1887

Abstract

Summary

Accurate and efficient calculation of traveltimes in heterogeneous three-dimensional (3D) media with tilted transversely isotropic (TTI) assumptions is essential for processing and imaging using seismic data in many realistic geological scenarios. Such accuracy depends on correctness of the anisotropic velocity model as well as the numerical method for computing traveltimes. In this work, we developed a high-order fast-sweeping eikonal solver for 3D TTI media toward this end. We have compared traveltimes computed using this algorithm with results from a layer-based anisotropic two-point ray tracer. A good match between the results from both algorithms verifies the accuracy of this eikonal solver even when chosen grid sizes are not small. This eikonal solver can be incorporated into imaging and inversion applications for obtaining better images and parameter estimations.

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/content/papers/10.3997/2214-4609.201701110
2017-06-12
2024-04-26
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References

  1. Kao, C.Y., Osher, S., and Quian, J.
    [2004] Lax-Friedrichs sweeping scheme for static Hamilton-Jacobi equations. J. Comput. Phys., 196(1), 367–391.
    [Google Scholar]
  2. Lou, M.
    [2006] Efficient and accurate traveltime computation in 3D TTI media by the fast marching method. SEG Technical Program 2006, Expanded Abstracts, 184–188.
    [Google Scholar]
  3. Rouy, E. and Tourin, A.
    [1992] A viscosity solutions approach to shape-from-shading. SIAM Journal on Numerical Analysis, 29(3), 867–884.
    [Google Scholar]
  4. Thomsen, L.
    [1986] Weak elastic anisotropy. Geophysics, 51(10), 1954–1966.
    [Google Scholar]
  5. Waheed, U.B., Yarman, C.E. and Flagg, G.
    [2015] An iterative, fast-sweeping-based eikonal solver for 3D tilted anisotropic media. Geophysics, 80(3), C49–C58.
    [Google Scholar]
  6. Zhang, Y.-T., Zhao, H. and Quian, J.
    [2006] High order fast sweeping methods for static Hamilton-Jacobi equations. J. Sci. Comp., 29(1), 25–56.
    [Google Scholar]
  7. Zhao, H.
    [2004] A fast sweeping method for Eikonal equations.Math. Comp., 74, 603–627.
    [Google Scholar]
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