Journal of Seismology

, Volume 20, Issue 2, pp 475–494 | Cite as

Simultaneous elastic parameter inversion in 2-D/3-D TTI medium combined later arrival times

  • Chao-ying BaiEmail author
  • Tao Wang
  • Shang-bei Yang
  • Xing-wang Li
  • Guo-jiao Huang
Original Article


Traditional traveltime inversion for anisotropic medium is, in general, based on a “weak” assumption in the anisotropic property, which simplifies both the forward part (ray tracing is performed once only) and the inversion part (a linear inversion solver is possible). But for some real applications, a general (both “weak” and “strong”) anisotropic medium should be considered. In such cases, one has to develop a ray tracing algorithm to handle with the general (including “strong”) anisotropic medium and also to design a non-linear inversion solver for later tomography. Meanwhile, it is constructive to investigate how much the tomographic resolution can be improved by introducing the later arrivals. For this motivation, we incorporated our newly developed ray tracing algorithm (multistage irregular shortest-path method) for general anisotropic media with a non-linear inversion solver (a damped minimum norm, constrained least squares problem with a conjugate gradient approach) to formulate a non-linear inversion solver for anisotropic medium. This anisotropic traveltime inversion procedure is able to combine the later (reflected) arrival times. Both 2-D/3-D synthetic inversion experiments and comparison tests show that (1) the proposed anisotropic traveltime inversion scheme is able to recover the high contrast anomalies and (2) it is possible to improve the tomographic resolution by introducing the later (reflected) arrivals, but not as expected in the isotropic medium, because the different velocity (qP, qSV and qSH) sensitivities (or derivatives) respective to the different elastic parameters are not the same but are also dependent on the inclination angle.


Multistage irregular shortest-path ray tracing Non-linear inversion solver TTI medium Elastic parameters Later arrival Simultaneous anisotropic parameter inversion 



This research work was partially supported by China National Major Science and Technology Project (subproject no: 2011ZX05024-001-03), the Doctoral Programming Research Fund of Higher Education, Chinese Ministry of Education (Project No: 20110205110010), and the Natural Science Foundation of China (NSFC, project no: 41504038).


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Copyright information

© Springer Science+Business Media Dordrecht 2015

Authors and Affiliations

  • Chao-ying Bai
    • 1
    • 2
    Email author
  • Tao Wang
    • 1
    • 3
  • Shang-bei Yang
    • 1
  • Xing-wang Li
    • 1
  • Guo-jiao Huang
    • 4
  1. 1.Department of Geophysics, College of Geology Engineering and GeomaticsChang’an UniversityXi’anChina
  2. 2.Institute of Computing GeophysicsChang’an UniversityXi’anChina
  3. 3.Shaanxi railway InstituteWeinanChina
  4. 4.Department of Geology Science and Engineering, School of Earth Sciences and EngineeringHohai UniversityNanjingChina

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