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Volume 28, Issue 1
Multi-Frequency Contrast Source Inversion for Reflection Seismic Data

Shoudong Wang & Ru-Shan Wu

DOI: 10.4208/cicp.OA-2018-0099

Commun. Comput. Phys., 28 (2020), pp. 207-227.

Published online: 2020-05

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  • Abstract

In the contrast source inversion (CSI) method, the contrast sources (equivalent scattering sources) and the contrast (parameter perturbation) are iteratively reconstructed by an alternating optimization scheme. Traditionally integral equation CSI method is formulated for transmission tomography using analytic Green's function in homogeneous background. To extend the method to the case of reflection seismology, in this paper, we use WKBJ method to compute the Green's function of depth dependent background media and the solving method of equations to initialize the contrast source of different frequencies, resulting in an efficient method to invert multi-frequency reflection seismic data – multi-frequency contrast source inversion method (MFCSI). Numerical results for the Marmousi model show that MFCSI method can obtain good results even when low frequency data are missing, in which case the conventional FWI fails.

  • Keywords

Contrast source inversion, full waveform inversion, frequency domain inversion, integral equation CSI.

  • AMS Subject Headings

35L05, 35A35, 58J45

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

ctlab@cup.edu.cn (Shoudong Wang)

rwu@ucsc.edu (Ru-Shan Wu)

  • BibTex
  • RIS
  • TXT
@Article{CiCP-28-207, author = {Wang , Shoudong and Wu , Ru-Shan}, title = {Multi-Frequency Contrast Source Inversion for Reflection Seismic Data}, journal = {Communications in Computational Physics}, year = {2020}, volume = {28}, number = {1}, pages = {207--227}, abstract = {

In the contrast source inversion (CSI) method, the contrast sources (equivalent scattering sources) and the contrast (parameter perturbation) are iteratively reconstructed by an alternating optimization scheme. Traditionally integral equation CSI method is formulated for transmission tomography using analytic Green's function in homogeneous background. To extend the method to the case of reflection seismology, in this paper, we use WKBJ method to compute the Green's function of depth dependent background media and the solving method of equations to initialize the contrast source of different frequencies, resulting in an efficient method to invert multi-frequency reflection seismic data – multi-frequency contrast source inversion method (MFCSI). Numerical results for the Marmousi model show that MFCSI method can obtain good results even when low frequency data are missing, in which case the conventional FWI fails.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2018-0099}, url = {http://global-sci.org/intro/article_detail/cicp/16834.html} }
TY - JOUR T1 - Multi-Frequency Contrast Source Inversion for Reflection Seismic Data AU - Wang , Shoudong AU - Wu , Ru-Shan JO - Communications in Computational Physics VL - 1 SP - 207 EP - 227 PY - 2020 DA - 2020/05 SN - 28 DO - http://doi.org/10.4208/cicp.OA-2018-0099 UR - https://global-sci.org/intro/article_detail/cicp/16834.html KW - Contrast source inversion, full waveform inversion, frequency domain inversion, integral equation CSI. AB -

In the contrast source inversion (CSI) method, the contrast sources (equivalent scattering sources) and the contrast (parameter perturbation) are iteratively reconstructed by an alternating optimization scheme. Traditionally integral equation CSI method is formulated for transmission tomography using analytic Green's function in homogeneous background. To extend the method to the case of reflection seismology, in this paper, we use WKBJ method to compute the Green's function of depth dependent background media and the solving method of equations to initialize the contrast source of different frequencies, resulting in an efficient method to invert multi-frequency reflection seismic data – multi-frequency contrast source inversion method (MFCSI). Numerical results for the Marmousi model show that MFCSI method can obtain good results even when low frequency data are missing, in which case the conventional FWI fails.

Wang , Shoudong and Wu , Ru-Shan. (2020). Multi-Frequency Contrast Source Inversion for Reflection Seismic Data. Communications in Computational Physics. 28 (1). 207-227. doi:10.4208/cicp.OA-2018-0099
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