151
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

A subspace trust-region method for seismic migration inversion

&
Pages 286-296 | Received 19 Jan 2012, Accepted 20 Jun 2012, Published online: 27 Jul 2012

References

  • W.B. Beydoun, J. Delvaux, M. Mendes, G. Noual, and A. Tarantola, Practical aspects of an elastic migration/inversion of crosshole data for reservoir characterization: A Paris Basin example, Geophysics 54(12) (1989), pp. 1587–1595. doi: 10.1190/1.1442626
  • N. Bleistein, J.K. Cohen, and W. Stockwell, Mathematics of Multidimensional Seismic Imaging, Migration, and Inversion, Springer, New York, 2000.
  • S.H. Gray and N. Bleistein, True-amplitude Gaussian-beam migration, Geophysics 74(02) (2009), pp. S11–S23. doi: 10.1190/1.3052116
  • M.V. de Hoop, B. Robert, S. Carl and D. Miller, Generalized radon transform/amplitude versus angle (GRT/AVA) migration/inversion in anisotropic media, Proc. SPIE 15 (1994), pp. 2301.
  • S. Jin and R. Madariaga, Nonlinear velocity inversion by a two-step Monte Carlo method, Geophysics 59 (1994), pp. 577. doi: 10.1190/1.1443618
  • C. Lanczos, Linear Differential Operators, Van Nostrand, London, 1961, pp. 120–124.
  • T. Nemeth, C.J. Wu, and G.T. Schuster, Least-squares migration of incomplete reflection data, Geophysics 64(1) (1999), pp. 208–221. doi: 10.1190/1.1444517
  • M.M. Popov, Ray Theory and Gaussian Beam Method for Geophysicists, EDUFBA, Salvador, 2002.
  • M.D. Sacchi, J.F. Wang, and H. Kuehl, Regularized Migration/Inversion: New Generation of Seismic Imaging Algorithm, CSEG Recorder, 2006 Special Edition, Canadian Society of Exploration Geophysicists, Calgary, pp. 54–59.
  • R.H. Stolt and A.B. Weglein, Migration and inversion of seismic data, Geophysics 50(12) (1985), pp. 2458–2472. doi: 10.1190/1.1441877
  • A.N. Tikhonov and V.Y. Arsenin, Solutions of Ill-Posed Problems, John Wiley and Sons, New York, 1977.
  • C.R. Vogel, Computational Methods for Inverse Problems, SIAM, Philadelphia, PA, 2002.
  • Y.F. Wang, Computational Methods for Inverse Problem and Their Applications (New Frontiers of Sciences), Higher Education Press, Beijing, 2007 (in Chinese).
  • Y.F. Wang, On iterative regularization methods for migration deconvolution and inversion in seismic imaging, Chinese J. Geophys. 52(3) (2009), pp. 704–715. doi: 10.1002/cjg2.1392
  • Y.F. Wang, Accelerating migration deconvolution using a nonmonotone gradient method, Geophysics 75(4) (2010), pp. 131–137. doi: 10.1190/1.3457923
  • Y.F. Wang, Seismic impedance inversion using l1-norm regularization and gradient descent methods, J. Inverse Ill-posed Probl. 18 (2011), pp. 823–838.
  • Y.F. Wang and S.Q. Ma, A fast subspace method for image deblurring, Appl. Math. Comput. 215(6) (2009), pp. 2359–2377. doi: 10.1016/j.amc.2009.08.033
  • Y.F. Wang and Y.X. Yuan, Convergence and regularity of trust region methods for nonlinear ill-posed inverse problems, Inverse Probl. 21 (2005), pp. 821–838. doi: 10.1088/0266-5611/21/3/003
  • Y.F. Wang, J.J. Cao, and C.C. Yang, Recovery of seismic wavefields based on compressive sensing by an l1-norm constrained trust region method and the piecewise random sub-sampling, Geophys. J. Int. 187 (2011), pp. 199–213. doi: 10.1111/j.1365-246X.2011.05130.x
  • S. Xu and L. Gilles, Fast migration/inversion with multivalued rayfields: Part I method, validation test, and application in 2D to Marmousi, Geophysics 69(5) (2004), pp. 1311–1319 doi: 10.1190/1.1801947
  • Y.X. Yuan, Numerical Methods for Nonlinear Programming, Shanghai Scientific and Technical Publishers, Shanghai, 1993 (in Chinese).

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.