A variational approach for picking optimal surfaces from semblance-like panels
Next:
About this document ...
Up:
Decker & Fomel: Variational
Previous:
Appendix B: A Primitive,
Bibliography
Alder, F., and S. Brandwood, 1999, Robust estimation of dense 3-D stacking velocities from automated picking: 69th Annual International Meeting: Society of Exploration Geophysicists Expanded Abstracts, 1162–1165.
Arnaud, J. D., J. P. Dunand, and V. Curinier, 2004, High density picking for accurate velocity and anisotropy determination: 74th Annual International Meeting: Society of Exploration Geophysicists Expanded Abstracts, 1627-1629.
Babich, V. M., and V. S. Buldyrev, 1972, Short-Wavelength Diffraction Theory Asymptotic Methods, 1 ed.: Springer-Verlag, volume
4
of
Springer Series on Wave Phenomena.
Bader, S., X. Wu, and S. Fomel, 2019, Missing log data interpolation and semiautomatic seismic well ties using data matching techniques: Interpretation,
7
, T347-T361.
Blake, A., and A. Zisserman, 1987, Visual reconstruction.
Born, M., and E. Wolf, 1959, Principles of Optics: Pergamon Press Inc.
Candès, E., L. Demanet, and L. Ying, 2009, A fast butterfly algorithm for the computation of Fourier integral operators: Multiscale Modeling & Simulation,
7
, 1727-1750.
Chapelle, O., M. Chi, and A. Zien, 2006, A Continuation Method for Semi-Supervised SVMs: Proceedings of the 23rd International Conference on Machine Learning, Association for Computing Machinery, 185–192.
Chaudhuri, S., and A. Solar-Lezama, 2011, Smoothing a program soundly and robustly: Proceedings of the 23rd International Conference on Computer Aided Verification, Springer-Verlag, 277–292.
Claerbout, J., 1993, Earth soundings analysis: Processing versus inversion: Stanford University Press.
Stanford Exploration Project.
Dacorogna, B., 2004, Introduction to the calculus of variations: Imperial College Press.
EBL-Schweitzer.
de Bazelaire, E., 1988, Normal moveout revisited: Inhomogeneous media and curved interfaces: Geophysics,
53
, 143-157.
Decker, L., 2021, Parameter selection in sesimc data analysis problems: PhD thesis, The University of Texas at Austin.
Decker, L., and S. Fomel, 2018, A finite-element method for blind deconvolution with dynamic frequency wavelets: SEG Technical Program Expanded Abstracts 2018, 4563-4567.
----, 2021, A Probabilistic Approach to Seismic Diffraction Imaging: Lithosphere,
2021
.
(6650633).
Decker, L., A. Klokov, and S. Fomel, 2013, Comparison of seismic diffraction imaging techniques: plane wave destruction versus apex destruction: 83rd Annual International Meeting, SEG, Expanded Abstracts, 4054-4059.
Decker, L., D. Merzlikin, and S. Fomel, 2017, Diffraction imaging and time-migration velocity analysis using oriented velocity continuation: Geophysics,
82
, no. 2, U25-U35.
Decker, L., and Q. Zhang, 2020, Quantifying and correcting residual azimuthal anisotropic moveout in image gathers using dynamic time warping: Geophysics,
85
, O71-O82.
Dennis, Jr., J. E., and J. J. Moré, 1977, Quasi-Newton methods, motivation and theory: SIAM Review,
19
, 46-89.
Deregowski, S., 1986, What is DMO?: First Break,
4
.
----, 1990, Common-offset migrations and velocity analysis: First Break,
8
.
Deschamps, T., and L. D. Cohen, 2001, Fast extraction of minimal paths in 3D images and applications to virtual endoscopy: Medical image analysis,
5
, 281-99.
Dix, C. H., 1955, Seismic velocities from surface measurements: Geophysics,
20
, 68-86.
Dobson, D. C., and C. R. Vogel, 1997, Convergence of an Iterative Method for Total Variation Denoising: SIAM Journal on Numerical Analysis,
34
, 1779-1791.
Doicin, D., C. Johnson, N. Hargreaves, and C. Perkins, 1994, Machine-‐guided velocity interpretation: SEG Technical Program Expanded Abstracts, 1413-1416.
Fomel, S., 2002, Applications of plane wave destruction filters: Geophysics,
67
, no. 6, 1946-1960.
----, 2003, Time migration velocity analysis by velocity continuation: Geophysics,
68
, no. 5, 1662-1672.
----, 2007a, Local seismic attributes: Geophysics,
72
, no. 3, A29-A33.
----, 2007b, Shaping regularization in geophysical-estimation problems: Geophysics,
72
, R29-R36.
----, 2009, Velocity analysis using AB semblance: Geophysical Prospecting,
57
, 311-321.
----, 2010, Predictive painting of 3d seismic volumes: Geophysics,
75
, A25-A30.
Fomel, S., E. Landa, and M. T. Taner, 2007, Post-stack velocity analysis by separation and imaging of seismic diffractions: Geophysics,
72
, U89-U94.
Fomel, S., P. Sava, I. Vlad, Y. Liu, and V. Bashkardin, 2013, Madagascar: open-source software project for multidimensional data analysis and reproducible computational experiments: Journal of Open Research Software,
1
, no. 1, e8.
Fowler, P., 1988, Seismic velocity estimation using prestack time migration: PhD thesis, Stanford University.
Gelfand, I. M., and S. V. Fomin, 2000, Calculus of variations: Dover Publications, Inc.
Greenberg, M. D., 1978, Foundations of Applied Mathematics: Dover Publications, Inc.
Hale, D., 1984, Dip‐moveout by Fourier transform: Geophysics,
49
, 741-757.
----, 2013, Dynamic warping of seismic images: Geophysics,
78
, no. 2, S105-S115.
Harlan, W. S., 2001, Constrained automatic moveout picking from semblances: http://billharlan.com/pub/papers/autopick.pdf.
Hazan, E., K. Y. Levy, and S. Shalev-Shwartz, 2016, On Graduated Optimization for Stochastic Non-Convex Problems: Proceedings of The 33rd International Conference on Machine Learning, PMLR, 1833-1841.
Hoyes, J., and T. Cheret, 2011, A review of “global” interpretation methods for automated 3d horizon picking: The Leading Edge,
30
, 38-47.
Hu, J., S. Fomel, and L. Ying, 2015, A fast algorithm for 3D azimuthally anisotropic velocity scan: Geophysical Prospecting,
63
, 368-377.
Hubral, P., and T. Krey, 1980, Interval velocities from seismic reflection time measurements: Society of Exploration Geophysicists.
Iserles, A., 1996, A First Course in the Numerical Analysis of Differential Equations: Cambridge University Press.
Keys, R. G., and D. J. Foster, 1998,
in
1. A Data Set for Evaluating and Comparing Seismic Inversion Methods: 1-12.
Kiefer, J., 1953, Sequential Minimax Search for a Maximum: Proceedings of the American Mathematical Society,
4
, 502-506.
Lanczos, C., 1966, The variational principles of mechanics: University of Toronto Press.
Larner, K., and V. Celis, 2007, Selective-correlation velocity analysis: Geophysics,
72
, U11-U19.
Li, D.-H., and M. Fukushima, 2001, A modified BFGS method and its global convergence in nonconvex minimization: Journal of Computational and Applied Mathematics,
129
, 15-35.
(Nonlinear Programming and Variational Inequalities).
Li, J., and W. W. Symes, 2007, Interval velocity estimation via NMO-based differential semblance: Geophysics,
72
, U75-U88.
Liu, D. C., and J. Nocedal, 1989, On the limited memory BFGS method for large scale optimization: Math. Program.,
45
, 503–528.
Lomask, J., A. Guitton, S. Fomel, J. Claerbout, and A. A. Valenciano, 2006, Flattening without picking: Geophysics,
71
, P13-P20.
Luenberger, D. G., and Y. Ye, 1984, Linear and nonlinear programming: Springer,
2
.
Mawhin, J., and M. Willem, 2010, Origin and evolution of the palais–smale condition in critical point theory: Journal of Fixed Point Theory and Applications,
7
, 265-290.
Mobahi, H., and J. W. Fisher, 2015, A theoretical analysis of optimization by gaussian continuation: Proceedings of the Twenty-Ninth AAAI Conference on Artificial Intelligence, AAAI Press, 1205-1211.
Mordecai, A., and D. J. Wilde, 1966, Optimality proof for the symmetric Fibonacci search technique: Fibonacci Quarterly,
4
, 265-269.
Mulder, W. A., and A. P. E. ten Kroode, 2002, Automatic velocity analysis by differential semblance optimization: Geophysics,
67
, 1184-1191.
Nocedal, J., 1980, Updating quasi-Newton matrices with limited storage: Mathematics of Computation,
35
, no. 151, 773-782.
Peters, B., J. Granek, and E. Haber, 2019, Multiresolution neural networks for tracking seismic horizons from few training images: Interpretation,
7
, SE201-SE213.
Sherwood, J. W. C., and P. H. Poe, 1972, Continuous velocity estimation and seismic wavelet processing: Geophysics,
37
, no. 5, 769-787.
Shi, Y., X. Wu, and S. Fomel, 2020, Waveform embedding: Automatic horizon picking with unsupervised deep learning: GEOPHYSICS,
85
, WA67-WA76.
Siliqi, R., D. L. Meur, F. Gramar, L. Smith, J. P. Touré, and P. Herrmann, 2003, High-density moveout parameter fields V and
. Part one: Simultaneous automatic picking: 73rd Annual International Meeting: Society of Exploration Geophysicists Expanded Abstracts, 2088–2091.
Smyrlis, G., and V. Zisis, 2004, Local convergence of the steepest descent method in Hilbert spaces: Journal of Mathematical Analysis and Applications,
300
, 436-453.
Sripanich, Y., and S. Fomel, 2018, Fast time-to-depth conversion and interval velocity estimation in the case of weak lateral variations: Geophysics,
83
, no. 3, S227-S235.
Symes, W. W., 1998, High frequency asymptotics, differential semblance, and velocity estimation: SEG Technical Program Expanded Abstracts 1998, 1616-1619.
----, 1999, All stationary points of differential semblance are asymptotic global minimizers: Layered acoustics: https://hdl.handle.net/1911/101915.
Symes, W. W., and J. J. Carazzone, 1991, Velocity inversion by differential semblance optimization: Geophysics,
56
, 654-663.
Taner, M. T., and F. Koehler, 1969, Velocity spectra—Digital computer derivation applications of velocity functions: Geophysics,
34
, 859-881.
Tao, Y., M. Davidson, H. Swan, S. Fomel, J. Malloy, J. Howell, S. Chiu, and R. Olson, 2012, Constrained simultaneous automatic picking for VVAZ analysis: SEG Technical Program Expanded Abstracts, 1-5.
Toldi, J. L., 1989, Velocity analysis without picking: Geophysics,
54
, 191-199.
Vail, P. R., 1977, Seismic stratigraphy and global changes of sea level.: Bull. Am. Assoc. Petrol. Geol., Mem.,
26
, 49-212.
Wu, X., and S. Fomel, 2018a, Automatic fault interpretation with optimal surface voting: Geophysics,
83
, O67-O82.
----, 2018b, Least-squares horizons with local slopes and multigrid correlations: Geophysics,
83
, IM29-IM40.
Wu, X., and D. Hale, 2013, Extracting horizons and sequence boundaries from 3d seismic images: SEG Technical Program Expanded Abstracts 2013, 1440-1445.
----, 2015, Horizon volumes with interpreted constraints: Geophysics,
80
, IM21-IM33.
Wu, Z., 1996, The effective energy transformation scheme as a special continuation approach to global optimization with application to molecular conformation: SIAM J. on Optimization,
6
, 748–768.
Xue, Z., N. Alger, and S. Fomel, 2016, Full-waveform inversion using smoothing kernels: SEG Technical Program Expanded Abstracts 2016, 1358-1363.
Xue, Z., X. Wu, and S. Fomel, 2018, Predictive painting across faults: Interpretation,
6
, T449-T455.
Yan, S., and X. Wu, 2021, Seismic horizon extraction with dynamic programming: Geophysics,
86
, IM51-IM62.
Yilmaz, Ö., 2001, Seismic Data Analysis: Society of Exploration Geophysicists.
2022-05-24