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Volumn 133, Issue 2, 1998, Pages 341-362

Gauss-Newton and full Newton methods in frequency-space seismic waveform inversion

Author keywords

Diffraction; Finite difference methods; Inversion; Numerical techniques; Seismic velocities; Wave equation

Indexed keywords

SEISMIC DATA PROCESSING; WAVEFORM INVERSION;

EID: 0031843118     PISSN: 0956540X     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1365-246x.1998.00498.x     Document Type: Article
Times cited : (1641)

References (63)
  • 2
    • 0346760288 scopus 로고
    • Enlarging the region of convergence of Newton's method for constrained optimization
    • Bertsekas, D.P., 1982. Enlarging the region of convergence of Newton's method for constrained optimization, J. Optimization Theory Applications, 36, 221-251.
    • (1982) J. Optimization Theory Applications , vol.36 , pp. 221-251
    • Bertsekas, D.P.1
  • 3
    • 0024884875 scopus 로고
    • Practical aspects of an elastic migration/inversion of cross-hole data for reservoir characterization: A Paris basin example
    • Beydoun, W.B., Delvaux, J., Mendes, M., Nouai, G. & Tarantula, A., 1989. Practical aspects of an elastic migration/inversion of cross-hole data for reservoir characterization: a Paris basin example, Geophysics, 54, 1587-1595.
    • (1989) Geophysics , vol.54 , pp. 1587-1595
    • Beydoun, W.B.1    Delvaux, J.2    Mendes, M.3    Nouai, G.4    Tarantula, A.5
  • 4
    • 0025226447 scopus 로고
    • North sea reservoir description: Benefits of an elastic migration/inversion applied to multicomponent vertical seismic profile data
    • Beydoun, W.B., Mendes, M., Blanco, J. & Tarantola, A., 1990. North sea reservoir description: benefits of an elastic migration/inversion applied to multicomponent vertical seismic profile data, Geophysics, 55, 209-218.
    • (1990) Geophysics , vol.55 , pp. 209-218
    • Beydoun, W.B.1    Mendes, M.2    Blanco, J.3    Tarantola, A.4
  • 6
    • 0025262635 scopus 로고
    • A simultaneous inversion for background velocity and impedence maps
    • Cao, D., Beydoun, W.B., Singh, S.C. & Tarantola, A., 1990. A simultaneous inversion for background velocity and impedence maps, Geophysics, 55, 458-469.
    • (1990) Geophysics , vol.55 , pp. 458-469
    • Cao, D.1    Beydoun, W.B.2    Singh, S.C.3    Tarantola, A.4
  • 7
    • 0028975417 scopus 로고
    • Determination of background velocities by multiple migration fitting
    • Chavent, G. & Jacewitz, C.A., 1995. Determination of background velocities by multiple migration fitting. Geophysics, 60, 476-490.
    • (1995) Geophysics , vol.60 , pp. 476-490
    • Chavent, G.1    Jacewitz, C.A.2
  • 9
    • 0025243069 scopus 로고
    • Robust elastic nonlinear waveform inversion: Application to real data
    • Crase, E., Pica, A., Noble, M., McDonald, J. & Tarantola, A., 1990. Robust elastic nonlinear waveform inversion: application to real data, Geophysics, 55, 527-538.
    • (1990) Geophysics , vol.55 , pp. 527-538
    • Crase, E.1    Pica, A.2    Noble, M.3    McDonald, J.4    Tarantola, A.5
  • 10
    • 0027085031 scopus 로고
    • Ill-posed and well-posed formulations of the reflection traveltime tomography problem
    • Delprat-Jannaud, F. & Lailly, P., 1992. Ill-posed and well-posed formulations of the reflection traveltime tomography problem, J. geophys. Res., 97, 19 827-19 844.
    • (1992) J. Geophys. Res. , vol.97 , pp. 19827-19844
    • Delprat-Jannaud, F.1    Lailly, P.2
  • 11
    • 0020353765 scopus 로고
    • A filtered backpropagation algorithm for diffraction tomography
    • Devaney, A.J., 1982. A filtered backpropagation algorithm for diffraction tomography, Ultrasonic Imaging, 4, 336-350.
    • (1982) Ultrasonic Imaging , vol.4 , pp. 336-350
    • Devaney, A.J.1
  • 13
    • 0028830551 scopus 로고
    • Sensitivity of qp-wave traveltimes and polarization vectors to heterogeneity, anisotropy and interfaces
    • Farra, V. & LeBegat, S., 1995. Sensitivity of qp-wave traveltimes and polarization vectors to heterogeneity, anisotropy and interfaces, Geophys. J. Int., 121, 371-384.
    • (1995) Geophys. J. Int. , vol.121 , pp. 371-384
    • Farra, V.1    LeBegat, S.2
  • 14
    • 0022928810 scopus 로고
    • Two-dimensional non-linear inversion of seismic waveforms: Numerical results
    • Gauthier, O., Virieux, J. & Tarantola, A., 1986. Two-dimensional non-linear inversion of seismic waveforms: numerical results, Geophysics, 51, 1387-1403.
    • (1986) Geophysics , vol.51 , pp. 1387-1403
    • Gauthier, O.1    Virieux, J.2    Tarantola, A.3
  • 16
    • 0031277691 scopus 로고    scopus 로고
    • Analysis of reflection traveltimes in 3-d transversely-isotropic heterogeneous media
    • Grechka, V.Y. & McMechan, G.A., 1997. Analysis of reflection traveltimes in 3-d transversely-isotropic heterogeneous media, Geophysics, 62, 1884-1895.
    • (1997) Geophysics , vol.62 , pp. 1884-1895
    • Grechka, V.Y.1    McMechan, G.A.2
  • 17
    • 0003086453 scopus 로고
    • On automatic differentiation
    • eds Iris, M. & Tanabe, K., Kluwer Academic, Dordrecht
    • Griewank, A., 1989. On automatic differentiation, in Programming: Recent Developments and Applications, pp. 83-108, eds Iris, M. & Tanabe, K., Kluwer Academic, Dordrecht.
    • (1989) Programming: Recent Developments and Applications , pp. 83-108
    • Griewank, A.1
  • 18
    • 84977245852 scopus 로고
    • A process of seismic reflection interpretation
    • Hagedoorn, J.G., 1954. A process of seismic reflection interpretation, Geophys. Pospect., 2, 85-127.
    • (1954) Geophys. Pospect. , vol.2 , pp. 85-127
    • Hagedoorn, J.G.1
  • 19
    • 0029730985 scopus 로고    scopus 로고
    • Prestack migration velocity estimation using nonlinear methods
    • Jervis, M., Sen, M.K. & Stoffa, P.L., 1996. Prestack migration velocity estimation using nonlinear methods, Geophysics, 60, 138-150.
    • (1996) Geophysics , vol.60 , pp. 138-150
    • Jervis, M.1    Sen, M.K.2    Stoffa, P.L.3
  • 20
    • 0029750627 scopus 로고    scopus 로고
    • Design of an optimal 9 point finite difference frequency-space acoustic wave equation scheme for inversion and modeling
    • Jo, C.H., Shin, C.S. & Suh, J.H., 1996. Design of an optimal 9 point finite difference frequency-space acoustic wave equation scheme for inversion and modeling, Geophysics, 61, 529-537.
    • (1996) Geophysics , vol.61 , pp. 529-537
    • Jo, C.H.1    Shin, C.S.2    Suh, J.H.3
  • 21
    • 3342895567 scopus 로고
    • The adjoint method and its application to trajectory optimization
    • Jurovics, S.A. & McIntyre, J.E., 1962. The adjoint method and its application to trajectory optimization, ARS J., 32, 1354.
    • (1962) ARS J. , vol.32 , pp. 1354
    • Jurovics, S.A.1    McIntyre, J.E.2
  • 22
    • 0024220895 scopus 로고
    • Subspace methods for large inverse problems with multiple parameter classes
    • Kennett, B., Sambridge, M.S. & Williamson, P.R., 1988. Subspace methods for large inverse problems with multiple parameter classes, Geophys. J., 94, 237-247.
    • (1988) Geophys. J. , vol.94 , pp. 237-247
    • Kennett, B.1    Sambridge, M.S.2    Williamson, P.R.3
  • 23
    • 0022687639 scopus 로고
    • Pre-stack inversion of a 1-D medium
    • Kolb, P., Collino, F. & Lailly, P., 1986. Pre-stack inversion of a 1-D medium, Proc. IEEE, 74, 498-508.
    • (1986) Proc. IEEE , vol.74 , pp. 498-508
    • Kolb, P.1    Collino, F.2    Lailly, P.3
  • 24
    • 0001900916 scopus 로고
    • The seismic inverse problem as a sequence of before stack migrations
    • eds Bednar, J.B., Redner, R., Robinson, E. & Weglein, A., Soc. Industr. appl. Math., Philadelphia, PA
    • Lailly, P., 1983. The seismic inverse problem as a sequence of before stack migrations, in Conference on Inverse Scattering: Theory and Application, eds Bednar, J.B., Redner, R., Robinson, E. & Weglein, A., Soc. Industr. appl. Math., Philadelphia, PA.
    • (1983) Conference on Inverse Scattering: Theory and Application
    • Lailly, P.1
  • 25
    • 0027083912 scopus 로고
    • Iterative asymptotic inversion in the acoustic approximation
    • Lambare, G., Virieux, J., Mandariaga, R. & Jin, S., 1992. Iterative asymptotic inversion in the acoustic approximation, Geophysics, 57, 1138-1154.
    • (1992) Geophysics , vol.57 , pp. 1138-1154
    • Lambare, G.1    Virieux, J.2    Mandariaga, R.3    Jin, S.4
  • 27
    • 0000873069 scopus 로고
    • A method for the solutoin of certain nonlinear problems in least squares
    • Levenberg, K., 1944. A method for the solutoin of certain nonlinear problems in least squares, Q. appl. Math, 2, 164-168.
    • (1944) Q. Appl. Math , vol.2 , pp. 164-168
    • Levenberg, K.1
  • 29
    • 0021644645 scopus 로고
    • Accuracy of finite-difference and finite-element modeling of the scalar and elastic wave-equations
    • Marfurt, K.J., 1984. Accuracy of finite-difference and finite-element modeling of the scalar and elastic wave-equations, Geophysics, 49, 533-549.
    • (1984) Geophysics , vol.49 , pp. 533-549
    • Marfurt, K.J.1
  • 30
    • 85012581063 scopus 로고
    • The future of iterative modeling of geophysical exploration
    • Supercomputers in Seismic Exploration, ed. Eisner, E.
    • Marfurt, K.J. & Shin, C.S., 1989. The future of iterative modeling of geophysical exploration, in Supercomputers in Seismic Exploration, ed. Eisner, E., Seis. Expl., 21, 203-228.
    • (1989) Seis. Expl. , vol.21 , pp. 203-228
    • Marfurt, K.J.1    Shin, C.S.2
  • 31
    • 0000169232 scopus 로고
    • An algorithm for least squares estimation of nonlinear parameters
    • Marquardt, D.W., 1963. An algorithm for least squares estimation of nonlinear parameters, J. Soc. Industr. appl. Math., 11, 431-441.
    • (1963) J. Soc. Industr. Appl. Math. , vol.11 , pp. 431-441
    • Marquardt, D.W.1
  • 32
    • 0023422745 scopus 로고
    • Nonlinear two-dimensional elastic inversion of multioffset seismic data
    • Mora, P.R., 1987a. Nonlinear two-dimensional elastic inversion of multioffset seismic data., Geophysics, 52, 1211-1228.
    • (1987) Geophysics , vol.52 , pp. 1211-1228
    • Mora, P.R.1
  • 33
    • 0343666756 scopus 로고
    • Elastic wavefield inversion for low and high wave-numbers of the P- And S-wave velocities, a possible solution
    • eds Bernabini, M., Carrion, P., Jacovetti, G., Rocca, F., Treitel, S. & Worthington, M., Blackwell Scientific Publications, Oxford
    • Mora, P.R., 1987b. Elastic wavefield inversion for low and high wave-numbers of the P- and S-wave velocities, a possible solution, in Deconvolution and Inversion, pp. 321-337, eds Bernabini, M., Carrion, P., Jacovetti, G., Rocca, F., Treitel, S. & Worthington, M., Blackwell Scientific Publications, Oxford.
    • (1987) Deconvolution and Inversion , pp. 321-337
    • Mora, P.R.1
  • 34
    • 0024899340 scopus 로고
    • Inversion = migration + tomography
    • Mora, P., 1989. Inversion = migration + tomography, Geophysics, 54, 1575-1586.
    • (1989) Geophysics , vol.54 , pp. 1575-1586
    • Mora, P.1
  • 35
    • 0019227544 scopus 로고
    • Inversion of surface and borehole electromagnetic data for two-dimensional electrical conductivity models
    • Oristaglio, M.L. & Worthington, M.H., 1980. Inversion of surface and borehole electromagnetic data for two-dimensional electrical conductivity models, Geophys. Prospect., 28, 633-657.
    • (1980) Geophys. Prospect. , vol.28 , pp. 633-657
    • Oristaglio, M.L.1    Worthington, M.H.2
  • 36
    • 0000082491 scopus 로고
    • Are our parameter estimates biased? the significance of finite difference operators
    • Ory, J. & Pratt, R.G., 1995. Are our parameter estimates biased? The significance of finite difference operators, Inverse Problems, 11, 397-424.
    • (1995) Inverse Problems , vol.11 , pp. 397-424
    • Ory, J.1    Pratt, R.G.2
  • 37
    • 0025199119 scopus 로고
    • Inverse theory applied to multi-source cross-hole tomography. Part II: Elastic wave-equation method
    • Pratt, R.G., 1990. Inverse theory applied to multi-source cross-hole tomography. Part II: elastic wave-equation method, Geophys. Prospect., 38, 311-330.
    • (1990) Geophys. Prospect. , vol.38 , pp. 311-330
    • Pratt, R.G.1
  • 38
    • 0025925942 scopus 로고
    • Combining wave-equation imaging with traveltime tomography to form high-resolution images from crosshole data
    • Pratt, R.G. & Goulty, N.R., 1991. Combining wave-equation imaging with traveltime tomography to form high-resolution images from crosshole data, Geophysics, 56, 208-224.
    • (1991) Geophysics , vol.56 , pp. 208-224
    • Pratt, R.G.1    Goulty, N.R.2
  • 39
    • 0025199116 scopus 로고
    • Inverse theory applied to multi-source cross-hole tomography. Part I: Acoustic wave-equation method
    • Pratt, R.G. & Worthington, M.H., 1990. Inverse theory applied to multi-source cross-hole tomography. Part I: acoustic wave-equation method, Geophys. Prospect., 38, 287-310.
    • (1990) Geophys. Prospect. , vol.38 , pp. 287-310
    • Pratt, R.G.1    Worthington, M.H.2
  • 40
    • 0027789582 scopus 로고
    • Anisotropic velocity tomography: A case study in a near-surface rock mass
    • Pratt, R.G., McGaughey, W.G. & Chapman, C.H., 1993. Anisotropic velocity tomography: a case study in a near-surface rock mass, Geophysics, 58, 1748-1763.
    • (1993) Geophysics , vol.58 , pp. 1748-1763
    • Pratt, R.G.1    McGaughey, W.G.2    Chapman, C.H.3
  • 43
    • 84980225377 scopus 로고
    • A technique for improving the accuracy of finite element solutions for magnetotelluric data
    • Rodi, W.L., 1976. A technique for improving the accuracy of finite element solutions for magnetotelluric data, Geophys. J. R. astr. Soc., 44, 483-506.
    • (1976) Geophys. J. R. Astr. Soc. , vol.44 , pp. 483-506
    • Rodi, W.L.1
  • 44
    • 3342973626 scopus 로고
    • Inversion of band-limited reflection seismograms using stacking velocities as constraints
    • Santosa, F., 1987. Inversion of band-limited reflection seismograms using stacking velocities as constraints, Inverse Problems, 3, 477-499.
    • (1987) Inverse Problems , vol.3 , pp. 477-499
    • Santosa, F.1
  • 45
    • 0026359057 scopus 로고
    • Nonlinear one-dimensional seismic waveform inversion using simulated annealing
    • Sen, M.K. & Stoffa, P.L., 1991. Nonlinear one-dimensional seismic waveform inversion using simulated annealing, Geophysics, 56, 1624-1638.
    • (1991) Geophysics , vol.56 , pp. 1624-1638
    • Sen, M.K.1    Stoffa, P.L.2
  • 47
    • 0025205565 scopus 로고
    • A perturbative analysis of non-linear inversion
    • Snieder, R., 1990. A perturbative analysis of non-linear inversion, Geophys. J. Int., 101, 545-556.
    • (1990) Geophys. J. Int. , vol.101 , pp. 545-556
    • Snieder, R.1
  • 48
    • 0024884539 scopus 로고
    • Retrieving both the impedance contrast and background velocity: A global strategy for the seismic reflection problem
    • Snieder, R., Xie, M.Y., Pica, A. & Tarantola, A., 1989. Retrieving both the impedance contrast and background velocity: a global strategy for the seismic reflection problem, Geophysics, 54, 991-1000.
    • (1989) Geophysics , vol.54 , pp. 991-1000
    • Snieder, R.1    Xie, M.Y.2    Pica, A.3    Tarantola, A.4
  • 49
    • 0028852273 scopus 로고
    • Frequency-domain acoustic-wave modeling and inversion of crosshole data: Part I- 2.5-D modeling method
    • Song, Z.-M. & Williamson, P.R., 1995. Frequency-domain acoustic-wave modeling and inversion of crosshole data: Part I- 2.5-D modeling method, Geophysics. 60, 784-795.
    • (1995) Geophysics. , vol.60 , pp. 784-795
    • Song, Z.-M.1    Williamson, P.R.2
  • 50
    • 0028895865 scopus 로고
    • Frequency-domain acoustic-wave modeling and inversion of crosshole data: Part II-inversion method, synthetic experiments and real-data results
    • Song, Z.-M., Williamson, P.R. & Pratt, R.G., 1995. Frequency-domain acoustic-wave modeling and inversion of crosshole data: Part II-inversion method, synthetic experiments and real-data results, Geophysics, 60, 796-809.
    • (1995) Geophysics , vol.60 , pp. 796-809
    • Song, Z.-M.1    Williamson, P.R.2    Pratt, R.G.3
  • 51
    • 0032172566 scopus 로고    scopus 로고
    • Accurate visco-elastic modeling by frequency-domain finite diffferences using rotated operators
    • in press
    • Stekl, I. & Pratt, R.G., 1997. Accurate visco-elastic modeling by frequency-domain finite diffferences using rotated operators, Geophysics, 63, in press.
    • (1997) Geophysics , vol.63
    • Stekl, I.1    Pratt, R.G.2
  • 52
    • 0025919892 scopus 로고
    • Velocity inversion by differential semblance optimization
    • Symes, W.W. & Carazzone, J.J., 1991. Velocity inversion by differential semblance optimization, Geophysics, 56, 654-663.
    • (1991) Geophysics , vol.56 , pp. 654-663
    • Symes, W.W.1    Carazzone, J.J.2
  • 53
    • 0021474580 scopus 로고
    • Inversion of seismic reflection data in the acoustic approximation
    • Tarantula, A., 1984. Inversion of seismic reflection data in the acoustic approximation, Geophysics, 49, 1259-1266.
    • (1984) Geophysics , vol.49 , pp. 1259-1266
    • Tarantula, A.1
  • 54
    • 0022928992 scopus 로고
    • A strategy for nonlinear elastic inversion of seismic reflection data
    • Tarantola, A., 1986. A strategy for nonlinear elastic inversion of seismic reflection data, Geophysics, 51, 1893-1903.
    • (1986) Geophysics , vol.51 , pp. 1893-1903
    • Tarantola, A.1
  • 56
    • 0019999145 scopus 로고
    • Generalized nonlinear inverse problems solved using the least-squares criterion
    • Tarantola, A. & Valette, B., 1982. Generalized nonlinear inverse problems solved using the least-squares criterion, Rev. Geophys. Space Phys., 20, 219-232.
    • (1982) Rev. Geophys. Space Phys. , vol.20 , pp. 219-232
    • Tarantola, A.1    Valette, B.2
  • 58
    • 0029474420 scopus 로고
    • Tomographic inversion of reflection seismic amplitude data for velocity variation
    • Wang, Y. & Housemann, G.A., 1995. Tomographic inversion of reflection seismic amplitude data for velocity variation, Geophys. J. Int., 123, 355-372.
    • (1995) Geophys. J. Int. , vol.123 , pp. 355-372
    • Wang, Y.1    Housemann, G.A.2
  • 59
    • 0025247629 scopus 로고
    • Tomographic inversion in reflection seismology
    • Williamson, P.R., 1990. Tomographic inversion in reflection seismology, Geophys. J. Int., 100, 255-274.
    • (1990) Geophys. J. Int. , vol.100 , pp. 255-274
    • Williamson, P.R.1
  • 60
    • 0023525502 scopus 로고
    • Diffraction tomography and multisource holography applied to seismic imaging
    • Wu, R.S. & Toksoz, M.N., 1987. Diffraction tomography and multisource holography applied to seismic imaging, Geophysics, 52, 11-25.
    • (1987) Geophysics , vol.52 , pp. 11-25
    • Wu, R.S.1    Toksoz, M.N.2
  • 61
    • 0029501530 scopus 로고
    • 3-D prestack full-wavefield inversion
    • Xu, T., McMechan, G.A. & Sun, R., 1995. 3-D prestack full-wavefield inversion, Geophysics, 60, 1805-1818.
    • (1995) Geophysics , vol.60 , pp. 1805-1818
    • Xu, T.1    McMechan, G.A.2    Sun, R.3
  • 62
    • 0028870803 scopus 로고
    • Acoustic wave-equation traveltime and waveform inversion of crosshole seismic data
    • Zhou, C., Cai, W., Luo, Y., Schuster, G.T. & Hassanzadeh, S., 1995. Acoustic wave-equation traveltime and waveform inversion of crosshole seismic data, Geophysics, 60, 765-773.
    • (1995) Geophysics , vol.60 , pp. 765-773
    • Zhou, C.1    Cai, W.2    Luo, Y.3    Schuster, G.T.4    Hassanzadeh, S.5


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