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Laplace–Fourier-Domain Full Waveform Inversion of Deep-Sea Seismic Data Acquired with Limited Offsets

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Abstract

Laplace–Fourier-domain full waveform inversion is considered one of the most reliable schemes to alleviate the drawbacks of conventional frequency-domain inversion, such as local minima. Using a damped wavefield, we can reduce the possibility of converging to local minima and produce an accurate long-wavelength velocity model. Then, we can obtain final inversion results using high-frequency components and low damping coefficients. However, the imaging area is limited because this scheme uses a damped wavefield that makes the magnitudes of the gradient and residual small in deep areas. Generally, the imaging depth of Laplace–Fourier-domain full waveform inversion is half the streamer length. Thus, dealing with seismic data in the deep-sea layer is difficult. The deep-sea layer reduces the amplitude of signals and acts as an obstacle for computing an exact gradient image. To reduce the water layer’s effect, we extrapolated the wavefield with a downward continuation and performed refraction tomography. Then, we performed Laplace–Fourier-domain full waveform inversion using the refraction tomography results as an initial model. After obtaining a final velocity model, we verified the inversion results using Kirchhoff migration. We presented common image gathers and a synthetic seismogram of Sumatra field data to prove the reliability of the velocity model obtained by Laplace–Fourier-domain full waveform inversion. Through the test, we concluded that Laplace–Fourier-domain full waveform inversion with refraction tomography of the downward-continued wavefield recovers the subsurface structures located at depth despite a relatively short streamer length compared to the water depth.

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References

  • Ammon, C. J., Ji, C., Thio, H., Robinson, D., Ni, S., Hjorleifsdottir,V., Kanamori, H., Lay, T., Das, S., Helmberger, D., Ichinose, G., Polet, J. and Wald, D. (2005), Rupture process of the 2004 Sumatra-Andaman earthquake, Science 308, 1133–1139.

  • Bishop, T. N., Bube, K. P., Cutler, R. T., Langan, R. T., Love, P. L., Reasnick, J. R., Shuey, R. T., Spindler, D. A., and Wyld, H. W. (1985), Tomographic determination of velocity and depth in laterally varying media, Geophysics 50, 903–923.

  • Chauhan, A. P. S., Singh, S. C., Hanato, N. D., Carton, H., Klingelhoefer, F., Dessa, J. X., Permana, H., White, N. J., Graindorge, D., and the Sumatra OBS Scientific Team, (2009), Seismic imaging of forearc backthrusts at northern Sumatra subduction zone, Geophys. J. Int. 179, 1772–1780.

  • Chiu, S. K. L., Kanasewich, E. R., and Phadke, S. (1986), Three-dimensional determination of structure and velocity by seismic tomography, Geophysics 51, 1559–1571.

  • Claerbout, J. and Green, I., Basic Earth Imaging – Madagascar edition (Stanford Exploration Project, 2009).

  • Clayton, R. and Engquist, B. (1977), Absorbing boundary conditions for acoustic and elastic wave equations, Bull. Seismol. Soc. Am. 67, 1529–1540.

  • Ghosal, D., Singh, S. C., and Martin, J. (2014), Shallow subsurface morphotectonics of the NW Sumatra subduction system using an integrated seismic imaging technique, Geophys. J. Int. 198, 1818–1831.

  • Graves, W. (1996), Simulating seismic wave propagation in 3d elastic media using staggered-grid finite differences, Bull. Seismol. Soc. Am. 86, 1091–1106.

  • Ha, W., and Shin, C. (2012), Proof of the existence of both zero- and low- frequency information in a damped wavefield, Journal of Applied Geophysics, 83, 96–99.

  • Ha, W., W. Chung, and C. Shin, 2012, Pseudo-hessian matrix for the logarithmic objective function in full waveform inversion, J. Appl. Geophys. 21, 201–214.

  • Ha, W., Chung, W., Park, E., and Shin, C. (2012), 2-D acoustic Laplace-domain waveform inversion of marine field data, Geophys. J. Int. 190, 421–428.

  • Ha, W., Pyun, S., Yoo, J., and Shin, C. (2010), Acoustic full waveform inversion of synthetic land and marine data in the Laplace domain, Geophys. Pros. 58, 1033–1047.

  • Kamei, R., Pratt, R. G., and Tsuji, T. (2013), On acoustic waveform tomography of wide-angle OBS data-strategies for pre-conditioning and inversion, Geophys. J. Int. 194, 1250–1280.

  • Koo, N., Shin, C., Min, D., Park, K., and Lee, H. (2011), Source estimation and direct wave reconstruction in Laplace-domain waveform inversion for deep-sea seismic data, Geophys. J. Int. 187, 861–870.

  • Lailly, P., The seismic inverse problem as a sequence of before stack migrations (SIAM, 1983).

  • Marfurt, K. (1984), Accuracy of finite-difference and finite-element modeling of the scalar and elastic wave-equations, Geophysics 49, 533–549.

  • Mora, P. (1987), Nonlinear two-dimensional elastic inversion of multioffset seismic data, Geophysics 52, 1211–1228.

  • Murphy, G. E., and Gray, S. H. (1999), Manual seismic reflection tomography, Geophysics 64, 1546–1552.

  • Pratt, R., and Worthington, M. (1988), The application of diffraction tomography to cross-hole seismic data, Geophysics 53, 1284–1294.

  • Pratt, R., Shin, C., and Hicks, G. (1998), Gauss-newton and full newton methods in frequency-space seismic waveform inversion, Geophys. J. Int. 133, 341–362.

  • Prawirodirdjo, L., Bock, Y., Genrich, J. F., Puntodewo, S., Rais, J., Subarya, C., and Sutisna, S. (2000), One century of tectonic deformation along the Sumatran faults from triangulation and Global Positioning System surveys, J. Geophys. Res. 105, 28343–28361.

  • Raynolds, A. C. (1978). Boundary conditions for the numerical solution of wave propagation problems, Geophysics 43, 1099–1110.

  • Rhie, J., Dreger, D., Burgmann, R., and Romanowicz, B. (2007), Slip of the 2004 Sumatra-Andaman earthquake from joint inversion of long-period global seismic waveforms and GPS static offsets, Bull. Seismol. Soc. Am. 97, S115–S127.

  • Sibuet J.-C., Rangin, C., Le, P., Singh, S., Cattaneo, A., Graindorge, D., Klingelhoefer, F., Lin, J.-Y., Malod, J.-A., Maury, R., Schneider, J., Sultan, N., Umber, M., and Yamaguchi, H. (2007), 26th December 2004 great Sumatra-Andaman earthquake – seismogenic zone and active splay faults, Earth Planet. Sci. Lett. 263, 88–103.

  • Singh, S. C., Chauhan, A., Calvert, A. J., Hananto, N. D., Ghosal, D., Rai, A., and Carton, H. (2012), Seismic evidence of bending and unbending of subducting oceanic crust and the presence of mantle megathrust in the 2004 Great Sumatra earthquake rupture zone, Earth Planet. Sci. Lett. 321, 166–176.

  • Singh, S. C., Carton, H., Tapponnier, P., Hananto, N. D., Chauhan, A. P. S., Hartoyo, D., Bayly, M., Moeljopranoto, S., Bunting, T., Christie, P., Lubis, H., and Martin, J. (2008), Seismic evidence for broken oceanic crust in the 2004 Sumatra earthquake epicentral region, Nat. Geosci. 11, 777–781.

  • Shin, C., Min, D., Marfurt, K., Lim, H., Yang, D., Cha, Y., Ko, S., Yoon, K., Ha, T., and Hong, S. (2002), Traveltime and amplitude calculations using the damped wave solution, Geophysics 67, 1637–1647.

  • Shin, C., and Cha, Y. (2008), Waveform inversion in the Laplace domain, Geophys. J. Int. 173, 922–931.

  • Shin, C., and Cha, Y. (2009), Waveform inversion in the Laplace-Fourier domain, Geophys. J. Int. 177, 1067–1079.

  • Shin, C., and Ha, W. (2008), A comparison between the behavior of objective functions for waveform inversion in the frequency and Laplace domains, Geophysics 73, VE119–VE133.

  • Shin, C., Koo, N., Cha, Y., and Park, K. (2010), Sequentially ordered single-frequency 2d acoustic waveform inversion in the Laplace-Fourier domain, Geophys. J. Int. 181, 935–950.

  • Shin, C., and Min., D. (2006), Waveform inversion using a logarithmic wavefield, Geophysics 71, R31–R42.

  • Symes, W., (2008), Migration velocity analysis and waveform inversion, Geophys. Pros. 56, 765–790.

  • Tarantola, A. (1984), Inversion of seismic-reflection data in the acoustic approximation, Geophysics 49, 1259–1266.

  • Virieux, J., and Operto, S. (2009), An overview of full-waveform inversion in exploration geophysics, Geophysics 74, WCC1–WCC26.

  • Versteeg, R. (1994), The Marmousi experience: Velocity model determination on a synthetic complex data set, Leading Edge 13, 927–936.

  • Zhang, J., and Toksoz, M. N. (1998), Nonlinear refraction traveltime tomography, Geophysics 63, 1726–1737.

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Acknowledgments

This research was a part of the project titled ‘The Study of Marine Geology and Geological Structure in the Korean Jurisdictional Seas’, funded by the Ministry of Oceans and Fisheries, Korea, and was supported by the Energy Efficiency and Resources of the Korea Institute of Energy Technology Evaluation and Planning (KETEP) grant funded by the Korea government Ministry of Trade, Industry and Energy (No. 20132010201760). Also, we would like to extend our gratitude to Total oil company for providing a Sumatra seismic dataset to Seoul National University.

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Correspondence to Eunjin Park.

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Cho, Y., Ha, W., Kim, Y. et al. Laplace–Fourier-Domain Full Waveform Inversion of Deep-Sea Seismic Data Acquired with Limited Offsets. Pure Appl. Geophys. 173, 749–773 (2016). https://doi.org/10.1007/s00024-015-1125-7

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  • DOI: https://doi.org/10.1007/s00024-015-1125-7

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