A prestack basis pursuit seismic inversion

Geophysics

Volumn 78, Issue 1, 2013, Pages

  Zhang, Rui ^a   Sen, Mrinal K ^b,c   Srinivasan, Sanjay ^d  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^c NATIONAL GEOPHYSICAL RESEARCH INSTITUTE   (India)

^d The University of Texas at Austin   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

REFLECTION; SEISMOLOGY;

ABSOLUTE VELOCITIES; EXPLORATION AND PRODUCTIONS; LAYER BOUNDARIES; LEAST-SQUARES OPTIMIZATION; OPTIMIZATION FRAMEWORK; OPTIMIZATION METHOD; SEISMIC INVERSION; SEISMIC SECTIONS;

LEAST SQUARES APPROXIMATIONS;

ALGORITHM; AVO METHOD; DATA INVERSION; LEAST SQUARES METHOD; OPTIMIZATION; PRESTACK MIGRATION; SEISMIC SOURCE; SEISMIC VELOCITY; WAVELET;

EID: 84878803617     PISSN: 00168033     EISSN: None     Source Type: Journal    
DOI: 10.1190/GEO2011-0502.1     Document Type: Article

References (32)

1. Aki, K., and P. G. Richards, 1980, Quantitative seismology: Theory and methods: W.H. Freeman.
2. Astfalk, G., I. Lustig, R. Marsten, and D. Shanno, 1992, The interior-point method for linear programming: IEEE Software, 9, 61-68, doi: 10.1109/ 52.143109.
3. Bork, J., and L. Wood, 2001, Seismic interpretation of sonic logs: 71st Annual International Meeting, SEG, Expanded Abstracts, 510-513.
4. Bortfeld, R., 1961, Approximations to the reflection and transmission coefficients of plane longitudinal and transverse waves: Geophysical Prospecting, 9, 485-502, doi: 10.1111/gpr.1961.9.issue-4.
5. Brossier, R., S. Operto, and J. Virieux, 2010, Which data residual norm for robust elastic frequency-domain full waveform inversion: Geophysics, 75, no. 3, R37-R46, doi: 10.1190/1.3379323.
6. Bube, K. P., and R. T. Langan, 1997, Hybrid l1/l2 minimization with applications to tomography: Geophysics, 62, 1183-1195, doi: 10.1190/1 .1444219.
7. Buland, A., and H. Omre, 2003, Bayesian linearized AVO inversion: Geophysics, 68, 185-198, doi: 10.1190/1.1543206.
8. Castagna, J. P., M. L. Batzle, and R. L. Eastwood, 1985, Relationships between compressional-wave and shear-wave velocities in clastic silicate rocks: Geophysics, 50, 571-581, doi: 10.1190/1.1441933.
9. Chen, S. S., D. L. Donoho, and M. A. Saunders, 2001, Atomic decomposition by basis pursuit: SIAM Review, 129-159, doi: 10.1137/ S003614450037906X.
10. Gardner, G. H. F., L. W. Gardner, and A. R. Gregory, 1985, Formation velocity and density - The diagnostic basics for stratigraphic traps: Geophysics, 50, 2085-2095, doi: 10.1190/1.1440465.
11. Gill, P. E., W. Murray, D. B. Poncele, and M. A. Saunders, 1991, Solving reduced KKT systems in barrier methods for linear and quadratic programming: Technical report, Stanford University.
12. Guitton, A., andW. Symes, 2003, Robust inversion of seismic data using the Huber norm: Geophysics, 68, 1310-1319, doi: 10.1190/1.1598124.
13. Li, J., and A. Heap, 2008, A review of spatial interpolation methods for environmental scientists: Geoscience Australia.
14. Liu, Z., and N. Bleistein, 1995, Migration velocity analysis: Theory and an iterative algorithm: Geophysics, 60, 142-153, doi: 10.1190/1 .1443741.
15. Mallick, S., 2001, AVO and elastic impedance: The Leading Edge, 20, 1094-1104, doi: 10.1190/1.1487239.
16. Nguyen, T., and J. Castagna, 2010, High resolution seismic reflectivity inversion: Journal of Seismic Exploration, 303-320.
17. Richards, P. G., and C. W. Frasier, 1976, Scattering of elastic waves from depth-dependent inhomogeneities: Geophysics, 41, 441-458, doi: 10 .1190/1.1440625.
18. Roos, T. T. V., and J.-P. Cornelis, 2006, Interior-point methods for linear optimization: Springer.
19. Scales, J., and L. Tenorio, 2001, Prior information and uncertainty in inverse problems: Geophysics, 66, 389-397, doi: 10.1190/1.1444930.
20. Sen, M. K., and I. G. Roy, 2003, Computation of differential seismograms and iteration adaptive regularization in prestack waveform inversion: Geophysics, 68, 2026-2039, doi: 10.1190/1.1635056.
21. Sen, M. K., and P. L. Stoffa, 1996, Bayesian inference, Gibbs' sampler and uncertainty estimation in geophysical inversion: Geophysical Prospecting, 44, 313-350, doi: 10.1111/gpr.1996.44.issue-2.
22. Srivastava, R. P., and M. K. Sen, 2009, Fractal-based stochastic inversion of poststack seismic data using very fast simulated annealing: Journal of Geophysics and Engineering, 6, 412-425, doi: 10.1088/1742-2132/6/4/ 009.
23. Srivastava, R. P., and M. K. Sen, 2010, Stochastic inversion of prestack seismic data using fractal-based initial models: Geophysics, 75, no. 3, R47-R59, doi: 10.1190/1.3379322.
24. Theune, U., I. O. Jensas, and J. Eidsvik, 2010, Analysis of prior models for a blocky inversion of seismic AVA data: Geophysics, 75, no. 3, C25-C35, doi: 10.1190/1.3427538.
25. Tikhonov, A., 1963, Solution of incorrectly formulated problems and the regularization method: Soviet Math Dokl 4 English translation of Dokl Akad Nauk SSSR, 151, 1035-1038.
26. Varela, O. J., C. Torres-Verdn, and M. K. Sen, 2006, Enforcing smoothness and assessing uncertainty in non-linear one-dimensional prestack seismic inversion: Geophysical Prospecting, 54, 239-259, doi: 10.1111/gpr.2006 .54.issue-3.
27. Wright, M. H., 1992, Interior methods for constrained optimization: Acta Numerica, 1, 341-407, doi: 10.1017/S0962492900002300.
28. Wright, S. J., 1997, Primal-dual interior-point methods: SIAM.
29. Zhang, R., 2010, Basis pursuit seismic inversion: Ph.D. thesis, University of Houston.
30. Zhang, R., and J. Castagna, 2011, Seismic sparse-layer reflectivity inversion using basis pursuit decomposition: Geophysics, 76, no. 6, R147-R158, doi: 10.1190/geo2011-0103.1.
31. Zhang, R., M. K. Sen, S. Phan, and S. Srinivasan, 2012, Stochastic and deterministic seismic inversion methods for thin-bed resolution: Journal of Geophysics and Engineering, 9, 611-618, doi: 10.1088/1742-2132/9/5/ 611.
32. Zoeppritz, K., 1919, Ber reflexion und durchgang seismischer wellen durch unstetigkeitsflchen: Nachrichten von der Kniglichen Gesellschaft der Wissenschaften zu Gttingen, VII. VIIb, 66-84.