1887
  1. Home
  2. A-Z Publications
  3. Geophysical Prospecting
  4. Volume 44, Issue 5
  5. Article
Volume 44 Number 5
  • E-ISSN: 1365-2478

Abstract

Abstract

The numerical tracing of short ray segments and interpolation of new rays between these ray segments are central constituents of the wavefront construction method. In this paper the details of the ray tracing and ray‐interpolation procedures are described. The ray‐tracing procedure is based on classical ray theory (high‐frequency approximation) and it is both accurate and efficient. It is able to compute both kinematic and dynamic parameters at the endpoint of the ray segments, given the same set of parameters at the starting point of the ray. Taylor series are used to approximate the raypath so that the kinematic parameters (new position and new ray tangent) may be found, while a staggered finite‐difference approximation gives the dynamic parameters (geometrical spreading).

When divergence occurs in some parts of the wavefront, new rays are interpolated. The interpolation procedure uses the kinematic and dynamic parameters of two parent rays to estimate the initial parameters of a new ray on the wavefront between the two rays. Third‐order (cubic) interpolation is used for interpolation of position, ray tangent and take‐off vector from the source) while linear interpolation is used for the geometrical spreading parameters.

Loading

Article metrics loading...

/content/journals/10.1111/j.1365-2478.1996.tb00176.x
2006-04-28
2024-04-20

  • From This Site

    /content/journals/10.1111/j.1365-2478.1996.tb00176.x
    dcterms_title,dcterms_subject,pub_keyword
    -contentType:Journal -contentType:Contributor -contentType:Concept -contentType:Institution
    10
    5
Loading full text...

Full text loading...

References

  1. CervenyV.1985. The application of ray tracing to the numerical modeling of seismic wavefields in complex structures. Handbook of Geophysical Exploration15A, 1–124, Geophysical Press.
    [Google Scholar]
  2. CervenyV. and HronF.1980. The ray series method and dynamic ray‐tracing system for three‐dimensional inhomogeneous media. Bulletin of the Seismological Societg of America70, 1, 47–77.
    [Google Scholar]
  3. MoserT.J.1991. Shortest path calculation of seismic rays. Geophysics56, 59–67.
    [Google Scholar]
  4. PodvinP. and LecomteI.1991. Finite‐difference computation of traveltimes in very contrasted velocity models; a massively parallel approach and its associated tools. Geophysical Journal International105, 271–284.
    [Google Scholar]
  5. SaitoH.1989. Traveltimes and raypaths of first‐arrival seismic waves: Computation method based on Huygens' principle. 59th SEG meeting, Dallas, Expanded Abstracts, 244–247.
  6. VidaleJ.1988. Finite‐difference calculation of traveltimes. Bulletin of the Seismological Society of America78, 2062–2076.
    [Google Scholar]
  7. VinjeV., IversenE. and GjøystdalH.1992. Traveltime and amplitude estimation using wavefront construction. 54th EAEG meeting, Paris, France, Expanded Abstracts, 504–505.
  8. VinjeV., IversenE., GjøystdalH. and ÅstebølK.1993a. Estimation of multivalued arrivals in 3D models using Wavefront Construction. 55th EAEG meeting, Stavanger, Norway, Extended Abstracts, paper B019.
  9. VinjeV., IversenE. and GjøystdalH.1993b. Traveltime and amplitude estimation using wavefront construction. Geophysics58, 1157–1166.
    [Google Scholar]
  10. VinjeV., IversenE., GjøystdalH. and ÅstebølK.1996. Estimation of multivalued arrivals in 3D models using Wavefront Construction–Part I. Geophysical Prospecting44, 819–842.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/journals/10.1111/j.1365-2478.1996.tb00176.x
Loading
  • Article Type: Research Article

Most Cited This Month Most Cited RSS feed

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