Skip to main content
SpringerLink
Log in

An efficient and accurate finite-difference operator using adaptively discretized grids and its application for 3D least-squares reverse-time migration

  • Original Paper
  • Published:
Arabian Journal of Geosciences Aims and scope Submit manuscript

Abstract

Least-square reverse-time migration (LSRTM) is a powerful tool to image subsurface reflectivity with high resolution. It has the ability to reduce migration artifacts, balance amplitudes, and improve imaging resolution. However, the large amount of computation cost is one of its challenging problems, especially for 3D problems. We propose an efficient and accurate finite-difference modeling operator using an adaptive variable grid strategy. The resampled model’s grid intervals adapt to local velocity and wave frequency, ensuring that dispersion is mitigated to some extent. Furthermore, we apply the modeling operator to 3D LSRTM with graphics processing unit (GPU) implementation in order to mitigate the large calculation costs. The 3D modeling is applied to two synthetic examples to validate its feasibility, accuracy, and efficiency. The imaging results of the 3D SEG/EAGE overthrust model demonstrated that adaptive grid LSRTM (AGLSRTM) is capable of reducing computing time and memory requirement while producing the same imaging accuracy as traditional LSRTM.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

Similar content being viewed by others

References

  • Baysal E, Kosloff DD, Sherwood JW (1983) Reverse time migration. Geophysics 48(11):1514–1524

    Article  Google Scholar 

  • Dai W, Schuster GT (2013) Plane-wave least-squares reverse-time migration. Geophysics 78(4):S165–S177

    Article  Google Scholar 

  • Dai W, Fowler P, Schuster GT (2012) Multi-source least-squares reverse time migration. Geophys Prospect 60(4):681–695

    Article  Google Scholar 

  • Dong S, Cai J, Guo M, Suh S, Zhang Z, Wang B, Li EZ (2012) Least-squares reverse time migration: towards true amplitude imaging and improving the resolution. SEG Technical Program Expanded Abstracts 2012.

  • Fan N, Zhao LF, Gao YJ, Yao ZX (2015) A discontinuous collocated-grid implementation for high-order finite-difference modelingDiscontinuous-grid FD modeling. Geophysics 80(4):T175–T181

    Article  Google Scholar 

  • Fan JW, Li ZC, Zhang K, Zhang M, Liu XT (2016) Multisource least-squares reverse-time migration with structure-oriented filtering. Appl Geophys 13(3):491–499

    Article  Google Scholar 

  • Fan N, Zhao LF, Xie XB, Yao ZX (2018) A discontinuous-grid finite-difference scheme for frequency-domain 2D scalar wave modeling. Geophysics 83(4):T235–T244

    Article  Google Scholar 

  • Ha W, Shin C (2012) Efficient Laplace-domain modeling and inversion using an axis transformation technique. Geophysics 77(4):R141–R148

    Article  Google Scholar 

  • Hu H, Liu Y, Zheng Y, Liu X, Lu H (2016) Least-squares Gaussian beam migration. Geophysics 81(3):S87–S100

    Article  Google Scholar 

  • Huang J, Li C, Wang R, Li Q, (2015) Plane-wave least-squares reverse time migration for rugged topography. Journal of Earth Science 26 (4):471-480

  • Huang JP, Li ZC, Kong X, Liu YJ, Cao XL, Xue ZG (2013) A study of least-squares migration imaging method for fractured-type carbonate reservoir. Chin J Geophys 56(5):1716–1725

    Google Scholar 

  • Kühl H, Sacchi MD (2003) Least-squares wave-equation migration for AVP/AVA inversion. Geophysics 68(1):262–273

    Article  Google Scholar 

  • Li C, Huang JP, Li ZC, Li QY (2014) Plane-wave least square reverse time migration for rugged topography. SEG Technical Program Expanded Abstracts 2014

  • Li C, Huang JP, Li ZC, Wang RR (2017a) Preconditioned prestack plane-wave least squares reverse time migration with singular spectrum constraint. Appl Geophys 14(1):73–86

    Article  Google Scholar 

  • Li C, Huang J, Li Z, Wang R (2017b) Plane-wave least-squares reverse time migration with a preconditioned stochastic conjugate gradient method. Geophysics 83(1):S33–S46

    Article  Google Scholar 

  • Li, Y., Li, Z. and Zhang, K., 2016, May. Frequency-domain waveform inversion with irregular surface based on variable grid finite difference method. In 78th EAGE Conference and Exhibition 2016 (pp. 1-5). European Association of Geoscientists & Engineers.

  • Liu X, Liu Y (2018) Plane-wave domain least-squares reverse time migration with free-surface multiples. Geophysics 83(6):S477–S487

    Article  Google Scholar 

  • Liu L, Ding R, Liu H, Liu H (2015) 3D hybrid-domain full waveform inversion on GPU. Comput Geosci 83:27–36

    Article  Google Scholar 

  • Liu X, Liu Y, Huang X, Li P (2016) Least-squares reverse-time migration with cost-effective computation and memory storage, Journal of Applied Geophysics. 129:200–208

  • McMechan GA (1983) Migration by extrapolation of time-dependent boundary values. Geophys Prospect 31(3):413–420

    Article  Google Scholar 

  • Nemeth T, Wu C, Schuster GT (1999) Least-squares migration of incomplete reflection data. Geophysics 64(1):208–221

    Article  Google Scholar 

  • Qu Y, Li Z, Huang J, Li Q, Li J (2015) Multiple dual-variable grid encoding full time inversion based on an optimized encoding function. In2015 Workshop: Depth Model Building: Full-waveform Inversion, Beijing, China. Society of Exploration Geophysicists

  • Shin J, Ha W, Jun H, Min DJ, Shin C (2014) 3D Laplace-domain full waveform inversion using a single GPU card. Comput Geosci 67:1–3

    Article  Google Scholar 

  • Wang Y, Zhou H, Zhao X, Zhang Q, Zhao P, Yu X, Chen Y (2018) Cu Q-RTM: a CUDA-based code package for stable and efficient Q-compensated RTM. Geophysics 84(1):1–69

    Article  Google Scholar 

  • Weiss RM, Shragge J (2013) Solving 3D anisotropic elastic wave equations on parallel GPU devices. Geophysics 78(2):F7–F15

    Article  Google Scholar 

  • Xie J, Guo Z, Liu H, Liu QH (2018) GPU acceleration of time gating based reverse time migration using the pseudospectral time-domain algorithm. Comput Geosci 117:57–62

    Article  Google Scholar 

  • Xue H, Liu Y (2017) Multi-source least-square reverse time migration based on MPI And CUDA hybrid accelerating algorithm. 79th EAGE Conference and Exhibition 2017

  • Yang J, Zhu H (2019) Viscoacoustic least-squares reverse-time migration using a time-domain complex-valued wave equation. Geophysics 84(5):1–130

    Google Scholar 

  • Yang J, Zhu H, McMechan G, Yue Y (2018) Time-domain least-squares migration using the Gaussian beam summation method. Geophys J Int 214(1):548–572

    Article  Google Scholar 

  • Yang J, Zhu H, McMechan G, Zhang H, Yang Z (2019) Elastic least-squares reverse time migration in vertical transverse isotropic media. Geophysics 84(6):S539–S553

    Article  Google Scholar 

  • Zhang M, Kuang B, Wang HZ, Sui Z, Shan L (2018) LSRTM in visco-acoustic medium on GPU clusters and its application on 3D land datasets. 80th EAGE Conference and Exhibition 2018.

Download references

Author information

Authors and Affiliations

  1. School of Geosciences, China University of Petroleum, Qingdao, 266580, China

    Ziying Wang, Jianping Huang, Zhenchun Li & Peng Yong

  2. Sinopec Geophysical Research Institute, Nanjing, 211103, China

    Dingjin Liu

Authors
  1. Ziying Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jianping Huang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Zhenchun Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Dingjin Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Peng Yong
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jianping Huang.

Additional information

Responsible Editor: Lun Li

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, Z., Huang, J., Li, Z. et al. An efficient and accurate finite-difference operator using adaptively discretized grids and its application for 3D least-squares reverse-time migration. Arab J Geosci 13, 480 (2020). https://doi.org/10.1007/s12517-020-05417-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s12517-020-05417-4

Keywords

Search

Navigation