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Volumn 157, Issue 1-2, 2006, Pages 86-104

The adjoint method in seismology. I. Theory

Author keywords

Fr chet derivative; Inversion; Sensitivity; Waveform analysis

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; FINITE DIFFERENCE METHOD; GEOPHYSICS; PARAMETER ESTIMATION; SENSITIVITY ANALYSIS; THEOREM PROVING; WAVEFORM ANALYSIS;

EID: 33745872544     PISSN: 00319201     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.pepi.2006.03.016     Document Type: Article
Times cited : (279)

References (40)
  • 1
    • 0020968485 scopus 로고
    • Reverse time migration
    • Baysal E. Reverse time migration. Geophysics 48 11 (1983) 1514-1524
    • (1983) Geophysics , vol.48 , Issue.11 , pp. 1514-1524
    • Baysal, E.1
  • 2
    • 84861880544 scopus 로고    scopus 로고
    • A comparison of tomographic and geodynamic mantle models
    • doi:10.129/2001GC000168.
    • Becker T.W., and Boschi L. A comparison of tomographic and geodynamic mantle models. Geochem. Geophys. Geosyst. 3 (2002) doi:10.129/2001GC000168.
    • (2002) Geochem. Geophys. Geosyst. , vol.3
    • Becker, T.W.1    Boschi, L.2
  • 3
    • 0019663639 scopus 로고
    • Thermodynamic parameters in the Earth as determined from seismic profiles
    • Brown J.M., and Shankland T.J. Thermodynamic parameters in the Earth as determined from seismic profiles. Geophys. J. R. Astr. Soc. 66 (1981) 579-596
    • (1981) Geophys. J. R. Astr. Soc. , vol.66 , pp. 579-596
    • Brown, J.M.1    Shankland, T.J.2
  • 5
    • 0037111641 scopus 로고    scopus 로고
    • Mantle circulation models with sequential data-assimilation: inferring present-day mantle structure from plate motion histories
    • Bunge H.-P., Richards M.A., and Baumgardner J.R. Mantle circulation models with sequential data-assimilation: inferring present-day mantle structure from plate motion histories. Philos. Trans. R. Soc. A 360 1800 (2002) 2545-2567
    • (2002) Philos. Trans. R. Soc. A , vol.360 , Issue.1800 , pp. 2545-2567
    • Bunge, H.-P.1    Richards, M.A.2    Baumgardner, J.R.3
  • 6
    • 0037329874 scopus 로고    scopus 로고
    • Mantle circulation models with variational data assimilation: inferring past mantle flow and structure from plate motion histories and seismic tomography
    • Bunge H.-P., Hagelberg C.R., and Travis B.J. Mantle circulation models with variational data assimilation: inferring past mantle flow and structure from plate motion histories and seismic tomography. Geophys. J. Int. 152 (2003) 280-301
    • (2003) Geophys. J. Int. , vol.152 , pp. 280-301
    • Bunge, H.-P.1    Hagelberg, C.R.2    Travis, B.J.3
  • 7
    • 0000402847 scopus 로고
    • A non-reflecting boundary condition for discrete acoustic and elastic wave equations
    • Cerjan C., Kosloff D., Kosloff R., and Reshef M. A non-reflecting boundary condition for discrete acoustic and elastic wave equations. Geophysics 50 (1985) 705-708
    • (1985) Geophysics , vol.50 , pp. 705-708
    • Cerjan, C.1    Kosloff, D.2    Kosloff, R.3    Reshef, M.4
  • 8
    • 0025243069 scopus 로고
    • Robust elastic nonlinear waveform inversion: application to real data
    • Crase I., Pica A., Noble M., McDonald J., and Tarantola A. Robust elastic nonlinear waveform inversion: application to real data. Geophysics 55 5 (1990) 527-538
    • (1990) Geophysics , vol.55 , Issue.5 , pp. 527-538
    • Crase, I.1    Pica, A.2    Noble, M.3    McDonald, J.4    Tarantola, A.5
  • 9
    • 0026452803 scopus 로고
    • Sound velocities at high pressure and temperature and their geophysical implications
    • Duffy T.S., and Ahrens T.J. Sound velocities at high pressure and temperature and their geophysical implications. J. Geophys. Res. 97 (1992) 4503-4520
    • (1992) J. Geophys. Res. , vol.97 , pp. 4503-4520
    • Duffy, T.S.1    Ahrens, T.J.2
  • 10
    • 0002423253 scopus 로고
    • Parametrically simple Earth models consistent with geophysical data
    • Dziewonski A.M., Hales A.L., and Lapwood E.R. Parametrically simple Earth models consistent with geophysical data. Phys. Earth Planet. Int. 10 (1975) 12-48
    • (1975) Phys. Earth Planet. Int. , vol.10 , pp. 12-48
    • Dziewonski, A.M.1    Hales, A.L.2    Lapwood, E.R.3
  • 11
  • 13
    • 0021644813 scopus 로고
    • Mapping the lower mantle: determination of lateral heterogeneity in P-velocity up to degree and order 6
    • Dziewonski A.M. Mapping the lower mantle: determination of lateral heterogeneity in P-velocity up to degree and order 6. J. Geophys. Res. 89 (1984) 5929-5952
    • (1984) J. Geophys. Res. , vol.89 , pp. 5929-5952
    • Dziewonski, A.M.1
  • 14
    • 33745813142 scopus 로고    scopus 로고
    • Fichtner, A., Bunge, H.-P., Igel, H., 2006. The adjoint method in seismology-II. Applications: traveltimes and sensitivity functionals, Phys. Earth Planet. Int. 157(1-2) 105-123.
  • 15
    • 0002568633 scopus 로고    scopus 로고
    • Time-reversed acoustics
    • Fink M. Time-reversed acoustics. Sci. Am. 281 5 (1999) 91-97
    • (1999) Sci. Am. , vol.281 , Issue.5 , pp. 91-97
    • Fink, M.1
  • 16
    • 0022928810 scopus 로고
    • Two-dimensional nonlinear inversion of seismic waveforms: numerical results
    • Gauthier O., Virieux J., and Tarantola A. Two-dimensional nonlinear inversion of seismic waveforms: numerical results. Geophysics 51 7 (1986) 1387-1403
    • (1986) Geophysics , vol.51 , Issue.7 , pp. 1387-1403
    • Gauthier, O.1    Virieux, J.2    Tarantola, A.3
  • 17
    • 0038537371 scopus 로고    scopus 로고
    • Joint bulk-sound and shear tomography for Western Pacific subduction zones
    • Gorbatov A., and Kennett B.L.N. Joint bulk-sound and shear tomography for Western Pacific subduction zones. Earth Planet. Sci. Lett. 210 (2003) 527-543
    • (2003) Earth Planet. Sci. Lett. , vol.210 , pp. 527-543
    • Gorbatov, A.1    Kennett, B.L.N.2
  • 18
    • 0028194002 scopus 로고    scopus 로고
    • Grand, S.P., 1994. Mantle shear structure beneath the Americas and surrounding oceans. J. Geophys. Res. 99, 11,591-11,621.
  • 19
    • 0030736852 scopus 로고    scopus 로고
    • Global seismic tomography: a snapshot of convection in the Earth
    • Grand S., van der Hilst R.D., and Widiyantoro S. Global seismic tomography: a snapshot of convection in the Earth. GSA Today 7 4 (1997) 1-7
    • (1997) GSA Today , vol.7 , Issue.4 , pp. 1-7
    • Grand, S.1    van der Hilst, R.D.2    Widiyantoro, S.3
  • 20
    • 0029486395 scopus 로고
    • Anisotropic wave propagation through finite-difference grids
    • Igel H., Mora P., and Riollet B. Anisotropic wave propagation through finite-difference grids. Geophysics 60 4 (1995) 1203-1216
    • (1995) Geophysics , vol.60 , Issue.4 , pp. 1203-1216
    • Igel, H.1    Mora, P.2    Riollet, B.3
  • 21
    • 0029730828 scopus 로고    scopus 로고
    • Waveform inversion of marine reflection seismograms for P impedance and Poisson's ratio
    • Igel H., Djikpesse H., and Tarantola A. Waveform inversion of marine reflection seismograms for P impedance and Poisson's ratio. Geophys. J. Int. 124 2 (1996) 363-371
    • (1996) Geophys. J. Int. , vol.124 , Issue.2 , pp. 363-371
    • Igel, H.1    Djikpesse, H.2    Tarantola, A.3
  • 23
    • 85007271359 scopus 로고    scopus 로고
    • Kárason, H., van der Hilst, R.D., 2000. Constraints on mantle convection from seismic tomography. In: Richards M.A., Gordon R., van der Hilst R.D. (Eds.), History and Dynamics of Plate Motion, Geophys. Monogr. Ser., vol. 121, pp. 277-288
  • 25
    • 0026054159 scopus 로고
    • Traveltimes for global earthquake location and phase identification
    • Kennett B.L.N., and Engdahl E.R. Traveltimes for global earthquake location and phase identification. Geophys. J. Int. 105 (1991) 429-465
    • (1991) Geophys. J. Int. , vol.105 , pp. 429-465
    • Kennett, B.L.N.1    Engdahl, E.R.2
  • 26
    • 0028813015 scopus 로고
    • Constraints on seismic velocities in the Earth from traveltimes
    • Kennett B.L.N., Engdahl E.R., and Buland R. Constraints on seismic velocities in the Earth from traveltimes. Geophys. J. Int. 122 (1995) 108-124
    • (1995) Geophys. J. Int. , vol.122 , pp. 108-124
    • Kennett, B.L.N.1    Engdahl, E.R.2    Buland, R.3
  • 27
    • 3042817157 scopus 로고    scopus 로고
    • Seismic heterogeneity in the mantle-strong shear wave signature of slabs from joint tomography
    • Kennett B.L.N., and Gorbatov A. Seismic heterogeneity in the mantle-strong shear wave signature of slabs from joint tomography. Phys. Earth Planet. Int. 146 (2004) 87-100
    • (2004) Phys. Earth Planet. Int. , vol.146 , pp. 87-100
    • Kennett, B.L.N.1    Gorbatov, A.2
  • 28
    • 0034233203 scopus 로고    scopus 로고
    • Simulation of anisotropic wave propagation based upon a spectral element method
    • Komatitsch D., Barnes C., and Tromp J. Simulation of anisotropic wave propagation based upon a spectral element method. Geophysics 65 4 (2000) 1251-1260
    • (2000) Geophysics , vol.65 , Issue.4 , pp. 1251-1260
    • Komatitsch, D.1    Barnes, C.2    Tromp, J.3
  • 29
    • 0031803946 scopus 로고    scopus 로고
    • The dynamics of Cenozoic and Mesozoic plate motions
    • Lithgow-Bertelloni C., and Richards M.A. The dynamics of Cenozoic and Mesozoic plate motions. Rev. Geophys. 36 1 (1998) 27-78
    • (1998) Rev. Geophys. , vol.36 , Issue.1 , pp. 27-78
    • Lithgow-Bertelloni, C.1    Richards, M.A.2
  • 31
    • 0034536477 scopus 로고    scopus 로고
    • The three-dimensional shear velocity structure of the mantle from the inversion of body, surface and higher-mode waveforms
    • Mégnin C., and Romanowicz B. The three-dimensional shear velocity structure of the mantle from the inversion of body, surface and higher-mode waveforms. Geophys. J. Int. 143 (2000) 709-728
    • (2000) Geophys. J. Int. , vol.143 , pp. 709-728
    • Mégnin, C.1    Romanowicz, B.2
  • 32
    • 0000002378 scopus 로고
    • Earth models obtained by Monte Carlo inversion
    • Press F. Earth models obtained by Monte Carlo inversion. J. Geophys. Res. 73 (1968) 5223-5234
    • (1968) J. Geophys. Res. , vol.73 , pp. 5223-5234
    • Press, F.1
  • 33
    • 0026452425 scopus 로고
    • Large-scale mantle convection and the history of subduction
    • Richards M.A., and Engebretson D.C. Large-scale mantle convection and the history of subduction. Nature 355 (1992) 437-440
    • (1992) Nature , vol.355 , pp. 437-440
    • Richards, M.A.1    Engebretson, D.C.2
  • 34
    • 0033650438 scopus 로고    scopus 로고
    • Seismic imaging of structural heterogeneity in Earth's mantle: evidence for large-scale mantle flow
    • Ritsema J., and van Heijst H.J. Seismic imaging of structural heterogeneity in Earth's mantle: evidence for large-scale mantle flow. Sci. Progr. 83 (2000) 243-259
    • (2000) Sci. Progr. , vol.83 , pp. 243-259
    • Ritsema, J.1    van Heijst, H.J.2
  • 35
    • 0023128058 scopus 로고
    • Variational assimilation of meteorological observations with the adjoint vorticity equation. I: theory
    • Talagrand O., and Courtier P. Variational assimilation of meteorological observations with the adjoint vorticity equation. I: theory. Q. J. R. Meteorol. Soc. 113 (1987) 1311-1328
    • (1987) Q. J. R. Meteorol. Soc. , vol.113 , pp. 1311-1328
    • Talagrand, O.1    Courtier, P.2
  • 36
    • 0021474580 scopus 로고
    • Inversion of seismic reflection data in the acoustic approximation
    • Tarantola A. Inversion of seismic reflection data in the acoustic approximation. Geophysics 49 8 (1984) 1259-1266
    • (1984) Geophysics , vol.49 , Issue.8 , pp. 1259-1266
    • Tarantola, A.1
  • 38
    • 0024257273 scopus 로고
    • Theoretical background for the inversion of seismic waveforms, including anelasticity and attenuation
    • Tarantola A. Theoretical background for the inversion of seismic waveforms, including anelasticity and attenuation. Pure Appl. Geophys. 128 (1988) 365-399
    • (1988) Pure Appl. Geophys. , vol.128 , pp. 365-399
    • Tarantola, A.1
  • 39
    • 13344261374 scopus 로고    scopus 로고
    • Seismic tomography, adjoint methods, time reversal, and banana-donut kernels
    • Tromp J., Tape C., and Liu Q. Seismic tomography, adjoint methods, time reversal, and banana-donut kernels. Geophys. J. Int. 160 (2005) 195-216
    • (2005) Geophys. J. Int. , vol.160 , pp. 195-216
    • Tromp, J.1    Tape, C.2    Liu, Q.3
  • 40
    • 0030620917 scopus 로고    scopus 로고
    • Evidence for deep mantle circulation from global tomography
    • van der Hilst R.D., Widiyantoro S., and Engdahl E.R. Evidence for deep mantle circulation from global tomography. Nature 386 (1997) 578-584
    • (1997) Nature , vol.386 , pp. 578-584
    • van der Hilst, R.D.1    Widiyantoro, S.2    Engdahl, E.R.3


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