Skip to main content
Log in

Extraction of P- and S-wave angle-domain common-image gathers based on first-order velocity-dilatation-rotation equations

  • Seismic imaging
  • Published:
Applied Geophysics Aims and scope Submit manuscript

Abstract

Accuracy of angle-domain common-image gathers (ADCIGs) is the key to multi-wave AVA inversion and migration velocity analysis, and of which Poynting vectors of pure P- and S-wave are the decisive factors in obtaining multi-component seismic data ADCIGs. A Poynting vector can be obtained from conventional velocity-stress elastic wave equations, but it focused on the propagation direction of mixed P- and S-wave fields, and neither on the propagation direction of the P-wave nor the direction of the S-wave. The Poynting vectors of pure P- or pure S-wave can be calculated from first-order velocity-dilatation-rotation equations. This study presents a method of extracting ADCIGs based on first order velocity-dilatation-rotation elastic wave equations reverse-time migration algorithm. The method is as follows: calculating the pure P-wave Poynting vector of source and receiver wavefields by multiplication of P-wave particle-velocity vector and dilatation scalar, calculating the pure S-wave Poynting vector by vector multiplying S-wave particle-velocity vector and rotation vector, selecting the Poynting vector at the time of maximum P-wave energy of source wavefield as the propagation direction of incident P-wave, and obtaining the reflected P-wave (or converted S-wave) propagation direction of the receiver wavefield by the Poynting vector at the time of maximum P-(S-) wave energy in each grid point. Then, the P-wave incident angle is computed by the two propagation directions. Thus, the P- and S-wave ADGICs can obtained Numerical tests show that the proposed method can accurately compute the propagation direction and incident angle of the source and receiver wavefields, thereby achieving high-precision extraction of P- and S-wave ADGICs.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Aki, K., and Richards, P. G., 1980, Quantitative seismology, theory, and methods: W. H. Freeman and Co.

  • Biondi, B., and Symes, W. W., 2004, Angle-domain common-image gathers for migration velocity analysis by wavefield-continuation imaging: Geophysics, 69(5), 1283–1298.

    Article  Google Scholar 

  • Cerveny’, V., 2001, Seismic ray theory: Cambridge University Press, USA, 17–18.

    Book  Google Scholar 

  • Dickens, A., and Winbow, G. A., 2011, RTM angle gathers using Poynting vectors: 81st Annual International Meeting, SEG, Expanded Abstracts, 3109–3113.

  • Du, Q. Z., Li, F., Hou, B., et al., 2011, Angle-domain migration velocity analysis based on elastic-wave Kirchhoff prestack depth migration: Chinese Journal of Geophysics (in Chinese), 54(5), 1327–1339.

    Google Scholar 

  • Du, Q. Z., Zhu Y. T., Jing, B., 2012, Polarity reversal correction for elastic reverse time migration: Geophysics, 77(2), S31–S41.

    Article  Google Scholar 

  • Du, Q. Z., Guo C. F., Zhao, Q., et al., 2017, Vector-based elastic reverse time migration based on scalar imaging condition: Geophysics, 82(2), S111–S127.

    Article  Google Scholar 

  • Duan, Y. T., and Sava, P., 2015, Scalar imaging condition for elastic reverse time migration: Geophysics, 80(4), S127–S136.

    Article  Google Scholar 

  • He, B. S., Mou, H. B., and Hu, N., 2016, P- and S-wave angle-domain common-image gathers (ADCIGs) based on elastic-wave reverse-time migration: Geological Journal, 51(S1), 669–679.

    Google Scholar 

  • Li, Z. C., Yao, Y. X., Ma, Z. T., et al., 2003, Common imaging point gather migration velocity modeling based on wave equation: Chinese Journal of Geophysics, 46(1), 86–93.

    Article  Google Scholar 

  • Li, H. Q., Yang, G. Q., Li, Z. C., et al., A method for extracting angle-domain common-image gathers based on local plane wave decomposition: OGP (in Chinese), 52(6), 1177–1183

  • Li, K. R., He, B. S., Hu, N., 2018, Multicomponent joint reverse time migration based on first order velocity-ilatation-rotation equations: Journal of China Coal Society, 43(4), 1072–1082.

    Google Scholar 

  • Liu, S. W., Wang, H. Z., Cheng, J. B., et al., 2008, Space-time-shift imaging condition and migration velocity analysis: Chinese Journal of Geophysics, 51(6), 1883–1891.

    Google Scholar 

  • Liu, S. W., Cheng, J. B., Wang, H. Z., et al., 2007, Relationships between offset domain/angle domain image gathers and migration velocity: Earth Science-Journal of China University of Geosciences, 32(4), 575–582.

    Google Scholar 

  • Liu, J. C., Xie, X. B., and Chen, Bo., 2017, Reversetime migration and amplitude correction in the angle-domain based on Poynting vector: Applied Geophysics, 14(4), 505–516.

    Article  Google Scholar 

  • Ma, D. T., and Zhu, G. M., 2003, Numerical modeling of P-wave and S-wave separation in elastic wavefield: Oil Geophysical Prospecting, 38(5), 482–486.

    Google Scholar 

  • Sava, P., and Fomel, S., 2006a, Time-shift imaging condition in seismic migration: Geophysics, 71(6), S209–S217.

    Article  Google Scholar 

  • Sava, P., and Fomel, S., 2006b, Time-shift imaging condition for converted waves: 76th Annual International Meeting, SEG, Expanded Abstracts, 2460–2464.

  • Sava, P., and Fomel, S., 2005a, Wave-equation common-angle gathers for converted waves: 75th Annual International Meeting, SEG, Expanded Abstracts, 947–950.

  • Sava, P., and Fomel, S., 2005b, Coordinate-independent angle-gathers for wave equation migration: 75th Annual International Meeting, SEG, Expanded Abstracts, 2052–2055.

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

    Article  Google Scholar 

  • Tang, H. G., He, B. S., and Mou, H. B., 2016, P- and S-wave energy flux density vectors: Geophysics, 81(6), T357–368.

    Article  Google Scholar 

  • Vyas, M., Nichols, D., and Mobley, E., 2011, Efficient RTM angle gathers using source directions: 81st Annual International Meeting, SEG, Expanded Abstracts, 3104–3108.

  • Wang, B. L., Gao, J. H., Chen, W. C., et al., 2013, Extracting efficiently angle gathers using Poynting vector during reverse time migration: Chinese Journal of Geophysics (in Chinese), 56(1), 262–268.

    Google Scholar 

  • Xie, X., and Yang, H., 2008, A full-wave equation based seismic illumination analysis method: 70th Ann. Internat. Conference and Exhibition, EAGE, Extended Abstracts, 284–288.

  • Xie, X., and Wu, R. S., 2002, Extracting angle domain information from migrated wavefields: 72nd Annual International Meeting, SEG, Expanded Abstracts, 1360–1363.

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

    Article  Google Scholar 

  • Xu, S., Zhang, Y., and Lambaré, G., 2010, Antileakage Fourier transform for seismic data regularization in higher dimension: Geophysics, 75(6), WB113–WB120.

    Article  Google Scholar 

  • Xu, S., Chauris, H., Lambaré, G., et al., 2001, Common-angle migration: A strategy for imaging complex media: Geophysics, 66(6), 1877–1894.

    Article  Google Scholar 

  • Yan, R., and Xie, X., 2012, An angle-domain imaging condition for elastic reverse time migration and its application to angle gather extraction: Geophysics, 77(5), S105–S115.

    Article  Google Scholar 

  • Yan, R., and Xie, X., 2011, Angle gather extraction for acoustic and isotropic elastic RTM: 81st Annual International Meeting, SEG, Expanded Abstracts, 3141–3146.

  • Yang, J. J., Luan, X. W., He, B. S., et al., 2017, Extraction of amplitude-preserving angle gathers based on vector wavefield reverse-time migration: Applied Geophysics, 14(4), 492–504.

    Article  Google Scholar 

  • Yoon, K., Guo, M., Cai, J., et al., 2011, 3D RTM angle gathers from source wave propagation direction and dip of reflector: 81st Annual International Meeting, SEG, Expanded Abstracts, 3136–3140.

  • Yoon, K., and Marfurt, K. J., 2006, Reverse-time migration using the Poynting vector: Exploration Geophysics, 37(1), 102–107.

    Article  Google Scholar 

  • Zhang, Q., and McMechan, G. A., 2011a, Common-image gathers in the incident phase-angle domain from reverse time migration in 2D elastic VTI media: Geophysics, 76(6), S197–S206.

    Article  Google Scholar 

  • Zhang, Q., and McMechan, G. A., 2011b, Direct vector-field method to obtain angle-domain common image gathers from isotropic acoustic and elastic reverse-time migration: Geophysics, 76(5), WB135–WB149.

    Article  Google Scholar 

  • Zhang, K., Li, Z. C., Zeng, T. S., et al., 2010, Residual curvature migration velocity analysis for angle domain common imaging gathers: Applied Geophysics, 7(1), 49–56.

    Article  Google Scholar 

  • Zhang, Y., and Sun, J., 2009, Practical issues in reverse time migration: true amplitude gathers, noise removal and harmonic source encoding: First Break, 26, 29–35.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Bing-Shout He.

Additional information

The research was financially supported by the Fundamental Research Funds for the Central Universities (No. 201822011), the National Key R&D Program of China (No. 2018YFC1405900), the National Natural Science Foundation of China (Nos. 41674118 and 41574105) and the National Science and Technology Major Project (No.2016ZX05027002).

Li Kai-Rui received his B.S in Geo-information Science and Technology in 2016 from the Ocean University of China. He is currently enrolled in the M.S. program in Geodetection and Information Technology in the same institute. His research interests is multi-component reverse time migration.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, KR., He, BS. Extraction of P- and S-wave angle-domain common-image gathers based on first-order velocity-dilatation-rotation equations. Appl. Geophys. 17, 92–102 (2020). https://doi.org/10.1007/s11770-019-0799-5

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11770-019-0799-5

Keywords

Navigation