Skip to main content
Log in

Plane-wave least-squares reverse time migration for rugged topography

  • Published:
Journal of Earth Science Aims and scope Submit manuscript

Abstract

We present a method based on least-squares reverse time migration with plane-wave encoding (P-LSRTM) for rugged topography. Instead of modifying the wave field before migration, we modify the plane-wave encoding function and fill constant velocity to the area above rugged topography in the model so that P-LSRTM can be directly performed from rugged surface in the way same to shot domain reverse time migration. In order to improve efficiency and reduce I/O (input/output) cost, the dynamic encoding strategy and hybrid encoding strategy are implemented. Numerical test on SEG rugged topography model show that P-LSRTM can suppress migration artifacts in the migration image, and compensate amplitude in the middle-deep part efficiently. Without data correction, P-LSRTM can produce a satisfying image of near-surface if we could get an accurate near-surface velocity model. Moreover, the pre-stack PLSRTM is more robust than conventional RTM in the presence of migration velocity errors.

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.

Similar content being viewed by others

References Cited

  • Beasley, C., Lynn, W., 1992. The Zero-Velocity Layer: Migration from Irregular Surfaces. Geophysics. 57(11): 1435–1443. doi:10.1190/1.1443211

    Article  Google Scholar 

  • Berryhill, J. R., 1979. Wave-Equation Datuming. Geophysics. 44(8): 1329–1344. doi:10.1190/1.1441010

    Article  Google Scholar 

  • Berryhill, J. R., 1984. Wave-Equation Datuming before Stack. Geophysics. 49(11): 2064–2066. doi:10.1190/1.1441620

    Article  Google Scholar 

  • Berryhill, J. R., 1986. Submarine Canyons: Velocity Replacement by Wave-Equation Datuming before Stack. Geophysics. 51(8): 1572–1579. doi:10.1190/1.1442207

    Article  Google Scholar 

  • Bevc, D., 1997. Flooding the Topography: Wave-Equation Datuming of Land Data with Rugged Acquisition Topography. Geophysics. 62(5): 1558–1569. doi:10.1190/1.1444258

    Article  Google Scholar 

  • Beydoun, W. B., Mendes, M., 1989. Elastic Ray-Born L2-Migration/Inversion. Geophysical Journal International. 97(1): 151–160. doi:10.1111/j.1365-246x.1989.tb00490.x

    Article  Google Scholar 

  • Cheng, J. B., Ma, Z. T., Tao, Z. X., et al., 2006. Imaging Study of Piedmont Complex Structures. Oil Geophysical Prospecting, 41(5): 525–529 (in Chinese with English Abstract)

    Google Scholar 

  • Dai, W., Boonyasiriwat, C., Schuster, G. T., 2010. 3D Multisource Least-Squares Reverse Time Migration. SEG Technical Program Expanded Abstracts. 78. doi:10.1190/1.3513494

    Google Scholar 

  • Dai, W., Wang, X., Schuster, G. T., 2011. Least-Squares Migration of Multisource Data with a Deblurring Filter. Geophysics. 76(5): R135–R146. doi:10.1190/geo2010-0159.1

    Article  Google Scholar 

  • Dai, W., Fowler, P., Schuster, G. T., 2012. Multi-Source Least-Squares Reverse Time Migration. Geophysical Prospecting. 60(4): 681–695. doi:10.1111/j.1365-2478.2012.01092.x

    Article  Google Scholar 

  • Dai, W., Schuster, G. T., 2013. Plane-Wave Least-Squares Reverse-Time Migration. Geophysics. 78(4): S165–S177. doi:10.1190/geo2012-0377.1

    Article  Google Scholar 

  • Ellis, N., Kitchenside, P., 1989. Recursive Implementation of Redatuming, Imaging, and Layer Replacement for Irregular Topography. SEG Technical Program Expanded Abstracts. 482–483. doi:10.1190/1.1889677

    Google Scholar 

  • Faye, J., Jeannot, J., 1987. Wave Field Datuming for Land Prestack Migration. SEG Technical Program Expanded Abstracts. 450–453. doi:10.1190/1.1892089

    Google Scholar 

  • He, Y., Wang, H. Z., Ma, Z. T., et al., 2002. Pre-Stack Wave Equation Depth Migration from Complex Topography. Progress in Exploration Geophysics, 25(3): 13–19 (in Chinese with English Abstract)

    Google Scholar 

  • Hu, J. X., Schuster, G. T., Valasek, P. A., 2001. Poststack Migration Deconvolution. Geophysics. 66(3): 939–952. doi:10.1190/1.1444984

    Article  Google Scholar 

  • Huang, J. P., Li, Z. C., Kong, X., et al., 2013a. A Study of Least-Squares Migration Imaging Method for Fractured-Type Carbonate Resivior. Chinese Journal of Geophysics. 56(5): 1716–1725. doi:10.6038/cjg20130529

    Google Scholar 

  • Huang, J. P., Li, Z. C., Liu, Y. J., et al., 2013b. The Least Square Pre-Stack Depth Migration on Complex Media. Progress in Geophysics, 28(6): 2977–2983 (in Chinese with English Abstract)

  • Huang, J. P., Cao, X. L., Li, Z. C., et al., 2014a. Application of Least-Square Reverse Time Migration in the High Resolution Imaging of Near-Surface. Oil Geophysical Prospecting, V49(1): 112 (in Chinese with English Abstract)

  • Huang, J. P., Xue, Z. G., Bu, C. C., et al., 2014b. The Study of Least-Squares Migration Method Based on Split-Step DSR. Journal of Jilin University (Earth Science Edition), 1: 369–374 (in Chinese with English Abstract)

    Google Scholar 

  • Huang, J. P., Sun, Y. S., Li, C., et al., 2014c. The Least-Square DSR Migration Method Based on Frequency-Selection Encoding. Oil Geophysical Prospecting, 3: 7 (in Chinese with English Abstract)

  • Jing, X., Finn, C. J., Dickens, T. A., et al., 2000. Encoding Multiple Shot Gathers in Prestack Migration. SEG Technical Program Expanded Abstracts. 79: 786–789. doi:10.1190/1.1816188

    Google Scholar 

  • Krebs, J. R., Anderson, J. E., Hinkley, D., et al., 2009. Fast Full-Wavefield Seismic Inversion Using Encoded Sources. Geophysics. 74(6): WCC177–WCC188. doi:10.1190/1.3230502

    Article  Google Scholar 

  • Kuehl, H., Sachhi, M. D., 2001. Split-Step WKBJ Least-Square Migration/Inversion of Incomplete Data. In: 5th SEGJ International Symposium Imaging Technology, Tokyo

    Google Scholar 

  • Kuehl, H., Sachhi, M., 2002. Robust AVP Estimation Using Least-Squares Wave-Equation Migration. SEG Technical Program Expanded Abstracts, 50: 251–254 doi:10.1190/1.1817231

    Google Scholar 

  • Li, C., Huang, J. P., Li, Z. C., et al., 2014a. Application of Plane-Wave Least Square Migration in Fault Block Reservoirs—A Case Study. Proceedings 76th EAGE Conference and Exhibition, Amsterdam. 4320–4324. doi:10.3997/2214-4609.20141163

    Google Scholar 

  • Li, C., Huang, J. P., Li, Z. C., et al., 2014b. Plane-Wave Least Square Reverse Time Migration for Rugged Topography. SEG Technical Program Expanded Abstracts. 3742–3746. doi:10.1190/segam2014-0998.1

    Google Scholar 

  • Li, C., Huang, J. P., Wang, R. R., 2015. Plane-Wave Least Square Reverse Time Migration with Source Polarity Encoding. 77th EAGE Conference & Exhibition, Madrid

    Google Scholar 

  • Liu, H. W., Liu, H., Li, B., et al., 2011. Pre-Stack Reverse Time Migration for Rugged Topography and GPU Acceleration Technology. Chinese Journal of Geophysics. 54(4): 526–536. doi:10.1002/cjg2.1635

    Article  Google Scholar 

  • Liu, Y. J., Li, Z. C., Wu, D., et al., 2013. The Research on Local Slope Constrained Least-Square Migration. Chinese J. Geophys., 56(3): 1003–1011

    Google Scholar 

  • Luo, Y., Schuster, G. T., 1991. Wave-Equation Traveltime Inversion. Geophysics. 56(5): 645–653. doi:10.1190/1.1443081

    Article  Google Scholar 

  • Margrave, G. F., Yao, Z. S., 2000. Downward Extrapolation from Topography with a Laterally Variable Depth Step. SEG Technical Program Expanded Abstracts. 74: 481–484. doi:10.1190/1.1816101

    Google Scholar 

  • Nemeth, T., Wu, C. J., Schuster, G. T., 1999. Least-Squares Migration of Incomplete Reflection Data. Geophysics. 64(1): 208–221. doi:10.1190/1.1444517

    Article  Google Scholar 

  • Plessix, R. E., Mulder, W. A., 2004. Frequency-Domain Finite-Difference Amplitude-Preserving Migration. Geophysical Journal International. 157(3): 975–987. doi:10.1111/j.1365-246x.2004.02282.x

    Article  Google Scholar 

  • Reshef, M., 1991. Depth Migration from Irregular Surfaces with Depth Extrapolation Methods. Geophysics. 56(1): 119–122. doi:10.1190/1.1442947

    Article  Google Scholar 

  • Schneider, W. A., Phillip, L. D., Paal, E. F., 1995. Wave-Equation Velocity Replacement of the Low-Velocity Layer for Overthrust Belt Data. Geophysics. 60(2): 573–579. doi:10.1190/1.1443795

    Article  Google Scholar 

  • Schuster, G. T., Wang, X., Huang, Y., et al., 2011. Theory of Multisource Crosstalk Reduction by Phase-Encoded Statics. Geophysical Journal International. 184(3): 1289–1303. doi:10.1111/j.1365-246x.2010.04906.x

    Article  Google Scholar 

  • Shragge, J., Sava, P., 2005. Wave-Equation Migration from Topography. SEG Technical Program Expanded Abstracts. 1842–1845. doi:10.1190/1.2148061

    Google Scholar 

  • Tian, W. H., Li, Z. C., Zhang, H., et al., 2006. Wave-Field upward Continuation Pre-Stack Depth Migration Based on Irregular Topography. Journal of China University of Petroleum (Edition of Natural Science), 30(5): 19–22 (in Chinese with English Abstract)

    Google Scholar 

  • Wang, C. X., Zhao, B., Zhang, G. Q., 2002. Rugged Surface Oriented Hybrid Pre-Stack Depth Migration. Oil Geophysical Prospecting, 37(3): 219–223 (in Chinese with English Abstract)

    Google Scholar 

  • Wiggins, J. W., 1984. Kirchhoff Integral Extrapolation and Migration of Nonplanar Data. Geophysics. 49(8): 1239–1248. doi:10.1190/1.1441752

    Article  Google Scholar 

  • Xiong, X. J., He, Z. H., Huang, D. J., 2006. One-Way Wave Equation Seismic Prestack Forward Modeling with Irregular Surfaces. Applied Geophysics. 3(1): 13–17. doi:10.1007/s11770-006-0002-7

    Article  Google Scholar 

  • Yang, H. S., 2007. Relief Surface-Based Prestack Depth Migration of Synthetic Shot Records. Oil Geophysical Prospecting, 42(4): 380–386 (in Chinese with English Abstract)

    Google Scholar 

  • Yang, K., Wang, H. Z., Cheng, J. B., et al., 2002. Prestack Wave Equation Datum Correction from Non-flat Surface with Finite Difference Scheme. Oil Geophysical Prospecting, 37(2): 62–70 (in Chinese with English Abstract)

    Google Scholar 

  • Yang, Q. Q., Zhang, S. L., 2008. Least-Square Fourier Finite Difference Migration. Progress in Geophysics, 23(2): 433–437 (in Chinese with English Abstract)

    Google Scholar 

  • Yilmaz, O., Lucas, D., 1986. Prestack Layer Replacement. Geophysics. 51(7): 1355–1369. doi:10.1190/1.1442186

    Article  Google Scholar 

  • Zhu, X. H., Angstman, B. G., Sixta, D. P., 1998. Overthrust Imaging with Tomo-datuming: A Case Study. Geophysics. 63(1): 25–38. doi:10.1190/1.1444319

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chuang Li.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Huang, J., Li, C., Wang, R. et al. Plane-wave least-squares reverse time migration for rugged topography. J. Earth Sci. 26, 471–480 (2015). https://doi.org/10.1007/s12583-015-0556-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12583-015-0556-5

Keywords

Navigation