Acta Geophysica

, Volume 67, Issue 6, pp 1551–1561 | Cite as

Reflected wave least squares reverse time migration with angle illumination compensation

  • Huamin ZhouEmail author
  • Shengchang Chen
  • Liming Zhou
  • Haoran Ren
  • Rushan Wu
  • Guoqiang Xiao
Research Article - Applied Geophysics


High-quality seismic data imaging plays an important role in the lithological interpretation of subsurface structures. However, high-quality imaging remains a challenging task. Based on the linear inversion theory of reflected wave equations, this paper proposes reflected wave least squares reverse time migration with angle illumination compensation to better balance the amplitude of seismic imaging. We use the reflected wave migration equation to unify forward and backward propagation, which helps to obtain an image with correct phase and symmetric waveform. Under the assumption that the spectrum of seismic wavefield remains unchanged, the Poynting vector method is used to efficiently calculate the propagation direction of seismic waveform and seismic illumination in the angle domain. During iteration, angle-domain illumination is used as a preconditioner to compensate for the amplitude of the iterated gradient terms based on the angle value. In this manner, we can enhance the imaging energy of steeply inclined structures. To improve the stability of linear inversion, the spatial derivative of the image is used as a regularized constraint term. Numerical tests show that the proposed method can suppress imaging noise as well as improve resolution and amplitude fidelity of the images. Furthermore, the inversed result can be used to estimate underground reflectivity, which is important for the further development of seismic inversion technology.


Least squares reverse time migration Angle illumination compensation Linear inversion Reflected wave Regularization 



This research was supported by the National Natural Science Foundation of China (41702321, 41874133), the National Key Research and Development Program (2017YFC1502600, 2017YFC1501203) and the China Central Scientific Research Operating Expenses Project (CKSF2019181/YT, CKSF2019434/SL).


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Copyright information

© Institute of Geophysics, Polish Academy of Sciences & Polish Academy of Sciences 2019

Authors and Affiliations

  1. 1.Key Laboratory of Geotechnical Mechanics and Engineering of the Ministry of Water ResourcesChangjiang River Scientific Research InstituteWuhanChina
  2. 2.School of Earth SciencesZhejiang UniversityHangzhouChina
  3. 3.IGPPUniversity of CaliforniaSanta CruzUSA

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