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Volumn 63, Issue 2, 1998, Pages 589-600

Wave extrapolation in the spatial wavelet domain with application to poststack reverse-time migration

Author keywords

[No Author keywords available]

Indexed keywords

FINITE DIFFERENCE METHOD; PARTIAL DIFFERENTIAL EQUATIONS; SEISMIC PROSPECTING; WAVELET TRANSFORMS;

EID: 0032030322     PISSN: 00168033     EISSN: None     Source Type: Journal    
DOI: 10.1190/1.1444358     Document Type: Article
Times cited : (15)

References (30)
  • 1
    • 0026995365 scopus 로고
    • On the representation of operators in bases of compactly supported wavelets
    • Beylkin, G., 1992, On the representation of operators in bases of compactly supported wavelets: SIAM J. Numer. Anal., 6, 1716-1740.
    • (1992) SIAM J. Numer. Anal. , vol.6 , pp. 1716-1740
    • Beylkin, G.1
  • 4
    • 0000402847 scopus 로고
    • A nonreflecting boundary condition for discrete acoustic and elastic wave equations
    • Cerjan, C., Kosloff, D., Kosloff, R., and Reshef, M., 1985, A nonreflecting boundary condition for discrete acoustic and elastic wave equations: Geophysics, 50, 705-708.
    • (1985) Geophysics , vol.50 , pp. 705-708
    • Cerjan, C.1    Kosloff, D.2    Kosloff, R.3    Reshef, M.4
  • 5
    • 0029540184 scopus 로고
    • Frequency-time decomposition of seismic data using wavelet-based methods
    • Chakraborty, A., and Okaya, D., 1995, Frequency-time decomposition of seismic data using wavelet-based methods: Geophysics, 60, 1906-1916.
    • (1995) Geophysics , vol.60 , pp. 1906-1916
    • Chakraborty, A.1    Okaya, D.2
  • 6
    • 0027840161 scopus 로고
    • Wavelets on the interval and fast wavelet transforms
    • Cohen, A., and Daubechies, I., 1993, Wavelets on the interval and fast wavelet transforms: Appl. Comput. Harmonic Anal., 1, 54-81.
    • (1993) Appl. Comput. Harmonic Anal. , vol.1 , pp. 54-81
    • Cohen, A.1    Daubechies, I.2
  • 8
    • 0027789494 scopus 로고
    • Elastic modeling in discontinuous media
    • Cunha, C. A., 1993, Elastic modeling in discontinuous media: Geophysics, 58, 1840-1851.
    • (1993) Geophysics , vol.58 , pp. 1840-1851
    • Cunha, C.A.1
  • 10
    • 0002710661 scopus 로고
    • Two recent results on wavelets: Wavelet bases for the interval, and biorthogonal wavelets diagonalizing the derivative operator
    • Schumaker, L. L., and Webb, G., Eds., Academic Press Inc.
    • _ 1994, Two recent results on wavelets: wavelet bases for the interval, and biorthogonal wavelets diagonalizing the derivative operator, in Schumaker, L. L., and Webb, G., Eds., Recent advances in wavelet analysis: Academic Press Inc., 237-258.
    • (1994) Recent Advances in Wavelet Analysis , pp. 237-258
  • 11
    • 0022928681 scopus 로고
    • The application of high-order differencing to scalar wave equation
    • Dablain, M. A., 1986, The application of high-order differencing to scalar wave equation: Geophysics, 51, 54-66.
    • (1986) Geophysics , vol.51 , pp. 54-66
    • Dablain, M.A.1
  • 12
    • 0013667743 scopus 로고
    • Efficient migration with one-way operators in the wavelet transform domain
    • Soc. Expl. Geophys., Expanded Abstracts
    • Dessing, J. D., and Wapenaar, C. P. A., 1995, Efficient migration with one-way operators in the wavelet transform domain: 64th Ann. Internat. Mta., Soc. Expl. Geophys., Expanded Abstracts, 1240-1243.
    • (1995) 64th Ann. Internat. Mta. , pp. 1240-1243
    • Dessing, J.D.1    Wapenaar, C.P.A.2
  • 13
    • 85006902766 scopus 로고
    • High-performance seismic trace compression
    • Soc. Expl. Geophys., Expanded Abstracts
    • Donoho, P. L., Ergas, R. A., and Villasenor, J. D., 1995, High-performance seismic trace compression: 65th Ann. Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts, 160-163.
    • (1995) 65th Ann. Internat. Mtg. , pp. 160-163
    • Donoho, P.L.1    Ergas, R.A.2    Villasenor, J.D.3
  • 14
    • 0019727077 scopus 로고
    • Modeling of the acoustic wave equation with transform methods
    • Gazdag, J., 1981, Modeling of the acoustic wave equation with transform methods: Geophysics, 46, 854-859.
    • (1981) Geophysics , vol.46 , pp. 854-859
    • Gazdag, J.1
  • 15
    • 0027666863 scopus 로고
    • On the wavelet based differentiation matrix
    • Jameson, L., 1993, On the wavelet based differentiation matrix: J. Sci. Comput., 8, 267-305.
    • (1993) J. Sci. Comput. , vol.8 , pp. 267-305
    • Jameson, L.1
  • 17
    • 0040453889 scopus 로고    scopus 로고
    • The differentiation matrix for Daubechies-based wavelets on an interval
    • _ 1996, The differentiation matrix for Daubechies-based wavelets on an interval: SIAM J. Sci. Comput., 17, 498-516.
    • (1996) SIAM J. Sci. Comput. , vol.17 , pp. 498-516
  • 18
    • 0028450372 scopus 로고
    • Towards a method for solving partial differential equations by using wavelet packet bases
    • Joly, P., Maday, Y., and Perrier, V., 1994, Towards a method for solving partial differential equations by using wavelet packet bases: Comput. Meth. Appl. Mech. Eng., 116, 301-307.
    • (1994) Comput. Meth. Appl. Mech. Eng. , vol.116 , pp. 301-307
    • Joly, P.1    Maday, Y.2    Perrier, V.3
  • 19
    • 0016919839 scopus 로고
    • Synthetic seismograms: A finite-difference approach
    • Kelly, K. R., Ward, R. W., Treitel, S., and Alford, R. M., 1976, Synthetic seismograms: a finite-difference approach: Geophysics, 41, 2-27.
    • (1976) Geophysics , vol.41 , pp. 2-27
    • Kelly, K.R.1    Ward, R.W.2    Treitel, S.3    Alford, R.M.4
  • 20
    • 0027333659 scopus 로고
    • Accurate and efficient seismic modeling in random media
    • Kneib, G., and Kerner, C., 1993, Accurate and efficient seismic modeling in random media: Geophysics, 58, 576-588.
    • (1993) Geophysics , vol.58 , pp. 576-588
    • Kneib, G.1    Kerner, C.2
  • 21
    • 0000195659 scopus 로고
    • Elastic wave calculations by the Fourier method
    • Kosloff, D., Reshef, M., and Loewenthal, D., 1984, Elastic wave calculations by the Fourier method: Bull. Seis. Soc. Am., 74, 875-891.
    • (1984) Bull. Seis. Soc. Am. , vol.74 , pp. 875-891
    • Kosloff, D.1    Reshef, M.2    Loewenthal, D.3
  • 22
    • 11744304457 scopus 로고
    • Wavelet transform inversion: Application to 1-D tomography
    • Soc. Expl. Geophys., Expanded Abstracts
    • Li, X.-G., Sacchi, M. D., and Ulrych, T. J., 1994, Wavelet transform inversion: application to 1-D tomography: 64th Ann. Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts, 972-975.
    • (1994) 64th Ann. Internat. Mtg. , pp. 972-975
    • Li, X.-G.1    Sacchi, M.D.2    Ulrych, T.J.3
  • 23
    • 0006677324 scopus 로고
    • Suppressing the unwanted reflections of the full wave equation
    • Loewenthal, D., Stoffa, P. L., and Faria, E., 1987, Suppressing the unwanted reflections of the full wave equation: Geophysics, 52, 1007-1012.
    • (1987) Geophysics , vol.52 , pp. 1007-1012
    • Loewenthal, D.1    Stoffa, P.L.2    Faria, E.3
  • 24
    • 84966210236 scopus 로고
    • Multiresolution approximation and wavelets
    • Mallat, S., 1989, Multiresolution approximation and wavelets: Trans. Am. Math. Soc., 315, 69-88.
    • (1989) Trans. Am. Math. Soc. , vol.315 , pp. 69-88
    • Mallat, S.1
  • 25
    • 0020970101 scopus 로고
    • Migration by extrapolation of time-dependent boundary values
    • McMechan, G. A., 1983, Migration by extrapolation of time-dependent boundary values: Geophys. Prosp., 31, 413-420.
    • (1983) Geophys. Prosp. , vol.31 , pp. 413-420
    • McMechan, G.A.1
  • 27
    • 0030452038 scopus 로고    scopus 로고
    • Causes and reduction of numerical artefacts in pseudo-spectral wavefield extrapolation
    • Özdenvar, T., and McMechan, G. A., 1996, Causes and reduction of numerical artefacts in pseudo-spectral wavefield extrapolation: Geophys. J. Int., 126, 819-828.
    • (1996) Geophys. J. Int. , vol.126 , pp. 819-828
    • Özdenvar, T.1    McMechan, G.A.2
  • 28
    • 0024921922 scopus 로고
    • Wavelets and dilation equations: A brief introduction
    • Strang, G., 1989, Wavelets and dilation equations: a brief introduction: SIAM Review, 31, 614-627.
    • (1989) SIAM Review , vol.31 , pp. 614-627
    • Strang, G.1
  • 29
    • 85047160042 scopus 로고    scopus 로고
    • Kirchhoff migration of seismic data compressed by matching pursuit decomposition
    • Soc. Expl. Geophys., Expanded Abstracts
    • Wang, B., and Pann, K., 1996, Kirchhoff migration of seismic data compressed by matching pursuit decomposition: 66th Ann. Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts, 1642-1645.
    • (1996) 66th Ann. Internat. Mtg. , pp. 1642-1645
    • Wang, B.1    Pann, K.2
  • 30
    • 0002558359 scopus 로고
    • A multiscale wavelet solver with O(n) complexity
    • Williams, J. R., and Amaratunga, K., 1995, A multiscale wavelet solver with O(n) complexity: J. Comput. Phys., 122, 30-38.
    • (1995) J. Comput. Phys. , vol.122 , pp. 30-38
    • Williams, J.R.1    Amaratunga, K.2


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