1887

Abstract

Summary

Wave propagation in unconventional reservoirs can be very complex. Both thin layering and hydraulic fracturing perturb significantly the wave field that propagates in such formations, showing potential strong anisotropic effects. Therefore, the accuracy of the numerical simulations of travel times, amplitudes and polarization is critical for the purpose of microseismic monitoring: these parameters are indeed used in events locations and characterization (source mechanism and magnitude). While there exists a wide variety of finite-difference schemes aimed at solving the Eikonal equation in anisotropic media, it is necessary to solve transport and polarization equations to get the other three parameters instead of using the traveltime gradients to infer them. In the present paper, we propose a finite-difference, perturbation based scheme to solve for all three equations in 3D VTI velocity models.

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/content/papers/10.3997/2214-4609.201600015
2016-01-31
2024-04-24
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References

  1. Belayouni, N.
    , 2013, Nouveaux algorithmes efficaces de modélisation 2d et 3d: Temps des premières arrivées, angles ‵a la source et amplitudes: PhD thesis, Ecole Nationale Supérieure des Mines deParis.
    [Google Scholar]
  2. BousquieN. and SiliqiR.
    2001. 3D VTI eikonal solver for efficient acoustic travel-time computation. In: Anisotropy 2000: Fractures, Converted Waves, and Case Studies, pp. 333–338. Society of Exploration Geophysicists.
    [Google Scholar]
  3. Buske, S. and Kästner, U
    2004. Efficient and accurate computation of seismic traveltimes and amplitudes. Geophysical prospecting52, 313–322.
    [Google Scholar]
  4. DellingerJ. and SymesW.
    1997. Anisotropic finite-difference traveltimes using a Hamilton–Jacobi solver. 67th SEG meeting, Dallas, USA, Expanded Abstracts, 1786–1789.
    [Google Scholar]
  5. FomelS.
    2004. On anelliptic approximations for qP velocities in VTI media. Geophysical prospecting52, 247–259.
    [Google Scholar]
  6. LecomteI.
    1993. Finite difference calculation if first traveltimes in anisotropic media. Geophysical journal international113, 318–342.
    [Google Scholar]
  7. Noble, M., A.Gesret, and N.Belayouni
    , 2014, Accurate 3-D finite difference computation of traveltimes in strongly heterogeneous media.: Geophys. J. Int, 199(3), 1572–1585.
    [Google Scholar]
  8. QianJ. and SymesW.
    2002. Finite-difference quasi-p traveltimes for anisotropic media. Geophysics67, 147–155.
    [Google Scholar]
  9. RoganovY.V.
    2006. 3D eikonal solver in tilted TI media. EAGE 68th Conference & Exhibition — Vienna, Austria.
    [Google Scholar]
  10. ThomsenL.
    1986. Weak elastic anisotropy. Geophysics51, 1954–1966.
    [Google Scholar]
  11. VidaleJ.E. and H.Houston
    , 1990, Rapid calculation of seismic amplitudes, Geophysics, 55, 1504– 1507
    [Google Scholar]
  12. LuoS., and QianJ.
    , 2011, Factored singularities and high-order Lax-Friedrichs sweeping schemes for point-source traveltimes and amplitudes, J. Computational Physics230 (2011), 4742–4755.
    [Google Scholar]
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