메뉴 건너뛰기




Volumn 177, Issue 1, 2009, Pages 161-178

Seismic waveform modelling in a 3-D Earth using the Born approximation: Potential shortcomings and a remedy

Author keywords

Seismic tomography; Surface waves and free oscillations; Theoretical seismology; Wave scattering and diffraction

Indexed keywords

BORN APPROXIMATION; MODELING; SEISMIC TOMOGRAPHY; SEISMIC WAVE; WAVE DIFFRACTION; WAVE SCATTERING; WAVEFORM ANALYSIS;

EID: 63049107358     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2008.04050.x     Document Type: Article
Times cited : (35)

References (50)
  • 1
    • 33749351758 scopus 로고    scopus 로고
    • Global multiresolution models of surface wave propagation: Comparing equivalently regularized born and ray theoretical solutions
    • Boschi, L., 2006. Global multiresolution models of surface wave propagation: Comparing equivalently regularized born and ray theoretical solutions, Geophys. J. Int., 167, 238-252.
    • (2006) Geophys. J. Int. , vol.167 , pp. 238-252
    • Boschi, L.1
  • 2
    • 33846019650 scopus 로고    scopus 로고
    • Efficient waveform tomography for lithospheric imaging: Implications for realistic two-dimensional acquisition geometries and low-frequency data
    • Brenders, A. & Pratt, R., 2007. Efficient waveform tomography for lithospheric imaging: Implications for realistic two-dimensional acquisition geometries and low-frequency data, Geophys. J. Int., 168, 152-170.
    • (2007) Geophys. J. Int. , vol.168 , pp. 152-170
    • Brenders, A.1    Pratt, R.2
  • 3
    • 27744514557 scopus 로고    scopus 로고
    • An efficient Born normal mode method to compute sensitivity kernels and synthetic seismograms in the earth
    • Capdeville, Y., 2005. An efficient Born normal mode method to compute sensitivity kernels and synthetic seismograms in the earth, Geophys. J. Int., 163(2), 639-646.
    • (2005) Geophys. J. Int. , vol.163 , Issue.2 , pp. 639-646
    • Capdeville, Y.1
  • 4
    • 0037229262 scopus 로고    scopus 로고
    • Coupling the spectral element method with a modal solution for elastic wave propagation in global Earth models
    • Capdeville, Y., Chaljub, E., Vilotte, J.-P. & Montagner, J.-P., 2002. Coupling the spectral element method with a modal solution for elastic wave propagation in global Earth models, Geophys. J. Int., 152, 34-66.
    • (2002) Geophys. J. Int. , vol.152 , pp. 34-66
    • Capdeville, Y.1    Chaljub, E.2    Vilotte, J.-P.3    Montagner, J.-P.4
  • 5
    • 0038075476 scopus 로고    scopus 로고
    • Solving elastodynamics in a fluid-solid heterogeneous sphere: A parallel spectral element approximation on non-conforming grids
    • Chaljub, E., Capdeville, Y. & Vilotte, J.-P., 2003. Solving elastodynamics in a fluid-solid heterogeneous sphere: A parallel spectral element approximation on non-conforming grids, J. Comp. Phys., 187, 457-491.
    • (2003) J. Comp. Phys. , vol.187 , pp. 457-491
    • Chaljub, E.1    Capdeville, Y.2    Vilotte, J.-P.3
  • 6
    • 34447282499 scopus 로고    scopus 로고
    • Full three-dimensional tomography: A comparison between the scattering-integral and adjoint-wavefield methods
    • Chen, P., Jordan, T. & Zhao, L., 2007. Full three-dimensional tomography: A comparison between the scattering-integral and adjoint-wavefield methods, Geophys. J. Int., 170, 175-181.
    • (2007) Geophys. J. Int. , vol.170 , pp. 175-181
    • Chen, P.1    Jordan, T.2    Zhao, L.3
  • 8
    • 0034010082 scopus 로고    scopus 로고
    • Frechet kernels for finite-frequency traveltimes - I. Theory
    • Dahlen, F., Hung, S.-H. & Nolet, G., 2000. Frechet kernels for finite-frequency traveltimes - I. Theory, Geophys. J. Int., 141, 157-174.
    • (2000) Theory, Geophys. J. Int. , vol.141 , pp. 157-174
    • Dahlen, F.1    Hung, S.-H.2    Nolet, G.3
  • 10
    • 0032903361 scopus 로고    scopus 로고
    • Propagation of seismic shear and surface waves in a laterally heterogeneous mantle by multiple forward scattering
    • Friederich, W., 1999. Propagation of seismic shear and surface waves in a laterally heterogeneous mantle by multiple forward scattering, Geophys. J. Int., 136, 180-204.
    • (1999) Geophys. J. Int. , vol.136 , pp. 180-204
    • Friederich, W.1
  • 11
    • 0027387948 scopus 로고
    • Multiple forward scattering of surface waves: Comparison with an exact solution and Born single-scatternig methods
    • Friederich, W., Wielandt, E. & Strange, S., 1993. Multiple forward scattering of surface waves: Comparison with an exact solution and Born single-scatternig methods, Geophys. J. Int., 112, 264-275.
    • (1993) Geophys. J. Int. , vol.112 , pp. 264-275
    • Friederich, W.1    Wielandt, E.2    Strange, S.3
  • 12
    • 0042624736 scopus 로고    scopus 로고
    • Simultaneous inversion for mantle shear velocity and topography of transition zone discontinuities
    • Gu, Y., Dziewonski, A. & Ekström, G., 2003. Simultaneous inversion for mantle shear velocity and topography of transition zone discontinuities, Geophys. J. Int., 154, 559-583.
    • (2003) Geophys. J. Int. , vol.154 , pp. 559-583
    • Gu, Y.1    Dziewonski, A.2    Ekström, G.3
  • 13
    • 33749327524 scopus 로고    scopus 로고
    • Lateral variations in attenuation and anisotropy of the upper mantle from seismic waveform tomography
    • PhD thesis, University of California at Berkeley, Berkeley, CA
    • Gung, Y., 2003. Lateral variations in attenuation and anisotropy of the upper mantle from seismic waveform tomography, PhD thesis, University of California at Berkeley, Berkeley, CA.
    • (2003)
    • Gung, Y.1
  • 14
    • 0034907086 scopus 로고    scopus 로고
    • Wavefront healing: A banana-doughnut perspective
    • Hung, S.-H., Dahlen, F. & Nolet, G., 2001. Wavefront healing: A banana-doughnut perspective, Geophys. J. Int., 146, 289-312.
    • (2001) Geophys. J. Int. , vol.146 , pp. 289-312
    • Hung, S.-H.1    Dahlen, F.2    Nolet, G.3
  • 15
    • 84980313889 scopus 로고
    • Procedure for estimating lateral variations from low-frequency eigen-spectra data
    • Jordan, T., 1978. Procedure for estimating lateral variations from low-frequency eigen-spectra data, Geophys. J. R. astr. Soc., 52(3), 441-455.
    • (1978) Geophys. J. R. Astr. Soc. , vol.52 , Issue.3 , pp. 441-455
    • Jordan, T.1
  • 16
    • 0030499548 scopus 로고    scopus 로고
    • Constraints on global phase velocity maps from long-period polarization data
    • Laske, G. & Masters, G., 1996. Constraints on global phase velocity maps from long-period polarization data, J. geophys. Res., 101(B7), 16059-16075.
    • (1996) J. Geophys. Res. , vol.101 , Issue.B7 , pp. 16059-16075
    • Laske, G.1    Masters, G.2
  • 17
    • 0028864901 scopus 로고
    • Comparison of global waveform inversions with and without considering cross-branch modal coupling
    • Li, X.-D. & Romanowicz, B., 1995. Comparison of global waveform inversions with and without considering cross-branch modal coupling, Geophys. J. Int., 121, 695-709.
    • (1995) Geophys. J. Int. , vol.121 , pp. 695-709
    • Li, X.-D.1    Romanowicz, B.2
  • 18
    • 17044386218 scopus 로고    scopus 로고
    • Global mantle shear velocity model developed using nonlinear asymptotic coupling theory
    • Li, X.-D. & Romanowicz, B., 1996. Global mantle shear velocity model developed using nonlinear asymptotic coupling theory, J. geophys. Res., 101(B10), 22245-22272.
    • (1996) J. Geophys. Res. , vol.101 , Issue.B10 , pp. 22245-22272
    • Li, X.-D.1    Romanowicz, B.2
  • 19
    • 0027431616 scopus 로고
    • Waveforms of long-period body waves in a slightly aspherical earth model
    • Li, X.-D. & Tanimoto, T., 1993. Waveforms of long-period body waves in a slightly aspherical earth model, Geophys. J. Int., 112, 92-102.
    • (1993) Geophys. J. Int. , vol.112 , pp. 92-102
    • Li, X.-D.1    Tanimoto, T.2
  • 20
    • 33745951865 scopus 로고    scopus 로고
    • Finite-frequency kernels based upon adjoint methods
    • Liu, Q. & Tromp, J., 2006. Finite-frequency kernels based upon adjoint methods, Bull. seism. Soc. Am., 96, 2383-2397.
    • (2006) Bull. Seism. Soc. Am. , vol.96 , pp. 2383-2397
    • Liu, Q.1    Tromp, J.2
  • 21
    • 0028833613 scopus 로고
    • Surface-wave mode coupling for efficient forward modelling and inversion of body-wave phases
    • Manquering, H. & Snieder, R., 1995. Surface-wave mode coupling for efficient forward modelling and inversion of body-wave phases, Geophys. J. Int., 120, 186-208.
    • (1995) Geophys. J. Int. , vol.120 , pp. 186-208
    • Manquering, H.1    Snieder, R.2
  • 22
    • 34447254791 scopus 로고    scopus 로고
    • Non-linear crustal correction in high-resolution regional waveform seismic tomography
    • Marone, F. & Romanowicz, B., 2007. Non-linear crustal correction in high-resolution regional waveform seismic tomography, Geophys. J. Int., 170 (1), 460-467.
    • (2007) Geophys. J. Int. , vol.170 , Issue.1 , pp. 460-467
    • Marone, F.1    Romanowicz, B.2
  • 23
    • 0030805329 scopus 로고    scopus 로고
    • Diffraction tomography using multimode surface waves
    • Meier, T., Lebedev, S., Nolet, G. & Dahlen, F., 1997. Diffraction tomography using multimode surface waves, J. geophys. Res., 102(B4), 8255-8267.
    • (1997) J. Geophys. Res. , vol.102 , Issue.B4 , pp. 8255-8267
    • Meier, T.1    Lebedev, S.2    Nolet, G.3    Dahlen, F.4
  • 24
    • 0034536477 scopus 로고    scopus 로고
    • The 3-D shear velocity structure of the mantle from the inversion of body, surface, and higher mode waveforms
    • Mégnin, C. & Romanowicz, B., 2000. The 3-D shear velocity structure of the mantle from the inversion of body, surface, and higher mode waveforms, Geophys. J. Int., 143, 709-728.
    • (2000) Geophys. J. Int. , vol.143 , pp. 709-728
    • Mégnin, C.1    Romanowicz, B.2
  • 25
    • 0022837865 scopus 로고
    • The free oscillations of an anisotropic and heterogeneous Earth
    • Mochizuki, E., 1986. The free oscillations of an anisotropic and heterogeneous Earth, Geophys. J. R. astr. Soc., 86, 167-176.
    • (1986) Geophys. J. R. Astr. Soc. , vol.86 , pp. 167-176
    • Mochizuki, E.1
  • 26
    • 0347003624 scopus 로고    scopus 로고
    • Finite-frequency tomography reveals a variety of plumes in the mantle
    • Montelli, R., Nolet, G., Dahlen, F., Masters, G., Engdahl, E. & Hung, S.-H., 2004. Finite-frequency tomography reveals a variety of plumes in the mantle, Science, 303(5656), 338-343.
    • (2004) Science , vol.303 , Issue.5656 , pp. 338-343
    • Montelli, R.1    Nolet, G.2    Dahlen, F.3    Masters, G.4    Engdahl, E.5    Hung, S.-H.6
  • 27
    • 71749093792 scopus 로고    scopus 로고
    • A catalogue of deep mantle plumes: New results from finite-frequency tomography
    • Montelli, R., Nolet, G., Dahlen, F. & Masters, G., 2006. A catalogue of deep mantle plumes: New results from finite-frequency tomography, Geochem. Geophys. Geosys. (G3), 7, Q11007.
    • (2006) Geochem. Geophys. Geosys. , vol.7 G3
    • Montelli, R.1    Nolet, G.2    Dahlen, F.3    Masters, G.4
  • 28
    • 33749369859 scopus 로고    scopus 로고
    • A three-dimensional radially anisotropic model of shear velocity in the whole mantle
    • Panning, M. & Romanowicz, B., 2006. A three-dimensional radially anisotropic model of shear velocity in the whole mantle, Geophys. J. Int., 167, 361-379.
    • (2006) Geophys. J. Int. , vol.167 , pp. 361-379
    • Panning, M.1    Romanowicz, B.2
  • 29
    • 84984524441 scopus 로고
    • Representation of the elastic-gravitational excitation of a spherical earth model by generalized spherical harmonics
    • Phinney, R. & Burridge, R., 1973. Representation of the elastic-gravitational excitation of a spherical earth model by generalized spherical harmonics, Geophys. J. R. astr. Soc., 34, 451-487.
    • (1973) Geophys. J. R. Astr. Soc. , vol.34 , pp. 451-487
    • Phinney, R.1    Burridge, R.2
  • 31
    • 0023468125 scopus 로고
    • Multiplet multiplet coupling due to lateral heterogeneity: Asymptotic effects on the amplitude and frequency of the Earth's normal modes
    • Romanowicz, B., 1987. Multiplet multiplet coupling due to lateral heterogeneity: Asymptotic effects on the amplitude and frequency of the Earth's normal modes, Geophys. J. R. astr. Soc., 90(1), 75-100.
    • (1987) J. R. Astr. Soc. , vol.90 , Issue.1 , pp. 75-100
    • Romanowicz, B.1
  • 32
    • 0024218820 scopus 로고
    • A new formalism for the effect of lateral heterogeneity on normal modes and surface waves, II: General anisotropic perturbation
    • Romanowicz, B. & Snieder, R., 1988. A new formalism for the effect of lateral heterogeneity on normal modes and surface waves, II: General anisotropic perturbation, Geophys. J. Int., 93, 91-99.
    • (1988) Geophys. J. Int. , vol.93 , pp. 91-99
    • Romanowicz, B.1    Snieder, R.2
  • 33
    • 54849417197 scopus 로고    scopus 로고
    • On the computation of long period seismograms in a 3D Earth using normal mode based approximations
    • Romanowicz, B., Panning, M., Gung, Y. & Capdeville, Y., 2008. On the computation of long period seismograms in a 3D Earth using normal mode based approximations, Geophys. J. Int., 175, 520-536.
    • (2008) Geophys. J. Int. , vol.175 , pp. 520-536
    • Romanowicz, B.1    Panning, M.2    Gung, Y.3    Capdeville, Y.4
  • 34
    • 0034970671 scopus 로고    scopus 로고
    • The effect of small-scale heterogeneity on the arrival time of waves
    • Spetzler, J. & Snieder, R., 2001. The effect of small-scale heterogeneity on the arrival time of waves, Geophys. J. Int., 145, 786-796.
    • (2001) Geophys. J. Int. , vol.145 , pp. 786-796
    • Spetzler, J.1    Snieder, R.2
  • 35
    • 0035874926 scopus 로고    scopus 로고
    • Are we exceeding the limits of the great circle approximation in global surface wave tomography?
    • Spetzler, J., Trampert, J. & Snieder, R., 2001. Are we exceeding the limits of the great circle approximation in global surface wave tomography?, Geophys. Res. Lett., 28(12), 2341-2344.
    • (2001) Geophys. Res. Lett. , vol.28 , Issue.12 , pp. 2341-2344
    • Spetzler, J.1    Trampert, J.2    Snieder, R.3
  • 36
    • 34250193307 scopus 로고    scopus 로고
    • Whole mantle SH velocity model constrained by waveform inversion based on three-dimensional Born kernels
    • Takeuchi, N., 2007. Whole mantle SH velocity model constrained by waveform inversion based on three-dimensional Born kernels, Geophys. J. Int., 169, 1153-1163.
    • (2007) Geophys. J. Int. , vol.169 , pp. 1153-1163
    • Takeuchi, N.1
  • 37
    • 0021626737 scopus 로고
    • A simple derivation of the formula to calculate synthetic long-period seismograms in a heterogeneous Earth by normal mode summation
    • Tanimoto, T., 1984. A simple derivation of the formula to calculate synthetic long-period seismograms in a heterogeneous Earth by normal mode summation, Geophys. J. R. astr. Soc., 77, 275-278.
    • (1984) Geophys. J. R. Astr. Soc. , vol.77 , pp. 275-278
    • Tanimoto, T.1
  • 38
    • 33847787341 scopus 로고    scopus 로고
    • Finite-frequency tomography using adjoint methods: Methodology and examples using membrane surface waves
    • Tape, C., Liu, Q. & Tromp, J., 2007. Finite-frequency tomography using adjoint methods: Methodology and examples using membrane surface waves, Geophys. J. Int., 168, 1105-1129.
    • (2007) Geophys. J. Int. , vol.168 , pp. 1105-1129
    • Tape, C.1    Liu, Q.2    Tromp, J.3
  • 39
    • 0002688716 scopus 로고
    • Jackknife error estimates for spectra, coherences and transfer functions
    • Chap. 2 in ed. Chaykin, S., Prentice Hall, Englewood Cliffs, NJ
    • Thomson, D. & Chave, A., 1991. Jackknife error estimates for spectra, coherences and transfer functions, Chap. 2 in Advances in Spectrum Analysis and Array Processing, Vol. 1, pp. 58-113, ed. Chaykin, S., Prentice Hall, Englewood Cliffs, NJ.
    • (1991) Advances in Spectrum Analysis and Array Processing , vol.1 , pp. 58-113
    • Thomson, D.1    Chave, A.2
  • 40
    • 13344261374 scopus 로고    scopus 로고
    • Seismic tomography, adjoint methods, time-reversal and banana-doughnut kernals
    • Tromp, J., Tape, C. & Lin, Q., 2005. Seismic tomography, adjoint methods, time-reversal and banana-doughnut kernals, Geophys. J. Int., 160, 195-216.
    • (2005) Geophys. J. Int. , vol.160 , pp. 195-216
    • Tromp, J.1    Tape, C.2    Lin, Q.3
  • 41
    • 0000456913 scopus 로고    scopus 로고
    • New, improved version of generic mapping tools released
    • Wessel, P. & Smith, W., 1998. New, improved version of generic mapping tools released, EOS, Trans. Am. geophys. Un., 79, 579.
    • (1998) EOS, Trans. Am. Geophys. Un. , vol.79 , pp. 579
    • Wessel, P.1    Smith, W.2
  • 42
    • 0019203969 scopus 로고
    • The coupling and attenuation of nearly resonant multiplets in the Earth's free oscillation spectrum
    • Woodhouse, J., 1980. The coupling and attenuation of nearly resonant multiplets in the Earth's free oscillation spectrum, Geophys. J. R. astr. Soc., 61, 261-283.
    • (1980) Geophys. J. R. Astr. Soc. , vol.61 , pp. 261-283
    • Woodhouse, J.1
  • 43
    • 0021644879 scopus 로고
    • Mapping the upper mantle: Three dimensional modeling of Earth structure by inversion of seismic waveforms
    • Woodhouse, J. & Dziewonski, A., 1984. Mapping the upper mantle: three dimensional modeling of Earth structure by inversion of seismic waveforms, J. geophys. Res., 89, 5953-5986.
    • (1984) J. Geophys. Res. , vol.89 , pp. 5953-5986
    • Woodhouse, J.1    Dziewonski, A.2
  • 44
    • 0020427143 scopus 로고
    • Surface waves and free oscillations in a regionalized Earth model
    • Woodhouse, J. & Girnius, T., 1982. Surface waves and free oscillations in a regionalized Earth model, Geophys. J. R. astr. Soc., 68, 653-673.
    • (1982) Geophys. J. R. Astr. Soc. , vol.68 , pp. 653-673
    • Woodhouse, J.1    Girnius, T.2
  • 45
    • 0026614305 scopus 로고
    • Wave-equation tomography
    • Woodward, M., 1992. Wave-equation tomography, Geophysics, 57(1), 15-26.
    • (1992) Geophysics , vol.57 , Issue.1 , pp. 15-26
    • Woodward, M.1
  • 46
    • 2542430191 scopus 로고    scopus 로고
    • Multimode surface wave tomography for the Australian region using a three-stage approach incorporating finite frequency effects
    • Yoshizawa, K. & Kennett, B., 2004. Multimode surface wave tomography for the Australian region using a three-stage approach incorporating finite frequency effects, J. Geophys. Res., 109, doi:.
    • (2004) J. Geophys. Res. , vol.109
    • Yoshizawa, K.1    Kennett, B.2
  • 47
    • 33745966088 scopus 로고    scopus 로고
    • Structural sensitivities of finite-frequency seismic waves: A full-wave approach
    • Zhao, L. & Jordan, T., 2006. Structural sensitivities of finite-frequency seismic waves: A full-wave approach, Geophys. J. Int., 165, 981-990.
    • (2006) Geophys. J. Int. , vol.165 , pp. 981-990
    • Zhao, L.1    Jordan, T.2
  • 48
    • 0034039249 scopus 로고    scopus 로고
    • Three-dimensional Frèchet differential kernels for seismic delay times
    • Zhao, L., Jordan, T. & Chapman, C., 2000. Three-dimensional Frèchet differential kernels for seismic delay times, Geophys. J. Int., 141, 558-576.
    • (2000) Geophys. J. Int. , vol.141 , pp. 558-576
    • Zhao, L.1    Jordan, T.2    Chapman, C.3
  • 49
    • 3843099489 scopus 로고    scopus 로고
    • Three-dimensional sensitivity kernels for surface wave observables
    • Zhou, Y., Dahlen, F. & Nolet, G., 2004. Three-dimensional sensitivity kernels for surface wave observables, Geophys. J. Int., 158, 142-168.
    • (2004) Geophys. J. Int. , vol.158 , pp. 142-168
    • Zhou, Y.1    Dahlen, F.2    Nolet, G.3
  • 50
    • 33744939495 scopus 로고    scopus 로고
    • Global upper-mantle structure from finite-frequency surface-wave tomography
    • Zhou, Y., Nolet, G., Dahlen, F. & Laske, G., 2006. Global upper-mantle structure from finite-frequency surface-wave tomography, J. geophys. Res., 111, B04304, doi:.
    • (2006) J. Geophys. Res. , vol.111
    • Zhou, Y.1    Nolet, G.2    Dahlen, F.3    Laske, G.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.