1887

Abstract

Summary

Wavefield injection in finite-difference grids can be described by the method of multiple point sources. Synthetically generated wavefields and wavefield constituents can be reconstructed in a volume from recordings on a surface surrounding the volume itself by using a combination of monopole and dipole sources. We show how to record surface wavefields at the right location and how to properly implement point sources in staggered finite-difference grids of arbitrary order of spatial accuracy. Only one or two surface wavefields are required to reconstruct the original wavefields or wavefield constituents to machine precision. We show the application of the method for the separation of up- and downgoing wavefields and for source wavefield reconstruction for reverse-time migration. Our implementation enables accurate wavefield reconstruction with minimal memory requirements.

Loading

Article metrics loading...

/content/papers/10.3997/2214-4609.201601175
2016-05-30
2024-04-20
Loading full text...

Full text loading...

References

  1. Aki, K. and Richards, PG.
    [2002] Quantitative Seismology. University Science Books Sausalito, California, 2nd edn.
    [Google Scholar]
  2. Amundsen, L. and Robertsson, J.O.A.
    [2014] Wave equation processing using finite-difference propagators, Part 1 : Wavefield dissection and imaging of marine multicomponent seismic data. Geophysics, 79(6), T287–T300.
    [Google Scholar]
  3. Dussaud, E., Symes, W.W., Williamson, P., Lemaistre, L., Singer, P., Denel, B. and Cherrett, A.
    [2008] Computational strategies for reverse-time migration. 78th Annual International Meeting, SEG, Expanded Abstracts, 2267–2271.
    [Google Scholar]
  4. Fornberg, B.
    [1988] Generation of finite difference formulas on arbitrarily spaced grids. Mathematics of Computation, 51(184), 699–706.
    [Google Scholar]
  5. Masson, Y., Cupillard, P., Capdeville, Y. and Romanowicz, B.
    [2014] On the numerical implementation of time-reversal mirrors for tomographic imaging. Geophysical Journal International, 196(3), 1580–1599.
    [Google Scholar]
  6. Mittet, R.
    [1994] Implementation of the Kirchhoff integral for elastic waves in staggered-grid modeling schemes. Geophysics, 59(12), 1894–1901.
    [Google Scholar]
  7. Morse, P.M. and Feshbach, H.
    [1953] Methods of Theoretical Physics. McGraw-Hill.
    [Google Scholar]
  8. Ravasi, M. and Curtis, A.
    [2013] Elastic imaging with exact wavefield extrapolation for application to ocean-bottom 4C seismic data. Geophysics, 78(6), S265–S284.
    [Google Scholar]
  9. Robertsson, J.O., van Manen, D.J., Schmelzbach, C, Van Renterghem, C. and Amundsen, L.
    [2015] Finite-difference modelling of wavefield constituents. Geophysical Journal International, 203(2), 1334–1342.
    [Google Scholar]
  10. Robertsson, J.O.A. and Blanch, J.O.
    [2014] Numerical methods, finite difference. In: Gupta, H. (Ed.) Encyclopedia of Solid Earth Geophysics (ESEG), Springer Verlag, 2nd edn., 883–892.
    [Google Scholar]
  11. Robertsson, J.O.A. and Chapman, C.
    [2000] An efficient method for calculating finite-difference seis-mograms after model alterations. Geophysics, 65(3), 907–918.
    [Google Scholar]
  12. Tan, S. and Huang, L.
    [2014] Reducing the computer memory requirement for 3D reverse-time migration with a boundary-wavefield extrapolation method. Geophysics, 79(5), S185–S194.
    [Google Scholar]
  13. Vasconcelos, I.
    [2013] Source-receiver, reverse-time imaging of dual-source, vector-acoustic seismic data. Geophysics, 78(2), WA123–WA145.
    [Google Scholar]
  14. Virieux, J.
    [1984] SH-wave propagation in heterogeneous media: Velocity-stress finite-difference method. Geophysics, 49(11), 1933–1942.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.201601175
Loading
/content/papers/10.3997/2214-4609.201601175
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