메뉴 건너뛰기




Volumn 63, Issue 3, 1998, Pages 970-893

Resolving seismic anisotropy: sparse matrix methods for geophysical inverse problems

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC LOGGING; ACOUSTIC WAVE VELOCITY; ALGORITHMS; ANISOTROPY; HYDRAULIC FRACTURING; INVERSE PROBLEMS; MATRIX ALGEBRA; PROBLEM SOLVING; VECTORS;

EID: 0032076804     PISSN: 00168033     EISSN: None     Source Type: Journal    
DOI: 10.1190/1.1444408     Document Type: Article
Times cited : (17)

References (37)
  • 2
    • 0001227273 scopus 로고
    • Long-wave elastic anisotropy produced by horizontal layering
    • Backus, G. E., 1962, Long-wave elastic anisotropy produced by horizontal layering: J. Geophys. Res., 67, 4427-1440.
    • (1962) J. Geophys. Res. , vol.67 , pp. 4427-11440
    • Backus, G.E.1
  • 3
    • 0002741413 scopus 로고
    • Large scale singular value computations
    • Berry, M., 1992, Large scale singular value computations: Internat. J. Supercomp. Appl., 6, 13-49.
    • (1992) Internat. J. Supercomp. Appl. , vol.6 , pp. 13-49
    • Berry, M.1
  • 4
    • 0018465734 scopus 로고
    • Long-wave elastic anisotropy in transversely isotropic media
    • Berryman, J. G., 1979, Long-wave elastic anisotropy in transversely isotropic media: Geophysics, 44, 896-917.
    • (1979) Geophysics , vol.44 , pp. 896-917
    • Berryman, J.G.1
  • 5
    • 84933323150 scopus 로고
    • Seismic rays and ray intensities in inhomogeneous anisotropic media
    • Červený, V. 1972, Seismic rays and ray intensities in inhomogeneous anisotropic media: Geophys. J. Internat., 29, 1-13.
    • (1972) Geophys. J. Internat. , vol.29 , pp. 1-13
    • Červený, V.1
  • 6
    • 0020454013 scopus 로고
    • Linearized solutions of kinematic problems of seismic body waves in inhomogeneous slightly anisotropic media
    • Červený, V., and Jech, J., 1982. Linearized solutions of kinematic problems of seismic body waves in inhomogeneous slightly anisotropic media: J. Geophys., 51, 96-104.
    • (1982) J. Geophys. , vol.51 , pp. 96-104
    • Červený, V.1    Jech, J.2
  • 7
    • 0026495858 scopus 로고
    • Traveltime tomography in anisotropic media - I. Theory
    • Chapman, C. H., and Pratt, R. G., 1992, Traveltime tomography in anisotropic media - I. Theory: Geophys. J. Internat., 109, 1-19.
    • (1992) Geophys. J. Internat. , vol.109 , pp. 1-19
    • Chapman, C.H.1    Pratt, R.G.2
  • 8
    • 84980254534 scopus 로고
    • Seismic wave propagation through a cracked solid: Polarization as a possible dilatancy diagnostic
    • Crampin, S., 1978, Seismic wave propagation through a cracked solid: Polarization as a possible dilatancy diagnostic: Geophys. J. Roy. Astr. Soc., 53, 467-496.
    • (1978) Geophys. J. Roy. Astr. Soc. , vol.53 , pp. 467-496
    • Crampin, S.1
  • 10
    • 0027528046 scopus 로고
    • Finite difference traveltime calculation for anisotropic media
    • Eaton, D. W. S., 1993, Finite difference traveltime calculation for anisotropic media: Geophys, J. Internat., 114, 273-280.
    • (1993) Geophys, J. Internat. , vol.114 , pp. 273-280
    • Eaton, D.W.S.1
  • 13
    • 84984503236 scopus 로고
    • Interpretation of inaccurate, insufficient and inconsistent data
    • Jackson, D. D., 1972. Interpretation of inaccurate, insufficient and inconsistent data: Geophys. J. Roy. Astr. Soc., 28, 97-110.
    • (1972) Geophys. J. Roy. Astr. Soc. , vol.28 , pp. 97-110
    • Jackson, D.D.1
  • 14
    • 0024922698 scopus 로고
    • First-order perturbation method for anisotropic media
    • Jech, J., and Psencik, I., 1989, First-order perturbation method for anisotropic media: Geophys. J. Internat., 99, 369-376.
    • (1989) Geophys. J. Internat. , vol.99 , pp. 369-376
    • Jech, J.1    Psencik, I.2
  • 16
    • 0000094594 scopus 로고
    • An iterative method for the solution of the eigen-value problem of linear differential and integral operators
    • Lanczos, C., 1950, An iterative method for the solution of the eigen-value problem of linear differential and integral operators: J. Res. Nat. Bur. Stand., 45, 255-282.
    • (1950) J. Res. Nat. Bur. Stand. , vol.45 , pp. 255-282
    • Lanczos, C.1
  • 17
    • 0025592587 scopus 로고
    • Seismic fracture anisotropy in the Earth's crust: An overview
    • Leary, P. C., Crampin, S., and McEvilly, T. V., 1990, Seismic fracture anisotropy in the Earth's crust: An overview: J. Geophys. Res., 95, 11105-11114.
    • (1990) J. Geophys. Res. , vol.95 , pp. 11105-11114
    • Leary, P.C.1    Crampin, S.2    McEvilly, T.V.3
  • 19
    • 0030465934 scopus 로고    scopus 로고
    • A computationally feasible approximate resolution matrix for seismic inverse problems
    • Minkoff, S. E., 1996, A computationally feasible approximate resolution matrix for seismic inverse problems: Geophys. J. Internat., 126, 345-359.
    • (1996) Geophys. J. Internat. , vol.126 , pp. 345-359
    • Minkoff, S.E.1
  • 20
    • 0001513029 scopus 로고
    • Solving or resolving inadequate and noisy tomographic systems
    • Nolet, G., 1985, Solving or resolving inadequate and noisy tomographic systems: J. Comput. Phys., 61, 463-482.
    • (1985) J. Comput. Phys. , vol.61 , pp. 463-482
    • Nolet, G.1
  • 21
    • 0023519937 scopus 로고
    • Seismic wave propagation and Seismic tomography
    • Nolet, G., Ed., D. Reidel
    • _ 1987, Seismic wave propagation and Seismic tomography, in Nolet, G., Ed., Seismic tomography: D. Reidel, 1-23.
    • (1987) Seismic Tomography , pp. 1-23
  • 22
    • 0025682722 scopus 로고
    • Solving large linear inverse problems by projection
    • Nolet, G., and Snieder, R., 1990, Solving large linear inverse problems by projection: Geophys. J. Internat., 103, 565-568.
    • (1990) Geophys. J. Internat. , vol.103 , pp. 565-568
    • Nolet, G.1    Snieder, R.2
  • 23
    • 84976657333 scopus 로고
    • LSQR: An algorithm for sparse linear equations and sparse linear systems
    • Paige, C. C., and Saunders, M. A., 1982, LSQR: An algorithm for sparse linear equations and sparse linear systems: ACM Trans. Math. Software, 8, 195-209.
    • (1982) ACM Trans. Math. Software , vol.8 , pp. 195-209
    • Paige, C.C.1    Saunders, M.A.2
  • 25
    • 0022231006 scopus 로고
    • Applications of algebraic reconstruction techniques to crosshole seismic data
    • Peterson, J. E., Paulsson, B. N. P., and McEvilly, T. V., 1985, Applications of algebraic reconstruction techniques to crosshole seismic data: Geophysics, 50, 1566-1580.
    • (1985) Geophysics , vol.50 , pp. 1566-1580
    • Peterson, J.E.1    Paulsson, B.N.P.2    McEvilly, T.V.3
  • 26
    • 0026468968 scopus 로고
    • Traveltime tomography in anisotropic media - II. Application
    • Pratt, R. G., and Chapman, C. H., 1992, Traveltime tomography in anisotropic media - II. Application: Geophys. J. Internat., 109, 20-37.
    • (1992) Geophys. J. Internat. , vol.109 , pp. 20-37
    • Pratt, R.G.1    Chapman, C.H.2
  • 27
    • 0023471145 scopus 로고
    • Tomographic inversion via the conjugate gradient method
    • Scales, J. A., 1987, Tomographic inversion via the conjugate gradient method: Geophysics, 52, 179-185.
    • (1987) Geophysics , vol.52 , pp. 179-185
    • Scales, J.A.1
  • 28
    • 0024485465 scopus 로고
    • On the use of conjugate gradient to calculate the eigen-values and singular values of large, sparse matrices
    • _ 1989, On the use of conjugate gradient to calculate the eigen-values and singular values of large, sparse matrices: Geophys. J., 97, 179-183.
    • (1989) Geophys. J. , vol.97 , pp. 179-183
  • 29
    • 0000485257 scopus 로고
    • p solution of large, sparse, linear systems: Application to seismic travel time tomography
    • p solution of large, sparse, linear systems: application to seismic travel time tomography: J. Comp. Phys., 75, 314-333.
    • (1988) J. Comp. Phys. , vol.75 , pp. 314-333
    • Scales, J.A.1    Gersztenkorn, A.2    Treitel, S.3
  • 31
    • 84968519566 scopus 로고
    • The Lanczos algorithm with partial reorthogonalization
    • Simon, H. D., 1984, The Lanczos algorithm with partial reorthogonalization: Math. Comp., 42, 115-142.
    • (1984) Math. Comp. , vol.42 , pp. 115-142
    • Simon, H.D.1
  • 32
    • 0026614529 scopus 로고
    • The effects of statics on tomographic velocity reconstructions
    • Squires, L. J., Blakeslee, S. M., and Stoffa, P. L., 1992, The effects of statics on tomographic velocity reconstructions: Geophysics, 57, 353-362.
    • (1992) Geophysics , vol.57 , pp. 353-362
    • Squires, L.J.1    Blakeslee, S.M.2    Stoffa, P.L.3
  • 33
    • 0346599480 scopus 로고
    • An algebraic reconstruction technique for weakly anisotropic velocity
    • Steward, R. R., 1988, An algebraic reconstruction technique for weakly anisotropic velocity: Geophysics., 53, 1613-1615.
    • (1988) Geophysics , vol.53 , pp. 1613-1615
    • Steward, R.R.1
  • 34
    • 0022928914 scopus 로고
    • Weak elastic anisotropy
    • Thomsen, L., 1986, Weak elastic anisotropy: Geophysics., 51, 1954-1966.
    • (1986) Geophysics , vol.51 , pp. 1954-1966
    • Thomsen, L.1
  • 35
    • 0025920023 scopus 로고
    • Bounding seismic velocities using a tomographic method
    • Vasco, D. W., 1991, Bounding seismic velocities using a tomographic method: Geophysics, 56, 472-482.
    • (1991) Geophysics , vol.56 , pp. 472-482
    • Vasco, D.W.1
  • 36
    • 0029478585 scopus 로고
    • Lateral variations in mantle velocity structure and discontinuities determined from P PP, S, SS, and SS-SdS traveltime residuals
    • Vasco, D. W., Pulliam, R. J., and Johnson, L. R., 1995, Lateral variations in mantle velocity structure and discontinuities determined from P PP, S, SS, and SS-SdS traveltime residuals: J. Geophys. Res., 100, 24,037-24,059.
    • (1995) J. Geophys. Res. , vol.100 , pp. 24037-24059
    • Vasco, D.W.1    Pulliam, R.J.2    Johnson, L.R.3
  • 37
    • 0028846384 scopus 로고
    • Estimation of resolution and covariance for large matrix inversions
    • Zhang, J., and McMechan, G. A., 1995. Estimation of resolution and covariance for large matrix inversions: Geophys. J. Internat., 121, 409-426.
    • (1995) Geophys. J. Internat. , vol.121 , pp. 409-426
    • Zhang, J.1    McMechan, G.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.