4.7 Article

Approximate solutions of acoustic 3D integral equation and their application to seismic modeling and full-waveform inversion

期刊

JOURNAL OF COMPUTATIONAL PHYSICS
卷 346, 期 -, 页码 318-339

出版社

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2017.06.021

关键词

Seismology; Acoustics; Integral equation; Full-waveform inversion

资金

  1. Russian Science Foundation [16-11-10188]
  2. University of Utah's Consortium for Electromagnetic Modeling and Inversion (CEMI)
  3. TechnoImaging
  4. Russian Science Foundation [16-11-10188] Funding Source: Russian Science Foundation

向作者/读者索取更多资源

Over the recent decades, a number of fast approximate solutions of Lippmann-Schwinger equation, which are more accurate than classic Born and Rytov approximations, were proposed in the field of electromagnetic modeling. Those developments could be naturally extended to acoustic and elastic fields; however, until recently, they were almost unknown in seismology. This paper presents several solutions of this kind applied to acoustic modeling for both lossy and lossless media. We evaluated the numerical merits of those methods and provide an estimation of their numerical complexity. In our numerical realization we use the matrix-free implementation of the corresponding integral operator. We study the accuracy of those approximate solutions and demonstrate, that the quasianalytical approximation is more accurate, than the Born approximation. Further, we apply the quasi-analytical approximation to the solution of the inverse problem. It is demonstrated that, this approach improves the estimation of the data gradient, comparing to the Born approximation. The developed inversion algorithm is based on the conjugategradient type optimization. Numerical model study demonstrates that the quasi-analytical solution significantly reduces computation time of the seismic full-waveform inversion. We also show how the quasi-analytical approximation can be extended to the case of elastic wavefield. (C) 2017 Elsevier Inc. All rights reserved.

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