1887

Abstract

Summary

In order to understand many of the phenomena observed in exploration seismic data, such as dispersion, absorption, or resonance effects, one needs to be able to faithfully model wave propagation in complex geological sequences of poroelastic rocks. In developing such a capability, we are interested in modelling wave transmission through individual poroelastic media, and especially interested in modelling the nature of the reflection events, those that are recorded in exploration data. Thus we are developing modelling tools for wave propagation in fluid-saturated poroelastic media using both semi-analytical and numerical approaches. We discuss the equations governing wave propagation in poroelastic media, as well as details of the semi-analytical and the numerical (finite-difference) approaches to solution of such problems. We then present examples for a few geological models using both methods. The geological models are made up of a water layer overlying a number of rock layers, in general, poroelastic media, some with open porosity, some with closed porosity. We observe significant differences for different geological models which may prove useful in detecting various lithological and fluid properties.

Loading

Article metrics loading...

/content/papers/10.3997/2214-4609.201601521
2016-05-30
2024-04-26
Loading full text...

Full text loading...

References

  1. Biot, M.A.
    [1956a] Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low-frequency range. Journal of the Acoustical Society of America, 28, 168–178.
    [Google Scholar]
  2. [1956b] Theory of propagation of elastic waves in a fluid-saturated porous solid. II. Higher frequency range. Journal of the Acoustical Society of America, 28, 179–191.
    [Google Scholar]
  3. Carcione, J.M.
    [2015] Wave Fields in Real Media, 3rd edition. Elsevier, Amsterdam.
  4. Chiavassa, G., Lombard, B.
    [2013] Wave propagation across acoustic / Biot’s media: a finite-difference method. Communications in Computational Physics, 13, 985–1012.
    [Google Scholar]
  5. Gassmann, F.
    [1951a] Über die Elastizität porösen Medien. Vierteljahresschrift der naturforschenden Gesellschaft in Zürich, 96, 1–23.
    [Google Scholar]
  6. [1951b] Elastic waves through a packing of spheres. Geophysics, 16, 673–685.
    [Google Scholar]
  7. Hertz, H.
    [1881] Über die Berührung fester elastischer Körper. Journal für die reine und angewandte Mathematik, 92, 156–171.
    [Google Scholar]
  8. In English: On the contact of elastic solids. In Jones, D.E. and Schott, G.A. (Translators) [1899] Miscellaneous Papers by Heinrich Hertz. MacMillan and Co., Ltd, London, 146–162.
  9. Lefeuve-Mesgouez, G., Mesgouez, A., Chiavassa, G. and Lombard, B.
    [2012] Semi-analytical and numerical methods for computing transient waves in 2D acoustic / poroelastic stratified media. Wave Motion, 49, 667–680.
    [Google Scholar]
  10. Mavko, G., Mukerji, T. and Dvorkin, J.
    [2009] The Rock Physics Handbook, 2nd edition. Cambridge University Press.
  11. Mindlin, R.D.
    [1949] Compliance of elastic bodies in contact. Journal of Applied Mechanics, 16, 259–268.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.201601521
Loading
/content/papers/10.3997/2214-4609.201601521
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