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Reverse-time migration and amplitude correction in the angle-domain based on Poynting vector

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Abstract

We propose a method based on the Poynting vector that combines angle-domain imaging and image amplitude correction to overcome the shortcomings of reverse-time migration that cannot handle different angles during wave propagation. First, the local image matrix (LIM) and local illumination matrix are constructed, and the wavefield propagation directions are decomposed. The angle-domain imaging conditions are established in the local imaging matrix to remove low-wavenumber artifacts. Next, the angle-domain common image gathers are extracted and the dip angle is calculated, and the amplitude-corrected factors in the dip angle domain are calculated. The partial images are corrected by factors corresponding to the different angles and then are superimposed to perform the amplitude correction of the final image. Angle-domain imaging based on the Poynting vector improves the computation efficiency compared with local plane-wave decomposition. Finally, numerical simulations based on the SEG/EAGE velocity model are used to validate the proposed method.

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References

  • Bear, G., Lu, C., Lu, R., et al., 2000, The construction of subsurface illumination and amplitude maps via ray tracing:The Leading Edge, 19(7), 726–728.

    Google Scholar 

  • Cao, J., and Wu, R. S., 2009, Full-wave directional illumination analysis in the frequency domain: Geophysics, 74(4), S85–S93.

    Google Scholar 

  • Chen, T., and He, B. S., 2014, A normalized wavefield separation cross-correlation imaging condition for reverse time migration based on Poynting vector: Applied Geophysics, 11(2), 158–166.

    Google Scholar 

  • Díaz, E., and Sava, P., 2015, Understanding the reverse time migration backscattering: noise or signal?: Geophysical Prospecting, 64(3), 581–594.

    Google Scholar 

  • Du, X., Fletcher, R., Mobley, E., et al., 2012, Source and receiver illumination compensation for reverse-time migration: 74th Annual International Conference and Exhibition, EAGE, Extended Abstracts, X046.

    Google Scholar 

  • Gelius, L. J., Lecomte, I., and Tabti, H., 2002, Analysis of the resolution function in seismic prestack depth imaging: Geophysical Prospecting, 50(5), 505–515.

    Google Scholar 

  • Gherasim, M., Albertin, U., Nolte, B., et al., 2012, Waveequation angle-based illumination weighting for optimized subsalt imaging: 82th Ann. Internat. Mtg., Soc. Expl. Geophys. Expanded Abstracts, 3293–3296.

    Google Scholar 

  • Hemon, C., 1978, Equations D’onde et modeles: Geophysical Prospecting, 26(4), 790–821.

    Google Scholar 

  • Hu, J., McMechan, G. A., and Guan, H. M., 2014, Comparison of methods for extracting ADCIGs from RTM: Geophysics, 79(3), 89–103.

    Google Scholar 

  • Jia, X. F., and Wu, R. S., 2009, Calculations of wavefield gradients and wave propagation angles in complex media: application to turning wave simulations: Geophysical Journal International, 178(3), 1565–1573.

    Google Scholar 

  • Lecomte, I., 2008, Resolution and illumination analyses in PSDM: A ray-based approach: The Leading Edge, 27(5), 650–663.

    Google Scholar 

  • Muerdter, D., and Ratcliff, D., 2001, Understanding subsalt illumination through ray-trace modeling, Part 1: Simple 2-D salt models: The Leading Edge, 20(6), 578–594.

    Google Scholar 

  • Poynting, J. H., 1884, On the transfer of energy in the electromagnetic field: Philosophical Transactions of the Royal Society of London, 175, 343–361.

    Google Scholar 

  • Sava, P., and Fomel, S., 2003, Angle-domain common image gathers by wavefield continuation methods: Geophysics, 68(3), 1065–1074.

    Google Scholar 

  • Sava, P., and Fomel, S., 2005a, Coordinate-independent angle-gathers for wave equation migration: 75th Internat. Mtg., Soc. Expl. Geophys. Expanded Abstracts, 2052–2055.

    Google Scholar 

  • Sava, P., and Fomel, S., 2005b, Time-shift imaging condition:75th Internat. Mtg., Soc. Expl. Geophys. Expanded Abstracts, 1850–1853.

    Google Scholar 

  • Sava, P., and Fomel, S., 2005c, Wave-equation common angle gathers for converted waves: 75th Internat. Mtg., Soc. Expl. Geophys. Expanded Abstracts, 947–950.

    Google Scholar 

  • Sava, P., and Vasconcelos, I., 2011, Extended imaging conditions for wave equation migration: Geophysical Prospecting, 59(1), 35–55.

    Google Scholar 

  • Schneider, W. A., and Winbow, G.A., 1999, Efficient and accurate modeling of 3-D seismic illumination: 69th Internat. Mtg., Soc. Expl. Geophys. Expanded Abstracts, 633–636.

    Google Scholar 

  • Thomas, A. D., and Graham, Q. W., 2011, RTM angle gathers using Poynting vectors: 81th Internat. Mtg., Soc. Expl. Geophys. Expanded Abstracts, 3109–3113.

    Google Scholar 

  • Wang, B. L., Gao, J. H., and Chen, W. C., et al., 2013, Extracting Efficiently Angle Gathers Using Poynting Vector During Reverse Time Migration: Chinese Journal of Geophysics, 56(1), 262–268.

    Google Scholar 

  • Wang, M. X., Yang, H., and Osen, A., 2013, Full-wave equation based illumination analysis by NAD method: 75th EAGE Conference & Exhibition Incorporation, SPE, EUROPEC, 10–13.

    Google Scholar 

  • Wu, R. S., and Chen, L., 2002, Mapping directional illumination and acquisition-aperture efficacy by beamlet propagators: 72th Internat. Mtg., Soc. Expl. Geophys. Expanded Abstracts, 1352–1355.

    Google Scholar 

  • Wu, R. S., Chen, L., and Xie, X. B., 2003, Directional illumination and acquisition dip-response: 65th Conference and Technical Exhibition, EAGE, Expanded abstracts, 1–4.

    Google Scholar 

  • Wu, R. S., and Luo, M. Q., 2005, Comparison of different schemes of image amplitude correction in pre-stack depth migration: 75th Internat. Mtg., Soc. Expl. Geophys. Expanded Abstracts, 2060–2063.

    Google Scholar 

  • Wu, R. S., and Chen, L., 2006, Directional illumination analysis using beamlet decomposition and propagation: Geophysics, 71(4), S147–S159.

    Google Scholar 

  • Wu, R. S., Xie, X. B., Fehler, M., et al., 2006, Resolution analysis of seismic imaging: 68th Annual International Conference and Exhibition, EAGE, Extended Abstracts, GO48.

    Google Scholar 

  • Xie, X. B., and Wu, R. S., 2002, Extracting angle domain information from migrated wavefields: 72th Internat. Mtg., Soc. Expl. Geophys. Expanded Abstracts, 1360–1363.

    Google Scholar 

  • Xie, X. B., Jin, S. W., and Wu, R. S., 2003, Threedimensional illumination analysis using wave-equation based propagator: 73th Internat. Mtg., Soc. Expl. Geophys. Expanded Abstracts, 989–992.

    Google Scholar 

  • Xie, X. B., Wu, R. S., Fehler, M., et al., 2005, Seismic resolution and illumination: A wave equation based analysis: 75th Internat. Mtg., Soc. Expl. Geophys. Expanded Abstracts, 1862–1865.

    Google Scholar 

  • Xie, X. B., Jin, S. W., and Wu, R. S., 2006, Wave-equation based seismic illumination analysis: Geophysics, 71(5), S169–S177.

    Google Scholar 

  • Xie, X. B., and Yang, H., 2008, A full-wave equation based seismic illumination analysis methods: 70th Annual International Conference and Exhibition, EAGE, Extended Abstracts, P284.

    Google Scholar 

  • Xie, X. B., He, Y. Q., and Li, P. M., 2013, Seismic Illumination Analysis and Its Applications in Seismic Survey Design: Chinese Journal of Geophysics, 56(5), 1–14.

    Google Scholar 

  • Xu, S., Zhang, Y., and Tang, B., 2011, 3D common image gathers from reverse time migration: Geophysics, 76(2), S77–S92.

    Google Scholar 

  • Yan, R., and Xie, X. B., 2012a, An angle-domain imaging condition for elastic reverse time migration and its application to angle gather extraction: Geophysics, 77(5), 105–115.

    Google Scholar 

  • Yan, R., and Xie, X. B., 2012b, AVA analysis based on RTM angle-domain common image gather: 82th Internat. Mtg., Soc. Expl. Geophys. Expanded Abstracts, 1–6.

    Google Scholar 

  • Yan, R., Guan, H. M., Xie, X. B., et al., 2014, Acquisition aperture correction in the angle domain toward truereflection reverse time migration: Geophysics, 79(6), S241–S250.

    Google Scholar 

  • Yang, H., and Xie, X. B., 2008, Target oriented full-wave equation based illumination analysis: 75th Internat. Mtg., Soc. Expl. Geophys. Expanded Abstracts, 2216–2220.

    Google Scholar 

  • Yoon, K, Marfurt, and Starr, W., 2004, Challenges in reverse-time migration: 74th Internat. Mtg., Soc. Expl. Geophys. Expanded Abstracts, 1057–1060.

    Google Scholar 

  • Yoon, K, Guo, M. H., Cai, J., et al., 2011, 3D RTM angle gathers from source wave propagation direction and dip of reflector: 81th Internat. Mtg., Soc. Expl. Geophys. Expanded Abstracts, 3136–3140.

    Google Scholar 

  • Zhang, Q. S., and McMechan, G. A., 2011a, Commonimage gathers in the incident phase-angle domain from reverse time migration in 2D elastic VTI media: Geophysics, 76(6), 197–206.

    Google Scholar 

  • Zhang, Q. S., and McMechan, G. A., 2011b, Direct vectorfield method to obtain angle-domain common-image gathers from isotropic acoustic and elastic reverse-time migration: Geophysics, 76(5), 135–149.

    Google Scholar 

  • Zhang, Y., Xu, S., Tang, B., et al., 2010, Angle gathers from reverse time migration: The Leading Edge, 29(11), 1364–1371.

    Google Scholar 

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Correspondence to Ji-Cheng Liu.

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This research is sponsored by the Natural Science Fund of Heilongjiang Province (No. F201404).

Liu Ji-Cheng, Ph.D., Professor at the School of Electric and Automation Engineering, Changshu Institute of Technology. His interests are non-stationary signal analysis, seismic imaging, and illumination analysis.

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Liu, JC., Xie, XB. & Chen, B. Reverse-time migration and amplitude correction in the angle-domain based on Poynting vector. Appl. Geophys. 14, 505–516 (2017). https://doi.org/10.1007/s11770-017-0648-3

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  • DOI: https://doi.org/10.1007/s11770-017-0648-3

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