dispersion. Geophysics46(8), 1100–1107.
    [Google Scholar]
  12. GoloshubinG. and BakulinA.1998. Seismic reflectivity of a thin porous fluid‐saturated layer versus frequency. 68th annual international meeting, SEG, New Orleans, USA, Expanded Abstracts, 976–979.
  13. GoloshubinG., VerkhovskyA. and KaurovV.1996. Laboratory experiments of seismic monitoring. 58th EAGE conference and technical exhibition, Amsterdam, The Netherlands, Extended Abstracts, 3–7.
  14. GoloshubinG.M. and KorneevV.A.2000. Seismic low‐frequency effects from fluid‐saturated reservoir. SEG meeting 70th annual international meeting, SEG, Calgary, Canada, Expanded Abstracts, 1671–1674.
  15. HeZ., XiongX. and BianL.2008. Numerical simulation of seismic low‐frequency shadows and its application. Applied Geophysics5(4), 301–306.
    [Google Scholar]
  16. KennettB.2009. Seismic Wave Propagation in Stratified Media. ANU Press.
    [Google Scholar]
  17. KohketsuK.1987. 2‐D reflectivity method and synthetic seismograms for irregularly layered structures—I. SH‐wave generation. Geophysical Journal International89(3), 821–838.
    [Google Scholar]
  18. KohketsuK., KennettB. and TakenakaH.1991. 2‐D reflectivity method and synthetic seismograms for irregularly layered structures—II. Invariant embedding approach. Geophysical Journal International105(1), 119–130.
    [Google Scholar]
  19. KorneevV.A., GoloshubinG.M., DaleyT.M. and SilinD.B.2004. Seismic low‐frequency effects in monitoring fluid‐saturated reservoirs. Geophysics69(2), 522–532.
    [Google Scholar]
  20. KrebesE. and DaleyP.2007. Difficulties with computing anelastic plane‐wave reflection and transmission coefficients. Geophysical Journal International170(1), 205–216.
    [Google Scholar]
  21. LandrøM., NiY. and AmundsenL.2016. Reducing high‐frequency ghost cavitation signals from marine air‐gun arrays. Geophysics81(3), P33–P46.
    [Google Scholar]
  22. MüllerG.1985. The reflectivity method: a tutorial. Journal of Geophysical Research58(1–3), 153–174.
    [Google Scholar]
  23. SenM.K. and PalA.2009. A reflectivity method for laterally varying media: homogeneous layers with curved interfaces. Geophysical Journal International178(2), 792–812.
    [Google Scholar]
  24. SkopintsevaL., AizenbergA., AyzenbergM., LandrøM. and NefedkinaT.2012. The effect of interface curvature on AVO inversion of near‐critical and postcritical PP‐reflections. Geophysics77(5), N1–N16.
    [Google Scholar]
  25. SkopintsevaL., AyzenbergM., LandrøM., NefedkinaT. and AizenbergA.M.2011. Long‐offset AVO inversion of PP reflections from plane interfaces using effective reflection coefficients. Geophysics76(6), C65–C79.
    [Google Scholar]
  26. ThomsonW.T.1950. Transmission of elastic waves through a stratified solid medium. Journal of Applied Physics21(2), 89–93.
    [Google Scholar]
  27. VirieuxJ., CalandraH. and PlessixR.É.2011. A review of the spectral, pseudo‐spectral, finite‐difference and finite‐element modelling techniques for geophysical imaging. Geophysical Prospecting59(5), 794–813.
    [Google Scholar]
  28. VirieuxJ. and OpertoS.2009. An overview of full‐waveform inversion in exploration geophysics. Geophysics74(6), WCC1–WCC26.
    [Google Scholar]
  29. WangC., GaoJ., ZhaoW. and YangH.2011. A flexible wavefield simulation method for layered viscoelastic media with dipping interfaces. Journal of Seismic Exploration20(4), 309–329.
    [Google Scholar]
  30. WatanabeK.2014. Integral Transform Techniques for Green's Function. Springer.
    [Google Scholar]
  31. ZhaoH., GaoJ. and LiuF.2014a. Frequency‐dependent reflection coefficients in diffusive‐viscous media. Geophysics79(3), T143–T155.
    [Google Scholar]
  32. ZhaoH., GaoJ. and ZhaoJ.2014b. Modeling the propagation of diffusive‐viscous waves using flux‐corrected transport‐finite‐difference method. IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing7(3), 838–844.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/journals/10.1111/1365-2478.12577
Loading
/content/journals/10.1111/1365-2478.12577
Loading

Data & Media loading...

  • Article Type: Research Article
Keywords: Wave propagation; Reflection coefficient; Seismic modelling
This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error