1887

Abstract

Summary

We propose a finite-difference scheme for the simulation of seismic waves interacting with 3-D free-surface topography. The intended application is velocity model building by acoustic full-waveform inversion (FWI). The scheme follows an immersed boundary approach for wave equations in the first-order stress-velocity formulation, discretized on a standard staggered grid. Our scheme employs modified 1-D stencils rather than a full 3-D field wavefield extension at the free surface. Although this decreases the accuracy, it improves the scheme’s simplicity and robustness. To avoid stability problems, points close to the zero-pressure boundary must be excluded. The scheme, and its adjoint, have been tested by tilted geometry tests and by comparison to a finite-element method. We present a first test result of full-waveform inversion with the new scheme.

Loading

Article metrics loading...

/content/papers/10.3997/2214-4609.201601664
2016-05-30
2024-04-23
Loading full text...

Full text loading...

References

  1. Bohlen, T. and Saenger, E.
    [2006] Accuracy of heterogeneous staggered-grid finite-difference modeling of Rayleigh waves. Geophysics, 71, 109–115.
    [Google Scholar]
  2. Brossier, R., Diaz-Mojica, J., Beller, S. and Pajot, B.
    [2014] 3D elastic wave modeling for exploration scale Full Waveform Inversion. Tech. Rep.78, Seiscope.
    [Google Scholar]
  3. Hestholm, S.
    [2003] Elastic wave modeling with free surfaces: stability of long simulations. Geophysics, 68, 314–321.
    [Google Scholar]
  4. Komatitsch, D. and Vilotte, J.
    [1998] The spectral element method: an efficient tool to simulate the seismic response of 2-D and 3-D geological structures. Bulletin of the Seismological Society America, 88, 368–392.
    [Google Scholar]
  5. Lombard, B., Piraux, J., Gélis, C. and Virieux, J.
    [2008] Free and smooth boundaries in 2-D finite-difference schemes for transient elastic waves. 172(1), 252–261.
    [Google Scholar]
  6. De la Puente, J., Ferrer, M., Hanzich, M., Castillo, J.E. and Cela, J.M.
    [2014] Mimetic seismic wave modeling including topography on deformed staggered grids. Geophysics, 79(3), T125–T141.
    [Google Scholar]
  7. Robertsson, J.
    [1996] A numerical free-surface condition for elastic/viscoelastic finite-difference modeling in the presence of topography. Geophysics, 61, 1921–1934.
    [Google Scholar]
  8. Zhebel, E., Minisini, S., Kononov, A. and Mulder, W.A.
    [2014] A comparison of continuous mass-lumped finite elements with finite differences for 3-D wave propagation. Geophysical Prospecting, 62(5), 1111–1125.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.201601664
Loading
/content/papers/10.3997/2214-4609.201601664
Loading

Data & Media loading...

This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error