Journal of Jilin University(Earth Science Edition) ›› 2019, Vol. 49 ›› Issue (4): 1160-1168.doi: 10.13278/j.cnki.jjuese.20180198

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Travel-Time Computation in VTI Media Based on Fast Marching Method

Xiao Han, Wang Deli   

  1. College of GeoExploration Sicence and Technology, Jilin University, Changchun 130026, China
  • Received:2018-07-23 Online:2019-07-26 Published:2019-07-26
  • Supported by:
    Supported by National Nature Science Foundation of China (2016ZX05026-002-003) and National Natural Science Foundation of China (41374108)

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Abstract: Full-wave seismic inversion is a trend of geological structure interpretation. Seismic first-arrival travel time is an important parameter in processes of providing initial models like tomography. An efficient, accurate and stable method for travel time computation is very important for anisotropic modeling. Firstly, we use the perturbation theory and Taylor's theorem to expand the eikonal equation of the VTI media, by which we achieve the analytical solution of the homogeneous media (Alkhalifa2012); next, we introduce a fast marching method of isotropic media, and use the upwind difference to obtain the single point travel time. Combining with narrowband propulsion technique, we set a new travel-time computation method in VTI media based on the fast matching method. The calculated result is evaluated by comparing with the analytical values of the weak anisotropic homogenous model. The effectiveness and stability of the method is verified through calculating the travel time of the reflected waves in the layered medium model. The theoretical analysis and model trial show that this method is efficient and precise, and can be applied to anisotropic tomography and full wave field migration.

Key words: anisotropy, fast marching method, narrow band technique, travel time calculation

CLC Number: 

  • P631.4
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