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Volumn 76, Issue 5, 2011, Pages

Quest for consistency, symmetry, and simplicity - The legacy of Albert Tarantola

Author keywords

Inversion

Indexed keywords

ASTROPHYSICS; BIOGRAPHIES; SEISMOLOGY;

EID: 84857240386     PISSN: 00168033     EISSN: None     Source Type: Journal    
DOI: 10.1190/geo2010-0328.1     Document Type: Article
Times cited : (17)

References (39)
  • 2
    • 0000786913 scopus 로고
    • Uniqueness in the inversion of inaccurate gross Earth data
    • doi: 10.1098/rsta.1970.0005., PTRSAV, 0370-2316, 10.1098/rsta.1970.0005
    • Backus, G. and F. Gilbert, 1970, Uniqueness in the inversion of inaccurate gross Earth data: Philosophical Transactions of the Royal Society of London, 266, 123-192, doi: 10.1098/rsta.1970.0005. PTRSAV 0370-2316 10.1098/rsta.1970.0005
    • (1970) Philosophical Transactions of the Royal Society of London , vol.266 , pp. 123-192
    • Backus, G.1    Gilbert, F.2
  • 3
    • 0024257390 scopus 로고
    • Comparing hard and soft prior bounds in geophysical inverse problems
    • Backus, G. E., 1988, Comparing hard and soft prior bounds in geophysical inverse problems: Geophysical Journal International, 94, 249-261.
    • (1988) Geophysical Journal International , vol.94 , pp. 249-261
    • Backus, G.E.1
  • 4
    • 68449084865 scopus 로고    scopus 로고
    • Monte Carlo inversion of arrival times for multiple phases in OSVP data: 68th Annual International Meeting, SEG, Expanded Abstracts
    • Barnes, C., M. Charara and A. Tarantola, 1998, Monte Carlo inversion of arrival times for multiple phases in OSVP data: 68th Annual International Meeting, SEG, Expanded Abstracts, 1871-1874.
    • (1998) , pp. 1871-1874
    • Barnes, C.1    Charara, M.2    Tarantola, A.3
  • 5
    • 84857495941 scopus 로고
    • Bayesian Theory: Wiley.
    • Bernardo, J. M. and F. M. Smith, 1994, Bayesian Theory: Wiley.
    • (1994)
    • Bernardo, J.M.1    Smith, F.M.2
  • 6
    • 84857474383 scopus 로고    scopus 로고
    • Tomographie lithologique: methode et applications (in French)
    • Ph.D. thesis, Institut de Physique du Globe, Paris.
    • Bosch, M., 1998, Tomographie lithologique: methode et applications (in French): Ph.D. thesis, Institut de Physique du Globe, Paris.
    • (1998)
    • Bosch, M.1
  • 8
    • 33747623375 scopus 로고    scopus 로고
    • Full waveform inversion of seismic data for a visco-elastic medium: in Methods and Applications of Inversion, Lecture Notes in Earth Sciences, Springer-Verlag, New York.
    • Charara, M., C. Barnes and A. Tarantola, 2000, Full waveform inversion of seismic data for a visco-elastic medium: in Methods and Applications of Inversion, Lecture Notes in Earth Sciences, 92, Springer-Verlag, New York.
    • (2000) , vol.92
    • Charara, M.1    Barnes, C.2    Tarantola, A.3
  • 9
    • 0000689697 scopus 로고
    • Toward a unified theory of reflector mapping
    • doi: 10.1190/1.1440185., 10.1190/1.1440185, GPYSA7, 0016-8033
    • Claerbout, J. F., 1971, Toward a unified theory of reflector mapping: Geophysics, 36, 467-481, doi: 10.1190/1.1440185. 10.1190/1.1440185 GPYSA7 0016-8033
    • (1971) Geophysics , vol.36 , pp. 467-481
    • Claerbout, J.F.1
  • 10
    • 0026480499 scopus 로고
    • Nonlinear elastic waveform inversion of land seismic reflection data
    • doi: 10.1029/90JB00832., 10.1029/90JB00832, JGREA2, 0148-0227
    • Crase, E., C. Wideman, M. Noble and A. Tarantola, 1992, Nonlinear elastic waveform inversion of land seismic reflection data: Journal of Geophysical Research, 97, no. B4, 1992, 4685-4703, doi: 10.1029/90JB00832. 10.1029/90JB00832 JGREA2 0148-0227
    • (1992) Journal of Geophysical Research , pp. 4685-4703
    • Crase, E.1    Wideman, C.2    Noble, M.3    Tarantola, A.4
  • 11
    • 49849114033 scopus 로고
    • Well posed stochastic extensions of ill posed linear problems
    • doi: 10.1016/0022-247X(70)90017-X., 10.1016/0022-247X(70)90017-X JMANAK, 0022-247X
    • Franklin, J. N., 1970, Well posed stochastic extensions of ill posed linear problems: Journal of Mathematical Analysis and Applications, 31, 682-716, doi: 10.1016/0022-247X(70)90017-X. 10.1016/0022-247X(70)90017-X JMANAK 0022-247X
    • (1970) Journal of Mathematical Analysis and Applications , vol.31 , pp. 682-716
    • Franklin, J.N.1
  • 12
    • 0022269167 scopus 로고
    • A Bayesian approach to nonlinear inversion
    • doi: 10.1029/JB090iB01p00581., 10.1029/JB090iB01p00581, JGREA2, 0148-0227
    • Jackson, D. D. and M. Matsu'ura, 1985, A Bayesian approach to nonlinear inversion: Journal of Geophysical Research, 90, B1, 581-591, doi: 10.1029/JB090iB01p00581. 10.1029/JB090iB01p00581 JGREA2 0148-0227
    • (1985) Journal of Geophysical Research , vol.90 , Issue.1 , pp. 581-591
    • Jackson, D.D.1    Matsu'ura, M.2
  • 14
    • 84857481422 scopus 로고
    • Theory of probability: Clarendon Press, Oxford. Reprinted in 1961 by Oxford University Press.
    • Jeffreys, H., 1939, Theory of probability: Clarendon Press, Oxford. Reprinted in 1961 by Oxford University Press.
    • (1939)
    • Jeffreys, H.1
  • 16
    • 0026292640 scopus 로고
    • Monte Carlo estimation and resolution analysis of seismic background velocities
    • doi: 10.1029/91JB02278., 10.1029/91JB02278, JGREA2, 0148-0227
    • Koren, Z., K. Mosegaard, E. Landa, P. Thore and A. Tarantola, 1991, Monte Carlo estimation and resolution analysis of seismic background velocities: Journal of Geophysical Research, 96, no. B12, doi: 10.1029/91JB02278. 10.1029/91JB02278 JGREA2 0148-0227
    • (1991) Journal of Geophysical Research , vol.96 , Issue.12
    • Koren, Z.1    Mosegaard, K.2    Landa, E.3    Thore, P.4    Tarantola, A.5
  • 17
    • 84857481421 scopus 로고
    • The seismic inverse problem as a sequence of before stack migration, in, and, eds., Conference on Inverse Scattering: Theory and Application, SIAM.
    • Lailly, P., 1983, The seismic inverse problem as a sequence of before stack migration, in J. B. Bednar, R. Rednar, E. Robinson and A. Weglein, eds., Conference on Inverse Scattering: Theory and Application, SIAM.
    • (1983)
    • Lailly, P.1    Bednar, J.B.2    Rednar, R.3    Robinson, E.4    Weglein, A.5
  • 18
    • 84857474382 scopus 로고    scopus 로고
    • Non-linear inversion: who was first? Paper presented at the Albert Tarantola Homage Workshop.
    • Lailly, P., 2010, Non-linear inversion: who was first? Paper presented at the Albert Tarantola Homage Workshop.
    • (2010)
    • Lailly, P.1
  • 19
    • 0000873069 scopus 로고
    • A method for the solution of certain nonlinear problems in least-squares
    • QAMAAY, 0033-569X
    • Levenberg, K., 1944, A method for the solution of certain nonlinear problems in least-squares: Quarterly of Applied Mathematics, 2, 164-168. QAMAAY 0033-569X
    • (1944) Quarterly of Applied Mathematics , vol.2 , pp. 164-168
    • Levenberg, K.1
  • 20
    • 84944477553 scopus 로고
    • Generalized inverses, ridge regression, biased linear estimation and non-linear estimation
    • doi: 10.2307/1267205., 10.2307/1267205, TCMTA2, 0040-1706
    • Marquardt, D. W., 1970, Generalized inverses, ridge regression, biased linear estimation and non-linear estimation: Technometrics, 12, 591-612, doi: 10.2307/1267205. 10.2307/1267205 TCMTA2 0040-1706
    • (1970) Technometrics , vol.12 , pp. 591-612
    • Marquardt, D.W.1
  • 21
    • 0029481451 scopus 로고
    • Monte Carlo sampling of solutions to inverse problems
    • 12,431-12,447, doi: 10.1029/94JB03097., 10.1029/94JB03097, JGREA2, 0148-0227
    • Mosegaard, K. and A. Tarantola, 1995, Monte Carlo sampling of solutions to inverse problems: Journal of Geophysical Research, 100, no. B7, 12, 431-12, 447, doi: 10.1029/94JB03097. 10.1029/94JB03097 JGREA2 0148-0227
    • (1995) Journal of Geophysical Research , vol.100 , Issue.7
    • Mosegaard, K.1    Tarantola, A.2
  • 22
    • 77956782351 scopus 로고    scopus 로고
    • Probabilistic Approach to Inverse Problems: Chapter for the International Handbook of Earthquake and Engineering Seismology: Academic Press, 0-12-440652-1. Published for the International Association of Seismology and Physics of the Earth Interior (IASPEI).
    • Mosegaard, K. and A. Tarantola, 2002, Probabilistic Approach to Inverse Problems: Chapter for the International Handbook of Earthquake and Engineering Seismology: Academic Press, 237-265. 0-12-440652-1. Published for the International Association of Seismology and Physics of the Earth Interior (IASPEI).
    • (2002) , pp. 237-265
    • Mosegaard, K.1    Tarantola, A.2
  • 23
    • 85000259359 scopus 로고    scopus 로고
    • Seismic waveform inversion in the frequency domain, part 1: theory and verification in a physical scale model
    • doi: 10.1190/1.1444597., 10.1190/1.1444597, GPYSA7, 0016-8033
    • 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, doi: 10.1190/1.1444597. 10.1190/1.1444597 GPYSA7 0016-8033
    • (1999) Geophysics , vol.64 , pp. 888-901
    • Pratt, R.G.1
  • 24
    • 0022928801 scopus 로고
    • Automatic estimation of large residual statics corrections
    • doi: 10.1190/1.1442092., 10.1190/1.1442092, GPYSA7, 0016-8033
    • Rothman, D. H., 1986, Automatic estimation of large residual statics corrections: Geophysics, 51, 332-346, doi: 10.1190/1.1442092. 10.1190/1.1442092 GPYSA7 0016-8033
    • (1986) Geophysics , vol.51 , pp. 332-346
    • Rothman, D.H.1
  • 25
    • 84856043672 scopus 로고
    • A mathematical theory of communication
    • BSTJAN, 0005-8580
    • Shannon, C. E., 1948, A mathematical theory of communication: Bell System Technical Journal, 27, 379-423. BSTJAN 0005-8580
    • (1948) Bell System Technical Journal , vol.27 , pp. 379-423
    • Shannon, C.E.1
  • 26
    • 0042054426 scopus 로고    scopus 로고
    • Conditional simulation of complex geological structures using multiple-point statistics
    • doi: 10.1023/A:1014009426274., 10.1023/A:1014009426274, MATGED, 0882-8121
    • Strebelle, S., 2002, Conditional simulation of complex geological structures using multiple-point statistics: Mathematical Geology, 34, 1, 1-21, doi: 10.1023/A:1014009426274. 10.1023/A:1014009426274 MATGED 0882-8121
    • (2002) Mathematical Geology , vol.34 , Issue.1 , pp. 1-21
    • Strebelle, S.1
  • 27
    • 43049111440 scopus 로고    scopus 로고
    • A distance-based prior model parameterization for constraining solutions of spatial inverse problems
    • doi: 10.1007/s11004-008-9154-8., 10.1007/s11004-008-9154-8, MGAECK, 1874-8961
    • Suzuki, S. and J. Caers, 2008, A distance-based prior model parameterization for constraining solutions of spatial inverse problems: Mathematical Geosciences, 40, 4, 445-469, doi: 10.1007/s11004-008-9154-8. 10.1007/s11004-008-9154-8 MGAECK 1874-8961
    • (2008) Mathematical Geosciences , vol.40 , Issue.4 , pp. 445-469
    • Suzuki, S.1    Caers, J.2
  • 29
    • 0021474580 scopus 로고
    • Inversion of seismic reflection data in the acoustic approximation
    • doi: 10.1190/1.1441754., 10.1190/1.1441754, GPYSA7, 0016-8033
    • Tarantola, A., 1984, Inversion of seismic reflection data in the acoustic approximation: Geophysics, 49, 1259-1266, doi: 10.1190/1.1441754. 10.1190/1.1441754 GPYSA7 0016-8033
    • (1984) Geophysics , vol.49 , pp. 1259-1266
    • Tarantola, A.1
  • 30
    • 0022928992 scopus 로고
    • A strategy for nonlinear elastic inversion of seismic reflection data
    • doi: 10.1190/1.1442046., 10.1190/1.1442046, GPYSA7, 0016-8033
    • Tarantola, A., 1986, A strategy for nonlinear elastic inversion of seismic reflection data: Geophysics, 51, 1893-1903, doi: 10.1190/1.1442046. 10.1190/1.1442046 GPYSA7 0016-8033
    • (1986) Geophysics , vol.51 , pp. 1893-1903
    • Tarantola, A.1
  • 31
    • 85040870662 scopus 로고
    • Inverse problem theory; methods for data fitting and model parameter estimation: Elsevier.
    • Tarantola, A., 1987, Inverse problem theory; methods for data fitting and model parameter estimation: Elsevier.
    • (1987)
    • Tarantola, A.1
  • 32
    • 0024257273 scopus 로고
    • Theoretical background for the inversion of seismic waveforms, including elasticity and attenuation
    • doi: 10.1007/BF01772605., 10.1007/BF01772605, PAGYAV, 0033-4553
    • Tarantola, A., 1988, Theoretical background for the inversion of seismic waveforms, including elasticity and attenuation: Pure and Applied Geophysics, 128, 1-2, 365-399, doi: 10.1007/BF01772605. 10.1007/BF01772605 PAGYAV 0033-4553
    • (1988) Pure and Applied Geophysics , vol.128 , Issue.1-2 , pp. 365-399
    • Tarantola, A.1
  • 33
    • 84857496699 scopus 로고    scopus 로고
    • Inverse problem theory and methods for model parameter estimation: SIAM
    • Tarantola, A., 2005, Inverse problem theory and methods for model parameter estimation: SIAM, 163-169.
    • (2005) , pp. 163-169
    • Tarantola, A.1
  • 34
    • 84892288628 scopus 로고    scopus 로고
    • Elements for physics_Quantities, qualities, and intrinsic theories: Springer-Verlag Berlin Heidelberg.
    • Tarantola, A., 2006, Elements for physics_Quantities, qualities, and intrinsic theories: Springer-Verlag Berlin Heidelberg.
    • (2006)
    • Tarantola, A.1
  • 35
    • 0019910307 scopus 로고
    • Inverse Problems = Quest for Information
    • JGEOD4, 0340-062X
    • Tarantola, A. and B. Valette, 1982a, Inverse Problems = Quest for Information: Journal of Geophysics, 50, 159-170. JGEOD4 0340-062X
    • (1982) Journal of Geophysics , vol.50 , pp. 159-170
    • Tarantola, A.1    Valette, B.2
  • 36
    • 0019999145 scopus 로고
    • Generalized nonlinear inverse problems solved using the least-squares criterion
    • doi: 10.1029/RG020i002p00219., 10.1029/RG020i002p00219, RGPSBL, 0034-6853
    • Tarantola, A. and B. Valette, 1982b, Generalized nonlinear inverse problems solved using the least-squares criterion: Reviews of Geophysics and Space Physics, 20, 2, 219-232, doi: 10.1029/RG020i002p00219. 10.1029/RG020i002p00219 RGPSBL 0034-6853
    • (1982) Reviews of Geophysics and Space Physics , vol.20 , Issue.2 , pp. 219-232
    • Tarantola, A.1    Valette, B.2
  • 37
    • 0000043665 scopus 로고
    • Resolution of ill-posed problems and the regularization method
    • in Russian, DANKAS, 0002-3264
    • Tikhonov, A. N., 1963, Resolution of ill-posed problems and the regularization method (in Russian): Doklady Akademii Nauk SSSR, 151, 501-504. DANKAS 0002-3264
    • (1963) Doklady Akademii Nauk SSSR , vol.151 , pp. 501-504
    • Tikhonov, A.N.1
  • 38
    • 0025920395 scopus 로고
    • Inversion of post-stack seismic data using simulated annealing
    • doi: 10.1111/gpr.1991.39.issue-5., 10.1111/gpr.1991.39.issue-5, GPPRAR, 0016-8025
    • Vestergaard, P. D. and K. Mosegaard, 1991, Inversion of post-stack seismic data using simulated annealing: Geophysical Prospecting, 39, 613-624, doi: 10.1111/gpr.1991.39.issue-5. 10.1111/gpr.1991.39.issue-5 GPPRAR 0016-8025
    • (1991) Geophysical Prospecting , vol.39 , pp. 613-624
    • Vestergaard, P.D.1    Mosegaard, K.2
  • 39
    • 84857479448 scopus 로고    scopus 로고
    • Theoretical analysis of uncertainty visualization: Proceedings of SPIE, SPIE-6060
    • Zuk, T. and S. et Carpendale, 2006, Theoretical analysis of uncertainty visualization: Proceedings of SPIE, SPIE-6060, 66-79.
    • (2006) , pp. 66-79
    • Zuk, T.1    et Carpendale, S.2


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