Multiscale full-waveform inversion based on shot subsampling
Shi Cai-Wang1,2,3 and He Bing-Shou1,2,3
1. Ocean University of China, Qingdao 266100, China.
2. Evaluation and Detection Technology Laboratory of Marine Mineral Resources, Qingdao National Laboratory for Marine Science and Technology, Qingdao 266071, China.
3. Key Lab of Submarine Geosciences and Prospecting Techniques, Ministry of Education, Qingdao 266100, China.
Abstract Conventional full-waveform inversion is computationally intensive because it considers all shots in each iteration. To tackle this, we establish the number of shots needed and propose multiscale inversion in the frequency domain while using only the shots that are positively correlated with frequency. When using low-frequency data, the method considers only a small number of shots and raw data. More shots are used with increasing frequency. The random-in-group subsampling method is used to rotate the shots between iterations and avoid the loss of shot information. By reducing the number of shots in the inversion, we decrease the computational cost. There is no crosstalk between shots, no noise addition, and no observational limits. Numerical modeling suggests that the proposed method reduces the computing time, is more robust to noise, and produces better velocity models when using data with noise.
The research was financially supported by the Fundamental Research Funds for the Central Universities (No. 201822011), the National Natural Science Foundation of China (No. 41674118) and the National Science and Technology Major Project (No. 2016ZX05027002).
Cite this article:
. Multiscale full-waveform inversion based on shot subsampling[J]. APPLIED GEOPHYSICS, 2018, 15(2): 261-270.
Ben-Hadj-Ali, H., Operto, S., and Virieux, J., 2011, An efficient frequency-domain full waveform inversion method using simultaneous encoded sources: Geophysics, 76(76), R109−R124.
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.
Choi, Y., and Alkhalifah, T., 2012, Application of multi-source waveform inversion to marine streamer data using the global correlation norm: Geophysical Prospecting, 60(4),748-758.
Díaz, E., and Guitton, A., 2011, Fast full waveform inversion with random shot decimation: 81st Annual International Meeting, SEG, Expanded Abstracts, 2804−2808.
Ha, W., and Shin, C., 2013, Efficient Laplace-domain full waveform inversion using a cyclic shot subsampling method: Geophysics, 78(2), R37−R46.
Han, M., Han, L. G., Liu, C. C., et al., 2013, Frequency-domain auto-adapting full waveform inversion with blended source and frequency-group encoding: Applied Geophysics, 10(1), 41-52.
Jo, C. H., Suh, J. H., and Shin, C., 1996, An optimal 9-point, finite-difference, frequency-space, 2-D scalar wave extrapolator: Geophysics, 61(2), 529−537.
Krebs, J. R., Anderson J. E., Hinkley D., et al., 2009, Fast full-wavefield seismic inversion using encoded sources: Geophysics, 74(6), WCC177−WCC188.
Liu, C., Han, M., Han, L., et al., 2012, Application of principal component analysis for frequency-domain full waveform inversion: 82nd Annual International Meeting, SEG, Expanded Abstracts, 1−5.
Liu, L., Liu, H., Zhang, H., et al., 2013, Full waveform inversion based on modified quasi-Newton equation: Chinese Journal of Geophysics, 56(4), 465−470.
Mao, J., Wu, R. S., and Wang, B., 2012, Multiscale full waveform inversion using GPU: 82nd Annual International Meeting, SEG, Expanded Abstracts, 2012, 1−7.
Miao, Y. K., 2015, Full waveform inversion in time domain based on limited-memory BFGS algorithm: Oil Geophysical Prospecting (in Chinese), 50(3), 469−474.
Operto, S., Virieux, J., Amestoy, P., et al., 2007, 3-D finite-difference frequency-domain modeling of visco-acoustic wave propagation using a massively parallel direct solver: a feasibility study: Geophysics, 72(5), 195−211.
Plessix, R. E., 2007, A Helmholtz iterative solver for 3D seismic-imaging problems: Geophysics, 72(5), 185-194.
Pratt, R. G., and Worthington, M. H., 1990, Inverse theory applied to multi-source cross-hole tomography. Part 1: acoustic wave-equation method: Geophysical Prospecting, 38(3), 287−310.
Pratt, R. G., Shin, C., and Hick, G. J., 1998, Gauss-Newton and full Newton methods in frequency-space seismic waveform inversion: Geophysical Journal International, 133(2), 341−362.
Pratt, R. G., 1999, Seismic waveform inversion in the frequency domain, Part 1: Theory and verification in a physical scale model: Geophysics, 64(3), 888−901.
Romero, L. A., Ghiglia, D. C., Ober, C. C., et al., 2000, Phase encoding of shot records in prestack migration: Geophysics, 65(2), 426−436.
Sirgue, L., Etgen, J. T., and Albertin, U., 2008, 3D frequency domain waveform inversion using time domain finite difference methods:70th EAGE Annual Meeting, Expanded Abstracts, F022.
Shin, C., Jang, S., and Min, D. J., 2001, Improved amplitude preservation for prestack depth migration by inverse scattering theory:Geophysical Prospecting,49(5), 592-606.
Shin, J., Ha, W., Jun, H., et al., 2014, 3D Laplace-domain full waveform inversion using a single GPU card: Computers & Geosciences, 67(4), 1−13.
Tao, Y., and Sen, M. K., 2012, Frequency-domain full waveform inversion with plane-wave data: Geophysics, 78(1), R13−R23.
Tarantola, A., 1984, Inversion of seismic reflection data in the acoustic approximation: Geophysics, 49(8), 1259−1266.
Virieux, J., and Operto, S., 2009, An overview of full-waveform inversion in exploration geophysics: Geophysics, 74(6), WCC1-WCC26.