Sparse constrained encoding multi-source full waveform inversion method based on K-SVD dictionary learning

Applied Geophysics - Tập 17 - Trang 111-123 - 2020
Yun-dong Guo1,2, Jian-Ping Huang1,3, Cui Chao1,3, Zhen-Chun Li1,3, Qing-Yang Li1,2, Wei Wei4
1School of Geosciences, China University of Petroleum (East China), Qingdao, China
2Geophysical Exploration Research Institute of Zhongyuan Oilfield Company, Puyang, China
3Laboratory for Marine Mineral Resources, Qingdao National Laboratory for Marine Science and Technology, Qingdao, China
4Sinopec Petroleum Exploration and Production Research Institute, Beijing, China

Tóm tắt

Full waveform inversion (FWI) is an extremely important velocity-model-building method. However, it involves a large amount of calculation, which hindsers its practical application. The multi-source technology can reduce the number of forward modeling shots during the inversion process, thereby improving the efficiency. However, it introduces cross-noise problems. In this paper, we propose a sparse constrained encoding multi-source FWI method based on K-SVD dictionary learning. The phase encoding technology is introduced to reduce crosstalk noise, whereas the K-SVD dictionary learning method is used to obtain the basis of the transformation according to the characteristics of the inversion results. The multi-scale inversion method is adopted to further enhance the stability of FWI. Finally, the synthetic subsag model and the Marmousi model are set to test the effectiveness of the newly proposed method. Analysis of the results suggest the following: (1) The new method can effectively reduce the computational complexity of FWI while ensuring inversion accuracy and stability; (2) The proposed method can be combined with the time-domain multi-scale FWI strategy flexibly to further avoid the local minimum and to improve the stability of inversion, which is of significant importance for the inversion of the complex model.

Tài liệu tham khảo

Aharon, M., Elad, M., and Bruckstein, A., 2006, K-SVD: An algorithm for designing overcomplete dictionaries for sparse representation: IEEE Transactions on Signal Processing, 54(11), 4311–4322. Berenger, J.P., 1994, A perfectly matched layer for the absorption of electromagnetic waves: Journal of computational physics, 114(2), 185–200. Berkhout, A. J. G., 2008, Changing the mindset in seismic data acquisition: The Leading Edge, 27(7), 924–938. Boonyasiriwat, C., Valasek, P., Routh, P., et al., 2009, Anefficient multiscale method for time-domain waveform tomography: Geophysics, 74(6), WCC59–WCC68. Brossier, R., Operto, S., and Virieux, J., 2009, Seismic imaging of complex onshore structures by 2D elastic frequency-domain full-waveform inversion: Geophysics, 74(6), WCC105–WCC118. Bunks, C., Saleck, F. M., Zaleski, S., et al., 1995, Multiscale seismic waveform inversion: Geophysics, 60(5), 1457–1473. Candès, E., Demanet, L., Donoho, D., et al., 2006, Fast discrete curvelet transforms: SIAM Multiscale Modeling and Simulation, 5(1), 861–899. Chao, C., Huang, J. P., Li, Z. C., et al., 2017, Reflection full-waveform inversion using a modified phase misfit function: Applied Geophysics, 14(3), 407–418. Dong, L. G., Chi, B. X., Tao, J. X., et al., 2013, Objective-functionbehavior in acoustic full-waveform inversion: Chinese Journal of Geophysics, 56(10), 3445–3460. Dutta, G., 2017, Sparse least-squares reverse time migration using seislets: Journal of Applied Geophysics, 136, 142–155. Elad, M., and Aharon, M., 2006, Image denoising via sparse and redundant representations over learned dictionaries: IEEE Transactionson Image Processing, 15(12), 3736–3745. Gauthier, O., Virieux, J., and Tarantola, A., 1986 Two-dimensional nonlinear inversion of seismic waveforms: Numerical results: Geophysics, 51(7): 1387–1403. Han, M., Han, L., Liu, C., et al., 2013, Frequency-domain auto-adapting full waveform inversion with blended source and frequency-group encoding: Applied Geophysics, 10(1), 41–52. Huang, C., Dong, L. G., Chi, B. X., 2015, Elastic envelope inversion using multicomponent seismic data with filtered-out low frequencies: Applied Geophysics, 12(3), 362–377. Huang, Y., and Schuster, G. T., 2012, Multisource least-squares migration of marine streamer and land data with frequency-division encoding: Geophysical Prospecting, 60(4), 663–680. Köhn, D., 2011, Time Domain 2D Elastic Full Waveform Tomography: PhD thesis, Kiel University. Krebs, J. R., Anderson, J. E., Hinkley, D., et al., 2009, Fast full-wavefield seismic inversion using encoded sources: Geophysics, 74(6), WCC177–WCC188. Li, C., Huang, J. P., Li, Z. C., et al., 2017, Preconditioned prestack plane-wave least squares reverse time migration with singular spectrum constraint: Applied Geophysics, 14(1), 73–86. Li, D., and Harris, J. M., 2018, Full Waveform Inversion with Nonlocal Similarity and Gradient Domain Adaptive Sparsity-Promoting Regularization: arXiv preprint arXiv,1803, 11391. Li, Q. Y., Huang, J.P., Li, Z.C., et al., 2016b, Multi-source least-squares reverse time migration based on first-order velocity-stress wave equation: Chinese Journal of Geophysics, 59(12), 4666–4676. Li, X., and Herrmann, F., 2010, Full waveform inversion from compressively recovered model updates: 81st SEG Annual Meeting, Expanded Abstracts, 29(1), 1029–1033. Li, X., Esser, E., and Herrmann, F. J., 2016a, Modified Gauss-Newton full-waveform inversion explained—Why sparsity-promoting updates do matter: Geophysics, 81(3), R125–R138. Mora, P., 1987, Nonlinear two-dimensional elastic inversion of multi-offset seismic data: Geophysics, 52, 1211–1228. Patri, Y., Rezaifar, R., and Krishnaprasad, P., 1993, Orthogonal matching pursuit, recursive function approximation with applications to wavelet decomposition: Conference Record of The Twenty-Seventh Asilomar Conference on Signals, Systems and computers, 1993(1), 40–44. Plessix, R. E., and Cao, Q., 2011, A parametrization study for surface seismic full waveform inversion in an acoustic vertical transversely isotropic medium: Geophysical Journal International, 185(1), 539–556. Pratt, R., Shin, C., and Hicks, G., 1998, Gauss-Newton and full Newton methods in frequency-space seismic waveform inversion: Geophysical Journal International, 13, 341–362. Romero, L. A., Ghiglia, D. C., Ober, C. C., et al., 1999, Phase encoding of shot records in prestack migration: Geophysics, 65(2), 426–436. Shin, C., Young, H. C., 2008, Waveform inversion in the Laplace domain: Geophysical Journal International, 173(3), 922–931. Shin, C., Cha, Y. H., 2009, Waveform inversion in the Laplace-Fourier domain: Geophysical Journal International, 177(3), 1067–1079. Tarantola, A., 1984, Inversion of seismic reflection data in the acoustic approximation: Geophysics, 49, 1259–1266. Tape, C., Liu, Q., Maggi, A., et al., 2009, Adjoint tomography of the Southern California crust: Science, 325, 988–992. Tristan, V. L., and Herrmann, F., 2013, Fast waveform inversion without source-encoding: Geophysical Prospecting, 61(s1), 10–19. Vigh, D., Starr, E. W., and Kapoor, J., 2009, Developing earth models with full waveform inversion: The Leading Edge, 28(4), 432–435. Virieux, J., 1986, P-SV wave propagation in heterogeneous media: Velocity-stress finite-difference method: Geophysics, 51(4), 889–901. Virieux, J., and Operto, S., 2009, An overview of full-waveform inversion in exploration geophysics: Geophysics, 74(6), WCC1–WCC26. Wang, H., Singh, S. C., Audebert, F., et al., 2015, Inversion of seismic refraction and reflection data for building long-wave length velocity models: Geophysics, 80(2), R81–R93. Xue, Z., Zhu, H., and Fomel, S., 2017, Full-waveform inversion using seislet regularization: Geophysics, 82(5), A43–A49. Yin, W., Osher, S., Goldfarb D., et al., 2008, Bregman iterative algorithms for l1-minimization with applications to compressed sensing: SIAM Journal on Imaging Sciences, 1, 143–168. Yuan, S., Wang, S., Luo, C., et al., 2015, Simultaneous multitrace impedance inversion with transformdomain sparsity promotion: Geophysics, 80(2), R71–R80. Yuan, S., Wang, S., Luo, Y., et al., 2019, Impedance inversion by using the low-frequency full-waveform I inversion result as an a priori model: Geophysics, 84(2), R149–R164. Zhan, Z., Li, Q., and Huang, J., 2018, Application of wavefield compressive sensing in surface wave tomography: Geophysical Journal International, 213(3), 1731–1743. Zhu, L., Liu, E., and Mcclellan, J. H., 2017, Sparse-promoting Full Waveform Inversion based on Online Orthonormal Dictionary Learning: Physics, 82(2), R87–R107.