An explicit stabilization scheme for Q-compensated reverse time migrationExplicit stabilization for Q-RTM | Geophysics (2024)

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Volume 87, Number 3

May 2022

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Research Article| April 18, 2022

Yufeng Wang;

Yufeng Wang

1

China University of Geosciences (Wuhan)

, Institute of Geophysics and Geomatics, Wuhan, China. wangyufeng@cug.edu.cn

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Jerry M. Harris;

Jerry M. Harris

2

Stanford University

, Department of Geophysics, Stanford, California, USA. jerry.harris@stanford.edu

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Min Bai;

Min Bai

3

Yangtze University

, Key Laboratory of Exploration Technologies for Oil and Gas Resources of Ministry of Education, Wuhan, China. baimin2016@126.com (corresponding author)

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Omar M. Saad;

Omar M. Saad

4

National Research Institute of Astronomy and Geophysics (NRIAG)

, Helwan, Egypt. omar.saad@nriag.sci.eg

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Liuqing Yang;

Liuqing Yang

5

China University of Petroleum (Beijing)

, State Key Laboratory of Petroleum Resources and Prospecting, Beijing, China. yangliuqingqin@163.com

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Yangkang Chen

Yangkang Chen

6

The University of Texas at Austin

, Bureau of Economic Geology, University Station, Austin, Texas, USA. chenyk2016@gmail.com

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Author and Article Information

1

China University of Geosciences (Wuhan)

, Institute of Geophysics and Geomatics, Wuhan, China. wangyufeng@cug.edu.cn

Jerry M. Harris

2

Stanford University

, Department of Geophysics, Stanford, California, USA. jerry.harris@stanford.edu

3

Yangtze University

, Key Laboratory of Exploration Technologies for Oil and Gas Resources of Ministry of Education, Wuhan, China. baimin2016@126.com (corresponding author)

Omar M. Saad

4

National Research Institute of Astronomy and Geophysics (NRIAG)

, Helwan, Egypt. omar.saad@nriag.sci.eg

5

China University of Petroleum (Beijing)

, State Key Laboratory of Petroleum Resources and Prospecting, Beijing, China. yangliuqingqin@163.com

6

The University of Texas at Austin

, Bureau of Economic Geology, University Station, Austin, Texas, USA. chenyk2016@gmail.com

Publisher: Society of Exploration Geophysicists

Received: 09 Jun 2021

Revision Received: 07 Feb 2022

Accepted: 08 Feb 2022

First Online: 19 Apr 2022

Online ISSN: 1942-2156

Print ISSN: 0016-8033

Funding

  • Funder(s):

    • Award Id(s):

      2021DQ02-0301

Society of Exploration Geophysicists

Geophysics (2022) 87 (3): F25–F40.

Article history

Received:

09 Jun 2021

Revision Received:

07 Feb 2022

Accepted:

08 Feb 2022

First Online:

19 Apr 2022

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Citation

Yufeng Wang, Jerry M. Harris, Min Bai, Omar M. Saad, Liuqing Yang, Yangkang Chen; An explicit stabilization scheme for Q-compensated reverse time migration. Geophysics 2022;; 87 (3): F25–F40. doi: https://doi.org/10.1190/geo2021-0134.1

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ABSTRACT

Attenuation compensation in prestack depth migration typically requires nonphysical frequency-dependent energy amplification, which may lead to numerical instability. An explicit stabilization approach is developed for seismic Q compensation after deriving the k-space Green’s function of the compensated constant-Q wave equation, which has decoupled fractional Laplacians. At high wavenumbers, as time increases, the time propagator of k-space Green’s function increases exponentially. Therefore, an exponential window function is introduced to stabilize the exponentially divergent time propagator. Unlike the conventional low-pass filtering approach in the frequency or wavenumber domain, the proposed method assumes that the exponent of the chosen window is a power function of the wavenumber magnitude, which only involves explicit stabilization terms in the time-space domain. An explicit stabilization form helps to perform seismic data Q compensation more conveniently. We outline the basic structure of the proposed approach with explicit stabilization and highlight some numerical details using compute unified device architexture-based implementations. The strong scaling analysis justifies the good performance of the developed code package in terms of computational efficiency and scalability. In addition, we further analyze the optimal scheme parameter selection and the influence of parameters on filtering performance. The proposed Q-compensated reverse time migration is applied on the Marmousi model and synthetic and real crosswell examples to verify its feasibility and numerical stability.

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Index Terms/Descriptors

  • attenuation
  • data acquisition
  • data processing
  • equations
  • geophysical methods
  • Green function
  • imagery
  • Marmousi model
  • prestack migration
  • Q
  • seismic methods
  • seismic migration
  • Texas
  • United States
  • King Mountain
  • reverse time migration

Latitude & Longitude

  • N25°45'00" - N36°30'00", W106°30'00" - W93°30'00"

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An explicit stabilization scheme for Q-compensated reverse time migrationExplicit stabilization for Q-RTM | Geophysics (2024)
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