Abstract
Full waveform inversion (FWI) is one of the most challenging procedures to obtain quantitative information of the subsurface. For elastic inversions, when both compressional and shear velocities have to be inverted, the algorithmic issue becomes also a computational challenge due to the high cost related to modelling elastic rather than acoustic waves. This shortcoming has been moderately mitigated by using high-performance computing to accelerate 3D elastic FWI kernels. Nevertheless, there is room in the FWI workflows for obtaining large speedups at the cost of proper grid pre-processing and data decimation techniques. In the present work, we show how by making full use of frequency-adapted grids, composite shot lists and a novel dynamic offset control strategy, we can reduce by several orders of magnitude the compute time while improving the convergence of the method in the studied cases, regardless of the forward and adjoint compute kernels used.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Aminzadeh, F., Brac, J., Kunz, T.: 3-D salt and overthrust models: SEG/EAGE 3-D modeling series 1. SEG (1997)
Bekakos, M.P., Michail, H., Bowring, N., Michailidis, P.D., Cao, J., Milovanović, E.I., et al.: Supercomputing Research Advances. Nova Science Publishers, Inc (2008)
Ben-Hadj-Ali, H., Operto, S., Virieux, J.: An efficient frequency-domain full waveform inversion method using simultaneous encoded sources. Geophysics 76, R109–R124 (2011)
Boonyasiriwat, C., Schuster, G.T., Valasek, P., Cao, W.: Applications of multiscale waveform inversion to marine data using a flooding technique and dynamic early-arrival windows. Geophysics 75, R129–R136 (2010a)
Boonyasiriwat, C., Zhan, G., Hadwiger, M., Srinivasan, M., Schuster, G.: Multisource reverse-time migration and full-waveform inversion on a gpgpu. In: 72nd EAGE Conference & Exhibition (2010b)
Borisov, D., Singh, S.: An efficiennt 3d elastic full waveform inversion of time-lapse seismic data using grid injection method, pp 954–958. SEG Technical Program Expanded Abstracts (2013)
Brossier, R., Operto, S., Virieux, J.: Seismic imaging of complex onshore structures by 2D elastic frequency-domain full-waveform inversion. Geophysics 74, WCC105–WCC118 (2009)
Brossier, R., Operto, S., Virieux, J.: Which data residual norm for robust elastic frequency-domain fullwaveform inversion. Geophysics 75, R37–R46 (2010)
Bunks, C., Saleck, F.M., Zaleski, S., Chavent, G.: Multiscale seismic waveform inversion. Geophysics 60, 1457–1473 (1995)
Butzer, S., Kurzmann, A., Bohlen, T.: 3D elastic full-waveform inversion of small-scale heterogeneities in transmission geometry. Geophys. Prospect. 61, 1238–1251 (2013)
Caballero, D., Farres, A., Duran, A., Hanzich, M., Fernandez, S., Martorell, X.: Optimizing fully anisotropic elastic propagation on intel xeon phi coprocessors. In: Second EAGE Workshop on High Performance Computing for Upstream, EAGE (2015)
Causse, E., Mittet, R., Ursin, B.: Preconditioning of full-waveform inversion in viscoacoustic media. Geophysics 64, 130–145 (1999)
Etienne, V., Tonellot, T., Thierry, P., Berthoumieux, V., Andreolli, C.: Speeding-up FWI by one order of magnitude. In: EAGE Workshop on High Performance Computing for Upstream, EAGE (2014)
Fichtner, A.: Full Seismic Waveform Modelling and Inversion. Springer Science & Business Media (2010)
Fichtner, A., Bunge, H.P., Igel, H.: The adjoint method in seismology 2. Applications : traveltimes and sensitivity functionals. Theory. Phys. Earth. Planet. Int. 157, 86–104 (2006)
Fichtner, A., Kennet, B.N.L., Bunge, H.P., Igel, H.: Theoretical background for continental- and global-scale full-waveform inversion in the time-frequency domain. Geophys. J. Int. 175, 665–685 (2008)
Fichtner, A., Kennet, B.N.L., Igel, H., Bunge, H.P.: Full waveform tomography for radially anisotropic structure: new insights into present and past states of the Australasian upper mantle. Earth. Planet. Sci. Lett. 290, 270–280 (2010)
Guasch, L., Warner, M., Nangoo, T., Morgan, J., Umpleby, A., Stekl, I., Shah, N.: Elastic 3d full-waveform inversion, 1–5 (2012). doi:10.1190/segam2012-1239.1
Guitton, A., Symes, W.: Robust inversion of seismic data using the Huber norm. Geophysics 68, 1310–1319 (2003)
Guitton, A., Gboyega, A., Diaz, E.: Constrained full-waveform inversion by model reparameterization. Geophysics 77, R117–R127 (2012)
Haberdar, H., Siddiqui, S., Feki, S.: Automatic performance tuning of parallel and accelerated seismic imaging kernels. In: EAGE Workshop on High Performance Computing for Upstream, EAGE (2014)
Hanzich, M., Rodriguez, J., Gutierrez, N., de la Puente, J., Cela, J.: Using HPC software frameworks for developing BSIT: a geophysical imaging tool. In: Proceedings of WCCM XI, ECCM V, ECFD VI III, pp 2019–2030 (2014)
Hanzich, M., Rubio, F., Farrès, A.: Optimizing an elastic wave propagation by means of a roofline-based strategy on xeon processors. In: Enabling Software and Hardware Techologies Towards Exascale, 13th US National Congress on Computational Mechanics, San Diego (USA) (2015)
Jiménez Tejero, C., Dagnino, D., Sallarés, V., Ranero, C.: Comparative study of objective functions to overcome noise and bandwidth limitations in full waveform inversion. Geophys. J. Int. 203, 632–645 (2015)
Kormann, J., Rodriguez, J.E., Gutierrez, N., de la Puente, J., Hanzich, M., Cela, J.: Using power-model based preconditioners for 3D acoustic full waveform inversion. SEG Technical Program Expanded Abstracts, 1105–1109 (2013)
Krebs, J.R., Anderson, J.E., Hinkley, D., Neelamani, R., Lee, S., Baumstein, A., Lacasse, M.D.: Fast full-wavefield seismic inversion using encoded sources. Geophysics 74(6), WCC177–WCC188 (2009)
van Leeuwen, T., Herrmann, F.: 3D frequency-domain inversion with controlled sloppiness. J. Sci. Comput. 36(5), S192–S217 (2014). doi:10.1137/130918629
Levander, A.R.: Fourth-order finite difference P-SV seismograms. Geophysics 53, 1425–1436 (1988)
Mora, P.: Nonlinear two dimensional elastic inversion of multioffset seismic data. Geophysics 52, 1211–1228 (1987). doi:10.1190/1.1442384
Operto, S., Virieux, J., Amestoy, P., L Excellent, J.Y., Giraud, L., Ali, H.B.H.: 3D finite-difference frequency-domain modeling of visco-acoustic wave propagation using a massively parallel direct solver: a feasibility study. Geophysics 72(5), SM195–SM211 (2007)
Plessix, R.E.: A review of the adjoint-state method for computing the gradient of a functional with geophysical applications. Geophys. J. Int. 167, 495–503 (2006)
Pratt, R.G.: Seismic waveform inversion in the frequency domain, part 1: theory and verification in a physical scale model. Geophysics 64, 888–901 (1999). doi:10.1190/1.1444597
de la Puente, J., Ferrer, M., Hanzich, M., Castillo, J.E., Cela, J.M.: Mimetic seismic wave modeling including topography on deformed staggered grids. Geophysics 79(3), T125–T141 (2014)
Raknes, E.B., Arntsen, B., Weibull, W.: Three-dimensional elastic full waveform inversion using seismic data from the Sleipner area. Geophys. J. Int. 202, 1877–1894 (2015)
Ravaut, C., Operto, S., Improta, L., Virieux, J., Herrero, A., Dell’Aversana, P.: Multi-scale imaging of complex structures from multi-fold wide- aperture seismic data by frequency-domain full-wavefield inversions: application to a thrust belt. Geophys. J. Int. 159, 1032–1056 (2004)
Riyanti, C., Kononov, A., Erlangga, Y.A., Vuik, C., Oosterlee, C.W., Plessix, R.E., Mulder, W.A.: A parallel multigrid-based preconditioner for the 3d heterogeneous high-frequency Helmholtz equation. J. Comput. Phys. 224(1), 431–448 (2007)
Rodriguez, J.E., Hanzich, M., de la Puente, J., Kormann, J., Gutierrez, N., Puzyrev, V., Cela, J.M.: Towards an efficient and reliable HPC software platform for 3D geophysical inversion. In: ICE Barcelona - AAPG/SEG International Conference & Exhibition, AAPG/SEG, Barcelona (Spain) (2015)
Roy, I.G., Sen, M.K., Torres-Verdin, C.: Full waveform seismic inversion using a distributed system of computers. Concurrency and Computation: Practice and Experience 17(11), 1365–1385 (2005). doi:10.1002/cpe.897
Rubio, F., Hanzich, M., Farrés, A., de la Puente, J., María Cela, J.: Finite-difference staggered grids in GPUs for anisotropic elastic wave propagation simulation. Comput. Geosci. 70, 181–189 (2014). doi:10.1016/j.cageo.2014.06.003
Sirgue, L., Pratt, R.G.: Efficient waveform inversion and imaging: a strategy for selecting temporal frequencies. Geophysics 69, 231–248 (2004)
Sochacki, J., Kubichek, R., George, J., Fletcher, W., Smithson, S.: Absorbing boundary conditions and surface waves. Geophysics 52(1), 17–48 (1987). doi:10.1190/1.1442241
Son, W., Pyun, S., Shin, C., Kim, H.J.: Laplace-domain wave-equation modeling and full waveform inversion in 3d isotropic elastic media. J. Appl. Geophys. 105, 120–132 (2014). doi:10.1016/j.jappgeo.2014.03.013
Tape, C., Liu, Q., Maggi, A., Tromp, J.: Seismic tomography of the southern California crust based on spectral-element and adjoint methods. Geophys. J. Int. 180, 433–462 (2010). doi:10.1111/j.1365-246X.2009.04429.x
Tarantola, A.: Inversion of seismic reflection data in the acoustic approximation. Geophysics 8, 1259–1266 (1984)
Tarantola, A.: Inversion problem theory and methods for model parameters estimation, sIAM edn (1986)
Vigh, D., Jiao, K., Watts, D., Sun, D.: Elastic full-waveform inversion application using multicomponent measurements of seismic data collection. Geophysics 79(2), R63–R77 (2014)
Virieux, J.: P-SV wave propagation in heterogeneous media: velocity-stress finite-difference method. Geophysics 51, 889–901 (1986)
Virieux, J., Operto, S.: An overview of full-waveform inversion in exploration geophysics. Geophysics 74, WCC127–WCC152 (2009)
Warner, M., Ratcliffe, A., Nangoo, T., Morgan, J., Umpleby, A., Shah, N., Vinje, V., tekl, I., Guasch, L., Win, C., Conroy, G., Bertrand, A.: Anisotropic 3D full-waveform inversion. Geophysics 78, R59–R80 (2013)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Kormann, J., Rodríguez, J.E., Ferrer, M. et al. Acceleration strategies for elastic full waveform inversion workflows in 2D and 3D. Comput Geosci 21, 31–45 (2017). https://doi.org/10.1007/s10596-016-9593-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10596-016-9593-0