Frequency‐domain waveform modelling and inversion for coupled media using a symmetric impedance matrix

References

1. AmestoyP.R., DuffI.S. and L'ExcellentJ.‐Y.2000. Multifrontal parallel distributed symmetric and unsymmetric solvers. Computer Methods in Applied Mechanics and Engineering184, 501–520.
   [Google Scholar]
2. BaysalE., KosloffD.D. and SherwoodJ.W.C.1983. Reverse time migration. Geophysics48, 1514–1524.
   [Google Scholar]
3. BleibinhausF., HoleJ.A., RybergT. and FuisG.S.2007. Structure of the California Coast Ranges and San Andreas Fault at SAFOD from seismic waveform inversion and reflection imaging. Journal of Geophysical Research: Solid Earth112, 1–15.
   [Google Scholar]
4. BunksC., SaleckF.M., ZaleskiS. and ChaventG.1995. Multiscale seismic waveform inversion. Geophysics60, 1457–1473.
   [Google Scholar]
5. ChangW.‐F. and McMechanG.A.1990. 3D acoustic prestack reverse‐time migration. Geophysical Prospecting38, 737–755.
   [Google Scholar]
6. ChangW.‐F. and McMechanG.A.1994. 3‐D elastic prestack, reverse‐time depth migration. Geophysics59, 597–609.
   [Google Scholar]
7. ChoiY., MinD.‐J. and ShinC.2008. Two‐dimensional waveform inversion of multi‐component data in acoustic–elastic coupled media. Geophysical Prospecting56, 863–881.
   [Google Scholar]
8. GolubG.H. and Van LoanC.F.1996. Matrix Computations 3rd edn. Johns Hopkins University Press.
   [Google Scholar]
9. KimY., MinD.‐J. and ShinC.2011. Frequency‐domain reverse‐time migration with source estimation. Geophysics76, S41.
   [Google Scholar]
10. KomatitschD., BarnesC. and TrompJ.2000. Wave propagation near a fluid–solid interface: A spectral‐element approach. Geophysics65, 623.
    [Google Scholar]
11. LaillyP.1983. The seismic inverse problem as a sequence of before stack migrations. In: Conference on Inverse Scattering, Theory and Applications, SIAM. pp. 206–220.
12. LevanderA.R.1988. Fourth‐order finite‐difference P‐SV seismograms. Geophysics53, 1425–1436.
    [Google Scholar]
13. MadariagaR.1976. Dynamics of an expanding circular fault. Bulletin of the Seismological Society of America66, 639–666.
    [Google Scholar]
14. MarfurtK.J.1984. Accuracy of finite‐difference and finite‐element modeling of the scalar and elastic wave equations. Geophysics49, 533–549.
    [Google Scholar]
15. MoraP.1987. Nonlinear two‐dimensional elastic inversion of multioffset seismic data. Geophysics52, 1211–1228.
    [Google Scholar]
16. MUMPS
    MUMPS2011. MUltifrontal Massively Parallel Solver (MUMPS 4.10.0) Users’ Guide, pp. 1–54.
    [Google Scholar]
17. OpertoS., RavautC., ImprotaL., VirieuxJ., HerreroA. and Dell'AversanaP.2004. Quantitative imaging of complex structures from dense wide‐aperture seismic data by multiscale traveltime and waveform inversions: a case study. Geophysical Prospecting52, 625–651.
    [Google Scholar]
18. OpertoS., VirieuxJ., DessaJ.X. and PascalG.2006. Crustal seismic imaging from multifold ocean bottom seismometer data by frequency domain full waveform tomography: Application to the eastern Nankai trough. Journal of Geophysical Research: Solid Earth111, 1–33.
    [Google Scholar]
19. PlessixR.2006. A review of the adjoint‐state method for computing the gradient of a functional with geophysical applications. Geophysical Journal International167, 495–503.
    [Google Scholar]
20. PlessixR., BaetenG., de MaagJ.W., ten KroodeF. and RujieZ.2012. Full waveform inversion and distance separated simultaneous sweeping: A study with a land seismic data set. Geophysical Prospecting60, 733–747.
    [Google Scholar]
21. PrattR.G., ShinC. and HicksG.J.1998. Gauss–Newton and full Newton methods in frequency domain seismic waveform inversion. Geophysical Journal International133, 341–362.
    [Google Scholar]
22. RavautC., OpertoS., ImprotaL., VirieuxJ., HerreroA. and Dell'AversanaP.2004. Multiscale imaging of complex structures from multifold wide‐aperture seismic data by frequency‐domain full‐waveform tomography: Application to a thrust belt. Geophysical Journal International159, 1032–1056.
    [Google Scholar]
23. SavaP. and FomelS.2003. Angle‐domain common‐image gathers by wavefield continuation methods. Geophysics681065.
    [Google Scholar]
24. ShinC. and ChaY.H.2009. Waveform inversion in the Laplace–Fourier domain. Geophysical Journal International177, 1067–1079.
    [Google Scholar]
25. ShinC. and MinD.‐J.2006. Waveform inversion using a logarithmic wavefield. Geophysics71, R31.
    [Google Scholar]
26. SymonsN., AldridgeD. and HaneyM.2006. 3D acoustic and elastic modeling with marmousi 2. 76th SEG meeting, New Orleans, USA, Expanded Abstracts, 2171–2175.
27. TarantolaA.1984. Inversion of seismic reflection data in the acoustic approximation. Geophysics49, 1259–1266.
    [Google Scholar]
28. TarantolaA.1986. A strategy for nonlinear elastic inversion of seismic reflection data. Geophysics51, 1893–1903.
    [Google Scholar]
29. VirieuxJ.1986. P‐SV wave propagation in heterogeneous media: Velocity‐stress finite‐difference method. Geophysics51, 889.
    [Google Scholar]
30. VirieuxJ. and OpertoS.2009. An overview of full‐waveform inversion in exploration geophysics. Geophysics74, WCC1.
    [Google Scholar]
31. WhitmoreN.D.1983. Iterative depth migration by backward time propagation. 53rd SEG meeting, Las Vegas, USA, Expanded Abstracts, 382–385.
32. ZienkiewiczO.C., TaylorR.L. and ZhuJ.Z.2013. The Finite Element Method: Its Basis and Fundamentals, Seventh Ed. Elsevier.
    [Google Scholar]