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Exploration Geophysics Volume 52, 2021 - Issue 6
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Articles

An alternative method based on region fusion to solve L0-norm constrained sparse seismic inversion

Ronghuo Daia School of Mathematics and Information, China West Normal University, Nanchong, People’s Republic of ChinaCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0002-6078-4770View further author information
ORCID Icon &
Jun Yangb School of Geosciences and Technology, Southwest Petroleum University, Chengdu, People’s Republic of ChinaView further author information
Pages 624-632 | Received 08 Jul 2020, Accepted 30 Dec 2020, Published online: 11 Jan 2021

References

  • Alemie, W., and M.D. Sacchi. 2011. High-resolution three-term AVO inversion by means of a Trivariate Cauchy probability distribution. Geophysics 76, no. 3: R43–55.
  • Aster, R.C., B. Borchers, and C.H. Thurber. 2013. Parameter estimation and inverse problems. 2nd ed. Waltham: Elsevier Academic Press.
  • Beck, A., and M. Teboulle. 2009. A fast iterative shrinkage-thresholding algorithm for linear inverse problems. SIAM Journal of Imaging Sciences 2: 183–202.
  • Berteussen, K.A., and B. Ursin. 1983. Approximate computation from seismic data. Geophysics 48: 1351–8.
  • Blumensath, T., and M.E. Davies. 2008. Iterative thresholding for sparse approximations. Journal of Fourier Analysis and Applications 14: 629–54.
  • Chen, G.X., S.C. Chen, H.C. Wang, and B. Zhang. 2013. Geophysical data sparse reconstruction based on L0-norm minimization. Applied Geophysics 10, no. 2: 181–90.
  • Dai, R., C. Yin, S. Yang, and F. Zhang. 2018. Seismic deconvolution and inversion with erratic data. Geophysical Prospecting 66, no. 9: 1684–701.
  • Dai, R., F. Zhang, and H. Liu. 2016. Seismic inversion based on proximal objective function optimization algorithm. Geophysics 81, no. 5: R237–46.
  • Davis, G., S. Mallat, and M. Avellaneda. 1997. Adaptive greedy approximations. Constructive Approximation 13: 57–98.
  • Downton, J.E. 2005. Seismic parameter estimation from AVO inversion. PhD thesis, University of Calgary.
  • Elad, M. 2009. Sparse and redundant representations: From theory to applications in signal and image processing. New York: Springer.
  • Gholami, A. 2015. Nonlinear multichannel impedance inversion by total-variation regularization. Geophysics 80, no. 5: R217–24.
  • Gholami, A. 2016. A fast automatic multichannel blind seismic inversion for high-resolution impedance recovery. Geophysics 81, no. 5: V357–64.
  • Hansen, P.C. 1992. Analysis of discrete ill-posed problems by means of the L-curve. SIAM Review 34: 561–80.
  • Liu, B., J. Li, and S. Zheng. 2018. Seismic sparse spike inversion based on L0 norm approximation. Oil Geophysical Prospecting 53, no. 5: 961–8.
  • Liu, X., X. Yin, G. Wu, and Z. Zong. 2015. Prestack seismic inversion based on orthogonal matching pursuit algorithm. Oil Geophysical Prospecting 50, no. 5: 925–35.
  • Majumdar, A. 2019. Compressed sensing for engineers. New York: CRC Press.
  • Mallat, S.G., and Z. Zhang. 1993. Matching pursuits with time-frequency dictionaries. IEEE Transactions on Signal Processing 41: 3397–415.
  • Menke, W. 1984. Geophysical data analysis: Discrete inverse theory. Orlando: Academic Press.
  • Natarajan, B.K. 1995. Sparse approximate solutions to linear systems. SIAM Journal on Computing 24: 227–34.
  • Nesterov, Y. 2004. Introductory lectures on convex optimization: A basic course. New York: Springer Science + Business Media.
  • Nguyen, R.M.H., and M.S. Brown. 2015. Fast and effective L0 gradient minimization by region fusion. IEEE International Conference on Computer Vision 1: 208–16.
  • Sacchi, M.D. 1997. Reweighting strategies in seismic deconvolution. Geophysical Journal International 129: 651–6.
  • Tarantola, A. 1984. Inversion of seismic reflection data in the acoustic approximation. Geophysics 49: 1259–66.
  • Tarantola, A. 1987. Inverse problem theory: Methods for data fitting and model parameter estimation. Philadelphia: Elsevier Science Publishing.
  • Wang, Y. 2017. Seismic inversion: Theory and applications. Oxford: Wiley Blackwell.
  • Wen, X., B. Zhang, W. Pennington, and Z. He. 2015. Relative P-impedance estimation using a dipole-based matching pursuit decomposition strategy. Interpretation 3: T197–206.
  • Xu, L., C. Lu, Y. Xu, and J. Jia. 2011. Image smoothing via L0 gradient minimization. ACM Transactions on Graphics 1–12. doi:https://doi.org/10.1145/2024156.2024208
  • Yang, J., C. Yin, R. Dai, S. Yang, and F. Zhang. 2019. Seismic impedance inversion via L0 gradient minimization. Exploration Geophysics 50, no. 6: 575–82.
  • Zhang, F., and C. Li. 2012. Seismic signal fast matching pursuit based on the orthogonal time-frequency atom. Chinese Journal of Geophysics 55: 277–83.
  • Zhang, F., R. Dai, and H. Liu. 2014. Seismic inversion based on L1-norm misfit function and total variation regularization. Journal of Applied Geophysics 109: 111–18.

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