메뉴 건너뛰기




Volumn 74, Issue 6, 2009, Pages

Algorithmic strategies for full waveform inversion: 1D experiments

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINT THEORY; IMAGE DENOISING; NUMERICAL METHODS; QUADRATIC PROGRAMMING; SEISMOLOGY;

EID: 84861198886     PISSN: 00168033     EISSN: None     Source Type: Journal    
DOI: 10.1190/1.3237116     Document Type: Article
Times cited : (66)

References (47)
  • 1
    • 36149030663 scopus 로고
    • Analysis of bounded variation penalty methods for ill-posed problems
    • inp INPEEY, 0266-5611, 10.1088/0266-5611/10/6/003
    • Acar, R. Vogel, C., 1994, Analysis of bounded variation penalty methods for ill-posed problems: Inverse Problems, 10, 1217-1229.inp, INPEEY, 0266-5611, 10.1088/0266-5611/10/6/003
    • (1994) Inverse Problems , vol.10 , pp. 1217-1229
    • Acar, R.1    Vogel, C.2
  • 3
    • 85026604113 scopus 로고    scopus 로고
    • Parallel multiscale Gauss-Newton-Krylov methods for inverse wave propagation: Proceedings of the IEEE/ACM SC2002 Conference
    • Akcelik, V. Biros, G. Ghattas, O., 2002, Parallel multiscale Gauss-Newton-Krylov methods for inverse wave propagation: Proceedings of the IEEE/ACM SC2002 Conference, 1-15.
    • (2002) , pp. 1-15
    • Akcelik, V.1    Biros, G.2    Ghattas, O.3
  • 4
    • 0022661397 scopus 로고
    • A mesh-independence principle for operator equations and their discretizations
    • sja SJNAAM, 0036-1429, 10.1137/0723011
    • Allgower, E.L. Böhmer, K. Potra, F.A. Rheinboldt, W.C., 1986, A mesh-independence principle for operator equations and their discretizations: SIAM Journal on Numerical Analysis, 23, 160-169.sja, SJNAAM, 0036-1429, 10.1137/0723011
    • (1986) SIAM Journal on Numerical Analysis , vol.23 , pp. 160-169
    • Allgower, E.L.1    Böhmer, K.2    Potra, F.A.3    Rheinboldt, W.C.4
  • 5
    • 0000768522 scopus 로고
    • About the stability of the inverse problem in 1-D wave equations - Application to the interpretation of seismic profiles
    • awe AMOMBN, 0095-4616, 10.1007/BF01442542
    • Bamberger, A. Chavent, G. Lailly, P., 1979, About the stability of the inverse problem in 1-D wave equations - Application to the interpretation of seismic profiles: Applied Mathematics and Optimization, 5, 1-47.awe, AMOMBN, 0095-4616, 10.1007/BF01442542
    • (1979) Applied Mathematics and Optimization , vol.5 , pp. 1-47
    • Bamberger, A.1    Chavent, G.2    Lailly, P.3
  • 6
    • 33846030493 scopus 로고    scopus 로고
    • Full waveform tomography for lithospheric imaging: Results from a blind test in a realistic crustal model
    • gji GJINEA, 0956-540X, 10.1111/j.1365-246X.2006.03156.x
    • Brenders, A.J. Pratt, R.G., 2007, Full waveform tomography for lithospheric imaging: Results from a blind test in a realistic crustal model: Geophysical Journal International, 168, 133-151.gji, GJINEA, 0956-540X, 10.1111/j.1365-246X.2006.03156.x
    • (2007) Geophysical Journal International , vol.168 , pp. 133-151
    • Brenders, A.J.1    Pratt, R.G.2
  • 7
    • 0020840365 scopus 로고
    • The one-dimensional inverse problem of reflection seismology
    • sir SIREAD, 0036-1445, 10.1137/1025122
    • Bube, K.P. Burridge, R., 1983, The one-dimensional inverse problem of reflection seismology: SIAM Review, 25, 497-559.sir, SIREAD, 0036-1445, 10.1137/1025122
    • (1983) SIAM Review , vol.25 , pp. 497-559
    • Bube, K.P.1    Burridge, R.2
  • 8
    • 0029526165 scopus 로고
    • Multiscale seismic waveform inversion
    • gpy GPYSA7, 0016-8033, 10.1190/1.1443880
    • Bunks, C. Saleck, F. Zaleski, S. Chavent, G., 1995, Multiscale seismic waveform inversion: Geophysics, 50, 1457-1473.gpy, GPYSA7, 0016-8033, 10.1190/1.1443880
    • (1995) Geophysics , vol.50 , pp. 1457-1473
    • Bunks, C.1    Saleck, F.2    Zaleski, S.3    Chavent, G.4
  • 9
    • 0033295350 scopus 로고    scopus 로고
    • A nonlinear primal-dual method for total variation-based image restoration
    • 8sm SJOCE3, 1064-8275, 10.1137/S1064827596299767
    • Chan, T. Golub, G. Mulet, P., 1999, A nonlinear primal-dual method for total variation-based image restoration: SIAM Journal on Scientific Computing, 20, 1964-1977.8sm, SJOCE3, 1064-8275, 10.1137/S1064827596299767
    • (1999) SIAM Journal on Scientific Computing , vol.20 , pp. 1964-1977
    • Chan, T.1    Golub, G.2    Mulet, P.3
  • 10
    • 0015961591 scopus 로고
    • Identification of parameters in distributed systems
    • Identification of functional parameters in partial differential equations and eds :
    • Chavent, G., 1974, Identification of functional parameters in partial differential equations, , in R. E. Goodson and M. Polis, eds., Identification of parameters in distributed systems: American Society of Mechanical Engineers, 31-48.
    • (1974) American Society of Mechanical Engineers , pp. 31-48
    • Chavent, G.1
  • 11
    • 85026614274 scopus 로고
    • Waveform inversion by MBTT formulation: Proceedings of the 3rd International Conference on Mathematical and Numerical Aspects of Wave Propagation
    • Chavent, G. Clément, F. Gómez, S., 1995, Waveform inversion by MBTT formulation: Proceedings of the 3rd International Conference on Mathematical and Numerical Aspects of Wave Propagation, 713-722.
    • (1995) , pp. 713-722
    • Chavent, G.1    Clément, F.2    Gómez, S.3
  • 12
    • 34447284241 scopus 로고    scopus 로고
    • Full 3D tomography for the crustal structure of the Los Angeles region
    • bss BSSAAP, 0037-1106, 10.1785/0120060222
    • Chen, P. Zhao, L. Jordan, T.H., 2007, Full 3D tomography for the crustal structure of the Los Angeles region: Bulletin of the Seismological Society of America, 97, 1094-1120.bss, BSSAAP, 0037-1106, 10.1785/0120060222
    • (2007) Bulletin of the Seismological Society of America , vol.97 , pp. 1094-1120
    • Chen, P.1    Zhao, L.2    Jordan, T.H.3
  • 13
    • 0003951723 scopus 로고    scopus 로고
    • Trust-region methods
    • SIAM
    • Conn, A. Gould, N. Toint, P., 2000, Trust-region methods: SIAM.
    • (2000)
    • Conn, A.1    Gould, N.2    Toint, P.3
  • 15
    • 0020763823 scopus 로고
    • Truncated-Newton algorithms for large-scale unconstrained optimization
    • mhp MHPGA4, 0025-5610, 10.1007/BF02592055
    • Dembo, R.S. Steihaug, T., 1983, Truncated-Newton algorithms for large-scale unconstrained optimization: Mathematical Programming, 26, 190-212.mhp, MHPGA4, 0025-5610, 10.1007/BF02592055
    • (1983) Mathematical Programming , vol.26 , pp. 190-212
    • Dembo, R.S.1    Steihaug, T.2
  • 16
    • 85026600114 scopus 로고    scopus 로고
    • Newton methods for nonlinear problems: Affine invariance and adaptive algorithms: Springer
    • Deuflhard, P., 2004, Newton methods for nonlinear problems: Affine invariance and adaptive algorithms: Springer.
    • (2004)
    • Deuflhard, P.1
  • 17
    • 0000427927 scopus 로고    scopus 로고
    • Convergence of an iterative method for total variation denoising
    • sja SJNAAM, 0036-1429, 10.1137/S003614299528701X
    • Dobson, D. Vogel, C.R., 1997, Convergence of an iterative method for total variation denoising: SIAM Journal on Numerical Analysis, 34, 1779-1791.sja, SJNAAM, 0036-1429, 10.1137/S003614299528701X
    • (1997) SIAM Journal on Numerical Analysis , vol.34 , pp. 1779-1791
    • Dobson, D.1    Vogel, C.R.2
  • 18
    • 0001330894 scopus 로고
    • Globally convergent inexact Newton methods
    • au9 SJOPE8, 1052-6234, 10.1137/0804022
    • Eisenstat, S.C. Walker, H.F., 1994, Globally convergent inexact Newton methods: SIAM Journal on Optimization, 4, 393-422.au9, SJOPE8, 1052-6234, 10.1137/0804022
    • (1994) SIAM Journal on Optimization , vol.4 , pp. 393-422
    • Eisenstat, S.C.1    Walker, H.F.2
  • 19
    • 0003176174 scopus 로고    scopus 로고
    • Choosing the forcing terms in an inexact Newton method
    • 1996, Choosing the forcing terms in an inexact Newton method: SIAM Journal on Scientific Computing, 17, 16-32.8sm, SJOCE3, 1064-8275, 10.1137/0917003
    • (1996) SIAM Journal on Scientific Computing , vol.17 , pp. 16-32
  • 20
    • 44449150968 scopus 로고    scopus 로고
    • A Newton-CG method for large-scale three-dimensional elastic full-waveform seismic inversion
    • inp INPEEY, 0266-5611, 10.1088/0266-5611/24/3/034015
    • Epanomeritakis, I. Akcelik, V. Ghattas, O. Bielak, J., 2008, A Newton-CG method for large-scale three-dimensional elastic full-waveform seismic inversion: Inverse Problems, 24, 034015.inp, INPEEY, 0266-5611, 10.1088/0266-5611/24/3/034015
    • (2008) Inverse Problems , vol.24 , pp. 034015
    • Epanomeritakis, I.1    Akcelik, V.2    Ghattas, O.3    Bielak, J.4
  • 21
    • 1542562895 scopus 로고    scopus 로고
    • Perspectives in flow control and optimization
    • SIAM
    • Gunzburger, M.D., 2003, Perspectives in flow control and optimization: SIAM.
    • (2003)
    • Gunzburger, M.D.1
  • 22
    • 0000409919 scopus 로고
    • Mesh independence for nonlinear least squares problems with norm constraints
    • au9 SJOPE8, 1052-6234, 10.1137/0803005
    • Heinkenschloss, M., 1993, Mesh independence for nonlinear least squares problems with norm constraints: SIAM Journal on Optimization, 3, 81-117.au9, SJOPE8, 1052-6234, 10.1137/0803005
    • (1993) SIAM Journal on Optimization , vol.3 , pp. 81-117
    • Heinkenschloss, M.1
  • 23
    • 0005007016 scopus 로고
    • Gauss-Newton methods with grid refinement and eds Optimal control of partial differential equations: Birkhäuser
    • Heinkenschloss, M. Laumen, M. Sachs, E.W., 1991, Gauss-Newton methods with grid refinement, , in W. Desch, F. Kappel, and K. Kunisch, eds., Optimal control of partial differential equations: Birkhäuser, 161-174.
    • (1991) , pp. 161-174
    • Heinkenschloss, M.1    Laumen, M.2    Sachs, E.W.3
  • 24
    • 33750907316 scopus 로고    scopus 로고
    • A SQP-semismooth Newton-type algorithm applied to control of the instationary Navier-Stokes system subject to control constraints
    • au9 SJOPE8, 1052-6234, 10.1137/030601259
    • Hintermüller, M. Hinze, M., 2006, A SQP-semismooth Newton-type algorithm applied to control of the instationary Navier-Stokes system subject to control constraints: SIAM Journal on Optimization, 16, 1177-1200.au9, SJOPE8, 1052-6234, 10.1137/030601259
    • (2006) SIAM Journal on Optimization , vol.16 , pp. 1177-1200
    • Hintermüller, M.1    Hinze, M.2
  • 25
    • 0041657515 scopus 로고    scopus 로고
    • The primal-dual active set strategy as a semi-smooth Newton method
    • au9 SJOPE8, 1052-6234, 10.1137/S1052623401383558
    • Hintermüller, M. Ito, K. Kunisch, K., 2003, The primal-dual active set strategy as a semi-smooth Newton method: SIAM Journal on Optimization, 13, 865-888.au9, SJOPE8, 1052-6234, 10.1137/S1052623401383558
    • (2003) SIAM Journal on Optimization , vol.13 , pp. 865-888
    • Hintermüller, M.1    Ito, K.2    Kunisch, K.3
  • 26
    • 77950679349 scopus 로고    scopus 로고
    • An infeasible primal-dual algorithm for total variation-based INF-convolution-type image restoration
    • 8sm SJOCE3, 1064-8275, 10.1137/040613263
    • Hintermüller, M. Stadler, G., 2006, An infeasible primal-dual algorithm for total variation-based INF-convolution-type image restoration: SIAM Journal on Scientific Computing, 28, 1-23.8sm, SJOCE3, 1064-8275, 10.1137/040613263
    • (2006) SIAM Journal on Scientific Computing , vol.28 , pp. 1-23
    • Hintermüller, M.1    Stadler, G.2
  • 27
    • 0022687639 scopus 로고
    • Pre-stack inversion of a 1-D medium
    • iee IEEPAD, 0018-9219, 10.1109/PROC.1986.13490
    • Kolb, P. Collino, F. Lailly, P., 1986, Pre-stack inversion of a 1-D medium: Proceedings of the IEEE, 74, 498-508.iee, IEEPAD, 0018-9219, 10.1109/PROC.1986.13490
    • (1986) Proceedings of the IEEE , vol.74 , pp. 498-508
    • Kolb, P.1    Collino, F.2    Lailly, P.3
  • 28
    • 0025919902 scopus 로고
    • Wave-equation traveltime inversion
    • gpy GPYSA7, 0016-8033, 10.1190/1.1443081
    • Luo, Y. Schuster, G.T., 1991, Wave-equation traveltime inversion: Geophysics, 56, 645-653.gpy, GPYSA7, 0016-8033, 10.1190/1.1443081
    • (1991) Geophysics , vol.56 , pp. 645-653
    • Luo, Y.1    Schuster, G.T.2
  • 29
    • 85026606934 scopus 로고    scopus 로고
    • Numerical optimization: Springer
    • Nocedal, J. Wright, S.J., 1999, Numerical optimization: Springer.
    • (1999)
    • Nocedal, J.1    Wright, S.J.2
  • 30
    • 33750722128 scopus 로고    scopus 로고
    • A review of the adjoint-state method for computing the gradient of a functional with geophysical applications
    • gji GJINEA, 0956-540X, 10.1111/j.1365-246X.2006.02978.x
    • Plessix, R.-E., 2006, A review of the adjoint-state method for computing the gradient of a functional with geophysical applications: Geophysical Journal International, 167, 495-503.gji, GJINEA, 0956-540X, 10.1111/j.1365-246X.2006.02978.x
    • (2006) Geophysical Journal International , vol.167 , pp. 495-503
    • Plessix, R.-E.1
  • 32
    • 85000259359 scopus 로고    scopus 로고
    • Seismic waveform inversion in the frequency domain, Part 1: Theory and verification in a physical scale model
    • gpy GPYSA7, 0016-8033, 10.1190/1.1444597
    • Pratt, R.G., 1999, Seismic waveform inversion in the frequency domain, Part 1: Theory and verification in a physical scale model: Geophysics, 64, 888-901.gpy, GPYSA7, 0016-8033, 10.1190/1.1444597
    • (1999) Geophysics , vol.64 , pp. 888-901
    • Pratt, R.G.1
  • 33
    • 0031843118 scopus 로고    scopus 로고
    • Gauss-Newton and full Newton methods in frequency-space seismic waveform inversion
    • gji GJINEA, 0956-540X, 10.1046/j.1365-246X.1998.00498.x
    • Pratt, R.G. Shin, C. Hicks, G.J., 1998, Gauss-Newton and full Newton methods in frequency-space seismic waveform inversion: Geophysical Journal International, 133, 341-362.gji, GJINEA, 0956-540X, 10.1046/j.1365-246X.1998.00498.x
    • (1998) Geophysical Journal International , vol.133 , pp. 341-362
    • Pratt, R.G.1    Shin, C.2    Hicks, G.J.3
  • 34
    • 44049111982 scopus 로고
    • Nonlinear total variation based noise removal algorithms
    • phd PDNPDT, 0167-2789, 10.1016/0167-2789(92)90242-F
    • Rudin, L. Osher, S. Fatemi, E., 1992, Nonlinear total variation based noise removal algorithms: Physica D, 60, 259-268.phd, PDNPDT, 0167-2789, 10.1016/0167-2789(92)90242-F
    • (1992) Physica D , vol.60 , pp. 259-268
    • Rudin, L.1    Osher, S.2    Fatemi, E.3
  • 35
    • 1842829625 scopus 로고    scopus 로고
    • Iterative methods for sparse linear systems, 2nd ed.
    • SIAM
    • Saad, Y., 2003, Iterative methods for sparse linear systems, 2nd ed.: SIAM.
    • (2003)
    • Saad, Y.1
  • 36
    • 0042906683 scopus 로고
    • A simple computational scheme for determining the sound speed of an acoustic medium from its surface impulse response
    • sss SIJCD4, 0196-5204, 10.1137/0908048
    • Sacks, P. Santosa, F., 1987, A simple computational scheme for determining the sound speed of an acoustic medium from its surface impulse response: SIAM Journal on Scientific and Statistical Computing, 8, 501-520.sss, SIJCD4, 0196-5204, 10.1137/0908048
    • (1987) SIAM Journal on Scientific and Statistical Computing , vol.8 , pp. 501-520
    • Sacks, P.1    Santosa, F.2
  • 37
    • 84986398219 scopus 로고
    • The determination of a layered acoustic medium via multiple impedance profile inversions from plane wave responses
    • gjr GEOJAN, 0016-8009
    • Santosa, F. Symes, W.W., 1985, The determination of a layered acoustic medium via multiple impedance profile inversions from plane wave responses: Geophysical Journal of the Royal Astronomical Society, 81, 175-195.gjr, GEOJAN, 0016-8009
    • (1985) Geophysical Journal of the Royal Astronomical Society , vol.81 , pp. 175-195
    • Santosa, F.1    Symes, W.W.2
  • 38
    • 0000232487 scopus 로고
    • Computation of the Hessian for least-squares solutions of inverse problems of reflection seismology
    • 1988, Computation of the Hessian for least-squares solutions of inverse problems of reflection seismology: Inverse Problems, 4, 211-233.inp, INPEEY, 0266-5611, 10.1088/0266-5611/4/1/017
    • (1988) Inverse Problems , vol.4 , pp. 211-233
  • 39
    • 85040885622 scopus 로고
    • An analysis of least squares velocity inversion
    • SEG
    • 1989, An analysis of least squares velocity inversion: SEG.
    • (1989)
  • 40
    • 1842538025 scopus 로고    scopus 로고
    • Efficient waveform inversion and imaging: A strategy for selecting temporal frequencies
    • gpy GPYSA7, 0016-8033, 10.1190/1.1649391
    • Sirgue, L. Pratt, R.G., 2004, Efficient waveform inversion and imaging: A strategy for selecting temporal frequencies: Geophysics, 69, 231-248.gpy, GPYSA7, 0016-8033, 10.1190/1.1649391
    • (2004) Geophysics , vol.69 , pp. 231-248
    • Sirgue, L.1    Pratt, R.G.2
  • 41
    • 53549093318 scopus 로고    scopus 로고
    • Migration velocity analysis and waveform inversion
    • 8uc GPPRAR, 0016-8025, 10.1111/j.1365-2478.2008.00698.x
    • Symes, W.W., 2008, Migration velocity analysis and waveform inversion: Geophysical Prospecting, 56, 765-790.8uc, GPPRAR, 0016-8025, 10.1111/j.1365-2478.2008.00698.x
    • (2008) Geophysical Prospecting , vol.56 , pp. 765-790
    • Symes, W.W.1
  • 42
    • 0025919892 scopus 로고
    • Velocity inversion by differential semblance optimization
    • gpy GPYSA7, 0016-8033, 10.1190/1.1443082
    • Symes, W.W. Carazzone, J.J., 1991, Velocity inversion by differential semblance optimization: Geophysics, 56, 654-663.gpy, GPYSA7, 0016-8033, 10.1190/1.1443082
    • (1991) Geophysics , vol.56 , pp. 654-663
    • Symes, W.W.1    Carazzone, J.J.2
  • 43
    • 33847787341 scopus 로고    scopus 로고
    • Finite-frequency tomography using adjoint methods - Methodology and examples using membrane surface waves
    • gji GJINEA, 0956-540X, 10.1111/j.1365-246X.2006.03191.x
    • Tape, C. Liu, Q. Tromp, J., 2007, Finite-frequency tomography using adjoint methods - Methodology and examples using membrane surface waves: Geophysical Journal International, 168, 1105-1129.gji, GJINEA, 0956-540X, 10.1111/j.1365-246X.2006.03191.x
    • (2007) Geophysical Journal International , vol.168 , pp. 1105-1129
    • Tape, C.1    Liu, Q.2    Tromp, J.3
  • 44
    • 0022928992 scopus 로고
    • A strategy for nonlinear elastic inversion of seismic reflection data
    • gpy GPYSA7, 0016-8033, 10.1190/1.1442046
    • Tarantola, A., 1986, A strategy for nonlinear elastic inversion of seismic reflection data: Geophysics, 51, 1893-1903.gpy, GPYSA7, 0016-8033, 10.1190/1.1442046
    • (1986) Geophysics , vol.51 , pp. 1893-1903
    • Tarantola, A.1
  • 45
    • 85026607374 scopus 로고
    • Solution of ill-posed problems: Winston & Sons
    • Tikhonov, A.N. Arsenin, V.A., 1977, Solution of ill-posed problems: Winston & Sons.
    • (1977)
    • Tikhonov, A.N.1    Arsenin, V.A.2
  • 46
    • 13344261374 scopus 로고    scopus 로고
    • Seismic tomography, adjoint methods, time reversal and banana-doughnut kernels
    • gji GJINEA, 0956-540X, 10.1111/j.1365-246X.2004.02453.x
    • Tromp, J. Tape, C. Liu, Q., 2005, Seismic tomography, adjoint methods, time reversal and banana-doughnut kernels: Geophysical Journal International, 160, 195-216.gji, GJINEA, 0956-540X, 10.1111/j.1365-246X.2004.02453.x
    • (2005) Geophysical Journal International , vol.160 , pp. 195-216
    • Tromp, J.1    Tape, C.2    Liu, Q.3
  • 47
    • 0001556589 scopus 로고    scopus 로고
    • Iterative methods for total variation denoising
    • 8sm SJOCE3, 1064-8275, 10.1137/0917016
    • Vogel, C.R. Oman, M.E., 1996, Iterative methods for total variation denoising: SIAM Journal on Scientific Computing, 17, 227-238.8sm, SJOCE3, 1064-8275, 10.1137/0917016
    • (1996) SIAM Journal on Scientific Computing , vol.17 , pp. 227-238
    • Vogel, C.R.1    Oman, M.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.